Problem 7 Anita jogs at a constant speed of 4 miles per hour. Anita's brother leaves their house 12 minutes after

her, and he catches up to her 24 minutes later. If Anita's brother is also running at a constant rate, what is

his speed, in miles per hour?

6 miles per hour

Step-by-step explanation:

Anita's speed is given as = 4 miles per hour

We are told in the question that:

Anita's brother leaves their house 12 minutes after her, and he catches up to her 24 minutes later.

Hence, total time for Anita's jogging =

12minutes + 24 minutes = 36 minutes

Converting to hour

60 minutes = 1 hour

36 minutes =

Cross Multiply

36/60 hr = 3/5 hr

Since Anita's speed is 4 mph,

The formula for distance = Speed × Time.

The total distance Anita covers when jogging = 4mph × 3/5 hour

= 12/5miles

We are told in the question that:

Anita's brother is also running at a constant rate

Hence

The distance Anita's brother is covering = 12/5 miles as well

The time the brother runs = 24 mins

Convert to hour

60 minutes = 1 hour

24 minutes =

Cross Multiply

24/60 hour = 6/15 hour

Anita's brother's speed =

Distance/time

= 12/5 miles ÷ 6/15 hour

= 12/5 × 15/6

= 6 miles per hour.

Therefore, Anita's brother's speed is 6 miles per hour

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!