Answer:
$1.35
Step-by-step explanation:
Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:
3d + 5s = 25.05
4d + 2s = 13.80
We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.
-6d - 10s = -50.1
20d + 10s = 69
Add them together:
14d = 18.9
d = 1.35
AC= ? Round your answer to the nearest hundredth.
Answer:
answer should be 40
Step-by-step explanation:
Here
are
two
rectangles:
4x
2= -3
A
2.5
av
All measurements (cm)
Both
rectangles
hake
area.
Work out perimeter of shape B.
same
Answer:
Perimeter of rectangle B = 29cm
Step-by-step explanation:
Area of A = 4x x 2.5
Area of B = (2x - 3) x 7
The area of A and B are equal so
4x x 2.5 = (2x - 3) x 7
10x = 14x - 21
-4x = -21
4x = 21
x = 5.25
Work out the perimeter of B:
2x - 3
= (2 x 5.25) - 3
= 7.5
7.5 x 2 = 15
15 + (7 x 2) = 29
Therefore, the perimeter of rectangle B = 29cm
The area of Rectangle is length times of width. Perimeter of rectangle A is 47cm
What is Area of Rectangle?The area of Rectangle is length times of width.
Area of rectangle A is 4x x 2.5
Area of B = (2x - 3) x 7
The area of A and B are equal so
4x x 2.5 = (2x - 3) x 7
10x = 14x - 21
Take common variables on one side
10x-14x=-21
-4x = -21
Multiply minus on both sides
4x = 21
Divide both sides by 4
x = 5.25
So 4x=4(5.25)=21
2x-3=2(5.25)-3=7.5
Let us find the perimeter of a rectangle with length 21 and width 2.5
2(21+2.5)
2(23.5)=47
The perimeter of rectangle A is 47
Hence the perimeter of rectangle A = 47cm
To learn more Area of Rectangle click:
https://brainly.com/question/20693059
#SPJ2
Please answer this question fast in two minutes
Answer:
(7, 8)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]
Simply set our midpoint and given point equal into a formula to find the other endpoint:
4 = (1 + x)/2
8 = 1 + x
x = 7
6 = (4 + y)/2
12 = 4 + y
y = 8
What is the nth term rule of the quadratic sequence below? 7, 14, 23, 34, 47, 62, 79
Answer:
Tn = Tn-1 + 2(n-1) + 5
Kindly note that Tn-1 means T subscript n-1
Step-by-step explanation:
Here, we want an expression for the nth term.
First term is 7
Then first common difference is 7
second common difference is 7 + 2
Third common difference is 9 + 2
So within the common differences, the nth term is 7 + (n-1) 2
Now, the nth term of the series would be;
Tn = Tn-1 + 7 + 2(n-1)
Tn = Tn-1 + 7 + 2n -2
Tn = Tn-1 + 2n + 5
Now there is a fix to this,
n for the term is not the same n for the common difference.
the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.
So we might need to rewrite the final expression as follows;
Tn = Tn-1 + 2(n-1) + 5
Two functions are graphed on the coordinate plane.
Which represents where f(x) = g(x)?
10
8
Of(4) = g(4) and f(0) = g(0)
O f(-4) = g(-4) and f(0) = g(0)
O f(-4) = g(-2) and f(4) = g(4)
Of(0) = g(-4) and f(4) = g(-2)
Answer:
Option B
Step-by-step explanation:
We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -
Function f( x ) where x = - 4 / Function g( x ) where x = - 4,
[tex]f( - 4 ) = 4,\\g( - 4 ) = 4\\----------\\f ( - 4 ) = g ( - 4 )[/tex]
Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,
[tex]f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )[/tex]
Your solution should be option b, " f(-4) = g(-4) and f(0) = g(0) "
Find the solutions to the equation below.
