FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping.
The graph represents the relationship between the number of toppings, x, and the total cost of a large cup of frozen yogurt, y, at the two stores.
For what total cost are the number of toppings the same at both stores?

Answers

Answer 1

Answer:

3 toppings for a total of $6.50

Step-by-step explanation:

Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...

F = 5.75 + 0.25x

B = 2.75 + 1.25x

Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...

5.75 + 0.25x = 2.75 + 1.25x  ... subtract 2.75 and 0.25x on both sides

3 = 1x ... divide both sides by 1

3 = x

Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50


Related Questions

In a music competition, a participant has to score a total of 40 points in the first four rounds combined to move on to the 5th and final round. Glen scored 4 points in the first round. He then went on to score additional points in the second, third and forth rounds. In each round he scored the identical points. Which inequality shows the number of points Glen scored.

Answers

Answer:

x ≥ 12

Step-by-step explanation:

Given that :

Total points required = 40

1st round point = 4

2nd, 3rd and 4th round points are identical

Let the point number of points = x

2nd + 3rd + 4th = 3

1st round + 3(x) ≥ 40

4 + 3x ≥ 40

3x ≥ 40 - 4

3x ≥ 36

x ≥ 12

Find the unit rate.
350 papers for $140

Answers

Answer:

2.5

Step-by-step explanation:

take the number of papers and divide it by cost to determine the number of papers/dollar

350/140

(kinda like a fraction, ima just simplify to make it easy to see the answer)

35/14

5/2

2 1/2

Hope This Helps

Answer:

2.5 is the answer

Step-by-step explanation:

The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?

Answers

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

The given vertices the ΔFGH are;

F(2, 1), G(4, 1), and H(4, -1)

The lengths of the sides of the triangle ΔFGH are;

The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2

The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2

The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2

After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;

The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)

The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4

The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2

The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4

The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH

Therefore, the scale factor of the dilation is 2.

what is 4/5 ÷ 1/3 =____​

Answers

2.4 i’m pretty sure it is

12.2​z ​+ 19.4 = -2.7​z​ + 93.9

Answers

Answer:

z=5

Step-by-step explanation:

12.2z​+ 19.4 = -2.7​z​ + 93.9

14.9z=74.5

z=5

Z=5 I believe I hope this helps :)

Solve for side BA
(show your work)

Answers

Answer:

The length of AB is 25.6 mi.

Step-by-step explanation:

You have to apply Sine Rule :

[tex] \frac{AB}{ \sin(90) } = \frac{22.6}{ \sin(62) } [/tex]

[tex]AB = \frac{22.6}{ \sin(62) } \times \sin(90) [/tex]

[tex]AB = 25.6 \: mi \: \: (3s.f)[/tex]

NEED HEPP FAST MARKING PEOPLE AS BRAINLIST

Answers

Answer:

yes becasue their sides have the same length and angles

Step-by-step explanation:

Find the missing length of the triangle.
C=_Km

Answers

U need to use the a^2+b^2=c^2. So 21^2+ 20^2=___. From there u square root your answer to find the length of the side.

Answer:

c = 29km

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841

[tex]\sqrt{841}[/tex] = 29

if a number is tripled , it give same result as 28 is added to it find the number

Answers

Given :

If a number is tripled , it give same result as 28 is added to.

To Find :

We need to find that number.

Solution :

Let, the number is x.

Mathematical equation of the given scenario is :

3x = x + 28

3x - x - 28 = 0

2x - 28 = 0

x = 14

Therefore, the which give such result is 14.

Answer:

Answer :>

Step-by-step explanation:

Given :

If a number is tripled , it give same result as 28 is added to.

To Find :

We need to find that number.

Solution :

Let, the number is x.

Mathematical equation of the given scenario is :

3x = x + 28

3x - x - 28 = 0

2x - 28 = 0

x = 14

Therefore, the which give such result is 14.

T-T thank you  


could someone help

Answers

Answer: 3v^2w^2 + 10v^2w^3 (or the first option on the screen)
The first one is right 3v^2 w^2 +10v^2 w^3

(2x+30) (3x+5) what is the value of x

Answers

Answer:6x^2+100x+150

Step-by-step explanation:

6x^2+100x+150 hope it helps

Help me please and thank you! try your best i will mark brainlist who is first and accurate.

