Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

The student council at Kensington High School is raising money by selling hot apple cider and hot chocolate at this week's games. They sold 42 apple ciders and 13 hot chocolates at the football game, raising a total of $152. They raised $56 at the soccer game by selling 10 apple ciders and 13 hot chocolates. How much is the student council selling each drink for?

The student council is selling apple cider for $ and hot chocolate for $.

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We are given

The student council earned $1.25 for every cup of hot chocolate it sold

and $0.75 for every cup of apple cider it sold

total number of cup is 375

We can see that first term is 1.25x

and we have

The student council earned $1.25 for every cup of hot chocolate

so, to find total cost of hot chocolate , we multiplied 1.25 with x

that's why

x must be the number of cups of hot chocolate sold

So the answer must be C


Related Questions

Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36

Answers

Answer:

D

Step-by-step explanation:

Ay 31 YO METAL TOP School Factcoobrom sovin 9.6.PS-18 Question Help The circumference of the hub cap of a tire is 73.66 centimeters. Find the area of this hub cap. Use 3.14 for at. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap. The area of this hub cap is about square centimeters. (Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest thousandth as needed.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Back Neats

Answers

Answer:

432 square centimeters

Step-by-step explanation:

Given :

The circumference of a hub cap is = 73.66 cm

The circumference of a circle is given as = 2πr, where r is the radius of the circular hubcap.

So , 2πr = 73.66

     ⇒ [tex]$r=\frac{73.66}{2 \times \pi}$[/tex]

      ⇒ [tex]$r=\frac{73.66}{2 \times 3.14}$[/tex]        (Using, π = 3.14)

     ⇒ r = 11.73 cm

Therefore the area of the hub cap is given by A = [tex]$\pi r^2$[/tex]

A = [tex]$3.14 \times 11.73 \times 11.73$[/tex]

   = 432 [tex]$cm^2$[/tex]

If the circumference of the hubcap were smaller, the area of the hubcap would be smaller too, since the circumference of the hubcap is proportional to the radius which is proportional to the area too.

What is the arc length of the shaded region of the circle to the newest centimeter?

Answers

l=theta (in radians) x radius
So 28 degrees =7pi/45
Then 7pi/45 x 4 =1.954768762 = 2cm (to nearest cm)

The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new cylinder can ?

Answers

Answer: [tex]282.85\ cm^2[/tex]

Step-by-step explanation:

Given

Radius of cylinder [tex]r=5\ cm[/tex]

The height of the cylinder is [tex]h=9\ cm[/tex]

The surface area of a cylinder is [tex]2\pi rh[/tex]

If only the outer is considered then, the area required is

[tex]\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2[/tex]

HEEELLLP!!
how many times bigger is 24,137,569 than 83,521
and happy Easter

Answers

Answer:

24,05r,048

Step-by-step explanation:

i think alls you do is take away the big number from ligtoe number if so ypu would get 24,054,048

Answer:

24,137,569 is 289 times bigger than 83,521

Step-by-step explanation:

24,137,569/83,521= 289

I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.​

Answers

Step-by-step explanation:

x^12

.....................................

What type of polynomial is this

Answers

Answer:

trinomial..............

If you can help, u r much appreciated : )))

Answers

I'm so sorry i wud help you but unfortunately I can't see the question fully!

Answer:

Is that all it tells you because I see no information to help answer the question

I see "month" and I see  "Number of movie"

Estimate the values to complete the table.

Answers

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97

sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26

tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

             = sin(∠C)

             = 0.26

sin(∠A) = sin(90 - ∠A)

            = cos(∠A)

            = 0.97

tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]

            = 3.73

Angle        [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]                 [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]                    [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

  A                    0.26                       0.97                             3.73

thx in advance for the help

Answers

Answer: [tex]x\geq 13[/tex]

Step-by-step explanation:

Given

The inequality is  [tex]2x-7\geq 19[/tex]

adding both side 7

[tex]2x-7+7\geq 19+7\\2x\geq 26[/tex]

Multiply both sides by [tex]\frac{1}{2}[/tex]

[tex]\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13[/tex]

the shaded region in the figure indicates the solution set.

In 2015, Macon County had a population of 53,792. The population increases by 2.5% annually. Which function can be used to model the population t years after
2015?

Answers

Answer: The answer is B

Step-by-step explanation: I took the test.

Annita sat outside the grocery store selling cookbooks. She kept track of how many cookbooks she sold over a seven day period. She added the number of books sold each day to the previous day and plotted her results on the line graph shown. When rounded to the nearest whole number, which of the following is closest to the mean number of cookbooks Annita sold each day?

Answers

Hope this helps you

Siân is saving for a car which costs 11 800 AUD. Find how many years it will take for the value of the investment to reach this value. Round to the nearest year.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.

Assume that:

[tex]r = 5\%[/tex] --- interest rate

[tex]PV =9000[/tex] --- Present value or invested amount

To calculate time (in years), we make use of the following formula of future value

[tex]FV = PV(1 + r)^n[/tex]

Where

[tex]FV = 11800[/tex]

So:

[tex]11800 = 9000( 1 + 5\%)^n[/tex]

Divide both sides by 9000

[tex]1.31 = ( 1 + 5\%)^n[/tex]

Take logarithm of both sides

[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]

Apply law of logarithm

[tex]Log(1.31) = nLog(1 + 5\%)[/tex]

Make n the subject

[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]

Express 5% as decimal

[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]

[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]

[tex]n = \frac{0.1173}{0.0212}[/tex]

[tex]n \approx 6[/tex]

The time to reach the future value is approximately 6 years.

