3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8

7/8 * 60 mins = 52.50 minutes

t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.

3 0

3 years ago

Read 2 more answers

Explain how to evaluate simplify and convert to radical form (x^3/8)^3/4

Vaselesa [24]

Answer:

$(x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}$

Step-by-step explanation:

Given

$(x^\frac{3}{8})^\frac{3}{4}$

Required

Convert to radical form

$(x^\frac{3}{8})^\frac{3}{4}$

Evaluate the exponents

$(x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}$

$(x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}$

Split the exponent

$(x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}$

Apply the following law of indices

$(x^a)^\frac{1}{b} = \sqrt[b]{x^a}$

So, we have:

$(x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}$

3 0

2 years ago