John's sister is twice his age. In 5 years the sum of their ages will be 31. How old are John and his sister now? Briefly explain how you arrived at your answer.

Answers

Answer 1

Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.

x = 2y

To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.

x + y = 27

The sum of their ages is 27, and we can substitute the value of x here to figure out y.

2y + y = 27

We can now simplify this, and get y by itself.

3y = 27

Now, we can divide by 3 to get the y by itself.

y = 9

We now know that John’s sister is 9.

Now, using our original equation, we can substitute in the value of y.

x = 2(9)

We can simplify this.

x = 18

John’s age is 18!

Hope this helps.


Related Questions

What do you multiply 6 by in order to get -3

Answers

Answer:

-1/2

Step-by-step explanation:

Graph the equation 2x−y=9 by plotting points.

Answers

Answer:

y=2x-9

Step-by-step explanation:

2x-y=9

-2x     -2x

-y=-2x+9

-y/-y= -2x/-y+9/-y

y=2x-9

The required graph of equation 2x - y = 9 by plotting points is attached below.

To graph the equation 2x - y = 9 by plotting points, we can choose different values of x, solve for y, and then plot the corresponding points.

Here is a table of values:

x | y

0 | -9

1 | -7

2 | -5

3 | -3

4 | -1

5 | 1

Using these values, we can plot the points (0, -9), (1, -7), (2, -5), (3, -3), (4, -1), and (5, 1) on a graph.

The x-axis represents the values of x, and the y-axis represents the values of y. Connect the plotted points with a straight line to represent the equation 2x - y = 9.

Thus, the required graph of equation 2x - y = 9 is attached below.

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ6

An exotic-animal rancher needs to purchase feed for his unicorns. Unfortunately, commercial unicorn feed is not available. The unicornsrequireat least12 milligrams of zinc, 36 grams of protein, and 24 ounces of carbohydrates per day. A small bagof pegasus feed contains 2 milligrams of zinc, 2 grams of protein, and 2 ounces of carbohydrates, and it costs $25. A small bagof hippogriff feed contains 1milligram of zinc, 9 grams of protein, and 3 ounces of carbohydrates, and it costs $20. How many bags of each should the farmer purchase in order to supply the unicorns with the required nutrients for the lowest cost, and what is the minimum cost?

Constraints:

Objective Formula:

Answers

Answer:

Do you go to Carnegie?

Step-by-step explanation:

Ram bought an article for rs. 148.75. He gave rs. 200 to the shopkeeper. What balance will he get ?

Answers

Answer:

his balance will be 51.25 rs.

Step-by-step explanation:

200 - 148.75 = 51.25

Answer:

51.25

Step-by-step explanation:

200-148.75

=51.25

What is the value of the expression below? (9 divided by 3) + 4 (6 minus 7) –7 –1 7 20


PLEASE ANSWER QUiCK I’m on timer

Answers

Answer:

The answer is -1.

Step-by-step explanation:

Answer:

-1 is the answer saw it on clculator

Find the value of x:

Answers

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. And there ya have it mate.

Dave cleans pools at a constant rate of 2/5 pools per hr what is the ratio of the number of pools he cleans to the number of hours
How many pools can dave clean in 20 hrs

Answers

Answer:

For every 1 hour he cleans 2/5 pools, so the ratio of pools to hours is 0.4:1

In 20 hours, Dave can clean 2/5 • 20 = 8 pools.

y-2/3(9x - 3y)


With solution

Answers

Answer:

y - (18x - 6y)/3  

Step-by-step explanation:

y - (2/3)(9x - 3y)

y - [(2)(9x - 3y)]3

y - (18x - 6y)/3

y + (-18x + 6y)/3

y - 6x + 2y

-6 + 3y

Last year the original prices of Emma's and Sophie's phones were $560 and $640. Now the prices reduced in ratios 7:6 and 4:3 respectively. What is the difference of the current prices?

Answers

it’s gonna be 3:3 which is equal to 1100 good job

Given that <2=<6.
Which theorem proves that line d is parallel to line e.

A. Alternate interior angle theorem
B.Converse of the alternate exterior angle
theorem
C.Converse of the alternate interior angle
theorem
D.Alternate Exterior angle theorem

Answers

Answer: B . Converse of the alternate exterior angle theorem.

The converse of the alternate exterior angle proves that line d is parallel to line e which is the correct answer would be an option (C).

What are Alternate Interior Angles?

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.

According to the alternate exterior angles theorem, if two parallel lines are intersected by a transversal, the alternate exterior angles are congruent. In light of this, the converse of the alternate exterior angle theorem would state that if the two outside angles are congruent, the lines that the transversal cuts must be parallel.

The graph indicates that the outer angles are congruent (both equal x) shows that the lines are parallel.

Therefore, the converse of the alternate exterior angle proves that line d is parallel to line e.

