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ololo11 [35]
2 years ago
8

Write an equivalent expression for 25x - 45 using the properties of operations. Hint: find the GCF of 25 and 45. You use parenth

eses and a factor outside
Mathematics
1 answer:
Oksana_A [137]2 years ago
3 0

Answer:

25x - 45 = 5(5x - 9)

Step-by-step explanation:

Find the greatest common factor (GCF) of 25 and 45.

You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:

Factors of 25: 1, 5, 25

Factors of 45: 1, 3, 5, 9, 15, 45

Therefore, 25 and 45 have 2 common factors: 1 and 5

So the greatest common factors is 5

25x - 45 = 5(ax - b)

To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5

To find the value of b, divide 45 by 5: 45 ÷ 5 = 9

25x - 45 = 5(5x - 9)

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Y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
Ksju [112]
In a proportional relationship, x and y will increase at the same rate. In order to find the value of x when y=4, we first have to find the ratio of x:y. We can do this by creating a fraction. After we know the ratio, simply replace the y value with 4 and solve for x. Here's the math:

y=15 when x=3       given values

y/x = 15/3 = 5          ratio of y to x

y=5x                        equation representing the proportional relationship 

4=5x                        replace y with 4

4/5=x                       divide both sides by 5 to isolate x

Answer: The value of x=4/5 when y=4.

Hope this helps!


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