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Maurinko [17]
4 years ago
5

Reduce each of the following fractions to its simplest form.

Mathematics
2 answers:
Anna35 [415]4 years ago
8 0

For this case we must simplify the following expressions:

Option A:

\frac {12} {18} = \frac {6} {9} = \frac {2} {3}

We divide numerator and denominator by 2 and then by 3.

Option B:

\frac {48} {54} = \frac {24} {27} = \frac {8} {9}

We divide numerator and denominator by 2 and then by 3.

Option C:

\frac {27} {90} = \frac {9} {30} = \frac {3} {10}

We divide numerator and denominator by 3 and then by 3 again.

Option D:

\frac {63} {77} = \frac {9} {11}

We divide numerator and denominator by 7.

Option E:

\frac {24} {32} = \frac {12} {16} = \frac {6} {8} = \frac {3} {4}

We divide numerator and denominator three times by 2.

Option F:

\frac {73} {365} = \frac {1} {5}

We divide numerator and denominator by 73.

Answer:

\frac {2} {3}\\\frac {8} {9}\\\frac {3} {10}\\\frac {9} {11}\\\frac {3} {4}\\\frac {1} {5}

Hatshy [7]4 years ago
7 0
A. 2/3
B. 8/9
C. 3/10
D. 9/11
E. 3/4
F. 1/5
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defon

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: V = \pi r^{2} h

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches (in^3).
You're given diameter, so use equation d/2  = r to find radius.
Substituting these equations will give you: V = \pi (d/2)^2 h
However, the given volume of the sink is 3000\pi, meaning that you should modify your results to match this value. Do not substitute \pi for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 \pi
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
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Note the the \pi will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

5 0
3 years ago
10 x __= 5/6 + 5/6 Solve.
yuradex [85]

Answer:

let \: that \: number \: be \: m \\ 10 \times m =  \frac{5}{6}  +  \frac{5}{6}  \\ 10m =  \frac{10}{6}  \\ m =  \frac{10}{60}  \\ m =  \frac{1}{6}

6 0
3 years ago
7 3/4% Write each percent as a fraction in simplest form
BlackZzzverrR [31]

Answer:

I think the answer is 7.75/100

7 0
3 years ago
Not sure how to solve this
Hoochie [10]

Answer:

  (x, y) = (0, -14), (2, -8), (3, -5)

Step-by-step explanation:

Put the given values into the equation and solve.

<u>x = 0</u>

  y = 3·0 -14 = -14

<u>y = -8</u>

  -8 = 3x -14

  6 = 3x . . . . . . add 14

  2 = x . . . . . . . divide by 3

<u>x = 3</u>

  y = 3·3 -14 = -5

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The ordered pairs in your table are ...

  (x, y) = (0, -14), (2, -8), (3, -5)

_____

<em>Comment on the approach</em>

In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.

3 0
4 years ago
Read 2 more answers
Can someone plz help me with this!!!
zalisa [80]

Answer:

100

Step-by-step explanation:

an isosceles triangle is equal so if one side is 100 degrees, the other side is too

8 0
3 years ago
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