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3 years ago

What us the greatest common factor of 27 and 36?

2 answers:

6 0

Hello!

To find the greatest common factor, you must find all the factors of both numbers and see which similar one is the greatest.

27: (1,27) (3,9)
36: (1,36) (2,18) (3,12) (4,9) (6,6)

As you can see the, the greatest common factor is 9.

I hope this helps!

Ann [662]3 years ago

3 0

Hello!

List the factors of each number

27 ⇒ 1, 3, 9, 27
36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are bold. The greatest common factor is 9

GCF ⇒ 9

Hope this helps! :)

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After a 75% reduction, you purchase a new clothes dryer for $200. What was the original price of the clothes dryer?

lesya [120]

Answer:

$800

Step-by-step explanation:

Let the original price be $x.

75% reduction ----- 100% -75%= 25%

25%x= 200

$\frac{25}{100} x = 200 \\ x = 200 \div \frac{25}{100} \\ x = 200 \times \frac{100}{25} \\ x = 800$

Thus, the original price of the clothes dryer is $800.

3 0

3 years ago

Read 2 more answers

On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).

mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

Same slopes
Different y-intercepts

The formula of the slope of a line which passes through points $(x_{1},y_{1})$ and $(x_{1},y_{1})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ $x_{1}$ = -12 , $x_{2}$ = 0

∴ $y_{1}$ = -2 , $y_{2}$ = -4

- Use the formula of the slope above to find the slope of the given line

∵ $m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}$

∴ The slope of the given line is $\frac{-1}{6}$

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = $\frac{-1}{6}$

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

and b is the y-intercept (y when x = 0)

∵ m = $\frac{-1}{6}$ and b = 6

∴ The equation of the parallel line is y = $\frac{-1}{6}$ x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = $\frac{-1}{6}$ (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=x%20%5C6%20-%201%20%3D%20%20x%20%5C4%20%2B%201%20%5C2" id="TexFormula1" title="x \6 - 1 = x \

skelet666 [1.2K]

Answer:

-18

Step-by-step explanation:

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6 0

2 years ago

Randy won 36 out of 54 games of tic tac toe. what percent of the games did he win

Archy [21]

36/54 = x/100

54x = 100 * 36
54x = 3600
x = 3600 ÷ 54
x = 66.666666.... so 66.67

First put it into a proportion and then cross multiply. After that you divide both sides by 54 to get x alone which gives you 66.66666 which is rounded to 66.67

Answer: 66.67%

7 0

3 years ago

Read 2 more answers

The expression 2x + 50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing. What

vova2212 [387]

We let y equal to the elevation above sea level so that the elevation of the rock climber after x minutes of climbing would be:

y = 2x + 50

His initial height can be calculated when x is equal to zero it is when the climber is not yet climbing. Therefore, the rock climber'sinitial height above sea level would be 50 meters.

7 0

3 years ago