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Sharon is 5 times as old as her daughter. 4 years ago, the square of the sum of their ages is equal to 256. Forming an algebraic equation, find their present ages. ​

Answers

Answer 1

Answer:

Sharon is 36

Her daughter is 7 years and 2 months

Step-by-step explanation:

sharon is 5× as old

her daughter is written as 1 (because we dont know about her age)

then square root of 256 to find square which is equal as said in the queston:which is 16

algebraic equation would be:5n+16 (n represents the years and 5 is how many times older sharon is and 16 is how old their square sum of agewas 4 years ago)

Their present age would be:

Sharon=5x4+16=36

Daughter =36÷5=7 years 2 months

Answer 2

The present age of Sharon is 20 and the Present age of her daughter is 4.

What are algebraic equations?

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.

Given, Sharon is five times her daughter's age. The square of their ages was equal to 256 four years ago. Let the age of Sharon is x and the age of her daughter be y.

Thus the algebraic equation formed as per the given data is,

x = 5*y (Present age)

(x-4 + y -4)^2 = 256 (Four years ago)

Taking square root both the sides

x + y = 24

comparing both equations

5 y + y = 24

y = 4

and x = 20

Therefore, Sharon is currently twenty years old, and her daughter is currently four years old.

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Related Questions

Solve for w.
-9 – 7W = -9 – 8w

Answers

Answer:

Step-by-step explanation - w= o

Please help me solve this.

Answers

Answer:

The function is increasing on the intervals (-∞, -1) and (2, ∞)

The function is decreasing on the intervals (-1, 2)

The domain of the function is (-∞, ∞)

Step-by-step explanation:

In order to see where the function is decreasing or increasing, check the x values to see where it is the rise and where it is fall.  The domain of the function is never-ending so it is (-∞, ∞)

What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (4, 1)?

Answers

Answer:

Step-by-step explanation:

Given:

The line parallel to the given line containing the points (-3,3) and (-2,1).

Also, the parallel line passes through the point (4,1).

We need to determine the equation of the line in slope - intercept form.

Slope:

Since, the two lines are parallel, then their slopes are equal.

Thus, the slope of the parallel line can be determined using the formula,

Substituting the points (-3,3) and (-2,1), we get;

Thus, the slope of the line is

Equation of the line:

The equation of the line can be determined using the formula,

Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;

Thus, the equation of the line is

Hence, y − 1 = −2(x − 4) is the correct answer.

:)

April pays a dog-walking service $30 each week to walk her dog. Let w = the number of weeks. Let d = the number of dollars April pays the service. Part A Which equation represents the problem? A. d = w + 30 B. w = d × 30 C. w = 30 + d D. d = w × 30 Part B Drag numbers to complete the table to show the number of dollars, d, that April spends on dog-walking in w weeks. Numbers may be used once, more than once, or not at all. 61803460150200 w 1 2 5 d 30 90 120

Answers

Answer:

Rule + 30, Equation: w=d+30

Step-by-step explanation:

Hope this will help some of you!

The amount in dollar for w weeks be d= 30 x w.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Let w = the number of weeks.

Let d = the number of dollars April pays the service.

April pays a dog-walking service $30 each week to walk her dog.

So, the equation represents the situation

d= 30 x w

Hence, the amount in dollar for w weeks be d= 30 x w.

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Find the common difference in the arithmetic sequence, an, in which a3=11 and a12=74.

Answers

Answer:

d=7

Step-by-step explanation:

An object moves along a straight line so that at any time t , for 0≤t≤8 , its position is given by x(t)=5+4t−t2 . For what value of t is the object at rest?
A. t = 2
B. t = 4
C. t = 9/2
D. t = 5

Answers

Answer:

D. t = 5

when the object is at rest => x(t) = 0

<=> -t^2 + 4t + 5 = 0

<=> t^2 - 4t - 5 = 0

<=> (t - 5)(t + 1) = 0

=> t = 5 or t = -1

but t》0

=> t = 5

The value of t if the object at rest is 2 secs: Option A is correct

Given the position of the object moving in a straight line expressed as:

x(t)=5+4t−t²

The velocity of the body at rest is zero

Get the velocity fucntion.

v(t) = d(x(t))/dt = 4 - 2t

Since v(t) = 0

0 = 4 - 2t

-4 = -2t

t = 2

Hence the value of t if the object at rest is 2 secs

Learn more here: https://brainly.com/question/17917549

what if the answer????

formula for perimeter of a square​

Answers

Answer:

Let the side of the square be x

Then the perimeter of the square is (side)=4x

tony is taking a 5 year loan in the amount of $15,000. The interest is continuously compounded at an annual rate of 7%. How much will he owe, in dollars, at the end of the loan term?

