Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?

Answers

Answer 1

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]


Related Questions

a=4, b = 5, A = 16
Solve the Triangle

Answers

Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.

Extra: #1 Obtuse scalene triangle.

Sides: a = 4   b = 5   c = 1.051

Area: T = 0.724

Perimeter: p = 10.051

Semiperimeter: s = 5.026

Angle ∠ A = α = 16° = 0.279 rad

Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad

Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad

Height: ha = 0.362

Height: hb = 0.29

Height: hc = 1.378

Median: ma = 3.009

Median: mb = 1.517

Median: mc = 4.497

Inradius: r = 0.144

Circumradius: R = 7.256

Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]

Centroid: CG[-0.901; 0.459]

Coordinates of the circumscribed circle: U[0.526; 7.237]

Coordinates of the inscribed circle: I[0.026; 0.144]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 164° = 0.279 rad

∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad

∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad

Which triangles are congruent by ASA? *

Answers

The answer is B



Hajdbandnsnndndmsnamdnmd

Answer:

The correct answer is B. ΔVTU and ΔABC

Step-by-step explanation:

I took the test hope this helps :)

Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 

Answers

Answer:

Hope it will help you

Step-by-step explanation:

Option B

Jonathan can buy 33 games.

What is equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend

Let he can buy x games, then the equation will be,

0.75x+10 = 35

0.75x = 25

x = 100/3 ≈ 33

Hence, Jonathan can buy 33 games.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ5

Find the missing side lengths leave your answers as radicals

Answers

Answer:

Step-by-step explanation:

n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)

to find m:

20^2 + 20^2 = m^2

400 + 400 = m^2

800 = m^2

m = square root(800)

m = square root(400)xsquare root(2)

m = 20square root(2)

An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.

The solutions are not viable because the amount charged is not a whole number.

The solutions are viable because the amount of the sale is an integer.

The solutions are viable because the amount charged is positive.

The solutions are not viable because the amount of the sale cannot be negative

Answers

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

y = 12 • 3x for x = –2

Answers

Answer:

y=-72

Step-by-step explanation:

3(-2) = -6, y=12 times -6, y= -72

Charlie's art class is 8 hours long. How long is his class in minutes?

Answers

Answer:

480 minutes

Step-by-step explanation:

60 minutes = 1 hr

60 x 8 = 480

480 minutes = 8 hrs

12*PLEASE ANSWER FAST!!!!!!!!

Answers

Answer: 1 8/12 - 9/12

Explanation:
answer it 1 8/12 hope it helped

What is the domain of the relation [(x,y):y=x(x-3)/(x+4)(x-7)

Answers

Answer:

i think its b

Step-by-step explanation:

Write an equation in standard form.

Answers

Answer:

[1,2]; m = 7

Step-by-step explanation:

Plss see the attachment....

Angles 1 and 2 are supplementary. Angle 2 measures 50 degrees
MORE THAN angle 1. What is the measure of angle 2?

Answers

Answer: 115 degrees

Step-by-step explanation:

Give me the brainliest plz!

20. John Navarro is a salesperson in the appliance department at Morris

Appliance, Inc. He is guaranteed a minimum salary of $185 per week, or

5.5 percent of his total sales—whichever is greater. What is his gross pay

for a week in which his total sales were $3,422?

Answers

Answer:

$373.21

Step-by-step explanation:

Step one:

weekly pay = $185

commission= 5.5% of sales= 0.055

let the sale be x

and his gross pay be represented by y

hence the expression for the total/gross pay is

y=0.055x+185

Step two:

Required is the gross pay y for x=3422

substituting we have

y=0.055*3422+185

y=188.21+185

y=373.21

Hence for a sale of $3,422 made his gross pay is $373.21

The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)

Answers

Answer:

1 / 8

Step-by-step explanation:

Given the data

_____Favor __Oppose__ No Opinion__Total

Demo 320___ 150 ______50 _______ 520

Repub 125___ 345 _____ 10 _________480

Total 445 ___495 ______60 ________ 1000

what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica

From the table provided :

n(favor n republican) / n(Total)

Number of republican who are in favor = 125

Total number of persons = 1000

Hence,

125 / 1000

= 1/8

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =

Answers

Answer:

It may be 220 9/23. If it's wrong sorry lol.

