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Nata [24]
2 years ago
13

Express the ratio as a fraction in simplest form. 15:45 2/3 3/9 1/3 5/16

Mathematics
1 answer:
ankoles [38]2 years ago
3 0

Answer:

3/9

Step-by-step explanation:

15/45

divide both sides by a factor of each number; I'll be using 5.

3/9

It didn't have to be 5, I could have used 3, but in that case It wouldn't have been it's simplest form and I would have to divide again by another factor.

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Y+2=-3(x-4)<br> Find the missing value in the solution to the equation. ( , -2)
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Answer:

(4,-2)

Step-by-step explanation:

plug in and simplify;

y+2=-3(x-4)

-2+2=-3(x-4)

0=-3x+12

3x=12

x=4

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Are the following lines parallel perpendicular or neither y=-5/3x - 5 and y=4/3x - 5​
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Step-by-step explanation:

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A circle has a radius of 7 inches. What is the area of the circle?<br> Mark only one oval
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3 years ago
You want to place a towel bar that is 24 1/4 centimeters long in the center of a door that is 70 1/3 centimeters wide. How far s
Aleksandr [31]

Answer:

The towel bar should be placed at a distance of 23\frac{1}{24}\ cm from each edge of the door.

Step-by-step explanation:

Given:

Length of the towel bar = 24\frac14\ cm

Now given length is in mixed fraction we will convert in fraction.

To Convert mixed fraction into fraction Multiply the whole number part by the fraction's denominator, then Add that to the numerator, then write the result on top of the denominator.

24\frac14\ cm can be Rewritten as \frac{97}{4}\ cm

Length of the towel bar =  \frac{97}{4}\ cm

Length of the door = 70 \frac13\ cm

70 \frac13\ cm can be Rewritten as \frac{211}{3}\ cm

Length of the door = \frac{211}{3}\ cm

We need to find the distance bar should be place at from each edge of the door.

Solution:

Let the distance of bar from each edge of the door be 'x'.

 So as we placed the towel bar in the center of the door it divides into two i.e. '2x'

Now we can say that;

\frac{97}{4}+2x=\frac{211}{3}\\\\2x=\frac{211}{3}-\frac{97}{4}

Now we will take LCM to make the denominators common we get;

2x=\frac{211\times4}{3\times4}-\frac{97\times3}{4\times3}\\\\\\2x= \frac{844}{12}+\frac{281}{12}

Now denominators are common so we will solve the numerators.

2x =\frac{844-291}{12}\\\\2x=\frac{553}{12}\\\\x=\frac{553}{12\times2} =\frac{553}{24}

Or x=23\frac{1}{24}\ cm

Hence The towel bar should be placed at a distance of 23\frac{1}{24}\ cm from each edge of the door.

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