A quotient is the result of a division.
Let the unknown number be x.
We translate the problem into an equation, piece by piece.
<span>"quotient of a number and seven" ----> x/7
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<span>"12 less than the quotient of a number and seven" ----> x/7 - 12
The word "is" means "="
x/7 - 12 =
All the above is -2, so it equals -2.
x/7 - 12 = -2
First, add 12 to both sides and simplify.
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Next, multiply both sides by 7.
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Answer: The number is 70.
The percent increase in enrollment is 6 %
The operation used in first step is finding the difference between final value and initial value
<h3><u>Solution:</u></h3>
Given that This year, 1,272 students enrolled in night courses a a local college
Last year only 1,200 students enrolled.
To find: percent increase in the enrollment
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
<em><u>The percent increase is given as:</u></em>
Here initial value (last year) = 1200 and final value(this year) = 1272
Substituting the values in above formula,
Thus percent increase is 6 %
Since it is a square that means each side is equal.
The perimeter is 24, and since there is four sides we would divide it by four to find the length of each side.
24/4 = 6
Each side is 6.
By looking at the picture, one side of the square, is the length of the radius.
The radius of the square is 6.
The only thing left to do is to find the circumference.
The circumference formulas are:
C =
d
C = 2
r
We can use the first one Diameter x pi (3.14)
To find the diameter we would just multiply the radius by two.
6 x 2 = 12
Diameter = 12
So multiply it by pi
12 x 3.14 = 37.68
or D 12
Answer: $102 per month
Step-by-step explanation:
15% off $120 means $120-(.15*$120) which is 120-18=$102. The .15 is the 15%, and 15% of 120 would be the whole multiplication.