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3 years ago

Write two equivalent expressions by factoring out two different greatest common factors.

1 answer:

7 0

The two equivalent expressions by factoring out two different greatest common factors are 6(x - 3y + 6) and 3(2x - 6y + 12)

Solution:

Given that, we have to write two equivalent expressions by factoring out two different greatest common factors

Given expression is:

6x - 18y + 36

First find the factors of 6, 18 and 36

The factors of 6 are: 1, 2, 3, 6

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 6

Factor out 6 from given expression

6x - 18y + 36 = 6(x - 3y + 6)

Thus one of equivalent expression is 6(x - 3y + 6)

Second greatest common factor is 3

Factor out 3 from given expression

6x - 18y + 36 = 3(2x - 6y + 12)

Thus another equivalent expression is 3(2x - 6y + 12)

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Kendra has a painting canvas that is 20 inches wide by 37 inches high. She painted a red rose, which covered 50% of the canvas.

uysha [10]

The total area is:
A = (20) * (37)
A = 740 in ^ 2
We can make the following rule of three:
740in ^ 2 -----> 100%
x --------------> 50%
Clearing x we have:
x = (50/100) * (740)
x = 370 in ^ 2
Answer:
the area of the canvas which was covered by the red rose was:
x = 370 in ^ 2

6 0

3 years ago

I need help what is the answer plz

dlinn [17]

Answer:

-2.25

Step-by-step explanation:

Since there are 4 ticks between 2 numbers, we do 1/4 = 0.25

Now we find the value:

-2.25

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3 years ago

Using coupons, you spend $120 grocery shopping. This is 80% of the total retail price of the groceries. How much would you spend

mr Goodwill [35]

Answer: The correct answer is $150.

Step-by-step explanation: If you did not use the coupons while shopping you would have spent $150. The method to calculate this is to divide the amount that you paid by the percentage that you paid.

The formula that you need to use is $120/.8 = $150.

7 0

3 years ago

For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1

Volgvan

We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.

Let us assume t=0 corresponds to year 1980.

Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).

We can to find a linear function passing through these points. Let us first find slope of the linear function:

$m=\frac{y_{2}-y_{1} }{t_{2}-t_{1}} =\frac{47-39.7}{9-3} =\frac{7.3}{6} =\frac{73}{60}$

We can write the required linear function as:

$y-39.7=\frac{73}{60}(t-3)$

Upon simplifying this, we get:

$y=\frac{73}{60}t+\frac{721}{20}$

In order to find per capita consumption in 1995, we need to substitute t=15 in this function.

$y=\frac{73}{60}(15)+\frac{721}{20}=54.3$

Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.

3 0

4 years ago

Find the solution set of the inequality 7x−10≥16.

xenn [34]

×≥ 26/7 is the answer.

hope it helps!

5 0

4 years ago