## anonymous 4 years ago how would you write a=p+p+prt for t

1. ChrisS

$t=\frac{a-2p}{pr}$

2. anonymous

she want me to show step by step

3. 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.

4. anonymous

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

5. anonymous

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

6. ChrisS

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

7. ChrisS

8. 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

9. 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.