Use the above explanation to answer your question

Please i need help ASAP

What is the range? ​

Answers

Answer:

your range is -9 to positive 5

Step-by-step explanation:

range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3

I want to know What is x=,y=,z=

Answers

Answer:

x=31 y=44 z=105

Step-by-step explanation:

Using the angle relationships, we know that 31 is equal to x, y is equal to 44 and z is equal to 105

Estimate the perimeter of the figure to the nearest whole number. perimeter: about __ units​

Answers

Answer:

16

Step-by-step explanation:

3+3+3+3+4=16

Write the slope-intercept form of the equation of each line
1) x—6y=—13
2) 4x— 5y= 15
3) 3X— y=2
4)13x- 7y= 56
5) x-4y=-16
6) 9x-y=1
7) x+2y=-8
8) 10x + 3y =6
9) 7x - 8y=8
10) y= -5

Answers

Answer:

1.) y= [tex]\frac{1}{6} x[/tex] + [tex]\frac{13}{6}[/tex]

2.) y = [tex]\frac{4}{5} x[/tex] - 3

3.) y = 3x - 2

4.) y = [tex]\frac{13}{7} x[/tex] - 8

5.) y = [tex]\frac{1}{4} x[/tex] + 4

6.) y = 9x - 1

7.) y = -[tex]\frac{1}{2} x[/tex] - 4

8.) y = -[tex]\frac{10}{3} x[/tex] + 2

9.) y = [tex]\frac{7}{8}x[/tex] - 1

10.) y = -5

What are the solutions to the quadratic equation 2x2 - 8x-24 = 0?
A. X = -2 and x = 6
B. X=-3 and x = 8
C. X= -6 and x = 4
D. x= -4 and x = 6

Answers

Answer:

it is A . I hope its helpful

A graph of is shown on the grid.


What are the zeros of f?

Answers

Answer:

no graph is provided, the zeros of f cannot be found without a graph

Step-by-step explanation:

Can anyone help me with this math problem please I will give brainly!! No links doe!

Answers

Answer:

d) 3 1/2 in^2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying width and length

5 × 7/10 = 35/10 and we can simplify it as 3 1/2 in^2

(a)whats is the value of x


(b) what is the measure of angle B

Answers

[tex]cdb = 8 \\ x = 4 \\ by \: pythagoras \: theorem \\ 8 {}^{2} = 4 {}^{2} + x{}^{2} \\ 64 = 16 + x {}^{2} \\ 64 - 16 = x {}^{2} \\ 48 = x{}^{2} \\ \sqrt{48 } = x\\ angle \: b = 60 \\ angle \: of \: equilateral \: triangle \: equal \: 60[/tex]

Cody bought two burgers and two small fries for $14. Mary bought three burgers and four small fries for $23. How much does one burger cost?

Answers

b = cost of burger
f = cost of fries

2b + 2f = 14, so
b + f = 7
We’ll solve for f in terms of b:

f = 7-b

Then substitute that in to our other equation (what Marty bought) to get a numerical value for b:

3b + 4f = 23
3b + 4(7-b) = 23
3b + 28 -4b = 23
-b = -5
b = 5

Then calculate f:
f = 7-b
f = 7-5 = 2

Burger $5
Fries $2

Please lmk if you have questions.

Answer:

the same as these 5 points, $5 for a burger

Step-by-step explanation:

NEED HELP please and thank you hehe

Answers

Answer:

113

Step-by-step explanation:

it's the x outside right?

please help me

also, stream enhypen's new song drunk dazed on yt and stream txt's song crown on spotify!

Answers

Answer:

60+60+60= 180

Step-by-step explanation:

all the angles in a triangle should add up to 180

60+60+60= 180


Hope it helps

The answer choices are

∠3 ≅ ∠2


ℓ ∥ m


∠1 ≅ ∠2


∠1 ≅ ∠3

Answers

Answer:

∠1 ≅ ∠3

Step-by-step explanation:

What is given is literally in the picture.

Caden earn a total of $10 for two hours of yardwork. After join a total of three hours of yard work, how much money will Kayden have earned? Assume the relationship is directly proportional.

Answers

Answer:

$25

Step-by-step explanation:

Its $5 dollars for each hour so, the two hours together are $10. With the 3 hours Caden did, he earned $25.

Answer:  25

then Step-by-step explanation: if 10 divided by 2 is five, ( 5$ an hour) then just add three more fives i think

27 is 72% of what number?

Answers

Answer:

37.5

Step-by-step explanation:

37.5 · 0.72 = 27

Answer:

37.5

Step-by-step explanation:

72%=0.72

0.72x=27

x=27/0.72

x=37.5

I need help with 5, find the area, thank you

Answers

there's not enough information you would need the other side of the shaded area or the smaller part of the small triangle.

please help ASAPPPPPPPPP

Answers

Answer:

++hhhhhhhhhhhhhhhhhh

Which of these r-values represents the weakest correlation?

Answers

Answer:

-0.25

Step-by-step explanation:

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