Answers

Answer:

$21,038.28

Step-by-step explanation:

Use the equation 15000(1.07)^5 since 1.07 equals to 7% and you are loaning more money to Tony's account for 5 years.  You should get $21,038.28 as your result.

Answer: 21286

Step-by-step explanation:

28. An Amazon Echo originally costs $99.99. It is on sale for 10% off. Sales tax of 7.5% is then added to the sale price. What is the cost of the Echo on sale including tax? Round your answer to the nearest penny.

Answers

Answer:

$96.74

Step-by-step explanation:

The original cost of the Amazon echo = $99.99

Then we have a 10% sale which we are going to subtract from the original cost.

= $99.99-(99.99x10%)

= 99.99-9.999

= $89.991

Then a tax of 7.5% was added

= $89.991 + (89.991 x 7.5%)

= 89.991 + 6.749325

= $96.740325

Therefore the cost of the echo including tax is $96.74

The equation of a circle is A is x^2

Answers

Answer: ??

Step-by-step explanation:

This might help :/

Area of a circle = pie r^

Circumference = 2pie r

leyes logicas de la matematica

Answers

Step-by-step explanation:

Leyes conmutativas. ...

- Leyes asociativas. ...

- Leyes distributivas. ...

- Leyes de idempotencia. ...

- Leyes de Morgan.

Explain which line must be parallel pllleeeaaaasser hurryyyy

Answers

Answer:

Lines P and Q

Answer:

parallel lines are lines that are directly next to each other so i think line's

p and q

Step-by-step explanation:

please mark me the brainliest if i am right

Krutika was thinking of a number. Krutika doubles it, then adds 19 to get an answer of 65. What was the original number?

Answers

Answer:

i tink its 46 yhhhhh

Combine like terms in each expression
1. 1/4k+1/4m-2/3k+5/9m
2. -4b + 2w + (-4b) + 8w
3. 6- 5z + 8 - 4z + 1​

Answers

Answer:

5/12k = 29/36m

8b = 10w

9z = 15

Step-by-step explanation:

Combining the like terms in these sets of equations is quite easy and straightforward. All we do is carry the like terms to either of the side of the equation, and question is solved. As in below

1/4k + 1/4m - 2/3k + 5/9m =

1/4k - 2/3k + 1/4m + 5/9m = 0

-5/12k + 29/36m = 0

5/12k = 29/36m

-4b + 2w + (-4b) + 8w =

-4b - 4b + 2w + 8w = 0

-8b + 10w = 0

8b = 10w

6- 5z + 8 - 4z + 1​ =

6 + 8 + 1 - 5z - 4z = 0

15 - 9z = 0

9z = 15

PLEASE HURRY ITS TIMED THANKS SO MUCH :D

The unit price of a 128-ounce jug of milk is 4.8 cents per ounce. A 64-ounce carton of milk has a unit price of 5.1 cents
per ounce. Approximately how much money is saved by purchasing a larger jug instead of two cartons?
O $0.38
O $0.54
O $4.27
O $6.14

Answers

Answer:

O.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

Edgen 2021

how much more is subtraction or addition JUST ASKING OUT OF CURIOSTY

Answers

It’s addition. Subtracting is how much less

Answer:

subtraction is less

Step-by-step explanation:

What is the value of the expression when x = 5? 3x^2 + 14 - 10x

Answers

Answer: 39

Step-by-step explanation:

Alicia records the total number of points scored in two games by 10 players on her basketball team.

28, 13, 4, 8, 15, 10, 22, 7, 11, 15
Which box plot represents the data

Answers

Answer:

Your answer would be D It makes much more sense than the others

Step-by-step explanation:

good luck :)

Answer:

First option at second row , Option( C )

Step-by-step explanation:

In order to solve the problem,

First we need to arrange the numbers in ascending order.

4 , 7 , 8 , 10 , 11 , 13 , 15 , 15 , 22 , 28

Median = [tex]\frac{11 + 13}{2}[/tex]

             = 12

From the first range ( 4,7,8,10,11 ) , we can find Q1 also known as first quartile where Q1 = 8 ( middle-most number).

