Answer:
13.7 mph
Step-by-step explanation:
• d = st
Given:
- d = 32 miles
- t = 2 1/3 hr = 7/3 hr
Find the rate s:
- s = d/t
- s = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)
Answer:
The amount Trevor's family pay per minute on shower water is $0.005.
Step-by-step explanation:
The cost of water is,
Cost = $0.20/liter
Amount of water used over the entire month:
Amount of water used = 72 liters
Compute the total water cost as follows:
Total water cost = Amount of water used × Cost
= 72 × 0.20
= $14.4/liter
The average number of minutes each person showered is:
Average number of minutes = 480 minutes.
The number of people in Trevor's house:
N = 6
Compute the total amount of time the 6 person showered as follows:
Total amount of time = Average number of minutes × N
= 480 × 6
= 2880 minutes
Compute the pay per minute on shower water as follows:
Pay per minute on water = Total water cost ÷ Total amount of time
= $14.4 ÷ 2880
= $0.005
Thus, the amount Trevor's family pay per minute on shower water is $0.005.
Factor out the common term; 3
(3(x + 1))^2 = 36
Use the Multiplication Distributive Property; (xy)^a = x^ay^a
3^2(x + 1)^2 = 36
Simplify 3^2 to 9
9(x + 1)^2 = 36
Divide both sides by 9
(x + 1)^2 = 36/9
Simplify 36/9 to 4
(x + 1)^2 = 4
Take the square root of both sides
x + 1 = √4
Since 2 * 2 = 4, the square root of 2 is 2
x + 1 = 2
Break down the problem into these 2 equations
x + 1 = 2
x + 1 = -2
Solve the first equation; x + 1 = 2
x = 1
Solve the second equation; x + 1 = -2
x = -3
Collect all solutions;
<u>x = 1, -3</u>
When dividing by a negative the sign changes to the opposite.
Answer
-i sqrt 37
Step-by-step explanation:
