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labwork [276]
3 years ago
15

A road crew must repave a road that is 2/5 miles long.They can repave 1/30 miles each hour. How long will it take the crew to re

pave the road
Mathematics
1 answer:
Tamiku [17]3 years ago
4 0

2/5= 12/30

The road is 12/30 miles long, they pave 1/30 each hour

60x12= 720 minutes= 12 hours

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Answer:  The answers are given below.

Step-by-step explanation:  We are given to factorise some quadratic expressions.

We will be using the following factorisation formula:

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We have

(1)~3ab-5ax+9b-15x\\\\=a(3b-5x)+3(3b-5x)\\\\=(3b-5x)(a+3).

Thus, option (B) (3b-5x)(a+3) is correct.

(2)~5x(x+3)+6(x+3)\\\\=(x+3)(5x+6).

Thus, option (B) (x+3)(5x+6) is correct.

(3)~2cb+7cx+2b+7x\\\\=c(2b+7x)+1(2b+7x)\\\\=(2b+7x)(c+1).

Thus, option (B) (2b+7x)(c+1) is correct

(4)~21x^3+35x^2+9x+15\\\\=7x^2(3x+5)+3(3x+5)\\\\=(3x+5)(7x^2+3).

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(5)~9xy+36x-10y-40\\\\=9x(y+4)-10(y+4)=(y+4)(9x-10).

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(6)~14bx^2-7x^3-4b+2x\\\\=7x^2(2b-x)-2(2b-x)\\\\=(2b-x)(7x^2-2).

Thus, option (B) (2b-x)(7x^2-2) is the correct option.

(7)~4xy+9x+24y+54\\\\=x(4y+9)+6(4y+9)\\\\=(4y+9)(x+6).

Thus, option (D) (4y+9)(x+6)  is correct.

4 0
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