The sum of the ages of Gusion and Lesley is 42. Four years ago, Gusion was twice as old as Lesley. Find the present age of each.

Answers

Answer 1

Answer:

Gusion = 2years

Lesley= 40years

Step-by-step explanation:

Let Guison age be x

Let Lesley age be y

If the sum of the ages of Gusion and Lesley is 42, then;

x+ y =42 ... 1

Four years ago

Guison age = x - 4

Lesley age = y - 4

If four years ago, Gusion was twice as old as Lesley, then;

x - 4 = 2(y-4)

x - 4 = 2y - 9

x - 2y = -9+4

x - 2y = -5 .... 2

Substract 1 from 2;

y + 2y = 1+5

3y = 6

y = 2

From 1;

x = 42 - y

x = 42-2

x = 40

Hence present age pf Guison is 2 years

Present age of Lesley is 40 years


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answer:

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Which values are solutions to the inequality below? Check all that apply.
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Answers

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Step-by-step explanation:

Answer:

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What is the measure of angle H?
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Answers

Answer:

A. 80

Step-by-step explanation:

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Answers

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Answers

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Answers

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Answer:

Step-by-step explanation:

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3(-5[tex]y^{2}[/tex] -3)

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if you need more explanation just put your questions at the comments of this problem ... i'll see them   :)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Part AThe graph is attachedPart B

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Answers

Answer:

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Step-by-step explanation:

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Picking Green! This is a game similar to the one you played in class, where you try
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Answer:

the first is a 50% chance

the second is not possible to know

Step-by-step explanation:

prove the indicated operations.
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Answers

Answer:

I hope if one of these help.

Step-by-step explanation:

(4 - 3i) + (2 + i )(5 - 2i)

=16 - 2i

If you simplify your answer will be: 16−2i

1) (3+2i)-(1-6i)

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  15i - 10 ( -1 )

  15i + 10

4) ( 5 + 3i ) ( 2 - 3i )

  10 - 15i + 6i - 9i^2

  10 - 9i - 9i^2

  10 - 9i - 9 ( -1 )

  10 - 9i + 9

 - 9i + 19

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   4  - 2i + 2i - i^2

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3) 10 + 15i

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The operations with imaginary numbers are equal to those of the real numbers considering i as a variable, but with a property that allows to simplify the expression more, that is that i squared equals -1. Taking this property into account, we solve the expressions like this:

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Answers

Answer:

1. 151.29 in.²

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3. 75 cm²

Step-by-step explanation:

1. 12.3 in. × 12.3 in. = 151.29 in.²

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3. 15 cm × 5 cm = 75 cm²

For further calculation steps, look at these images:

These images are about multiplication and the decimal numbers in the problems have been converted to fractions.

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Answers

Answer:

48.1 cubic meters or 48100000 cubic centimeters

Step-by-step explanation:

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I hope this helps you in any way:)

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Answers

Answer: The measurement of angle B is 50 degrees

Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve

Step-by-step explanation:

According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.

m<a + m<b + m<c = 180⁰

2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.

2a⁰ + a + a⁰ + 10⁰ = 180⁰

4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.

4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰

4a⁰ = 170⁰ Divide 4 from both sides.

4a⁰ / 4 = 170⁰ / 4

a = 42.5⁰

Now that you found a, plug 42.5⁰ in place of in all angles and solve.

m<a :-

2a⁰

2(42.5)⁰

85⁰

m<b :-

a + 10⁰

42.5⁰ + 10⁰

52.5⁰

m<c :-

a⁰

42.5⁰

m<a = 85⁰

m<b = 52.5⁰

m<c = 42.5⁰

Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.

m<a + m<b + m<c = 180⁰

85⁰ + 52.5⁰ + 42.5⁰ = 180⁰

180⁰ = 180⁰

Thus, m<b = 52.5⁰.

Hope this helps, thank you :) !!

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Answers

Answer:

b) 50

Step-by-step explanation:

750/15 = 50

For their summer jobs, Amanda and Julie are babysitting. Amanda starts with $150 in her savings account and
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Amanda's Equation: y = 15x + 150
Julie's Equation: y = 5x + 200


#28

Answers

I think the answer is that the same number will be the same at week 5

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Answers

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

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The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are sit by 11 ft. Find the ratio of the perimeter of the targer rectangle to the perimeter of the smaller rectangle.

Answers

Answer:

I think that the ratio would be 12:11

Step-by-step explanation:

Because if you multiply 3 and 9 then you do 12:11

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