Three years ago A's age was double of B's
age. Seven years hence, the sum of their
ages will be 83 years. Find the present
age of A?​

Answers

Answer 1

Answer:

present Age of " A " will be (x) = 45 years

present Age of " B " will be (y) = 24 years

Step-by-step explanation:

Age of " A " = x years

Age of " B " = y years

(Three years ago A's age was double of B's age.)

==> (x-3) = 2 * (y-3)

==> x - 2y = -6 + 3

==> x - 2y = -3 -------------(1)

(Seven years hence, the sum of their ages will be 83 years )

==> (x+7)+(y+7) = 83

==> x + y = 83 - 14

==> x + y = 69 ------------(2)

Subtract equ.(1) & equ(2)

==> -2y - y = -3 - 69

==> -3y = -72

==> y = -72/(-3)

==> y = 24

Keep value of y in equ(2)

==> x + 24 = 69

==> x = 69 - 24

==> x = 45


Related Questions

In a video game, Clare scored 50% more points than Tyler. If Tyler scored 60 points on the video game, how many
points did Clare score?
60
70
80
90
100
Which one

Answers

Answer:

90

Step-by-step explanation:

She scored 50% more so scored 1.5x tyler

1.5 * 60 = 90

Answer:

90

Step-by-step explanation:

so for this, all we have to do is add %50 of the first score to the second one, first lets find out what %50 of that score is

%50 of 60 = 30 (because %50 is half of something)

next, we add that new amount to the first score

60 + 30 = 90

so 90 is %50 more then 60, or 90 is %150 of 60

6. Sheila simplified an expression using the following steps. Which property justifies Step 3?

Step 1: 5x + 4(3 + 2x)
Step 2: 5x + 12 + 8x
Step 3: 5x + 8x + 12
Step 4: 13x + 12

O A. Identity Property
O B. Associative Property
O C. Distributive Property
D. Commutative Property​

Answers

Answer:

answer is Commutative Property

Step-by-step explanation:

Answer:D

Step-by-step explanation:Don't have one

help :( submit in simplest radical form :(

Answers

Answer:

y and x equal

[tex] \sqrt{5 } [/tex]

sin = opposite/ hypotenuse

sin 45° = x / √10

√10 sin 45° = x

x = √5

cosine = adjacent / hypotenuse

cos 45° = y / √10

√10 cos 45° = y

y = √5


both x = √5 and y = √5



write a real-world problem given the equation 2/3x = 12. Then solve the equation.

Answers

Answer:

You want to buy long pieces of paper at Dollar Tree for 66 cents. You have $12. How many long pieces of paper can you buy

Step-by-step explanation:

-4x = 8
what is it??

Answers

Answer: if your solving for x it’s -2

Step-by-step explanation:

Answer:

x is -2

Step-by-step explanation:

because -4 x -2 is 8

On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?

Answers

the straight line distance is 344

Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, they're swimming the same number of laps at a swim meet. Who will likely finish first?

Answers

Answer:

the answer is tess

Step-by-step explanation:i did it

The person that will likely finish first is: Tess.

What is Comparison factor?

Factor comparison is a systematic and scientific way of job appraisal that assesses jobs based on a number of characteristics rather than the job as a whole. The goal of factor comparison is to assign monetary worth to the various components of each employment role.

First, Tess and Alice swam laps for the same amount of time, but Tess finished more laps.

Second, they are swimming the same number of laps at a swim meet.

As, Tess finished more laps then Alice so he is always ahead of Alice.

In second time again Tess will finish more laps comparison to Alice.

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Match the following.

1. equilateral triangle
2. rectangle
3. circle circumference
4. trapezoid
5. parallelogram
6. triangle
7. regular polygon
8. circle area

Answers

1. A = 1/4s squared, square root of 3

2. A = bh

3. A = pi(r) squared

4. A = 1/2 h (b1+ b2)

5. C = pi(d)

6. A = base x altitude

7. A = 1/2(ap)

8. A = 1/2(bh)

- regular polygon

- trapezoid

- rectangle

- parallelogram

- circle circumference

- equilateral triangle

- circle area

Answer:

Answers are below.

Step-by-step explanation:

1.  Equilateral triangle - A = 1/4 s^2 √3

2. Rectangle - A = bh

3. Circle circumference - C = πd

4. Trapezoid - A = 1/2 h (b1 + b2)

5. Parallelogram - A = base x altitude

6. Triangle - A = 1/2 bh

7. Regular polygon - A = 1/2 ap

8. Circle area - A = πr^2

Hope this helps.  

Valerie and Seth are measuring the outside walls of a house using two different instruments. They want to find the house's perimeter. Valeria measured the north and east sides while Seth measured the west and south sides. Their results are listed in the table.

Part A
Use decimal numbers to write an expression that represents the length of the walls that Valerie measured.

