Answer:
x = 87/28
Step-by-step explanation:
Use this rule: <em>(x^a)^b = x^ab</em>
3(x + 2)^3/5 + 2 = 27
Subtract 3 from both sides
3(x + 2)^3/5 = 27 - 3
Simplify 27 - 3 to 24
3(x + 2)^3/5 = 24
Divide both sides by 3
(x + 2)^3/5 = 24/3
Simplify 24/3 to 8
(x + 2)^3/5 = 8
Take the cube root of both sides
x + 2 = 3/5√8
Invert and multiply
x + 2 = 8^5/3
Calculate
x + 2 = 2^5
Simplify 2^5 to 32
x + 2 = 32
Subtract 2 from both sides
x = 32 - 2
Simplify 32 - 3 to 30
<u>x = 30</u>
After 3 hours, you will be on 450 mile marker.
Step-by-step explanation:
<u>step 1:</u> At start, the number in the mile marker is 100
<u>step 2:</u> After 4 hours, the number in the mile marker is 300
<u>step 3:</u> The difference of 300-100= 200. In 4 hours you crossed 200 mile markers.
<u>step 4:</u> Therefore, for 1 hour you can cross= 200/4= 50 mile markers.
For 3 hours, the number of mile markers crossed= 3*50= 150 mile markers.
<u>step 5:</u> After 3 hours, the number in the mile marker will be= 300+150= 450