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2 years ago

Factor this expression completely.

Mathematics

1 answer:

Orlov [11]2 years ago

5 0

Answer:

Step-by-step explanation:

5 and 7 are both common factors of 35 and 40

Looking at the options you can eliminate C and D right away because 7 times 8 = 56 and not 40 like the problem is asking.

This leaves A and B. Looking at the equation the difference between the two are the + and -

Using the original equation (35x-40) as reference we see that it subtracts the two variables. Therefore leaving A as the answer

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2 years ago

Read 2 more answers

2 3/4+3 5/8 simplified

otez555 [7]

$2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}$

Solution:

Given expression is $2\frac{3}{4}+3 \frac{5}{8}$ .

To simplify the expression $2\frac{3}{4}+3 \frac{5}{8}.$

Let us first convert the mixed fraction into improper fraction.

$2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}$

$=\frac{8+ 3}{4}+ \frac{24+5}{8}$

$=\frac{11}{4}+ \frac{29}{8}$

Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

$=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}$

$=\frac{22}{8}+ \frac{29}{8}$

$=\frac{51}{8}$

Now, divide 51 by 8 and again write it in the mixed fraction.

$=6\frac{3}{8}$

$2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}$

Hence, the simplified answer is $6\frac{3}{8}$ .

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