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aleksley [76]
3 years ago
9

Ben and Joel are raising money for their class trip by selling wrapping paper. Ben raised $43.50 by selling 12 rolls of solid pa

per and 9 rolls of printed paper. Joel raised $51.50 by selling 8 rolls of solid paper and 15 rolls of printed paper. Find the cost of each type of wrapping paper. PLEASE HELP QUICK!!
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

Step-by-step explanation:

Solid paper costs 1.75 each

Printed paper costs 2.50 each

Given:

Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper)

Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper)

Let x = solid paper

Let y = printed paper

12x + 9y = 43.50

 8x + 15y = 51.50

Find x:

8x + 15y = 51.50

8x = 51.50 - 15y

x = (51.50 - 15y)/8

Substitute x:

12x + 9y = 43.50

12(51.50 - 15y)/8 + 9y = 43.50

(618 - 180y)/8 + 9y = 43.50

8 (618 - 180y)/8 + 8*9y = 43.50 * 8

618 - 180y + 72y = 348

-108y = 348 - 618

-108y = -270

-108y/-108 = -270/-108

y = 2.50

x = (51.50 - 15y)/8

x = (51.50 - 15(2.5) /8

x = (51.50 - 37.50)/8

x = 14/8

x = 1.75

To check: x = 1.75 ; y = 2.5

12x + 9y = 43.50

12(1.75) + 9(2.5) = 43.50

21 + 22.50 = 43.50

43.50 = 43.50

8x + 15y = 51.50

8(1.75) + 15(2.5) = 51.50

14 + 37.50 = 51.50

51.50 = 51.50

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VladimirAG [237]
The top answer is correct.
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The radius,r , of a sphere is 4 . 3m Calculate the sphere's volume,v . Use the value 3.14 for sqaure, and round your answer to t
kotykmax [81]

Answer:

V(s) = 332,9 m³

Step-by-step explanation:

The volume of a sphere is:

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Rounding the answer to the nearest tenth

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yanalaym [24]

Answer:

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Completing the square

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Step-by-step explanation:

Assuming the following expression:

x^2 +4x +3

Factoring

For this case we want to find two values that added would be 4 and multiplied would be 3. On this case these two values are 3 and 1 because 3+1=4 and 3*1 =3. So then we can factor the expression like this:

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Completing the square

For this case if we want to complete the square we need to do this:

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And if we simplify this we got:

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(x+2)^2 +(-1) = (x+2)^2 -1

For this case seems more complicated the option completing the square because we need to do more operations and we need to know algebra. By the other hand for the Factoring case we just need to find two numbers that satisfy the conditions required.

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