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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umm.... 0+0 ? 0x2 ? 0 x any number ?? lolz

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What is the circumference of these circles using 3.14 or 22/7. (round to the nearest hundredth if necessary)

Answers

Answer:

4) (2)(4)(3.14) = 25.12 m

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What is the measure of angle H?
A. 80°
B. 75°
C. 110°
D. 95°

Answers

Answer:

A. 80

Step-by-step explanation:

T° = H°

if you rotated the first shape to match the second one, H° would fall on T°

Okay, I and my mom do not know how to do this- please help-
Distribution Skill
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Help p-p

Answers

3(-5y^2-3)
=-15y^2-9

Answer:

Step-by-step explanation:

this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :)  keep trying

this is called  "Distribution" and is used often

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

-15[tex]y^{2}[/tex] +9

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

I really need help please

Answers

Answer:

b= 64 m

Step-by-step explanation:

[tex]b^{2}[/tex] + [tex]48^{2}[/tex] = [tex]80^{2}[/tex]

[tex]b^{2}[/tex] = [tex]80^{2}[/tex] - [tex]48^{2}[/tex]

[tex]b[/tex] = [tex]\sqrt{80^{2}-48^{2} }[/tex]

 = [tex]64[/tex] m

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Solve the equation and enter the value of x below.
X +
+(-8) = 2
X =

Answers

Answer:

x = 10.

Step-by-step explanation:

x + (-8) = 2.

First, isolate x by adding 8 to both sides.

x = 8 + 2.

Next, solve.

x = 10.

Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.

10 - 8 = 2.

2 = 2.

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Answers

Answer:

$7,359.65

Step-by-step explanation:

The computation of the amount that to be deposited is shown below:

Here we have to calculate the present value

As we know that

Present value = future value ÷(1+ rate of interest)^years

where,

rate of interest = 12.2% ÷ 4 = 3.05%

And, the years is = 5 × 4 = 20

Now the present value is

= $13,422 ÷ (1+ 3.05%)^20

= $7,359.65

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a. 20
b.50
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d.100​

Answers

Answer:

b) 50

Step-by-step explanation:

750/15 = 50

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Answers

Answer:

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Step-by-step explanation:

Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75

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Lastly 3.14×1.75×1.75×5=48.1

I hope this helps you in any way:)

Fill in the blanks to the picture above

Answers

The left side was cut out but x will be on top and 5 in the lower square. The last one is the answer.

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Answers

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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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Answers

Step-by-step explanation:

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Answer:

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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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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:

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Step-by-step explanation:

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Answers

Answer:

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


#28

Answers

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Answers

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Answers

Answer:                         t=33

Step-by-step explanation:

Answer:

t = 33

Step-by-step explanation:

t/3 = 11

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Answers

Answer:

Part AThe graph is attachedPart B

For zero number the cost is zero and the rate of change is 25.

0 - 0, 1 - 25, 2 - 50, 3 - 75, 4 - 100

This is the indication of the proportional relationship

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The equation is:

y = 25x,

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Answers

Answer:

-3

Step-by-step explanation:

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Answers

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prove the indicated operations.
(3-i)(4+3i)(5-2i)

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)

2) 4i+3-6+i-1

3) 5i(3-2i)

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

5) (2+i)(2-i)

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

 3 + 2i - 1 + 6i

 2 + 8i

2) 4i + 3 - 6 + i - 1

  5i - 3 - 1

  5i - 4

3) 5i ( 3 - 2i )

  15i - 10i^2

  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

5) ( 2 + i ) ( 2 - i )

   4  - 2i + 2i - i^2

   4 - i^2

   4 - (-1)

   5

1) 2 + 8i

2) -4 + 5i

3) 10 + 15i

4) 19 - 9i

5) 5

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:

1) (3 + 2i) - (1-6i) = 3 + 2i - 1 + 6i = 2 + 8i

2) 4i + 3-6 + i-1 = 5i - 4 = -4 + 5i

3) 5i (3-2i) = 5i*3 - 5i*2i = 15i - 10i^2 = 15i - 10(-1) = 15i + 10 = 10 + 15i

4) (5 + 3i) (2-3i) = 5*2 - 5 3i + 3i*2 - 3*3i^2 = 10 - 15i + 6i - 9i^2 = 10 - 9i - 9(-1) = 10 - 9i + 9 = 19 - 9i

5) (2 + i) (2-i) = 2*2 - 2*i + 2*i - i^2 = 4 - 2i + 2i - (-1) = 4 + 1 = 5

I hope one of these help:)

What is the Angled measurement of ∠B

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 :) !!


Picking Green! This is a game similar to the one you played in class, where you try
to pick as many green chips as possible before picking one white chip. One bag
has the same number of green and white chips, and the ratio of green to white
chips in the second bag is unknown. Laura and Carly completed an experiment,

Answers

Answer:

the first is a 50% chance

the second is not possible to know

Step-by-step explanation:

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