Karen used a birthday check her mother gave her to start a savings account. She plans to save $25 per
month as well. After 8 months, Karen has $250. Write and solve a linear equation to find the original check
amount from Karen's mother.

Answers

Answer 1

Answer:

Explanation:

Lets just say the amount her mom gave her is c

and the months is a

the equation would be

c + 25a = 250

we can plug in 8 for a, cause we know its been 8 months,

c + 25(8)= 250

then do the parentheses

c + 200 = 250

subtract the 200 to isolate the variable c

c = 50

then you get c = 50,

Karen's mom gave her a check for $50.

(why karen btw. i would never give $50 to a karen)

Answer 2

The linear equation to calculate the amount from Karen's mother is

A + 25x = 250

where A is the amount and x is the number of months

The amount from Karen's mother is $ 50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount given to Karen by her mother be = A

Let the total number of months be = x

The value of x is = 8 months

The total amount Karen has after 8 months = $ 250

The amount Karen saves per month = $ 25

Now , the equation will be

Total amount Karen has after 8 months = amount given to Karen by her mother + ( amount Karen saves per month x total number of months )

Substituting the values in the equation , we get

250 = A + 25x

On simplifying the equation , we get

A + 25x = 250

when x = 8

A + 25 ( 8 ) = 250

A + 200 = 250

Subtracting 200 on both sides of the equation , we get

A = $ 50

Therefore , the value of A is $ 50

Hence , The linear equation to calculate the amount from Karen's mother is  A + 25x = 250

where A is the amount and x is the number of months

The amount from Karen's mother is $ 50

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Related Questions

Write the following ratio in their simplest form 80cm:40cm

Answers

Answer:

The average ratio of 80cm and 40cm is 60cm

Step-by-step explanation:

please mark brainiest

Answer:

2cm:1cm

Step-by-step explanation:

80cm:40cm then divide that by a number that they can both be divided by which is 40.

You are multiplying as many as you want 5s and as many as you want 2s, at least one of each. What could the last digit of the product be?

Answers

Answer:

0

Step-by-step explanation:

It is always going to be 0 because there is always going to be a 2 and a 5 that multiply to make the units digit zero.

I hope this could help you.

Answer:

0

Step-by-step explanation:

any multiple of 5 ends in 5 or 0

it cant end in 5 as then it wouldn't be an even number

so its 0

what is the radius of a sphere with the volume of 12348pi

Answers

Answer:lemme see

Step-by-step explanation:

the length of a rectangle is 5 less than twice its width. the perimeter is 26 meters. find the dimensions of the rectangle.

Answers

Step-by-step explanation:

Let x be the length of rectangle and y its width.

P is the perimeter.

So it is given that length is 5 less than twice its width

x=2y-5 so 2y=x+5

also P=2x+2y=26

lets find x

we know 2y=x+5 we replace 2y on P=2x+2y=26

so 26=2x+(x+5)

26=3x+5

21=3x

x=7

so we have that 2y=x+5 so 2y=7+5=12

y=6

we found

length=7

and

width=6

Help help help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think the starting point is in quadrant Q, and the finishing point is in quadrant S. I don't really understand part B, sorry...

Solve the inequality 4(x+1)<4x+3

Answers

Let's solve your inequality step-by-step.

4(x+1)<4x+3

Step 1: Simplify both sides of the inequality.

4x+4<4x+3

Step 2: Subtract 4x from both sides.

4x+4−4x<4x+3−4x

4<3

Step 3: Subtract 4 from both sides.

4−4<3−4

0<−1

Answer:

There are no solutions.

Answer: no solution

Step-by-step explanation:

HelpI don’t understand graphs and I will mark brainliest for the correct answer

Answers

Answer:

G(x)=x^3-1

Step-by-step explanation:

Надеюсь тебе это поможет

Is a = 2.4 a solution to the equation below? Show why or why not.
9a-3 = 4a +9

Answers

Answer:

Yes

Step-by-step explanation:

Both equations equal 18.6. Just plug in 2.4 for a to check

25. What is the slope of the line that passes through the points (8, 1) and (5, 7)?

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

You can use the formula for slope (m) to find it:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -1)/(5 -8) = 6/-3 = -2

The slope of the line is -2.

