Answer:
3, 7
Step-by-step explanation:
Before you start working on this problem, make sure you know
how to use a couple of the tools in your toolbox:
Tool #1: 37-1/2 percent means 0.375
Tool #2: In math problems, "of" almost always means "times".
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Your question says
"37-1/2 percent of blank is 36".
Translate it with your tools:
0.375 times blank = 36 .
Divide each side by 0.375: Blank = 36 / 0.375 .
Now grab your pencil or your calculator, and find the value of that
fraction (do the division). Blank is equal to the value of the fraction.
To check your answer (find out whether it's correct):
Do exactly what the question says.
Multiply (0.375) times (your answer). If you get 36,
then your answer is correct. If not, it's not.
Let the hours Kade worked = X
Theo would be X - 3 ( 3 less than Kade).
Now you have:
X + X -3 = 27
Combine like terms:
2x - 3 = 27
Add 3 to each side:
2x = 30
Divide both sides by 2:
x = 15
Kade worked 15 hours.
Theo worked 12 hours.
Those two angles are complementary - which means they both give us 90
degrees. We know that all three angles in any triangle must be exactly
180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means
that our triangle is a straight triangle. The figure will look more less like in the attachment.
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As a general rule, a percentage can be converted to a decimal fraction by dividing the given percentage by 100%.
63 1/3% is equivalent to 190/3% . Dividing this by 100%, we get 190/300, or 19/30.
63 1/3% of 60 is what? To determine this, multiply 60 by 19/30. That comes out to (60)(19)/30, or 2(19), or 38 (answer).