Step-by-step explanation:

I- uhhhhhhhhhh dkkkkk

Please help it’s due tonight and my online teacher don’t help me or teach me please!!! ♥️

Answers

Answer:

x=4

Step-by-step explanation:

A+B=C

A^2+X=C^2

12^2+X=24^2

144+X=576

/144        /144

    x=4

According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who were not married. Throughout the​ 1990s, this increased by approximately 0.6% per year. If this trend​ continues, in which year will 31% of babies be born out of​ wedlock?

Answers

Answer:

The year is  [tex]b = 1995[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       [tex]d = a - k[/tex]

=>    [tex]d = 31 - 28[/tex]

=>   [tex]d = 3\%[/tex]

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       [tex]n = \frac{3\%}{0.6\%}[/tex]

=>     [tex]n = 5\ years[/tex]

Generally the year which the considered percentage will be attained is  

    [tex]b = 1990 + n[/tex]

=> [tex]b = 1990 + 5[/tex]

=> [tex]b = 1995[/tex]

Aisha divides 15 meter of ribbon into 2 equal pieces.

What is the length of each piece of ribbon?

Answers

Answer: 7.5 meters

Step-by-step explanation:

7.5 meters each 15/2=7.5

please help me with math​

Answers

First one is the 3rf

what is the quotient of -45/-5

Answers

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

Matea spent $15.00 on protein bars and sports drinks. Each bar cost $3.00 and each sports drink cost $1.50. Which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought?

A. p+s=15
B. p+s=4.50
C. 1.5p+3s=15
D. 3p+1.5s=15

Answers

Answer:

D

Step-by-step explanation:

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ 3p + 1.5s = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Matea spent $15.00 on protein bars and sports drinks.

Each bar cost $3.00 and each sports drink cost $1.50.

Now,

Let the number of protein bars = p,

And, the number of sports drinks = s

So, We can formulate;

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ $3p + $1.5s = $15

⇒ 3p + 1.5s = 15

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

George set up a display of oval and round pots at his garden store.

He had 16 oval pots.

He had 3 times as many round pots as oval pots.

He found cracks in 4 of the pots, so he set them aside.

George put the rest of the pots in 6 rows, with the same number of pots in each row.
How many pots did George put in each row?

A. 7 pots
B. 8 pots
C. 10 pots
D. 12 pots

Answers

The answer si b I think it's that if it's not sorry

I know that it’s supposed to flip over the y-axis but can someone please give me the points?

Answers

Answer:

Step-by-step explanation:

There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).

-7, -5 trans forms into 7, -5

-4, -2 transforms into 4,-2

4, -4 transforms into -4, -4

Write and solve an equation to find the value of x. PLS HELP!!

Answers

Answer:

23.59 - 14.89 = x

x = 8.7

Step-by-step explanation:

To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.

23.59 - 14.89 = x, so x = 8.7

Answer:

8.7

Step-by-step explanation:

Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.

Evaluate the function at the given value

f(x) = 4.753(0.9421)^x

x = 5

Answers

Answer:more info pl

Z

Step-by-step explanation:

) Encuentra dos números consecutivos cuya suma sea 57.​

Answers

Answer:

k

Step-by-step explanation:

k

Norman earns $675 per month walking dogs he has to pay 8.5% tax on his income how much tax did he pay

Answers

Answer:

57.375

Step-by-step explanation:

Multiply then move the decimal

Answer:

57.375

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 675 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 675 is 100%, so we can write it down as 675=100%.

4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.

5. Now we have two simple equations:

1) 675=100%

2) x=8.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

675/x=100%/8.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.5% of 675

675/x=100/8.5

(675/x)*x=(100/8.5)*x       - we multiply both sides of the equation by x

675=11.764705882353*x       - we divide both sides of the equation by (11.764705882353) to get x

675/11.764705882353=x

57.375=x

x=57.375

now we have:

8.5% of 675=57.375

hope it helpsssssss :)

sssssssssssssss

find gcd of (510,92)​

Answers

Answer:

The GCD of 510 and 92 is 2

Step-by-step explanation:

510 : 2 = 255

510 : 3 = 170

510 : 4 = 127.5

92 : 2 = 46

92 : 3 = 30.6667

92 : 4 = 23

hope this helps!

Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?

Answers

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

What is the value of X? GIVING BRAINLIEST FOR WHO ANSWERS BY 5 MINUTES.

Answers

Answer:

15

Step-by-step explanation:

triangle is isosceles

y = 3x - 12x +9
In standard form?

Answers

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.

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