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


Related Questions

a cylinder has a base diameter of 10 inches and a height of 19 inches. what is it's volume in cubic inches, to the nearest tenths place? show all work and explain please !

Answers

Answer:

1492.26in

Step-by-step explanation:

(awarding brainliest) i’m not that smart pls help.

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

5) (12)(3.14) = 37.68 ft

6) (2)(2)(3.14) = 12.56 yd

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.

Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)

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   :)


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:

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 :) !!

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:)

Easy question!!! Solve for x.

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

yes

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

Fifteen pencils are sold for $750. what is the cost for 1 pencil ?

a. 20
b.50
c.30
d.100​

Answers

Answer:

b) 50

Step-by-step explanation:

750/15 = 50

I just failed algebra for the third time someone help pls
Just tell me what to do

Answers

Answer:

study lol

Step-by-step explanation:

May you please answer these four questions for me? This is all i ask of you

Answers

Answer:

1. 151.29 in.²

2. 413 km²

3. 75 cm²

Step-by-step explanation:

1. 12.3 in. × 12.3 in. = 151.29 in.²

2. 17.5 km × 23.6 km = 413 km²

The third is a parallelogram. To find the area of a parallelogram you multiply the base and height.

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.

describe how we could create our own zero pair.

Answers

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

t/3 = 11 solve equation and check souloution what is t

Answers

Answer:                         t=33

Step-by-step explanation:

Answer:

t = 33

Step-by-step explanation:

t/3 = 11

t = 11 × 3

t = 33

How much must be deposited into an account that pays 12.2% annual interest compounded quarterly to receive $13,422 after 5 years.

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

a jogger runs 8 miles north and then 5 miles west what is the shortest distance to the nearest tenth of a mile he must travel to return to his starting point​

Answers

C=9.4 Miles hope this helps

For their summer jobs, Amanda and Julie are babysitting. Amanda starts with $150 in her savings account and
earns $15 per week. Julie starts with $200 in her savings account, and earns $5 per week. Use the following
equations to determine the number of weeks they will have the same amount of money?
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

Find X
Please help asap!!

Answers

I assume X= 100, since it look like 100 degree angle is equal to X angle
X is going to be 100 degrees as well, because they are verticals angles.

Which values are solutions to the inequality below? Check all that apply.
x^2<8
A. -2
B. 3
C. 4
D. 2.

Answers

2 I think that is the answer

Which of the following best represents pi for the circle below?

Answers

Answer:

Pi ~ 3.14

That is probably the best measure.

Step-by-step explanation:

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°

the cost of buying shoes is shown in the table below

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

Part CIt is a constant change as the difference is same for each step - 25The ordered pair (1, 25) shows the unit rate is $25 per pair of shoesPart DConstant of proportionality is 25Part E

The equation is:

y = 25x,

where y - cost, x - number of pairs of shoes, 25 - constant of proportionality

This is my question, if you can solve this in under 2 minutes you are skilled!

Answers

Answer:

they both ate the same amount

Step-by-step explanation:

tito

1/4+3/8+1/2= 1 1/8

luis

5/8 + 1/2= 1 1/8

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:

is it math

Step-by-step explanation:

omg I really really really hate math

A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?

Answers

Answer: They can hand out exactly 80
Explanation: 200 divided by 2 1/2 = 80

write a sentence describing the meaning of the statement c(2)=40

Answers

Step-by-step explanation:

A number,c times two equal forty.

Answer:

The following statement means that the cost of 2 months' worth of gigabytes costs $40.

Step-by-step explanation:

Go shop Quelenasboutique on Esty!

which expression is equivalent to the given expression?​

Answers

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

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.

what is the slope of (1,3) and (1,0)​

Answers

Answer:

-3

Step-by-step explanation:

you can tell that the awnser is negative because the coordinates of Y go down from 3 to 0.

Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?

Answers

Answer:

48.1 cubic meters or 48100000 cubic centimeters

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

Volume of Cylinder=Pi×radius squared×height

Lastly 3.14×1.75×1.75×5=48.1

I hope this helps you in any way:)

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