whats the answer for 45,688 -5.65​

Answers

Answer 1

Answer:

 

Step-by-step explanation:

Answer 2
45,682.35 would be your answer

Related Questions

To make mango smoothie, Fritzi mixed some mango and water in the
ratio of 3:4. She made 2800 ml of such smoothie. How many milliliters of water
did she use? A. 1600 B. 1500 C. 1400 D. 1300

Answers

Think like this. If you add 3 parts of mango you have to add 4 parts of water according to the ratio. So whole mixture contains 3 + 4 = 7 parts.

Consider the ratios as fractions,

Mango - 3/7
Water - 4/7

Let’s see how many milliliters of water in 2800ml.

If you make a 7ml solution water contains 4ml. Then,

For 2800ml ?

2800 x (4/7)
=1600

Answer is A-1600

Hope u will understand…

If EF=8, FD=10, ED=11, IG=24, and HG=26.4, find the perimeter of GHI. Round your answer to the nearest tenth if necessary. Figures are not easily drawn to scale.

Answers

The perimeter of the given figure is 79.4 units.

What is perimeter:

The perimeter of a polygon is defined as the length of the boundary around the sides of the polygon. The perimeter of a polygon can be calculated by calculating the sum of the lengths of the sides of the polygon.  

Perimeter of polygon = Sum of sides  

Here we have

EF = 8, FD = 10, ED = 11, IG = 24, and HG = 26.4  

As we know,

Perimeter = Sum of all sides  

The perimeter of GHI = (EF + FD + ED + IG + HG)  

=  8 + 10 + 11 + 24 + 26.4  

= 79.4 units

Therefore,

The perimeter of the given figure is 79.4 units.

Learn more about Perimeter at

https://brainly.com/question/29964119

#SPJ1

To avoid using the variable "vi", which of the following equations should you use?
A) v² = v² + 2aAx
B) Ax = (v₁ + v₁)t
C) Vf = V₁ + at
D) Ax = vft – ⁄at²​

Answers

In order to avoid using the variable "Vi", the equation which you should use include the following: D) Ax = Vft – 1/2at².

​What is the second equation of motion?

In Mathematics, the third equation of motion is represented by this mathematical expression:

Ax = Vit + ½at²     ......equation 1.

Where:  

Ax represents the distance travelled or covered.t represents the time.Vi represents the initial velocity.a represents the acceleration.

From the first equation of motion, we have:

Vf = Vi + at

Making Vi the subject of formula, we have:

Vi = Vf - at    ......equation 2.

Substituting the equation, we have:

Ax = (Vf - at)t + ½at²

Ax = Vft - at² + ½at²

Ax = Vft + ½at²

Read more on acceleration here: https://brainly.com/question/13223787

#SPJ1

Which of the following are true about ALL parallelograms? Select each correct
answer.
a. Opposite sides are congruent.
b. Opposite sides are parallel.
c. Opposite angles are congruent.
d. The diagonals bisect each other.
e. The diagonals are congruent.
f. Consecutive angles are congruent.
g. Opposite angles are supplementary.
h. Consecutive angles are supplementary.

Answers

following are true about ALL parallelograms are:

a. Opposite sides are congruent.

c. Opposite angles are congruent.

d. The diagonals bisect each other.

h. Consecutive angles are supplementary.

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

There are six crucial parallelogram characteristics to be aware of:

Congruent sides are those when AB = DC.Congruent opposite angels are D = B.Consecutive angles are supplementary.All angles are correct if just one of them is.A parallelogram's diagonals cut each other in half.A parallelogram's diagonals divide it into two congruent.

A rhombus is what we have when all of the sides of a parallelogram are congruent. Rhombi can use the characteristics of parallelograms.

We have a quadrilateral that is referred to as a trapezoid if just one pair of its sides are parallel. While the nonparallel sides are referred to as legs, the parallel sides are known as bases. We have what is referred to as an isosceles trapezoid if the legs are congruent.

