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madreJ [45]
3 years ago
6

Use the FOIL Method to find (q−3/4)(q+1/4).

Mathematics
1 answer:
kolezko [41]3 years ago
7 0

(q - 3/4)(q + 1/4)

First - q x q = q^2 ( q squared)

Outer - q x 1/4 = 1/4q

Inner - 3/4 x q = - 3/4q

Last - -3/4 x 1/4 = - 3/16

Add all in that order, combine like terms if necessary.

q^2 - 2/4q - 3/16

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Find the surface area of the prism.
Leto [7]

SA = (2 x 3 x 10) + (2 x 3 x 12) + (12 x 10 x 2)

SA = 60 + 72 + 240

SA = 372

So, the surface area of the prism is 372 in².

5 0
3 years ago
If Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book. If he reads 24 pages
JulijaS [17]

Answer:

Total number of pages is 540.

Step-by-step explanation:

Let mark read x be he number of pages per day and d be the number of days to finish the book.

Total number of pages = xd

Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.

(x-18)(d+5)=xd

xd+5x-18d-90=xd

5x-18d=90            .... (1)

He reads 24 pages less per day, he will need 8 extra days to finish.

(x-24)(d+8)=xd

xd+8x-24d-192=xd

8x-24d=192

x-3d=24       ... (2)

Subtract 5 times of equation (2) from equation (1).

5x-18d-5(x-3d)=90-5(24)

5x-18d-5x+15d=90-120

-3d=-30

d=10

Substitute d=10 in equation (1).

5x-18(10)=90  

5x-180=90  

5x=90+180

5x=270

Divide both sides by 5.

x=54

Total number of pages

xd=(54)(10)=540

Therefore , the total number of pages is 540.

3 0
3 years ago
Kevin has $25 . MP3 downloads cost $0.75 each . How many songs can he download and still have $13 left to spend
Trava [24]

He can download at most 16 songs to leave $13 for himself to spend.

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Answer:

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First x(x)=x^2

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Inner 6(x)=6x

Last 6(2)=12

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8 0
3 years ago
A large interquartile range shows the data is
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