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In-s [12.5K]
2 years ago
13

How do I factor an expression using the GCF?

Mathematics
1 answer:
Anni [7]2 years ago
4 0

Answer:

  use the distributive property

Step-by-step explanation:

Use the distributive property to rewrite the expression with the GCF factored out.

<u>Example</u>:

  ab +ac +ad  . . . . has terms with a common factor of 'a'

When the common factor is factored out, the distributive property tells you the equivalent is ...

  = a(b +c +d)

If 'a' is the greatest common factor, then b, c, d are mutually prime and no more factors can be removed to outside the parentheses.

You might be interested in
Please explain the how you got the answers thanks asap
stich3 [128]

Answer:

a) 90 stamps

b) 108 stamps

c) 333 stamps

Step-by-step explanation:

Whenever you have ratios, just treat them like you would a fraction! For example, a ratio of 1:2 can also look like 1/2!

In this context, you have a ratio of 1:1.5 that represents the ratio of Canadian stamps to stamps from the rest of the world. You can set up two fractions and set them equal to each other in order to solve for the unknown number of Canadian stamps. 1/1.5 is representative of Canada/rest of world. So is x/135, because you are solving for the actual number of Canadian stamps and you already know how many stamps you have from the rest of the world. Set 1/1.5 equal to x/135, and solve for x by cross multiplying. You'll end up with 90.

Solve using the same method for the US! This will look like 1.2/1.5 = x/135. Solve for x, and get 108!

Now, simply add all your stamps together: 90 + 108 + 135. This gets you a total of 333 stamps!

5 0
3 years ago
The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There
11Alexandr11 [23.1K]

Answer:

-40 °F = -40 °C

Step-by-step explanation:

(1) F = 1.8 C + 32

If the Fahrenheit and Celsius temperatures are the same, then

(2)        F = C     Substitute (2) into (1)

            C = 1.8C + 32     Subtract 1.8 C from each side

C – 1.8 C = 32                   Combine like terms

    -0.8C = 32                   Divide each side by -0.8

          C = -32/0.8

(3)      C = -40                  Substitute (3) into (1)

         F = 1.8(-40) + 32

         F = -72 + 32

        F = -40

So, -40 °F = -40 °C

The thermometer below shows that -40 °F = -40 °C.

7 0
3 years ago
You have a fox, a chicken, and a bag of chicken feed, and must take them all to the other side of a river. You have a boat but c
deff fn [24]

Step-by-step explanation:

u take the fox over to the other side, then the chicken feed then the chicken.

6 0
3 years ago
What is the first quartile of this data set?
xxMikexx [17]
First we have to find the median

The median is 19 when we cross off all the numbers

Now we have 11 12 15 16 and 17 in the first quartile


Cross 11 and 12 and cross 16 and 17, off which leaves you with 15


Answer is option d

6 0
3 years ago
The quotient of w and 10 is equal to 7
Verdich [7]

Answer:

8

Step-by-step explanation:

6 0
3 years ago
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