Learn more about parallelogram click here:

https://brainly.com/question/20526916

#SPJ1

The area of this rectangle is at most 400 square centimeters, Write and solve an inequality to represent the possible values for the height, h, for this triangle. Show all steps of your work.

16cm h

Answers

An inequality to represent the possible values for the height, h, for this triangle is 1ft≤h≤25ft

The area of a rectangle is expressed as;

Area = Length * height

A = Lh

If the area of a rectangle is at most 400 square centimeters, this is expressed as;

A ≤400

≤ means at most that the area of the rectangle cannot be greater than 400

Substitute the given value into the inequality expression

Lh ≤ 400

Given

L = 16

16h ≤ 400

Divide both sides by 16

16h/16 ≤ 400/16

h ≤ 400/16

h ≤ 25

Hence the possible values of the height are within the range 1ft≤h≤25ft since we cannot have a negative value for the dimension.

To know more about the area of a rectangle:

https://brainly.com/question/21322544

#SPJ4

a swimming pool can be filled using either a pipe, a hose, or both. using the pipe alone it takes 12 hours. using both it takes 8 4/7 hours. how long does it take using the hose alone?

Answers

It takes 30 hours using the hose alone to fill the swimming pool.

How to add and subtract fractions?

Step 1: Make denominators the same

Step 2: Add or Subtract the numerators (keeping the denominator the same)

Step 3: Simplify the fraction

To add or subtract unlike fractions, the first step is to make denominators the same so that numerators can be added just like we do for like fractions.

Let [tex]x\\[/tex] represent the swimming pool be filled with hose alone.

Given that using the pipe alone it takes 12 hours. using both it takes 8 4/7 hours. According to given condition,

[tex]\frac{1}{x} + \frac{1}{12} = \frac{1}{8\frac{4}{7} } \\\frac{1}{x} = \frac{1}{\frac{60}{7} } - \frac{1}{12}[/tex]

[tex]\frac{1}{x} = \frac{7}{60} - \frac{1}{12}\\\\ \frac{1}{x} = \frac{7}{60} - \frac{5}{60}\\\\\frac{1}{x} = \frac{2}{60}\\\\ x = \frac{60}{2}\\\\\\ x= 30[/tex]

It takes 30 hours using the hose alone to fill the swimming pool.

To know more about fraction sums, checkout:

https://brainly.com/question/78672

#SPJ4

What is the value of 4.3x10^5

Answers

Answer: The value of 4.3x10^5 is 430000.

Step-by-step explanation:

To find the value of 4.3x10^5, you need to multiply 4.3 by 10 raised to the power of 5. This can be written as 4.310^5.

The value of 4.310^5 is 430000.

Dan and Matt's ages add up to 56. Dan is 13 times older than Matt. How old are they?

Answers

Dan is 52 years old and Matt is 4 years old.

What are their ages?

The first step is to form a system of equations using the information provided in the question:

a + b = 56 equation 1

a = 13b equation 2

Where:

a = Dan's age

b = Matt's age

The substitution method would be used to determine the values.

Substitute for a in equation 1 using equation 2:

13b + b = 56 equation 3

14b = 56

b = 56 / 14

b = 4

Substitute for b in equation 2:

a = 13(4)

a = 13 x 4

= 52

To learn more about system of equations, please check: https://brainly.com/question/28029988

#SPJ1

for how many values of the constant k will the polynomial x2 kx 36 have two distinct integer roots?

Answers

There are 2 values of k, 12 and -12, for which the polynomial x^2 + kx - 36 has two distinct integer roots.

The polynomial x^2 + kx - 36 has two distinct integer roots if and only if its discriminant is a perfect square.

The value of the discriminant is given by:

b^2 - 4ac = k^2 + 4 * 36 = k^2 + 144

So, for the polynomial x^2 + kx - 36 to have two distinct integer roots, k^2 + 144 must be a perfect square.