Part B
Now use decimal numbers to write an expression that represents the length of the wall that Seth measured.

Part C
Write an expression for the perimeter of the house. Use the work you completed in part A & B to guide you.

Part D
Simplify the expression from part C to find the perimeter of the house in feet.

Part E
Suppose that you evaluate the expression for Valerie's wall and the expression for Seth's wall separately. Then you add the two expressions together. Will you get the same answer that you arrived at in part D? Why or why not? Show your work to prove your case.​

PLEASE PLEASE PLEASE HELP I REALLY NEED HELP IN THIS WORK, THANK YOU.

Answers

Answer:

A)

Valerie measured 4 walls at 2 1/2 feet. In decimal form, each wall is 2.5 feet long. So, the total length of the 4 walls is (2.5 × 4) feet.

Valerie measured 3 walls at 21 1/4 feet. In decimal form, each wall is 21.25 feet long. So, the total length of the 3 walls is (21.25 × 3) feet.

Valerie measured 1 wall at 32 feet.

The expression that gives the total length of the walls that Valerie measured is (2.5 × 4) + (21.25 × 3) + 32.

B)

Seth measured 1 wall at 3.5 feet.

Seth measured 2 walls at 22.75 feet. So, the total length of the 2 walls is (22.75 × 2) feet.

Seth measured 1 wall at 58 feet.

The expression that gives the total length of the walls that Seth measured is 3.5 + (22.75 × 2) + 58.

C)

The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.

The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.

To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.

D)

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58

= 10 + 63.75 + 32 + 3.5 + 45.5 + 58

= 212.75

The perimeter of the house is 212.75 feet.

E)

The total length of Valerie’s walls is 105.75 feet:

(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.

The total length of Seth’s walls is 107 feet:

3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.

The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.

edmentum answers :)

Solve for x please help


Answers

Step-by-step explanation:

4x + 2 + 3x + 3 = 180 (straight angle)

4x + 3x + 2 + 3 = 180

7x + 5 = 180

7x = 175

x = 25°

When you stand on snow, the average pressure P (in pounds per square inch) that you exert on the snow varies inversely with the total area A (in square inches) of the soles of your footwear. Suppose the pressure is 0.43 pound per square inch when you wear the snowshoes shown. Write an equation that gives P as a function of A. Then find the pressure if you wear the boots shown. (A=400in^2)

Find the pressure if you wear the boots shown below. (A=60in^2)

Answers

Answer:

0.43*0.43

Step-by-step explanation:

The pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.

What is pressure?

The force applied perpendicular to an object's surface per unit area across which that force is spread is known as pressure.

[tex]P= \dfrac{W}{A}[/tex]

As it is given that the pressure is inversely proportional to the area of the footwear. Therefore, the relation can be written as,

[tex]P\propto \dfrac{1}{A}\\[/tex]

Now, introducing a constant to remove the proportionality symbol, w that is the weight of the person, therefore,

[tex]P= \dfrac{W}{A}[/tex]

Now, as the area of the shoe is 60in²,  the pressure on the snow is  0.43 pounds per square inch. Therefore, the value of w can be written as,

[tex]0.43= \dfrac{W}{60}\\\\W = 25.8\rm\ pounds[/tex]

Now, the pressure on the snow if the area of the footwear is 400 in².

[tex]P= \dfrac{W}{A}\\\\P= \dfrac{25.8}{400}\\\\P = 0.0645 \rm\ pounds\ per\ inch^2[/tex]

Hence, the pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.

Learn more about Pressure:

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HELP!!! Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?

Answers

Answer:

He paid 9% in sales tax

Step-by-step explanation:

Please answer :)

( Will give brainlst)

Answers

Answer:

thank you for give me some time

Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }

Answers

Answer:

last one, the same X cant have more than one Y.

Name all digits that can be the last digit of prime numbers.

Answers

Answer:

1,2,3,5,7,9

Step-by-step explanation:

I started by seeing all the digits (0-9) which are prime numbers.

One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.

Answers

the answer is 40
this should be right

The two numbers are 6 and 20 respectively.

What are word problems?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is that one number is 10 less than 5 times the second number. Their sum is 26.

Let the numbers be [x] and [y] repsectively. Then, we can write that -

x + y = 26        ..... Eq[1]

x = 5y - 10        ..... Eq[2]

We can write -

x + y = 26

5y - 10 + y = 26

6y = 36

y = 6

Then, we can write [x] as -

x = 5 x 6 - 10 = 30 - 10 = 20

x = 20

Therefore, the two numbers are 6 and 20 respectively.

To solve more questions on equation modelling, visit the link below -

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Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 17% of those hours. Approximately how many hours is Sarah on-air each week?

Answers

55hours times .17 will give you the answer.

Sarah spends 9.35hours on air.

