Area = perimeter + 132.
Let each side of the city be x miles long, then:-
x^2 = 4x + 132
x^2 - 4x - 132 = 0
x = [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2
x = 13.66, -9.66 We ignore the negative
So the city has dimension of 13.66 * 13.66
13.7 * 13.7 to nearest 10th
The simplified expression of 32/5 x 3(-7/5) is -672/25
<h3>How to simplify the expression?</h3>
The mathematical expression is given as:
32/5 x 3(-7/5)
Evaluate the product of 3 and -7/5
32/5 x 3(-7/5) = 32/5 x -21/5
Evaluate the product of 32 and -21
32/5 x 3(-7/5) = 672/5 x -1/5
Evaluate the product of 5 and 5
32/5 x 3(-7/5) = 672/25 x -1
So, we have:
32/5 x 3(-7/5) = -672/25
Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25
Read more about expressions at:
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Answer:
148 in³
Step-by-step explanation:
The equation for the volume of a cube is 
Here, 
.
So, the volume of each cube is 
in.
The prism is filled completely with 3996 of these cubes.
The volume of the prism is 148 in³.
It’s the 400 voters surveyed
Hey there!
For this problem, I believe that they're saying that a number divided by –2/3 is equal to –9/10.
We can tell immediately that the mystery number is a positive number, since two negative numbers being divided by one another will give you a positive quotient.
For actually solving the problem, you can refer to what you learned (presumably) a while ago about number families:
9 / 3 = 3
3 * 3 = 9
Using that, you can assume the following will get you your mystery number:
x / –2/3 = –9/10
–9/10 * –2/3 = x
For multiplying fractions, all you need to do is multiply the numerators and the denominators together. The denominator doesn't have to be the same on both fractions.
(–9/10) * (–2/3) = 18/30 = 9/15
To check, all you have to do is remember the original problem:
(9/15) / (–2/3) =
(9/15) * (–3/2) = –27/30 = –9/10
When multiplying fractions, remember that the negative applies to both the denominator and numerator. Also, when dividing fractions, you will multiply the (untouched) first fraction by the second fraction with the numerator and denominator, aka the reciprocal.
Hope this helped you out! :-)
