Question

1.) The volume of a rectangular box is 64 ft3. If the width is 3 times longer than the height, and the length is 9 times longer than the height, find the dimensions of the box. Define your variables then show all work using the equation editor. Write a sentence that explains your answer.
2.)Steve and Tammy leave a campground, hiking on two different trails. Steve heads south and Tammy heads east. By lunchtime they are 8 mi apart. Tammy walked 4 miles more than Steve. Find the distance each person hiked. Use completing the square to find your answer rounded to the nearest tenth of a mile.

Answer 1

Just translate the English to Math:

let the height be x ft
"the width is 3 times longer than the height"
---> width = 3x
"the length is 9 times longer than the height"
-----> length = 9x

Now use the given to form your equation
x(3x)(9x) = 64
27x^3 = 64
take cube root of both sides:
3x = 4
x = 4/3

continue ...

2nd question, clearly a right-angled triangle, thus Pythagoras.

Steve's distance --- x
Tammy's distance -- x+4

x^2 + (x+4)^2 = 8^2
expand and solve the resulting quadratic

What "equation editor" are you talking about ?

Answer 2

i didn't mean to add that sorry

Answer 3

Equation editor is function within blackboard. It allows students to do step by step math problems with equations rather than using the ^2 functions like they would on a calculator. If you see that, all it means is they're probably in an online class or their homework is turned in through blackboard.