Is 1/8 - 10 (3/4-3/8x) + 5/8x equivalent to -1/8(59-35x)explain your answer.

Yes!

Step-by-step explanation:

Lets start with 1/8 - 10 (3/4-3/8x) + 5/8x and try to simplify it:

1/8 - 10 (3/4-3/8x) + 5/8 x = ?

Apply distributive and multiply the inside terms by 10 that is outside the parenthesis:

1/8 - [10*(3/4) - 10(3/8)x] +5/8 x = 1/8 - [30/4 - 30/8 x] +5/8 x

We can now drop the parenthesis:

1/8 - 30/4 + 30/8 x +5/8 x =

Now we put together terms with and without x:

[ 1/8 - 30/4] + [30/8 x + 5/8 x] =

Multiply and divide the 30/4 term by 2 to make an 8 appear in the denominator:

[1/8 - 2*(30)/2*(4)] + [30/8 x  + 5/8 x] =

[1/8 - 60/8] + [30/8 x + 5/8 x] = -59/8 + 30/8 x + 5/8 x  = -59/8 + 35/8 x

Taking -1/8 as common factor in both terms:

= -1/8 [ -59 - 35 x]

So, we can confirm that:

1/8 - 10 (3/4-3/8x) + 5/8 x = -1/8 [ -59 - 35 x]

YES, the terms are equivalent!

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

what is the original number? you forgot to add it.