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- anonymous

how would you write a=p+p+prt for t

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- anonymous

how would you write a=p+p+prt for t

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- ChrisS

\[t=\frac{a-2p}{pr}\]

- anonymous

she want me to show step by step

- ChrisS

so combine the p's first so you have a=2p+prt
then subtract 2p from both sides to get a-2p=prt
then divde pr from both sides which isolates t and gives the solution in my first post.

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- anonymous

thank you chrisS so i write it like that i sould get a passing grade

- anonymous

i have one more you think you can show me how to write it step by steo

- ChrisS

written out it will look like this
a=p+p+prt
a=2p+prt
a-2p=prt
\[\frac{a-2p}{pr}=t\]

- ChrisS

go ahead

- anonymous

the perimeter of a rectangle is 120 centimeters the length of the rectangleis four less than three times the width. what are the dimensions of the rectangle

- ChrisS

Alright so your perimeter is the sum of the sides or 2 times the length plus two times the width or 2l+2w. You haven't been given either but you've been given a way to define the length in terms of the width.
The length is four less than three times the width or
l=3w-4
You have been given the actual perimeter of the rectangle, so your original formula is
2l+2w=120
Since you've defined l in terms of w, you just plug that formula (3w-4) in for l so you get
2(3w-4)+2w=120
then factor to 2 into the 3w-4
6w-8+2w=120
combine like terms
8w-8=120
then just algebra
8w=128
w=16
then plug 16 into the formula you derived for l
l=3w-4
l=3(16)-4
l=48-4
l=44
so your width is 16 and your length is 44
and to check it, you should get 120 if you add those together and multiply by 2.

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