We know that the difference of two consecutive perfect squares is equal to an odd number, so we can start testing values of k by incrementing k by 1 and checking if k^2 + 144 is a perfect square.

Starting with k = 0, we have k^2 + 144 = 144, which is not a perfect square. For k = 1, k^2 + 144 = 145, which is also not a perfect square.

For k = 2, k^2 + 144 = 148, which is still not a perfect square.

We keep incrementing k and checking until we find a value of k such that k^2 + 144 is a perfect square.

When k = 12, we have k^2 + 144 = 168, which is a perfect square (12^2).

Therefore, the polynomial x^2 + 12x - 36 has two distinct integer roots.

We can repeat this process for negative values of k to see if the polynomial has two distinct integer roots for those values.

We find that for k = -12, the polynomial x^2 - 12x - 36 also has two distinct integer roots.

For more questions on polynomial

https://brainly.com/question/28782928

#SPJ4

If the playing surface of a carom bored is a square of length 28 inches, what is the diagonal length of the playing surface?

Answers

Answer:

To find the diagonal length, you can use the Pythagorean theorem.

If one side is 28 inches, and the board is a square, the other side must also be 28 inches.

a = side 1

b = side 2

c = diagonal length

a^2 + b^2 = c^2

(28)^2 + (28)^2 = c^2

784 + 784 = c^2

1568 = c^2

Square root both sides.

c = about 39.6 inches diagonal length

In △feg , point h is between points e and f, point j is between points f and g, and hj¯¯¯¯¯∥eg¯¯¯¯¯ . eh=14 , hf=26 , and fg=60 . what is fj ? enter your answer in the box. fj =

Answers

The value of FJ is 39 units.

See the attached figure to better understand the problem

We know that

If two triangles are similar, then the ratio of their corresponding sides is proportional and their corresponding angles are congruent.

According to this problem,

△FEG is similar to △FHJ  ( by AA Similarity Theorem)

so

[tex]\frac{FE}{FH} = \frac{FG}{FJ}[/tex]

We have,

FE = HF + EH = (26 + 14 ) units

FE= 40 units

FH = HF = 26 units

FG = 60 units

substitute the given values,

[tex]\frac{40}{26} = \frac{60}{FJ}[/tex]

[tex]FJ = \frac{26 * 60}{40}[/tex]

FJ =  39

So, the value of FJ is 39 units.

Read more about triangles:

https://brainly.com/question/25215131

#SPJ4

pls help me with this equation

Answers

In contrast to the pair of following two triangles, the initial two triangles do not share any similarities.

What is meant by similar triangles?

Two triangles are considered to be similar if the corresponding sides are proportionate and the corresponding angles are congruent. Or to put it another way, comparable triangles may not necessarily be the same size but they do have a similar shape. The triangles are also congruent if the lengths of their respective sides are the same.

We already know that the ratio of the two triangles' corresponding sides must match for them to be identical triangles.

A.) In the first pair of triangles,

The first pair of triangles to be similar,

[tex]$\frac{U S}{U D}=\frac{U T}{U E}=\frac{S T}{D E}$$[/tex]

The aforementioned ratio ought to be comparable, however as we can see,

[tex]$$\begin{aligned}& \frac{U S}{U D} \neq \frac{U T}{U E} \\& \frac{39}{16} \neq \frac{40}{16}\end{aligned}$$[/tex]

The two triangles supplied are not identical triangles because, as we can see, the ratio of the triangle's sides is not the same.

B.) In the second pair of triangles,

The second pair of triangles to be similar,

[tex]$\frac{A B}{H G}=\frac{B C}{G F}=\frac{C A}{F H}$$[/tex]

As we can see, the ratio should be comparable to the one above.

[tex]$\frac{72}{12}=\frac{48}{8}=\frac{84}{14}=6$$[/tex]

The two triangles supplied are similar triangles because, as we can see, the ratio of the triangle's sides is the same.

