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Jobisdone [24]
3 years ago
15

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0
Alright, let's answer this -

Half of 48 is 24... 

Half of 24 is 12...

12 three times is 36...

36 + 12 is equal to 48. =)
adoni [48]3 years ago
3 0
H = Harvey
j = Jane

Harvey is 3 times as old as Jane = 3 times j

<span>The sum of their ages is 48 years.

sum = addition
 
The keyword is means use a equal sign so..

h + j = 48

h = 3 times j

3j + j = 48
4j = 48
4j / 4 = 48 /4 
j = 12

j = 12

Now lets find for Harvey. Harvey = 3 times j

Harvey = 3j = 3 times 12 = 36

Jane = 12
Harvey = 36

</span>
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Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls n
Brrunno [24]

Answer:

Cheryl's age = x = 7 years

Rita's age = y = 17 years

Step-by-step explanation:

Let

Cheryl's age = x

Rita's age = y

Two years ago, Rita was three times older than Cheryl

(y - 2) = 3(x - 2)

y - 2 = 3x - 6

y = 3x - 6 + 2

= 3x - 4

y = 3x - 4

In 3 years, Rita will be twice older than Cheryl

(y + 3) = 2(x + 3)

y + 3 = 2x + 6

y = 2x + 6 - 3

= 2x + 3

y = 2x + 3

Equate both equations

3x - 4 = 2x + 3

Collect like terms

3x - 2x = 3 + 4

x = 7 years

Substitute x = 7 into

y = 2x + 3

= 2(7) + 3

= 14 + 3

= 17

y = 17 years

Cheryl's age = x = 7 years

Rita's age = y = 17 years

5 0
3 years ago
Use the Pythagorean theorem to solve for x
Andre45 [30]

Answer: 15

Step-by-step explanation:

12^2 + 9^2 = 225

square root of 225 = 15

5 0
3 years ago
For these similar triangles, find the value of x.
const2013 [10]
The value of 'x' is 8.
5 0
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Read 2 more answers
Solve the system by substitution<br> -4.5x-2y=-12.5<br> 3.25x-y=-0.75
gogolik [260]

Answer:

The answer to your question is: x = 1, y = 4

Step-by-step explanation:

I'll change decimals to fractions

4.5 = 9/2

12.5 = 25/2

3.25 = 13/4

0.75 = 3/4

                             -9/2 x - 2 y = - 25/2         (I)

                             13/4 x  -   y  = - 3/4            (ll)

Process

               from (II)     y = 13/4x  + 3/4

Sunstitution             -9/2x -2(13/4 x + 3/4) = - 25/2

                               -9/2 x - 13/2 x - 3/2 = -25/2

Multiply by 2         -9 x - 13 x - 3 = -25

                             -22 x = -25  + 3

                            -22 x = -22

                             x = 22/22

                            x = 1

                             y = 13/4 (1) + 3/4

                             y = 16/4

                             y = 4                                          

7 0
3 years ago
AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than
Nadusha1986 [10]

Answer:

0.8 million

Step-by-step explanation:

0.8 million because the first movie made 1.8 mill iou on and the question is asking how much more the first one made than the second one.

8 0
3 years ago
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