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Tresset [83]
3 years ago
12

Two friends visited a taffy shop. Annie bought 9 pounds of strawberry taffy and 10 pounds of banana taffy for $103. Next, Rob bo

ught 9 pounds of strawberry taffy and 9 pounds of banana taffy for $99. How much does the candy cost?
Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

If we say s is the cost per pound of strawberry and b is banana.

For Annie we have 9s + 10b = 103.

For Rob we have 9s + 9b = 99.

If you notice the only thing that changes on the left hand sides is a single b. This causes a change of 4 on the right hand side. From this we can see that b = 4. Substituting b=4 in Annie's line we get 9s + 40 = 103 so 9s = 63 so s = 7.

Strawberry costs $7 per pound and banana costs $4 per pound

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A small business produces and sells balls. The fixed costs are $20 and each ball costs $4.32 to produce. Each ball sells for $8.
Gemiola [76]

Part 1:

Fixed Cost, f = $20

number of balls = n

Cost of each ball, c = 4.32

Price of each ball, p = 8.32

Equation for total cost:

Total Cost of balls will come by adding the cost of all balls and the fixed cost

Total Cost = number of balls made × Cost of each ball + fixed cost

<em>C = 4.32n + 20</em>

Equation for revenue:

Revenue  = Number of balls made × price of each ball

<em>R =  8.32n </em>

Part 2:

Use the graphing method to determine how many balls must be sold to break even

Breakeven means Revenue =  total Cost

This happens at a point (5,41.6) where n = 5 is the number of balls sold

and C = 41.6 is the total cost

When 5 balls are sold there will be breakeven

R = 4n - 20  

C = 4.32n + 20

Red line represent Cost

Black line represent Revenue

5 0
4 years ago
( 2 x -6 ) +4 ( x - 3 )
OLga [1]
(2x-6) + 4(x-3) {distribute 4 out and expand problem}
2x+6+4x-12 {combine like terms}
6x-6 {your answer}
3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="
ANEK [815]

The formule is about area of a circle.

\pi x^{2} = a

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

\frac{\pi x^2}\pi}=\frac{a}{\pi}

x^2=\frac{a}{\pi}

Taking square root on both sides, we get

\sqrt{x^2}=\sqrt{\frac{a}{\pi}}

x=\sqrt{\frac{a}{\pi}}


4 0
3 years ago
The drivers at Pizza Palace were loading up their 3 delivery vans for the evening. There were 65 pizzas. The boss told them to p
Lana71 [14]
65/3=21 with 2 leftover

(2/3)/3 or 2/3•1/3 = 2/9

so either they didn’t get to share or each got 2/9 of the leftovers
3 0
3 years ago
BRAINLIESTT ASAP! PLEASE HELP ME :)
alukav5142 [94]

Answer:

216 min

3 hours and 36 min or 3.6 hours

Step-by-step explanation:

1/9+1/6

6+9/54

15/54

5/18

18/5

60*18/5

1080/5

/= fraction sign

3.6 hours

Step-by-step explanation:

Blake can do work in hours = 9

Blake can do a part of work in 1 hour = 1/9

Ned can paint the same room in six hours.

Ned can do a part of work in 1 hour = 1/6

They can do a part of work together in 1 hour =  1/9+1/6

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Now they can do 5/18}  part of work in hour = 1

So, they can do whole work in hours =  1/5/18

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Hence it will take 3.6 hours to paint the room if they work together.

7 0
3 years ago
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