To learn more about similar triangles refer to:

https://brainly.com/question/14285697

#SPJ1

Complete the stem-and-leaf plot of the data.

Answers

The stem-and-leaf plot for the data in this problem is given as follows:

0|5 8 91| 2 2 3 4 5 82|1 5.3|0.

How to build the stem-and-leaf plot?

The measures that are less than 10 are given as follows:

5, 8 and 9.

Hence they go on the plot as follows:

0|5 8 9

The measures that are between 10 and 19 are given as follows:

12, 12, 13, 14, 15, 18.

Hence they go on the plot as follows:

1| 2 2 3 4 5 8

The measures that are between 20 and 29 are given as follows:

21 and 25.

Hence they go on the plot as follows:

2|1 5.

The remaining measure is given as follows:

30.

Which goes on the plot as follows:

3|0.

Missing Information

The problem is given by the image presented at the end of the answer.

More can be learned about stem and leaf plots at https://brainly.com/question/8649311

#SPJ1

You started a project on 9/29/2019. the project ended on 08/01/2022. how many working days did you have for the entire project?
a. 741 b. 1037 c. 1287 d. 832

Answers

One year has 5days*52weeks= 260days in year working days

2 years * 260= 520days FROM 2019-2021

2021-2022= 44 weeks

44 weeks*5 days= 220

220+520= 740 days ESTIMATED SO A IS THE ANSWER

741





the graph of a twice-differentiable function f is shown below(in image). if f(2)=0, which of the following is true

A) f(2) B) f’’(2) C) f’(2) D) f(2) E)f’’(2)

Answers

Answer:

The correct answer is C f(2)

The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?

Answers

For the function y = f (x),  the average rate of change on the interval - 1 ≤ x ≤ 3 is -2.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The graph of the function f(x) is graphed and the graph is given.

The average rate of change is a measure of how much the function changed per unit, on average, over that interval.

For a function f(x) at interval [a,b], the average rate of change is given as -

[f(b) - f(a)]/(b - a)

The interval values is given as - [-1,3]

The value for f(a) as seen in the graph is - 4.

The value for f(b) as seen in the graph is - -4.

Substitute the values in the equation -

Average rate of change = [f(b) - f(a)]/(b - a)

A = (-4 - 4)/[3 - (-1)]

A = -8/(3 + 1)

A = -8/4

A = -2

Therefore, the value for average rate of change is -2.

To learn more about function from the given link

https://brainly.com/question/2284360

#SPJ1

Graph the solution to this inequality on the number line.

−4x≥12

Answers

Answer:

Solution set for x is x ≤ -3
First option

Step-by-step explanation:

We have the equation

- 4x ≥ 12

Divide both sides by 4:

- x ≥ 12/4

-x ≥ 3

Multiply by -1 to make x positive. When we multiply an inequality by a negative number the inequality sign changes:  ≥ becomes ≤

Therefore we get
x ≤ 3

On the number line this is represented by the first choice

Note that the 3rd and 4th choices are easily eliminate since they represent ≥ -3 and > -3

Choice #2 has an unfilled circle at -3. This represents a < inequality

A filled circle represents a ≤ inequality

Answer

Solution set for x is x ≤ -3
First option

NEW ASSESSMENT QUESTION:
BASIC EDUCATION CERTIFICATE
SECTION A: OBJECTIVES
1. Divide 2.646 by 0.9. Give your answer to 1
d.p.

Answers

On applying the arithmetic operation of division, the expression 2.646 / 0.9 gives a result of 2.9.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The expression given is -

2.646 / 0.9

The expression is given in decimal form.

Use the arithmetic operation of division.

First remove the decimal points.

Multiply the numerator and denominator by 1000 as there are three decimal points in the numerator -

(2.646 × 1000) / (0.9 × 1000)

Now divide the expression -

2646 / 900

= 2.94

Rounding off to one decimal point gives 2.9.

Therefore, the value is obtained as 2.9.