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

Find the value of z in parallelogram CDEF

Answers

Answer:

z = 13

Step-by-step explanation:

Opposite sides of a parallelogram are equal. Therefore:

3z = z + 26

Subtracf z from each side

3z - z = 26

2z = 26

z = 26/2

z = 13

800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?​

Answers

Answer:

8ile 6 yı çarp sonucu 800 ile topla 48+800= 848

Which figure is a pyramid? A cone. B cylinder. C rectangular prism. D pyramid.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

please helppp

Simplify.
(-2)^-3

Answers

Answer:

-1/8   <----- FRACTION

Step-by-step explanation:

-1/8
To simplify, first flip the term to the denominator to get rid of the negative exponent. Then simplify 1/-2^3. This equals 1/-8 because -2^3 is the same as -2*-2*-2, which is -8.

What is the y-intercept of the Function

Answers

Answer:

(0, 3)

General Formulas and Concepts:

Algebra I

Reading a Cartesian planeCoordinates (x, y)The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

According to the graph, when x = 0, we see that y = 3. Therefore, our y-intercept is (0, 3).

Where would the shape be located after a translation of 5 units to the right?

A. Quadrant 3

B. Quadrant 2

C. Quadrant 1

Answers

Answer:

It the shape would be in quadrant 1

Answer: Quadrant 1 I think

Step-by-step explanation:

x – 4y = 27
3x + y = -23

Answers

Answer:

Step-by-step explanation:

Answer:

x=-5, y=-8

Explanation:

I did it already

factor 1/8 out of 1/8x-49/8​

Answers

Answer:

1/8(x - 49)

Step-by-step explanation:

When we factor out something, we are basically finding common factors from multiple terms to take out. Example:

ab + ac; factored out: a(b + c)

If we want to factor out 1/8 from 1/8x - 49/8, we simply divide the two terms by 1/8.

[tex]\frac{1/8}{1/8x}[/tex] The 1/8 cancel out giving us x so:

1/8(x - __)

The next term,

[tex]\frac{49/8}{1/8}[/tex]

When two fractions divide, you flip the bottom one and multiply them both,

[tex]\frac{49}{8} *\frac{8}{1}[/tex]

giving us 49.

The answer is: 1/8(x - 49)

lil fun for yall
what is the answer to this step by step?

Answers

Answer:

194332.125 is the amount of interest

Step-by-step explanation:

47. Health care costs per capita Rising health care costs
are a growing concern for everyone in the United
States. Using U.S. Centers for Medicare and
Medicaid Services data from 2006 and projected to
2021, U.S. per capita health care costs can be modeled
by
y = 20.61x? - 116.4x + 7406
where x is the number of years past 2000. Use this
equation to find, to the nearest dollar, the average rate
of change of U.S. per capita health care costs from 2010
to 2015 and from 2015 to 2020.

Answers

NHE grew 4.6% to $3.8 trillion in 2019, or $11,582 per person, and accounted for 17.7% of Gross Domestic Product (GDP).
Medicare spending grew 6.7% to $799.4 billion in 2019, or 21 percent of total NHE.
Medicaid spending grew 2.9% to $613.5 billion in 2019, or 16 percent of total NHE.
Private health insurance spending grew 3.7% to $1,195.1 billion in 2019, or 31 percent of total NHE.
Out of pocket spending grew 4.6% to $406.5 billion in 2019, or 11 percent of total NHE.
Hospital expenditures grew 6.2% to $1,192.0 billion in 2019, faster than the 4.2% growth in 2018.
Physician and clinical services expenditures grew 4.6% to $772.1 billion in 2019, a faster growth than the 4.0% in 2018.
Prescription drug spending increased 5.7% to $369.7 billion in 2019, faster than the 3.8% growth in 2018.
The largest shares of total health spending were sponsored by the federal government (29.0 percent) and the households (28.4 percent). The private business share of health spending accounted for 19.1 percent of total health care spending, state and local governments accounted for 16.1 percent, and other private revenues accounted for 7.5 percent.

What is the probability that a value picked at random from the standard normal distribution will be between -1.96 and 1.96?

Answers

Answer:

P( -1.96 ≤ Z≤ 1.96) = 0.95

Step-by-step explanation:

Explanation:-

Given that the z -scores -1.96 and 1.96

we have to find   P( -1.96 ≤ Z≤ 1.96)

P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|

                              = |A(1.96)+A(-1.96|   (∵A(-Z) = A(Z))

                            =  0.4750+0.4750

                            = 2×0.4750

                           = 0.95

The probability lies between  -1.96 to 1.96

P( -1.96 ≤ Z≤ 1.96) = 0.95

             

This month the animal shelter had 50 puppies.
Some puppies were adopted. Now there are 40
puppies. What is the percent of change?

Answers

Answer:

5 percent change

Step-by-step explanation:

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