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Kruka [31]
3 years ago
11

Eduardo and Sarawong are selling wrapping paper for a school fundraiser. Eduardo sold 5 rolls of plain wrapping paper and 5 roll

s of holiday wrapping paper for a total of $185. Sarawong sold 14 rolls of plain and 5 rolls of holiday for a total of $338. Find the cost per roll of plain wrapping paper and 5 rolls of holiday wrapping paper.
Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Answer: A roll of plain wrapping paper costs $17, while a roll of holiday wrapping paper costs $20.

Step-by-step explanation: First let us represent a roll of plain wrapping paper with letter p and a roll of holiday wrapping paper would be represented by d. If Eduardo sold 5 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $185, then we can express this as

5p+ 5d= 185

Also if Sarawong sold 14 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $338, then this too can be expressed as

14p + 5d = 338

Now we have a pair of simultaneous equations which are,

5p + 5d = 185 ———(1)

14p + 5d = 338 ———(2)

Since all the variables have coefficients greater than 1, we shall use the elimination method. Note that the coefficients of the d variable are both 5, so straight away we subtract equation (1) from equation (2) and we now have;

(14p - 5p) + (5d - 5d) = 338 - 185

9p = 153

Divide both sides of the equation by 9

p = 17

Having calculated p, we can now substitute for the value of p into equation (1)

5p + 5d = 185

5(17) + 5d = 185

85 + 5d = 185

Subtract 85 from both sides of the equation

5d = 100

Divide both sides of the equation by 5

d = 20

Hence, the cost per roll of plain wrapping paper is $17, while the cost per roll of holiday wrapping paper is $20.

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saveliy_v [14]

Answer:

1st Picture: d = -16

2nd Picture: g = -13.8

Step-by-step explanation:

1st Picture: Divide both sides by -11 to balance both sides and get the answer.

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8 0
2 years ago
Read 2 more answers
If the total sticker price on a new car is $42,055 and you have to pay 7% sales tax, how much will you have to pay for the vehic
tresset_1 [31]

Answer:

$44,998.85

Step-by-step explanation:

Price of the car = $42,055

Tax = 7%

Total cost = Price of the car + amount of tax

= 42,055 + 7% of 42,055

= 42,055 + 7/100 * 42,055

= 42,055 + 0.07 * 42,055

= 42,055 + 2,943.85

= 44,998.85

Total cost = $44,998.85

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3 years ago
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Sergio [31]

Answer:

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5 0
2 years ago
Sasha needs to write a division expression for the fraction 9/14 . She is not sure which number goes where. Help Sasha understan
Rasek [7]

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GIven the function f(x) = 3x +1: (A) Find the inverse of f^-1(x). (B) Find f^-1(6)
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To find the inverse, you need to switch the f(x) and x in the equation. Then you can solve for the new f(x). The result will be the inverse (f-1)

f(x) = 3x + 1 ----> Switch f(x) and x

x = 3f(x) + 1 ----> Subtract 1

x - 1 = 3f(x) ----> Divide by 3.

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Now that we have the inverse, we can plug 6 in to get the value at f-1(6).

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