Linda hiked up the mountain in 1 and 2/3 hours. She hiked down 1/2 the time what fraction did it take her to hike down? How long in minutes did it take her?

a) 5/6 hours

b) 50 minutes

Step-by-step explanation:

Given that she hiked up the mountain in 1 and2/3 hours. Which is the same as 5/3

She hiked down 1/2 the time of hiking up. That is

1/2 × 5/3 = 5/6 hours

How long in minutes did it take her

5/6 × 60 = 5 × 10 = 50 minutes

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value