Felecia's husband will catch up to her 1 hour 30 minutes after leaving.
Step-by-step explanation:
Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.
Head start = 
× 45 miles an hour = 15 miles.
So Felecia got a head start of 15 miles.
Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.
Total gap initially = 15 miles.
The rate at which gap is being closed = 10 miles an hour.
Time to close the gap = 15 / 10 = 1.5 hours.
Answer:
$13.20/hr
Step-by-step explanation:
A 10% wage increase would amount to 0.10($12) = $1.20. Adding this increase to the starting rate $12/hr results in $13.20/ hr.
A faster way in which to do this is shown below:
Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr
Area of a rectangle is length times width. Area of a triangle is one-half base times height. Now just plug in everything we know and set the equations equal to each other.
(6)(8) = 0.5(8)(h)
Solve for height
48 = 4h
h = 12 m
From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360.
measure of angle ACB = (24/60)(360)
measure of angle ACB = 144°
Thus, the angle measure 144°.
Hi There!
Answer:
$24
Step-by-step explanation:
= 1/4 + 1/3
= 3/12 + 4/12
= 7/12
7/12a + 8 = 22
Subtract 8 to both sides of the equation.
7/12a + 8 - 8 = 22 - 8
Simplify
7/12a = 14
Switch
a = 12/7 * 14
Simplify
a = $24
Hope This Helps :)