16x2 - 64 = 0
A. X=-4
B. X= 4
C. X = -2
D. X=-8
E. X= 2
F. X=-64
Answer:
C. X = -2
E. X = 2
Step-by-step explanation:
16(-4)² = 64
16(16) = 64
256 = 64 (false)
16(4)² = 64
16(16) = 64
256 = 64 (false)
16(-2)² = 64
16(4) = 64
64 = 64 (true)
16(-8)² = 64
16(64) = 64
1024 = 64 (false)
16(2)² = 64
16(4) = 64
64 = 64 (true)
16(-64)² = 64
16(4096) = 64
65356 = 64 (false)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
pretty sure its 5 since 5 is the hoghest exponent
what is the multiplicative inverse of 1 ½
Answer:
-2/3
Step-by-step explanation:
Well, multiplicative inverse means the opposite of a answer in this case 1 1/2 has to be made into an improper fraction.
3/2.
Hence, the multiplicative inverse of 3/2 is -2/3.
Matthew wants to estimate the mean height of students attending his collage. He records the heigjts of 100 randomly selected students attending the college. What is the population?
Answer:
ned more info
Step-by-step explanation:
The correct option that shows the population of the research carried out by Matthew is Option D; all the students attending the college.
What is the mean?Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.
We are told that Matthew wants to estimate the mean height of students attending his college.
Now, let us say the total number of students in his college is x.
If he decides to select 100 students randomly to record their height, it means this 100 student is a sample out of the total number of students which is x that is the population.
In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.
Hence, The correct option that shows the population of the research carried out by Matthew is Option D; all the students attending the college.
Read more about mean here at;
brainly.com/question/6028584
#SPJ2
Which of the following is the correct factored form of the given equation?
Answer: 3
Step-by-step explanation:
A map has a scale of 1 cm to 2.3 km. The real-life distance between two towns is 69 km. What is the distance between the two towns on the map?
Answer:
Step-by-step explanation:
Cm : km
1 : 2.3
x : 69 Cross multily
2.3x = 69
x =[tex]\frac{69}{2.3}[/tex]
x = 30cm
the distance between the two towns on the map is 30cm
Answer:
30 cm
Step-by-step explanation:
69/2.3 = 30
40 cm³ of mercury weighs 544 g. Calculate the density of mercury. pls answer question
Answer:
13.6
Step-by-step explanation:
density= mass/volume
= 544g/40cm3
=13.6
Simplify the following expression (62)4
Answer:
[tex]3^{0} =1[/tex]
Step-by-step explanation:
The points A (-3, b), and B (1, 3) are 5 units apart. Find the value of b.
Answer:
b = 0
Step-by-step explanation:
To find the value of b, we will follow the steps below;
Using the distance formula:
D = √(x₂-x₁)² + (y₂-y₁)²
from the question given,
A (-3, b), this implies
(-3, b) = (x₁ ,y₁)
x₁=-3 and y₁ = b
similarly
B (1, 3)
(1, 3) = (x₂,y₂)
this implies
x₂ = 1 and y₂=3
D= 5
we can now proceed to insert the values into the formula and then solve for b
D = √(x₂-x₁)² + (y₂-y₁)²
5 = √(1+3)² + (3-b)²
5 = √4² + (3-b)²
5=√16 + (3-b)²
take the squares of both-side of the equation
5² = 16 + (3-b)²
25 = 16 + (3-b)²
subtract 16 from both-side of the equation
25 - 16 = (3-b)²
9 = (3-b)²
Take the square root of both-side
√9 = 3-b
3 = 3-b
add b to both-side of the equation
3 + b = 3 - b+ b
3 + b = 3
subtract 3 from both-side of the equation
3+b-3 = 3-3
b = 0
Therefore, the value of b is 0
Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples.
Answer:
She bought 3 pounds of apples.
Step-by-step explanation:
First we look at our given steps:
1 pound of apples=$1.79
total=$5.37
We need to divide her total by the cost per pounds of apples. So 5.37/1.79=3.
The number of pounds Anita purchased is 3.
How many pounds did Anita purchase?Given: $1.79 per pound, spent $5.37 on apples
We must divide her aggregate by the cost per pound of apples.
Number of pounds = Total Spent / Amount per pound
Number of pounds = 5.37/1.79
Number of pounds = 3.
The number of pounds Anita purchased is 3.