Answers

Answer:

the first

Step-by-step explanation:

if it's perpendicular so is the gradient so y= -5/6 + 12

*I'm so sorry if I'm wrong

Help this confusing no matter how any times I do it

Answers

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

Simplify the following expression by showing any work

Answers

Answer:

4[tex]x^{4}[/tex][tex]y^{4}[/tex]z

X-3=x+13 solution or not

Answers

there’s no solution

Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?

A.13 miles
3 hours

B.3 hours
13 miles

c.3 miles
13 hours

D.13/3 miles
1 hour

Answers

Answer:

Not sure what is asking,but if it is asking for the equation. Then it is 13/3.

Step-by-step explanation:

2) Solve the system of equations:

y=6x

4x+y=7

Answers

Answer: x= 7/10

Y= 21/5

Step-by-step explanation:

what is the answer to 9x=y+8

Answers

Answer:

1

Step-by-step explanation:

Answer:

For X:

Divide each term by 9

and simplify.

x= y/9 + 8/9

For Y:

y= 9x−8

Help I’m very confused and was wondering if anyone is willing to help.

Answers

Answer:

57°

Step-by-step explanation:

LHS angle=RHS angle=57° (vert. opp angles)

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Answers

12 cups= 3 quarts

there ya goo

pls, help me 16 points :)

Answers

Answer:

I went through and graphed them all, and the graph for A matched perfectly :)

Step-by-step explanation:

what is the equation of a line that passes through the points (5,3) and (1,-5)? please put the answer on slope intercept form.​

Answers

Answer: Answer and explanation in picture

Step-by-step explanation:

what is the answer to this?

Answers

the two triangles are not similar.

pls help I really need this

Answers

Answer:

Rocks

Explanation:

I'm quite sure scientists have looked at rock mass to determine Earth's crusts.

PLEASE PLEASE PLEASE HELP ME!!!!!! Determine whether the points (–2,3) and (0,–1) are in the solution set of the system of inequalities below. y > –x – 2 y < –5x + 2.

options

A)

Both points are in the solution set.

B)

Neither of the points is in the solution set.

C)

The point (–2,3) is not in the solution set, and the point (0,–1) is in the solution set.

D)

The point (–2,3) is in the solution set, and the point (0,–1) is not in the solution set.

Answers

The answer is D 0,-1 is not a solution to the second inequality

Answer: the answer is A.

Step-by-step explanation:

I took the test

Simplify the following square root:
240
O 1615
O The square root cannot be simplified.
0 4/15

Answers

i don’t think this exact answer is there

The distance between P and T on the coordinate grid is units. (Input whole numbers only.)​

Answers

Answer:ummm do you have a picture of the question?

Step-by-step explanation:

15 – 5(4c – 7) = 50 pls solve C​

Answers

Answer:

c = 0

Step-by-step explanation:

15 – 5(4c – 7) = 50

Expand.

15 - 20c + 35 = 50

Isolate 20c.

-20c = 50-15-35

Evaluate.

-20c = 0

Remove the negative sign.

-20c × (-1) = 0 × (-1)

Two negatives make a positive. Anything multiplied by 0 becomes 0.

20c = 0

Find c.

c = 0 ÷ 20

Evaluate.

c = 0

c = 7/4 is the solution to the equation 15 - 5(4c - 7)

Let's solve the equation step by step:

15 - 5(4c - 7) = 50

First, distribute the -5 to the terms inside the parentheses:

15 - 20c + 35 = 50

Combine like terms:

50 - 20c + 35 = 50

Combine the constant terms:

-20c + 85 = 50

Next, isolate the term with c by subtracting 85 from both sides of the equation:

-20c = 50 - 85

Simplify:

-20c = -35

Finally, divide both sides by -20 to solve for c:

c = (-35) / (-20)

Simplifying the division:

c = 7/4

Therefore, the solution to the equation 15 - 5(4c - 7) = 50 is c = 7/4.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ6

Mr. Simmons buys a car for a total cost of $9,899. He can pay $206 a month but no more. He determines that he will make 49 payments. Explain why he is correct.

Enter the correct answers in the boxes.

Answers

9,899 = 206x
He divided by 206
He got 48.053 and rounded up to 49
My using the equation, we can see that he is correct.

What is the value of the function for x = 2? HELP!

Answers

Answer:

-2

Step-by-step explanation:

Follow you finger 2 marks on the x axis and then move your finger up or down to say the resulting y value

12 is the answer ok have a nice day
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