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uranmaximum [27]
3 years ago
7

Apply the distributive property and the greatest common factor to write an equivalent expression.

Mathematics
1 answer:
amid [387]3 years ago
5 0
Here, Your Original expression is 60x - 24.

Take 12 as common, which is GCD of 24 & 60, 

Therefore, It would be: 

60x - 24
= 12 * 5x - 12 * 2
= 12 (5x - 2)

In short, your Answer would be 12(5x - 2)

Hope this helps!

Photon
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Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?
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Answer:

4

Step-by-step explanation:

The diagonals are equal length:

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8 0
3 years ago
The ratio of boys to girls in Jamal's class is 3:2. If four more girls join the class, there will be the same number of boys and
olchik [2.2K]

Answer:

12 boys

Step-by-step explanation:

From the above question:

Number of boys = 3

Number of girls = 2

Boys: Girls

3:2

Let :

a = boys

b = girls

Hence, a : b = 3 : 2

a/b = 3/2  

Cross Multiply

2a = 3b .......... Equation 1

a = 3b/2

If four more girls join the class, there will be the same number of boys and girls

Hence,

a: b + 4 = 3 : 3

a/b + 4 = 3/3

Cross Multiply

3a = 3(b + 4)

3a = 3b + 12 ........ Equation (2)

From Equation 1: a = 3b/2

Substitute 3b/2 for a in Equation 2 we have:

3a = 3b + 12 .........Equation 2

3(3b/2) = 3b + 12

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Cross Multiply

9b = 2(3b + 12)

9b= 6b + 24

9b - 6b = 24

3b = 24

b = 8

Substitute 8 for b in Equation 1

a = 3b/2

a = 3 × 8/2

a = 24/2

a = 12

Therefore, the number of boys in the class is 12

7 0
2 years ago
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