Answer:
180
Step-by-step explanation:
20×9=180
A sandwich shop is ordering apples and grapes to make chicken salad. Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and paid $35.80, how many pounds of grapes did they order?
We got $19.51 but we think it is wrong.
Answer:
Less than 13 pounds of grapes,
as 14 pounds of grape exceeds $35.80,
If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound
Step-by-step explanation:
Let
Quantity of Apple and grapes=20
Cost of apple=$2.19
Cost of grape=$2.60
Total cost of apple and grape=$35.80
a+g=20
a=20-g
PaQa+PgQg=35.80
2.19(20-g)+2.60g=35.80
43.8-2.19g+2.60g=35.80
0.41g=35.80-43.8
0.41g=-8
g=-8/0.41
g= -19.51
PaQa+PgQg=35.80
2.19a+2.60(-19.51)=35.80
2.19a-50.726=35.80
2.19a=35.80+50.726
2.19a=86.526
a=86.526/2.19
=39.51
PaA+PgG=35.80
Pa(20-G)+2.60G=35.80
35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0
G<13.77
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
c
Step-by-step explanation:
edg
someone please help :rewrite 2.267 repeating 67 as a simplifed answer
Answer:
2⁵³/₁₉₈
Step-by-step explanation:
2.2676767 = 2.7676767 − 0.5
2.2676767 = 2⁷⁶/₉₉ − ½
2.2676767 = 2¹⁵²/₁₉₈ − ⁹⁹/₁₉₈
2.2676767 = 2⁵³/₁₉₈
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 267676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.676767
990x= 2245x= 2245/990x= 449*5/5*198x= 449/198 x= 2 53/198
In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
please help !!
Answer:
DF = 25
Step-by-step explanation:
We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
So,
DF = [tex]\frac{1}{2} AC[/tex]
Where AC = 50
DF = 50/2
DF = 25
I’m stuck on this!?!!
Answer:
[tex]x=66^\circ[/tex]
Step-by-step explanation:
[tex]x=\frac{180^\circ - 48^\circ}{2}\\\\=\frac{132^\circ}{2}\\\\=66^\circ[/tex]
Best Regards!
The area of a room is roughly 9∗10^4 square inches. If a person needs a minimum of 2.4∗10^3 square inches of space, what is the maximum number of people who could fit in this room
Answer:
37
The maximum number of people who could fit in this room is 37
Step-by-step explanation:
Given;
The area of a room A = 9 × 10^4 square inches
Minimum Area needed per person M = 2.4×10^4 square inches
The maximum number of people who could fit in this room is;
N = The area of a room A/Minimum Area needed per person M
N = A/M
Substituting the values;
N = 9×10^4 ÷ 2.4×10^3
N = 37.5
Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.
N = 37
The maximum number of people who could fit in this room is 37
An inequality is shown. 12+11/6x≤ 5+3x Select the statement(s) and number line(s) that can represent the inequality. Click all that apply. a. The solution set is {6, [infinity]} for x ∈ R. b. The solution set is {6, 7, 8, …} for x ∈ N. c. 6 ≤ x d. The value of a number substituted for x is greater than 6. (more options below.)
Answer:
(a)The solution set is: [tex]x \in [6, \infty) \forall x \in R[/tex]
(c) [tex]6 \leq x[/tex]
Step-by-step explanation:
Given the inequality: [tex]12+\dfrac{11}{6}x\leq 5+3x[/tex]
We solve by collecting like terms
[tex]12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6[/tex]
The solution set is therefore: [tex]x \in [6, \infty) \forall x \in R[/tex]
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
A company laid off one-sixth of its workforce because of falling sales. If the number of employees after the layoff is 690, how many employees were laid off?
Answer:
138
Step-by-step explanation:
Let the number of employees before the layoff be x.
1/6 of the company's workers were laid off and the remaining workers are 690. This means that:
1/6 * x = x - 690
=> x/6 = x - 690
=> 690 = x - x/6
690 = 5x/6
=> x = (690 * 6) / 5
x = 828
There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:
828 - 690 = 138 employees
The company's laying off its workforce is an illustration of proportions.
A total of 138 employees were laid off
The proportion (p) laid off is given as:
[tex]p = \frac 16[/tex]
The proportion (q) remaining in the workforce would be
[tex]q = 1 - p[/tex]
This gives
[tex]q = 1 - \frac 16[/tex]
[tex]q =\frac 56[/tex]
The workforce after 1/6 were laid off is given as 690.
So, we have:
[tex]q \times n = 690[/tex]
Where n represents the original workforce
This gives
[tex]\frac 56 \times n = 690[/tex]
Multiply both sides by 6/5
[tex]n = 828[/tex]
The number of employees that were laid off is:
[tex]Employee = 828 - 690[/tex]
[tex]Employee = 138[/tex]
Hence, 138 employees were laid off
Read more about proportions at:
https://brainly.com/question/16981404
help asap!!!!!! please
Answer:
Point B is 3/4
Step-by-step explanation:
the number line is split into fourths. Therefore, it is 3/4
I’m confused. Thanks
Step-by-step explanation:
Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC
and corresponding angles are equal or congruent.
Ok so angle XBC = 55 degrees and since this an isosceles triangle
XBC = XCB which means XCB = 55 degrees
Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.
Angle XBC + Angle XCB + Angle BXC = 180 degrees
Let x represent angle BXC
55 + 55 + x = 180
110 + x = 180
x = 180 - 110
x = 70
∴ Angle BXC = 70 degrees
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
The answer is "64".