PLZZZZZ HELP I DONT GET IT

Answers

Answer:

C

Step-by-step explanation:

5.9(9 - 5) + 4^3 + 3.86

5.9(4) + 4^3 + 3.86

5.9(4) + 64 + 3.86

23.6 + 64 + 3.86

Put the decimals together so it will be easier:

23.6 + 3.86 + 64

27.46 + 64

= 91.46

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Solve~parenthesis~first:[/tex]

[tex]\bold{(9-5)=4}[/tex][tex]\bold{Solve~using~PEMDAS-Parenthesis.}[/tex]

[tex]2.)~Calculate~the~power~of~4^3:[/tex]

[tex]\bold{4^3=64}[/tex][tex]\bold{Solve~using~PEMDAS-Exponents.}[/tex]

[tex]3.)~Multiply:[/tex]

[tex]\bold{5.9}[/tex] × [tex]\bold{4=23.6}[/tex][tex]\bold{Solve~using~PEMDAS-Multiplication.}[/tex]

[tex]4.)~Add:[/tex]

[tex]\bold{23.6+64=87.6}[/tex][tex]\bold{87.6+3.86=91.46}[/tex][tex]\bold{Solve~using~PEMDAS-Addition.}[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

[tex]\bold{The~simplified~equation~answer~is~\boxed{C.}}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

If people blink about 17 times per minute, how many times do they blink in 8 hours?

Answers

Answer:

8,160 times in 8 hours.

Step-by-step explanation: What You must do is Multiply 17 and 60 because there are 60 mins in an hours. You get 1,020 blinks an hour. Now multiply 1,020 and 8 to get 8,160 blinks in 8 Hours.

The marketing department of a local shoe company found that approximately 550 pairs of running shoes are sold monthly when the price of each pair is $100. It was also observed that, for each $1 reduction in price, an additional 20 pairs of
running shoes are sold monthly. What price should the shoe store charge for a pair of running shoes in order to maximize revenue?

Answers

Answer:

The price that maximizes the revenue is $63.75

Step-by-step explanation:

Analyzing the statement one after the other.

[tex]Initial\ Quantity = 550[/tex]  ---- When ----- [tex]Initial\ Price = \$100[/tex]

When there's a reduction of $1, we have:

[tex]Quantity = 550 + 20x[/tex] and [tex]Price = 100 - x[/tex]

Where x represents the maximum reduction

At this point, we need to calculate the revenue (R)

[tex]R = Quantity * Price.[/tex]

[tex]R = (550 + 20x) * (100 - x)[/tex]

Open Brackets

[tex]R = 55000 - 550x + 2000x - 20x^2[/tex]

[tex]R = 55000 +1450x - 20x^2[/tex]

Differentiate both sides with respect to x

[tex]\frac{dR}{dx} = 0 + 1450 - 40x[/tex]

[tex]\frac{dR}{dx} = 1450 - 40x[/tex]

To maximize revenue;

[tex]\frac{dR}{dx} = 0[/tex]

So:

[tex]1450 - 40x = 0[/tex]

[tex]1450 =40x[/tex]

Solve for x

[tex]x = 1450/40[/tex]

[tex]x = 36.25[/tex]

Recall that:

[tex]Price = 100 - x[/tex]

Substitute [tex]x = 36.25[/tex]

[tex]Price = 100 - 36.25[/tex]

[tex]Price = 63.75[/tex]

Hence:

The price that maximizes the revenue is $63.75

A 6-foot piece of aluminum wire costs $49.68. What is the price per inch?

Answers

Answer:

0.69

Step-by-step explanation:

72 inches in 6 feet

72 divided by 49.68=0.69

Hope this helps

Order the following from least to greatest: 37, -9, -14, 34, -47, -18, 26

Answers

-47, -18, -14, -9, 26, 34, 37

If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?

Answers

Answer: In point C.

Step-by-step explanation:

Plane ADB is the plane that contains the points A, D and B.

If you look in the image, you can see that point C also does belong to this plane.

Line EC is the line that connects the points E and C.

Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.

It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry as well as other areas in which the product is used in the home, for example, detergent. These machines are not perfect, and indeed they may A, fill to specification, B, underfill, and C, overfill. Generally, the practice of underfilling is that which one hopes to avoid. Let P(B) = 0.002 while P(A) = 0.980.

Answers

Hdhhdbdhdbdjndlsp highly vtu ghkcgk. Hhknbsjksjs

Katie bought a new dress for the winter
formal dance at school. She was able to find it
on sale for 40% off the original price. If she
paid $72 after the discount was applied, then
what was the original price of the dress?

