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Hitman42 [59]
3 years ago
6

Abby and Andrew are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of

shiny wrapping paper. Abby sold 6 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $104.00. Abby sold 8 rolls of plain wrapping paper and 12 rolls of shiny wrapping paper for a total of $232.00. Find the cost of the shiny wrapping paper.
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

$14 for the shiny wrapping paper

Step-by-step explanation:

6x + 4y = 104

8x + 12y = 232

x=8 y=14

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A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

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We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

  y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

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You may notice this is one of the points listed in part 4, and is also used in question 3.

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4. See attached

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