Learn more about Alternate Interior Angles here:

brainly.com/question/2125016

#SPJ2

An 80 metre long train crosses a 120 metre long platform in 20 seconds, what is the speed of the train per hour?​


ans:
Total distance= length of train + length of platform

I.e 80+120= 200 m but need in kmph so 0.2 km

Time = 20 second but need in hours so 20/(3600)= 1/(180)

Speed = distance / time = 0.2*180= 36 kmph


Answers

Total distance= length of train + length of platform

I.e 80+120= 200 m but need in kmph so 0.2 km

Time = 20 second but need in hours so 20/(3600)= 1/(180)

Speed = distance / time = 0.2*180= 36 kmph

2.) The original price of Airpods is $160.00. They
are on sale for 15% off. What is the discount
Amount

Answers

Answer:

$136.00

Step-by-step explanation:

Change 15% to 0.15. Multiply 0.15 x 160. You get 24. Subtract 24 from the orginial price. 160-24=$136.000

Answer:$136

Step-by-step explanation:

David is building a toy box. Its length will be 4 feet, its width will be 2.5 feet and its height will be 2 feet. What will the volume of the toy box be?

Answers

Answer:

the answer to this would be this 20 ft

Step-by-step explanation:

you would this by taking 4 times 2.5 times 2 and you would get the answer of 20 ft for the volume.

It would be 20 ft hope that helped <3

Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?

Answers

Answer:

Around 2.63

Step-by-step explanation:

144 x 2.63 = 378.72

I would put 2.60, but you do you

Please help ASAP!! Will give brainliest if correct!!

Given that SR QT and SQ ≈ ST, find the perimeter of QST.

A. 22
B. 27
C. 30
D. 32

Answers

Answer:

b

Step-by-step explanation:

It’s b because I did something similar just different wording

During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.​

Answers

Answer:

Constant of proportionality; k = 20/3

Step-by-step explanation:

Let running be A and sprinting be B.

Now, we are told that you run 20 seconds for every 3 seconds you sprint.

This means that is directly proportional to B and written as; A ∝ B.

Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.

Thus, A = kB

Where k is the constant of proportionality

Plugging in the values of A and B we are given, we have;

20 = 3k

Divide both sides by 3 to get;

k = 20/3

What is 2. 1.
— • —?
3. 2


Simplify to the lowest terms.
PLEASE HELP ASAP!! 20 points!!!

A. 1

6

B. 1

4

C. 1

3

D. 1

2

Answers

Answer:

a is the answer

Step-by-step explanation:

8.51348434552 to 3 decimal places

Answers

Answer:

8.513

Step-by-step explanation:

The round off to the number at three decimal places will be 8.513.

What is rounding off the numbers?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

The round-off to the number 8.51348434552 to the three decimal places will be 8.513.

To know more about rounding off numbers follow

brainly.com/question/10340128

#SPJ6

if there are 16 ounces in a pound. how many pounds are in 24 ounces

Answers

Answer:

1.5 lbs

Step-by-step explanation:

We know that there are 16 ounces in 1 pound.

To find how many pounds are in 24 ounces, simply divide 24 by 16.

Doing this, you get 1.5 pounds.

Josiah went to the local barber to get his hair cut. It cost $18 for a haircut. Josiah tipped the barber 15%. What was the total cost of the haircut including the tip?

Answers

Answer:

$20.7

Step-by-step explanation:

If 6 bags of chocolate chips are needed to make 86 cookies, how many cookies can 8 bags chocolate chips make?

Answers

Answer:

114.666666667

Step-by-step explanation:

Step 1:

6/86 = 8/x        Equation

Step 2:

6x = 688        Multiply

Step 3:

x = 688 ÷ 6    Divide

Answer:

x = 114.666666667

Hope This Helps :)

IA:B 7:8 an B:C 12:7 find A C in its simplest form.
b. 3:2
C. 19:6
a. 2:3
d. 4:5​

Answers

Answer:

3:2

Step-by-step explanation:

A:B 7:8 an B:C 12:7 find A C in its simplest form.

ans;

3:2

Jack owes a total of $24.00 to 6 different friends. If Jack owes each friend an equal amount, which answer choice represents the change in Jack's money when he pays one friend?

Answers

Answer:

5555555555555555555225313

Step-by-step explanation:

3

6

554

Answer:

$20.00

Step-by-step explanation:

24.00/6=4 so 24-4=20.00

given that g(x)= -(x-1)^3 , write an expression for h(x) in terms of x​

Answers

Answer:h(x) =-(x+5)^3

Step-by-step explanation:

Select each transformation that carries a square onto itself.

A
A rotation of 180 degrees clockwise about one of the square's vertices.

B
A rotation of 90 degrees clockwise about the square's center.

C
A reflection over one of the square's sides.

D
A rotation of 180 degrees clockwise about the square's center.

E
A reflection over one of the square's diagonals.

Answers

Answer: E B D

Step-by-step explanation: I did a test

Transformation involves moving a shape from one position to another. The transformation that carries the square onto itself is:

A rotation of 90 degrees clockwise about the square's center. A rotation of 180 degrees clockwise about the square's center. A reflection over one of the square's diagonals.