Similarly, from the second range ( 13,15,15,22,28 ) , we can find Q2 also known as third quartile where Q3 = 15 (middle-most number ).

Now, for the box plot,

We need to draw a number line from 0 to 32.

Next, we need to draw a box from Q1 to Q3 with a vertical line through the median.

Next, we put dots above 4 and 28 since our numbers start from 4 and end with 28.

Finally we join the dots and the box plot with a straight line.

Hence, option C is the correct choice.

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The average age of a group of 30 children is 10.3 years. The average age of another group of 50 children is 8.7 years. Find the average age for all of the 80 children

Answers

Answer:

9.3

Step-by-step explanation:

30*10.3 = 309

50*8.7 = 435

309 + 435 = 744

744 / 80 = 9.3

9.3

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Identify a2. in the sequence below.
12, 7, 2, -3..

Answers

Answer: -7 This may be wrong. Sorry if it is.

Estimate the sum or difference 8/9 + 3/8

Answers

Answer:

1/19/72

Step-by-step explanation:

Find the missing side length

Answers

Answer:

7 ft

Step-by-step explanation:

16-9=7

How many solutions does the system have?
- 2x - 4
y = 3x + 3
Choose 1 answer:
A
Exactly one solution
B
No solutions
С
Infinitely many solutions

Answers

Answer:
A:One Solution
Step-by-step explanation:
First substitute the y in the first equation with the second equation to get
-2x-4=3x+3
since theres a variable of both sides, you subtract the variable with the least coefficient, in this case, you add 2x to both sides to get
-4=5x+3
subtract the constant on both sides to get
-1=5x
divide both sides by 5
x= -0.2 or -1/5
it's A, one solution

Find the x- and y-intercepts of the linear function.
-8 - 2x + 4y = 0

Answers

Answer: x-2y=-4

Step-by-step explanation:

Move the constant to the righthand side and change its sign (-2x=4y+8)Change the signs on both sides of the equation (x-2y=-4)Divide both sides of the equation by 2 (-x+2y=4)Solution: x-2y=-4

Let f(x)=x−1. The graph of g(x)=f(x)+k is shown below. Identify the value of k.

Answers

Answer:  k = 4

Explanation:

The linear equation f(x) = x-1 has the y intercept -1. We can see this by comparing it to y = mx+b and see that b = -1. Or we could plug in x = 0 to get the output y = -1.

The graph shows the y intercept is y = 3. The jump from y = -1 to y = 3 is plus 4. This means the graph of f(x) has been moved up 4 units. Therefore, k = 4.

Since y = f(x), saying g(x) = f(x)+k = f(x)+4 means we add 4 onto each y value. This indicates every point on the f(x) line moves up 4 units to arrive at a corresponding point on the g(x) line.

what is the qoutient -3 ÷ 9?

Answers

Answer:

0.25

Step-by-step explanation:

The rectangle below has an area of x^2
-114square meters and a length of x+12metters

Answers

Given that,

The area of the rectangle, [tex]A=x^2-114[/tex]

Length of the rectangle, [tex]l=x+12\ m[/tex]

To find,

The width of the rectangle.

Solution,

The formula for the area of a rectangle is given by :

A = lb

b is width of the rectangle

[tex]b=\dfrac{A}{l}\\\\b=\dfrac{x^2-114}{x+12}\\\\b=\dfrac{x^2-12^2}{x+12}\\\\b=\dfrac{(x-12)(x+12)}{(x+12)}\\\\=(x-12)\ m[/tex]

So, the width of the rectangle is (x-12) m.

I'LL GIVE BRAINYEST

A box shaped like a rectangular prism has a height of 8 inches, a width of 6 inches, and a volume of 240 cubic inches. What is the length?
7 inches
6 inches
5 inches
4 inches

Answers

Answer:

7 inches..............

Answer:

8

Step-by-step explanation:

Volume = Length * Width * Height

512 = 8*8*Height

Height = 512/64=8

Solving quadratic equations solve: x^2=81

Answers

Answer:9

Step-by-step explanation:

Square root of 81 is9.

Answer: 9
I hope this helps u!

Please help<3
Select the correct answer.
Which equation is equivalent to the given equation?
22 - 6x = 8
OA (1 – 3)2 = 14
OB. (1 – 3)2 = 17
Oc. (= – 6)2
OD. (1 – 6)2 = 20
= 44

Answers

Answer:

Step-by-step explanation:

B

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