Therefore, the number of pounds is 3.
The completed question is,
Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples. Type the correct answer in the box.
To learn more about the algebraic expression
https://brainly.com/question/19864285
#SPJ2
Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metres on his scale model. The real distance from the Sun to Jupiter is 7.8 × 10 8 kilometres. Find the scale of the model. Give your answer in the form 1 : n , where n is written in standard form.
Answer:
1 : 9.75 * 10⁷
Step-by-step explanation:
To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.
Answer:
1:9.75x10^10
Step-by-step explanation:
780000000km/0.008km=97500000000
=9.75×10^10what is the solution to the system of equations? A. (7,4) B. (7,13/3) C. (8,14/3) D. (9,7)
Answer:
B. (7, 13/3)
Step-by-step explanation:
Since the graph doesn't show the intersecting point, we must use algebra to solve this (Substitution or elimination).
Step 1: Substitute y
1/3x + 2 = 4/3x - 5
Step 2: Isolate x
-x + 2 = -5
-x = -7
x = 7
Step 2: Find y using x
y = 1/3(7) + 2
y = 7/3 + 2
y = 13/3
Please answer this question in two minutes
Answer:
(7.5 , 5.5)
Step-by-step explanation:
The midpoint is halfway between the two end points:
Its x value is halfway between the two x values
Its y value is halfway between the two y values
To calculate it:
Add both "x" coordinates, divide by 2
Add both "y" coordinates, divide by 2
.can someone please help me I really need help please help me thank you
Hey there! I'm happy to help!
The surface area is basically the total area of all of the two-dimensional shapes that make up the prism. So, the surface area is the area of our two triangles, the big rectangle on the bottom, the big rectangle that goes diagonal, and the long on the back.
First, let's find the area of our triangles. To find the area of a triangle, you multiply the base by the height and then divide it by two!
4×3=12
12÷2=6
So, each of our triangles has an area of 6 cm².
Now, let's find the area of the bottom rectangle. To find it, we just multiply the long side by the short side.
4×11=44
Now, let's look for the big diagonal rectangle above the bottom rectangle.
5×11=55
Finally, we'll find the area of the back rectangle.
3×11=33
Now, we add all of our measurements up: our two triangles and the three rectangles.
6+6+44+55+33=144
Therefore, the surface area of this prism is 144 cm².
Now your can find the surface of area of these shapes! Have a wonderful day!
help.. Me plssssssss
1)
2, 5, 8, 11, 14
2)
0, 2, 8, 18, 32
3)
-6, -1, 2, 3, 10, 29
substitute the given values for x and do as the function says.
Determine the intercepts of the line.
Answer:
(-7.5, 0) x intercept
(0, 5.5) y intercept
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at (-7.5, 0)
The y intercept is where it crosses the y axis
It crosses at (0, 5.5)
Answer:
the x intercept will be (-7.5,0) and the y=(5.5,0)
Step-by-step explanation:
the intercept is were the line cross the graph.
Which rule describes the composition of transformations
that maps ABC to A'B'C"?
Answer:
Step-by-step explanation:
To get from ABC to A'B'C', ABC is reflected across line m.
To get from ABC to A"B"C", ABC need to first be reflected across line m. Then, it needs to be rotated 90° clockwise to get to A"B"C".
I'm not exactly sure which one you were trying to get (so I just added both), because you said A'B'C", instead of A'B'C' or A"B"C", but I really hope this answers your question!
The rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
We have to given that,
To find the rule which describes the composition of transformations that maps ABC to A'B'C'.
Here, The triangle ABC and it's image A'B'C' is shown in image.
Clearly, Image of triangle ABC is reflect across the line m.
Thus, the rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
Learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ2
Which one of the following statements expresses a true proportion?
O A. 7:9 = 8:9
OB. 3:4 = 9:12
O C.54:9 = 6:3
OD. 2:1 1:2
Answer:
The answer is B.
Step-by-step explanation:
A true proportion is a set of ratios that equal each other.
For example, 1:2=2:4 is a proportion.
As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)
I hope this helps!