For the square to carry itself onto itself, it must either be rotated or reflected.

For reflection:

It must be reflected across any of its diagonal

For rotations:

It must be rotated through its center, around multiples of 90 degrees (i.e. 90, 180, 270, 360.....)

Hence, the correct options are: B, D and E

Read more about transformations at:

https://brainly.com/question/11709244

pls help thanks alot​

Answers

1st, 4th, 5th. hope this helped!

Answer:

A, C, D

Step-by-step explanation: the side of the > that has the opening is the side that should have the greater number, so if its like answer A its true

Another way to write (3x-4)^2?

Answers

(3x-4)(3x-4) not sure if this is correct

What is (2n-9)-5(-2.4n+4)?

Answers

I think the answer is 14n-29

A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees

B
60 degrees

C
72 degrees

D
90 degrees

Answers

Answer: Your answer is C, 72 degrees.

Step-by-step explanation:

A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.

How many significant figures are in the number: 9003

Answers

Answer:

4

Step-by-step explanation:

Other Questions
Plz i wanna those solutions Which one of the following is the symbol used in a chemical equation for agas?A. (g)B. (aq)C. (gas)D. (a) is 3/17 rational or irrational PLS HELP ASAP! FOR BRAINLIEST ANSWER! Select all choices that can fill in the blank to make the statement true.-5 is the5.Aadditive inverse ofBadditive equivalent ofCopposite ofDsame as Plants could not live if they were unable to get water and nutrients from soil. In some places, especially deserts, these resource are in short supply so plants must compete with each other for them. Which of the following is an actual strategy used by plants to keep competitors from being a problem?A) Having very spiky parts above groundB) Releasing plant poisons (herbicides) from their roots into the soil Duke Ellington was considered a great composer, arranger, and conductor in the jazz era. Describe some of the terminology used regarding the jazz era in the piece Take the "A" Train. Give a brief synopsis of the piece and describe some of the differing sounds that you will hear after reading about the piece. Please Help Me! 20 POINTS PLEASE HELP!!!!! Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75and each drink cost 50 cents. In total, Charlie paid $25.50 for his order.Write an equation that represents the relationship between the number ofhamburgers he bought, h, and the number of drinks he bought, d. Following is information about consulting jobs for a company that is increasing in sales, but has not yet become profitable. The owner keeps financial records on yellow sticky notes stuck to the wall behind his desk. He has asked you to help him set up a costing system so that he can better understand his costs. The owner said that job 140 was completed, job 141 was started and completed, and job 142 was started this month. Professional labour hours for contracts in process consist of job 140 with 129 hours, job 141 with 258 hours, and job 142 with 137 hours. Professional labour was paid $23,580 for the month, and the professional employees are all paid the same rate per hour. Overhead is allocated using an estimated rate based on professional labour hours. The total cost for job 141 is $32,766. Actual overhead cost for the month was $53,448. What is labour paid per hour? Labour per hour. What is the estimated rate per labour hour used to allocate overhead? per hour. Overhead rate What are the total costs (before adjusting for overapplied or underapplied overhead) for Jobs 141, 142, and 143? Total cost Job 140 Job 141 Job 142 What are the amounts in cost of goods sold and work-in-process at the end of the month? Cost of goods sold Work-in-process What amount of overhead was overapplied or underapplied this month? Overhead If this month is typical, what is a reasonable overhead rate? Reasonable overhead rate per hour A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, must they take the elevator to get to Parking A? Express your answer in one or more complete sentences. How was Nubia different fromEgypt? Sam drove from San Diego (elevation 210 feet) to the Grand Canyon (elevation -247 feet). What is the difference in elevation between San Diego and the Grand Canyon? Select the correct answer from each drop-down menu.Napoleon introduced many reforms in France to boost its development. He improved the education system by creating lyces. The purpose of lyces was to . Napoleon also created the , which was a set of laws that established freedom of religion and abolished feudalism. 7x + 3x + 4 - 24 (Given)10x + 4 = 24 (Simplify)10x = 20)x = 2 (Division)What is the missing reason for the argument shown? A)addition. B)divisionC)subtractionD)multiplication how do you solve this equation shown?5x - 3(x + 9) + 10 = 4 there you go beuty :) What musculoskeletal condition is often characterized by chronic pain Your parents love coffee . They purchased a bag of coffee online for 10.99. Since they purchased it online . They received 18% off . What was the sale price Elena has some bottles of water that hold 17 fluid ounces each.A. Write and equation that relates the number of bottles of water (b) to the total volume of water (w) in fluid ounces. B. How much water is in 51 bottles? C. How many bottles does it take to hold 51 fluid ounces of water? Mr. Smith and Ms. Jones start at the same place.Mr. Smith drives north for 4 miles. Ms. Jonesdrives east for 5 miles. What is the direct distancebetween Mr. Smith and Ms. Jones?A. 18 milesB. 41 milesC. 9 milesD. 41 miles