The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
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To find the percent, we do:
200/740=0.27←Find it in decimal form
0.27×100=27%←Multiply using 100 to find the percentage.
" of " means multiply
1/4 * 3.20/1...and just multiply....(1 * 3.20) / (4 * 1) = 3.20/4 = 0.8
or
1/4 = 0.25.....0.25(3.20) = 0.8
Answer:
45
Step-by-step explanation:
Given
3z² - 6z ← substitute z = 5 into the expression
= 3(5)² - 6(5)
= 3(25) - 30
= 75 - 30
= 45
Answer:
hypotenuse = 10
Step-by-step explanation:
If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.
If not,
a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
10=c
