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nika2105 [10]
3 years ago
10

What is the distributive property to expand the algebraic expression.5(2f - 6g)

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer:

10f-30g

Step-by-step explanation:

we have:

5(2f - 6g)

we apply distributive property:

5(2f - 6g)

5*2f+5*(-6g)

finally we have:

10f-30g

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The sum of the ages of Kristen and Ben is 32. Four years ago Kristen was twice as old as Ben. How old are they both now?
Elan Coil [88]

Let us say that:

K = age of Kristen

B = age of Ben

 

From the problem, we make the equations:

eqtn 1: K + B = 32

eqtn 2: (K – 4) = 2 (B – 4)

 

Simplifying eqtn 2:

K – 4 = 2 B – 8

K = 2 B – 4

 

Plugging in this to eqtn 2:

(2 B – 4) + B = 32

3 B – 4 = 32

3 B = 36

B = 12

 

From eqtn 2:

K = 2 B – 4 = 2 (12) – 4 = 20

 

So Kristen is 20 while Ben is 12.

5 0
3 years ago
In a poultry farm, 50 hens give 200 eggs in 2 days. In how many days will 20 hens give 400 eggs?.
s344n2d4d5 [400]

The number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.

<h3>What is a fraction?</h3>

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

On a poultry farm, 50 hens give 200 eggs in 2 days.

It is required to find the number of days will 20 hens require to give 400 eggs:

Let x be the number of days:

(50×2)/200 = (20x)/400

x = 10

Thus, the number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ4

6 0
1 year ago
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