To learn more about arithmetic operation from the given link

https://brainly.com/question/20628271

#SPJ1

One angle of a triangle measures 35°. The other two angles are in a ratio of 10:19. What are the measures of those two angles?

Answers

95 and 50 are the measures of those two angles.

What are the properties of triangle?

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

given, One angle of a triangle measures 35°. The other two angles are in a ratio of 10:19.

Let second angle of the triangle is "x"

Thus, third angle of triangle will be = 10/19x

Since, sum of the three angles of triangle is 180 degrees

35 + x + 10/19x = 180

29x/19 = 145

x = 5 *19

x = 95

So, Second angle of triangle = x = 95

Third angle of triangle = 10/19x = 50

therefore, the measures of those two angles are 95 and 50.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

A representative sample is one that accurately reflects a larger a) control group. Correct Response b) population. c) correlation coefficient. d) dependent variable.

Answers

The statement would e: A representative sample is one that accurately reflects a larger population.

The correct answer is an option (b)

We know that the sampling is used to find insights and observations about a population group.

A representative sample is nothing but a sample / a subset of a population that accurately reflect the characteristics of the larger group.

For example, consider a class of 50 students with 25 girls and 25 boys.

We can generate a representative sample that might include ten students: five girls and five boys.

As we know  the samples contain smaller, manageable versions of the larger group, they are useful in statistical analysis when population size is large.

Thus, a representative sample is used for obtaining insights and observations of the targeted population group.

Learn more about the sampling here:

https://brainly.com/question/15019364

#SPJ4

The complete question is:

A representative sample is one that accurately reflects a larger

a. dependent variable.

b. population.

c. control group.

d. correlation coefficient.

cathy has obtained a sample mean of 0.7 and , but she cannot remember if the sample size was 20 or 25. she accidentally erased the data file. find the correct sample size.

Answers

The sample size of the data which has a sample mean of 0.7 is 20.

What is mean?

Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

Given:

Cathy has obtained a sample mean of 0. 7 and, but she cannot remember if the sample size was 20 or 25,

Calculate the sample size as shown below,

As we know that the variance would be positive,

s² ≥ 1 / (n - 1) [Σ xi²-nx²]

0 ≥ 1 / (n - 1) [Σ xi²-nx²]

[10 - n × x × 0.7²] ≥ 0

n × x × 0.7² ≤ 10

n ≤ 10 / (0.7)²

n ≤ 20.408

Thus, the sample size is 20.

To know more about mean:

https://brainly.com/question/30130607

#SPJ4

i need helppp
HELLPP!!!!!!!!!!!

Answers

√131 lies between 11 and 12.

What are whole numbers?

The numbers that include natural numbers and zero are called whole numbers.

Given is the square root of 131.

We can write the square root of 131 as -

√131 = 11.45

We can write the whole numbers as -

11 < 11.45 < 12

Therefore, √131 lies between 11 and 12.

To solve more questions on numbers, visit the link below -

https://brainly.com/question/30034780

#SPJ1

the coordinates of three points are (2, 2), (4, 2), and (3, 3). what is the area of the triangle formed by connecting these three points?

Answers

The area of the triangle formed by connecting the three points is 6 square units. The result is obtained by using the determinant method.

How to find the area of a triangle in coordinate geometry?

The area of a triangle in coordinate geometry can be found by using the determinant formula.

[tex]Area \: of \: triangle = \frac{1}{2} \left[\begin{array}{ccc}x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right][/tex]

The three points of a triangle are:

(x₁, y₁) = (2, 2)(x₂, y₂) = (4, 2)(x₃, y₃) = (3, 3)

Using the determinant formula, the area of the triangle is

[tex]= \frac{1}{2} \left[\begin{array}{ccc}2&2&1\\4&2&1\\3&3&1\end{array}\right][/tex]

= ½ |2(2-(3)) - 4(2-(3)) + 3(2-2)|

= ½ |2(-6) - 4(-6) + 0|

= ½ |-12 + 24|

= ½ |12|

= 6 square units

Hence, the area of the triangle is 6 square units.