Joy makes 6.5 litres of soup, correct to the nearest 0.5 litre. She serves it the soup in 280ml portions, correct to the nearest 10ml. 22 people order this soup, Does joy definitely have enough soup to serve the 22 people
Answer:
Joy definitely does have enough soup for 22 people.
Step-by-step explanation:
Upper Bound: 285ml turn it to 0.285l 10÷2=5
280ml
Lower Bound: 275ml turn it to 0.275l
Upper Bound: 6.75l 0.5÷2=0.25
6.5 Litters
Lower Bound:6.25l
6.75÷0.275=24.54 or 25
6.25÷0.285=21.92 or 22
22 < 25 Joy definitely does have enough soup for 22 people.
solve for v. -9/8 = v - 1/2
Answer:
[tex] - \frac{5}{8}[/tex]
Step-by-step explanation:
[tex] - \frac{9}{8} = v - \frac{1}{2} \\ \\ \frac{1}{2} - \frac{9}{8} = v \\ \\ \frac{4}{8} - \frac{9}{8} = v \\ \\ \frac{4 - 9}{8} = v \\ \\ v = - \frac{5}{8} \\ [/tex]
A loaf of bread that is baked today costs $7. All of the bread baked yesterday is 40% off.
Tobin has $5. He wants to know if $5 is enough to purchase a loaf of yesterday's bread.
How can Tobin find the price of a loaf of
yesterday's bread? Complete the statement
The price of ?
equals
the price of ?
minus
the discount
The price of yesterday's bread equals the price of today's bread minus the discount.
The price of yesterday's bread is equal to the price of today's bread less the dollar equivalent of the discount.
dollar equivalent of the discount = 40% X $7
= 0.4 X $7 = $2.80
Price of yesterday's bread = $7 - $2.80 = $4.20
To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849
Which one of the following is the graph of:
Answer:
B
Step-by-step explanation:
Correct if wrong
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which integer represents the total number of yards at the end of the first four plays?
Answer:
They made 0 gain/loss.
Step-by-step explanation:
0 - 9 = -9
3 x 3 = 9
-9 + 9 = 0
Please tell me if I'm wrong.
functions.
Which values are within the domain of the function?
Check all that apply.
st
x= -6
x=-4
2
1 x= -2
LED x = 0
-4
-2
2
4
I x = 2
0 x = 4
-2.
-4
Answer:
2,5 and 6
Step-by-step explanation:
The answer is going to be option 2, 5 and 6 because the line touches -4,2 and 4 on the x axis. And these are the x values so that's why this is going to be the answer.
Hope this information helps you!
x=-2, x=-4, x=2 and x=4 values are within the domain of the function
What is a function?A relation is a function if it has only One y-value for each x-value.
The domain of a function is the set of all possible inputs for the function.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
x=2, x=4, x=5, x=-2, x=-4 are the values in domain
Hence, x=-2, x=-4, x=2 and x=4 values are within the domain of the function
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
Find the roots of x^2+5x-24=0
Answer:
The roots for the given equation are -8 and 3.
Step-by-step explanation:
The first thing we must do in order to find the roots is factor the equation. We can do this by first multiplying the first and last term together. Then, we find the factors of that product that multiply together to that product but also adds together to get the middle term in the equation.
x² * -24 = -24x²
-24x² = 8x * -3x
Now, we write our new equation by replacing 5x with 8x - 3x.
x² + 8x - 3x - 24
Group the first and second terms together and also group the last two terms together.
(x² + 8x) + (-3x - 24)
Factor each parentheses. You will know that you factored them correctly when the two terms in the final parentheses are the same.
x(x + 8) -3(x + 8)
Since the two terms in the parentheses are the same, hen we have correctly factored out the equation. Now, we form the equation so we can find the roots.
(x - 3)(x + 8)
Now, equal each term in the parentheses to zero.
x - 3 = 0
x + 8 = 0
Now, solve for x in each equation. The final answer for each equation will be our roots. The roots are the values of x in a quadratic equation.
x = 3
x = -8
So, the roots of this equation are {-8, 3}