One-third of Olivia's age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?

Answers

Answer 1

Answer:

Olivia is 9 years old.

Step-by-step explanation:

1/3 of o (Olivia's age) increased by 12, is twice of o minus 3. The equation for this would be 1/3o + 12 = 2o - 3. (The left side could be o/3 as well.)

1/3o + 12 = 2o - 3

Subtract 2o from both sides

-5/3o + 12 = -3

Subtract 12 from both sides

-5/3o = -3 - 12

Subtract 12 from -3 to get -15

-5/3o = -15

Multiply both sides by -3/5, the reciprocal of -5/3

o = -15 (-3/5)

Express -15(-3/5) as a single fraction

o = -15 (-3)/5

Multiply -15 by -3 to get 45

o = 45/5

Divide 45 by 5 to get 9.

o = 9

To make sure this works, substitute 9 for o.

1/3(9) + 12 = 2(9) - 3

3 + 12 = 18 - 3

15 = 15

Both sides match each other, so o equals 9.

Answer 2

Olivia is 9 years old

Let the age of olivia be "x"

One-third of Olivia's age is expressed as 1/3x

If it is increased by 12, the expression becomes 1/3 x  + 12

Twice her age decreased by 3 is expressed as 2x - 3

Equate both expressions and find x

1/3x + 12 = 2x - 3

1/3x - 2x = -3-12

(x-6x)/3 = -15

-5x = -45

x = 9

Hence Olivia is 9 years old

Learn more on equations here; https://brainly.com/question/2972832


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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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hope this helps

The length of radius is 7.81 unit.

What is Distance Formula?

The distance between two points P(a, b)a nd Q(c, d) is

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Active
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The average person's speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be
used to convert this speed to meters per hour?
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1 meter
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1,000 kilometers
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Sue

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Answer:
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Step-by-step explanation:
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Answers

Answer:

x ≥ -64

Step-by-step explanation:

"3/4ths of a number is greater than or equal to -48"

3/4 of a number ≥ -48

Let's say the number is x.

(3/4)x ≥ -48

Multiply both sides by 4.

3x ≥ -192

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PLEASE ASNWER
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-(33)2

Answers

Answer: -66

Step-by-step explanation:

-66           .. rj56ycs46ywd6cyh65whv57hvw75hy7vj

Hello? Someone please help me with this.

Answers

Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer

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Answers

Answer:

No trend

Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

2x3=6

4x5=20

6x7=42

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6+20+42+72= 140

6+20=26

26+42=68

68+72= 140

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Answer:

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Step-by-step explanation:

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Answers

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1/2

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it will take her 6/8 days

Step-by-step explanation:

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Step-by-step explanation:

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A: 10 in
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D: 31.4 in

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Answer:

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Step-by-step explanation:

Answer:

A

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10 inches is the answer.

A

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Answers

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Answers

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4)
The 8th grade students at two middle schools are raising money by washing cars.
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Answers

Answer:

B is the only answer

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Answers

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Below

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Please help me if u know

Answers

Lol I’m lookin for the same answer
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