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Kobotan [32]
3 years ago
11

Can someone help? ( I need it by 10/20)

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0
<h3>Answer:  x = 12</h3>

=====================================================

Explanation:

C is the midpoint of AB. This means AC is half as long as AB

Put another way, AB is twice as long as AC

AB = 2*AC

AB = 2*( AC )

32 = 2*( x/2 + 10 )  .... substitution

32 = 2*(x/2) + 2*10 ... distribute

32 = x + 20

x+20 = 32

x = 32-20 .... subtract 20 from both sides

x = 12

---------

If x = 12, then

AC = x/2 + 10

AC = 12/2 + 10

AC = 6+10

AC = 16

which is half of AB = 32, so it confirms our answer.

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Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

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Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

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D=5.5

Therefore, Robert's dog is 5.5 years old right now.

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3 years ago
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