Step-by-step explanation:
Given:
8-sided fair die
output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
if the Dice is thrown two times. so, the possible outputs are as follows:
[tex]\to 8 \times 8=64[/tex]
[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]
[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]
[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]
[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]
That's why the product is 64.
Find the equation of the circle whose center and radius are given.
center (7.-3), radius = 7
Answer:
(x - 7)² + (y + 3)² = 7
Step-by-step explanation:
The equation of a circle is denoted by: [tex](x -x_1)^2+(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius.
Here, the centre is (7, -3), which means [tex]x_1=7[/tex] and [tex]y_1=-3[/tex]. The radius is r = √7. Plug these values into the formula:
[tex](x -x_1)^2+(y-y_1)^2=r^2[/tex]
[tex](x -7)^2+(y-(-3))^2=(\sqrt{7}) ^2[/tex]
[tex](x -7)^2+(y+3)^2=7[/tex]
Thus, the answer is (x - 7)² + (y + 3)² = 7.
~ an aesthetics lover
Explain how to choose an appropriate unit for a measurement.
Answer:
Use the graph of the exponential growth function
f(x) = a(2x) to determine which statement is true.
f(0) = 2 when a = One-half.
f(0) = 3 when a = 3.
f(1) = 9 when a = 9.Step-by-step explanation:
The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
Work out the range of these numbers : -8, 6, -5, 2.5 thanks!
Answer:
14
Step-by-step explanation:
The range of a given set of values is the lowest value deducted from the highest value.
Lowest value is -8 and highest value is 6.
Therefore,
[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]
Hope it helps!
What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?
Answer:
y - 5 = -7(x - 8)
Step-by-step explanation:
We can immediately adapt y - k = m(x - h) as follows: replace m with -7, h with 8 and k with 5, obtaining:
y - 5 = -7(x - 8)
This is the desired equation in point-slope form.
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = [tex]\frac{1}{2} *4[/tex]
= 2 papas secas
Cerdo = [tex]\frac{1}{2} *4[/tex]
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = [tex]1\frac{1}{2} *4[/tex]
= [tex]\frac{3}{2} *4[/tex]
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
Is the following graph a linear function, a nonlinear function, and/or a relation
Answer: Option C.
Step-by-step explanation:
Ok, first, a linear function is something of the shape of:
y = a*x + b.
And the graph of those functions is a line, as the name implies, so we can discard that option.
So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.
Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.
Then the correct option is C, nonlinear, and a relationship.
How many sides does a regular polygon have
if one of its exterior angles =45°?
Answer:
8 sides.
Step-by-step explanation:
Divide the exterior angle with 360.
360 ÷ 45 = 8
The regular polygon has 8 sides.
Answer:
Step-by-step explanation:
Sum of measures of all angles of a regular polygon = 360 degree
one exterior angle = 45 degree
∴ no of sides = 360/45 = 8 sides
hope this helps
plz mark it as brainliest!!!!!!
Which measurement is not equivalent to the others? 1 yard 3 feet 1/100 of a mile 36 inches
Answer: 1/100 of a mile
Step-by-step explanation:
36 inches is equal to 3 feet which is equal to 1 yard
1/100 of a mile = 633.6 inches
Answer:
1/100 of a mile
Step-by-step explanation:
Which of the following is the solution to (x-13)<18
Answer:
The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)
a store is having a sale on almonds and jelly beans. for 2 pounds of almonds and 3 jelly beans , the total cost is $14. for 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $33. find the cost of each pound of almonds and each pound of jelly beans
Answer:
almonds cost $3.25 per pound and jelly beans $2.50
Step-by-step explanation:
system of linear equations
2a+3j=14
4a+8j=33
solution is (3.25, 2.5)
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
2x + 5y = 12
-2x + 3y = 4
In elimination method
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) What is Miguel’s expected value from playing the game?
Answer:
The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"
Step-by-step explanation:
Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1. In total, there are four balls, so his probability of winning is:
[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]
The chances of losing a dollar add up to that amount, so 5/6.
Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]
[tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]
The final answer is "[tex]-\frac{1}{2}[/tex]"
Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8
Answer:
A
Step-by-step explanation:
[tex](10^{-2})^{4}[/tex]
Apply the law of exponents.
[tex]10^{-2 \times 4}[/tex]
[tex]=10^{-8}[/tex]
Answer:
[tex] = {10}^{ - 8} \\ [/tex]
Answer A is correct.
Step-by-step explanation:
[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]
URGENT!!!!
An ocicat eats 3/5 of a pound of food daily. How many ocicats can a 19 1/2 -pound bag of food feed for one week? Explain your solution.
Answer:
13 ocicats
Step-by-step explanation:
Here, we are told that an Ocicat eats 3/5 pounds of food per day.
Now, we have a bag of 19 1/2 pound of food and we want to know the number of ocicats this will feed
What we just need to do is to divide the weight of the bag by the amount in pounds that can feed a single ocicat
Thus, we have;
19 1/2 divided by 3/5
= 39/5 divided by 3/5
= 39/5 * 5/3
= 13 Ocicats
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Step-by-step explanation:
here first you have to find the perimeter of square
given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....
now you have the radius of the circle so by applying the formula of area of circle the answer will be finded
Please follow
Answer:
38.47 units²
Step-by-step explanation:
I got it right on the test...