Jamal hiked on two trails. the first trail was 5 1/3 miles long and the second trail was 1 3/4 times as long as the first trail. how many miles did jamal hike?

Jamal hiked = 44/3 miles

Step-by-step explanation:

Mixed numbers are given in this question which can be changed into fractions by multiplying the denominator by quotient and adding numerator to it.

Given that:

Length of first trail: 5 1/3 = (3*5 + 1)/3 = 16/3 miles

According to given condition:

Length of second trail: 1 3/4 * 16/3 = (4*1+3)/4 * 16/3 = 7/4*16/3

By simplifying:

Length of second trail = 28/3 miles

So the total miles Jamal hiked = 16/3 + 28/3

Jamal hiked = 44/3 miles

i hope it will help you!

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15