Answers

Answer: it’s 120

Step-by-step explanation:

1. Add 4.2 to both sides.

2. Divide both sides by -3.

Answers

you should share a picture of the problem so it can be solved. Because we need to know what we’re adding 4.2 to on both sides

You are facing West. Turn 90 degrees left. Turn 180 degrees
right. Reverse direction. Turn 45 degrees left. Reverse direction.
Turn 270 degrees right.
In which direction are you now facing?

Answers

You would be facing Northeast.

First try was incorrect
Lee wrapped 4 presents every 6 hours. At that rate, how many would
he wrap in 18 hours?
label optional

Answers

Answer:

27

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

6time 3=18 so 3 times 4 =12

Joe's employer will reimburse him $0.07 per mile driven. If Joe drives 179.53 miles on a business trip, what is his mileage reimbursement? Round your answer to the nearest cent.

Answers

Answer:

$12.27

Step-by-step explanation:

.07 times 179.53 is 12.5671 so rounded to 12.27

The mileage reimbursement for Joe is: $12.27 to the nearest cent.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that Joe's employer will reimburse him $0.07 per mile driven.

If the employer reimburses $0.07 per mile driven, we just need to multiply $0.07 by the number of miles that Joe drives.

So, the mileage reimbursement for Joe is:

0.07 x 179.53 = 12.5671

so rounded to 12.27

Therefore, The mileage reimbursement for Joe is: $12.27 to the nearest cent.

Learn more about the unitary method;

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Randy has $15 to spend on fruit. Using only estimation, which quantities of fruit can Randy reasonably buy? Check all that apply.

Answers

Answer:

7.2 pounds of apples

10.75 pounds of pears

4.22 pounds of strawberries

Answer:

A D E  A=7.2 D=10.75 E=4.22. HOPE THIS HELPS! PLS give me brainliest...

Step-by-step explanation:

WHAT IS 52÷467 I NEED TO KNOW CAUSE I HAVE TO GET MY GRADES UP

Answers

Answer:

.1113490364

Step-by-step explanation:

this is the answer.

write the side length of the square root. is the side length a rational or irrational number​

Answers

Answer:

10 it is rational

Step-by-step explanation:

The two windows shown are similar. What is the height of the larger window?

Answers

Answer:

the answer is 5.44 feet

Step-by-step explanation:

Add me

Answer:

Step-by-step explanation:

The Jacuzzi in Anna and Tamara's room is octagonal in shape (eight sides).
The top and bottom of the base of the Jacuzzi is 3x + 2,
the other six sides are 2r. Write an expression that
represents the perimeter of the base of the Jacuzzi."

Answers

Answer:

people place anf things fom different sources from different people

Answer:

18x+4

Step-by-step explanation:

add all the sides to get the perimeter 2 +2+2+2+2+2 =( 12) 3x+2 +3x+2=(6x+4) Make the expression 12x+6x+4 add 12+6= gives you 18x+4

what is an equivalent expression for 1/4x
please help ASAP.​

Answers

Answer:

x/4

Step-by-step explanation:

Which of the following line is parallel to the the line y=3/4x+7

Answers

the answer is y=3/4x-9

HELP PLEASE ILL GIVE BRAINLIEST The point (5, 12.3) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply.
a
(3, 7.38)

b
(2, 5)

c
(11, 27.06)

d
(1.5, 4)

e
(1, 2.46)

help asap

Answers

Answer:

[tex]a. \: (3, 7.38) \\ c. \:(11, 27.06) \: and\: \\ e. \: (1, 2.46) \\ are \: correct.[/tex]

Step-by-step explanation:

[tex]this \: constant \: ratio \: is \: gotten \: by \: \\ \frac{x}{y} = \frac{12.3}{5} = \frac{7.38}{3} = \frac{27.06}{11} = \frac{2.46}{1} = 2.46 \\ so \: constant \: is \: 2.46 \: and \: points \: that \\ \: also \: lie \: on \: the \: same \: graph \:are: \\ a. \: (3, 7.38) \\ c. \:(11, 27.06) \: and\: \\ e. \: (1, 2.46) [/tex]

Find X and Y in this figure

Answers

Answer:

x = 6

y= 24

Step-by-step explanation:

90+ (3y+18) = 180. reason [being co-interior angle

(15x+30)+10x = 180. reason [being co-interior angle

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