Learn more about calculating area of a triangle here:

brainly.com/question/29833247

#SPJ4

a study that surveyed a random sample of otherwise healthy high school students found that they are more likely to get muscle cramps when they are stressed. the study also noted that students drink more coffee and sleep less when they are stressed. (a) what type of study is this? observational experiment correct: your answer is correct. (b) can this study be used to conclude a causal relationship between increased stress and muscle cramps? yes no correct: your answer is correct. (c) state possible confounding variables that might explain the observed relationship between increased stress and muscle cramps. (select all that apply.) extra-curricular activities caffeine lack of sleep classes

Answers

This is because a survey of healthy high school students who were chosen at random revealed that stress is more likely to produce muscle cramps.

(a) What kind of research is this?

"Observational study" is the study's type.

Reason: This is because a survey of healthy high school students who were chosen at random revealed that stress is more likely to produce muscle cramps.

Can this data be used to draw a causal conclusion about the link between elevated stress levels and muscle cramps?

No, an observational study was unable to draw any conclusions about the link between elevated stress levels and muscle cramps. The Chi-square test can be used to determine the relationship between increasing stress and cramps.

(c) Describe any potential confounding factors that could account for the correlation between greater stress and muscle cramps.

Muscle cramps may be impacted by the increased stress.

In this case, the factors under consideration are qualitative variables. Count the number of times that high school students have visited a doctor with a muscular ailment.

Confounding factors for stress may include anxiety over taking the exam, less sleep, spending more time studying, eating less, drinking more coffee, and other factors.

To learn more about survey click here :

brainly.com/question/17373064

#SPJ4

Brittany opened a checking account with $50 she received for her birthday. She deposits $5 of her allowance each week.

Answers

It would be ten because 5 times 10 equals 50

can you answer this? please
[tex]55 \times 35 = [/tex]

Answers

On multiplying 55 × 35, the answer is  1925.

The simplest way to start teaching multiplication is to establish the relationship between the concept and addition, which your pupils should already be familiar with. Make sure your students understand the first principle of multiplication—that it is just repeated addition—before continuing on.

Your youngster can learn that multiplication is actually just a means to repeatedly add multiple groups of the same number by using objects like blocks and small toys. For instance, ask your youngster to arrange the blocks into six groups of three by writing the issue 6 x 3 on a sheet of paper.

        5 5

    ×  3 5

 ------------

     2 7 5

 + 1 6 5 ×

--------------

    1925

To learn more about Multiplication from given link

https://brainly.com/question/10873737

#SPJ1

Are the linear expressions equivalent? Select from the drop-down menus to correctly complete the statement. The expression 5(x−3)+1 Choose... to the expression 2+5x−16 .

Answers

The expression that would render the both the sides equivalent is 3x+2-2

What are like and unlike terms in an expression?

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: The expression 2+8x-16

To find its equivalent we have an incomplete expression 5(x-3)+1

Now 5(x-3)+1=5x-15+1

                     =5x-14

Thus Adding 3x+2-2 to this expression we get

5x-14+3x+2-2=2+8x-16

Therefore, we can deduce that the missing term must be 3x+2-2

Hence, The missing expression is 3x+2-2

Learn more about like and unlike terms here:

https://brainly.com/question/29078851

#SPJ1

Please complete. Due today


3 (n+7)

Answers

3(n+7) = 3n + 21 is the answer

Answer:
3(n+7) =
(3)(n) + (3)(7) =
3n + 21

Step-by-step explanation:


I hope this helps you :D

Let f(x) = 4x + 3 and g(x)=x²-x+1. Perform the function operation and then find the domain.
g(x)-f(x)
g(x)-f(x) = (Simplify your answer.)

Answers

The domain of g(x) - f(x) is all real numbers, or (-∞, ∞).

What is the domain?

