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nekit [7.7K]
3 years ago
10

Susan makes and sells purses.The purses cost her $12 each to make, she sells them for $25.This Saturday, she is renting a booth

at a craft fair for $60. Write and solve an equation that can be used to find the number of purses Susan must sell to make a profit of $250 at the fair.

Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0

Answer:

Step-by-step explanation:

timama [110]3 years ago
5 0

Answer:  The picture is attached with the answer and the step-by-step explanation of how to get to the answer.

Step-by-step explanation:

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The width of a rectangle is 9 in. shorter than its length. The area of the rectangle is 252 in². What is the length of the recta
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Answer:

the length of the rectangle is, 21 in.

Step-by-step explanation:

Area of the rectangle(A) is given by:

A=lw           .....[1]

where,

l is the length of the rectangle

w is the width of the rectangle.

As per the statement:

The width of a rectangle is 9 in. shorter than its length.

⇒w = l-9

It is also given that:

The area of the rectangle is 252 in².

⇒A = 252  in².

Substitute in [1] we have;

252 = l(l-9)

⇒252 = l^2-9l

⇒l^2-9l -252 = 0

Factorize this equation:

Split the middle term;

⇒l^2-21l+12l-252=0

⇒l(l-21)+12(l-21)=0

⇒(l-21)(l+12)=0

By zero product property we have;

l-21 =0 and l+12 =0

⇒l = 21 and l = -12

Since, length cannot be in negative

⇒l = 21 in.

Therefore, the length of the rectangle is, 21 inches.

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Step-by-step explanation:

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