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value). In other words, it is the set of values for which the function is valid and can be used without producing any errors or undefined results.

To perform the function operation g(x) - f(x), we need to subtract the function f(x) from the function g(x).

g(x) = x² - x + 1

f(x) = 4x + 3

g(x) - f(x) = x² - x + 1 - (4x + 3)

g(x) - f(x) = x² - 5x - 2

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).

For the function g(x) - f(x) = x² - 5x - 2, there are no restrictions on the input values, meaning that any value of x can be plugged into the function to produce a valid output.

Therefore, the domain of g(x) - f(x) is all real numbers, or (-∞, ∞).

To learn more about the domain visit,

https://brainly.com/question/26098895

#SPJ1

At the local Convenience store William and Sarah are getting snacks for the friends. William buys 3 soft drinks and 2 hot dogs at a cost of $7. 70, while Sarah buys 2 soft drinks and 1 hot dog at cost of $ 4. 55.
Find the cost of 1 soft drink and 1 hot dog.

Answers

If at local Convenience store , William buys 3 soft drinks and 2 hot dogs for $7.70, while Sarah buys 2 soft drinks and 1 hot dog at cost of $4.55 , then the cost of 1 soft drink is $1.4   and cost of 1 hot dog is $1.75  .

We will use system of equations to find cost of 1 soft drink and 1 hot dog. let the cost of 1 soft drink is = $x  ;  and

let the cost of 1 hot dog is = $y  ;

So , for William the situation is represented as ;

⇒ 3x + 2y = 7.70 .....equation(1)

and for Sarah the situation is represented as ;

⇒ 2x + y = 4.55    ....equation(2)

we first solve equation(1) for y:

⇒ y = (7.70 - 3x)/2

We can substitute this expression for y in equation (2) and solve for x:

⇒ 2x + (7.70 - 3x)/2 = 4.55

⇒ 4x + (7.70 - 3x) = 4.55×2

⇒ 4x -3x = 9.1 - 7.70

⇒ x = 1.4

So, the cost of 1 soft drink is $1.4  ,

Now , We can use this value of x to find the cost of 1 hot dog:

⇒ y = (7.70 - 3x)/2

⇒ y = (7.70 - 3×1.4)/2

⇒ y = (7.70 - 4.2)/2

⇒ y = 3.5/2  ;

⇒ y = 1.75

So, the cost of 1 hot dog is $1.75  .

Therefore, one soft drink costs $1.4  and one hot dog costs $1.75  .

Learn more about Equations here

https://brainly.com/question/16208617

#SPJ4

Other Questions
NEED HELP ASAP!! When Lisa runs, she takes 80 steps in 100 meters. How far has Lisa run when she has taken 2500 steps. Round to kilometers diego loves foods that are high in fat. when his friends point out that he should make healthier choices, he lets them know that he does not have a family history of heart disease or high cholesterol, so it is fine. what is the best response to diego? the effort, after the civil war, to recognize the seceded states and bring them back into the union. true or false Explain why a virus that relies on close contact might evolve to favor less harmful forms. the incomes of consumers of inferior good y decrease. what is the effect of the change in incomes on the market for good y? PLS HELP THXbtw the highlighted option is not the answer choose the word or phrase that best matches the word in italics she liked her bedroom but did not care for the hue of its walls the full premium was submitted with the application for life insurance, and the policy was issued two weeks later as requested. when does the policy coverage become effective? in mendel's law of separation, the first-filial generation is: a. recessive b. homozygous c. heterozygous d. autologous sunlight falling on a spaceship in a vacuum will cause the spaceship to become a bit positively charged. t or f? item6 1 points ebookitem 6 in a pure command economy, the prices at which goods and services are sold are planned by the multiple choice consumers. producers. private monopolists. world trade organization. Children and youth can be referred for case management services for a variety of reasons. Some examples include problems with school, behavioral problems, developmental delays, adjustments to events such as divorce or the death of a parent, trauma associated with abuse and/or neglect, and homelessness. When a child's parent calls to obtain services for their child, they may have been referred by the child's doctor's office, school, or local social service agency. Practice documenting an initial inquiry.First, select two clients from the examples below.Six-year-old child was referred by his teacher for severe attention and aggression difficulties. Normal interventions for behavior change have been ineffective. Child's father is calling for services.Two-year-old child was referred by pediatrician for social skill delay resulting from previous neglect by birth parents. Adoptive parents are calling for services.Ten-year-old child was referred by pediatrician for displaying some regressive behaviors. He has been wetting the bed almost nightly and having nightmares. Child's mother is calling for services.Fifteen-year-old youth is several months pregnant. She manages in school but only reads at the sixth-grade level. She is planning on dropping out after she has the baby. Youth's mother is calling for services.Second, develop your client and your client's problems. You can review articles in the Purdue Global Library or look online to find additional issues that your client might be struggling with. You can also think about how the client's parent(s) might be feeling and what issues the client's parent(s) might be facing when they make the first call. You will be creating information about your client to complete sections of a new referral or inquiry form.If you choose to research your topic in the Library, a suggested search format includes: "children" AND "severe aggressive behavior" AND "human services". Review the articles that come up to find an article on human service work with children/youth and the topic that you choose. You may have to open several articles to find one that meets these requirements; do not give up. You will find one. If you get stuck, use the "Library Help" area of the homepage. The librarians are excellent resources and will help you find what you are looking for.Third, provide information for each of the following sections, for both of your clients, as if you were completing a new referral or inquiry form.Referred byChief complaint and/or description of problemPrevious evaluation, services, or treatmentTaken byDispositionFinally, discuss how it felt to complete your first referral. Were there any sections that you struggled with? a client receiving therapy with carbidopa/levodopa is upset and tells the nurse that his urine has turned a darker color since he began to take the medication. the client wants to discontinue its use. in formulating a response to the client's concerns, how does the nurse interpret this development? 1. In parallelogram ABCD, what is the relationship between angle a and angle b? a = b a - b = 180 a = -b a + b = 180 2. In rectangle FGHK, FC = CH = 8. 5 cm. What is the area of rectangle FGHK? 8. 5cm 120cm 125. 5cm 15cm 3. In rectangle FGHK, FC = CH = 8. 5 cm. What is the length of GK? 8 cm 8. 5 cm 15. 5 cm 17 cm 4. In parallelogram EFGH, what is the relationship between angle e and angle g? e g = 180 e = -g e = g e + g = 180 Two vectors and are shown in the figure. Vector has a magnitude of =24.5 and an angle of =33.5. Vector has a magnitude of =46.9 and an angle of =57.5. The figure is not to scale.Express each vector in the figure using unit vector notation, =+ =+where , , , and are the calculated values of the and components of vectors and , respectively.A x y coordinate system with the positive x axis pointing horizontally to the right and the positive y axis pointing vertically upwards. Vector A extends from the origin into the first quadrant, has length r subscript A, and makes an angle theta subscript a with the positive x axis. Vector B extends from the origin into the third quadrant, has length r subscript b, and makes an angle theta subscript b with the negative x axis. Discuss and explain how TELUS might use the processes of market segmentation, market targeting, and market positioning. How is TELUS differentiated from its competitors? what three countries in europe have the lowest overall population density which of the following is the reason a clinician would hit bone while administering the psa block? group of answer choices the needle is bent slightly in order to accomplish the necessary needle angulations. the needle is parallel to the long axis of the distal root of the maxillary second molar. the angle of the needle is greater than 45 degrees backward from the apex of the maxillary second molar. the angle of the needle is not 45 degrees backward from the apex of the maxillary second molar. reasons for and consequences of the recent switch from sequential processing to parallel processing among hardware manufacturers. Analysis is composed of three different aspects. They include all of the following except: understanding comprehension assessment interpretation