13. Maddie purchased a sofa and a chair for her new apartment. The sofa cost $40 more
than twice the chair. She paid a total of $1252. What did she pay for each one?

Answers

Answer 1

The sofa cost $848 while the chair cost $404

Let x represent the cost of the sofa and y represent the cost of the chair.

The sofa cost $40 more  than twice the chair, hence:

x = 2y + 40

x - 2y = 40        (1)

She paid a total of $1252, hence:

x + y = 1252     (2)

Solving equation 1 and 2 simultaneously gives:

x = 848, y = 404

Therefore the sofa cost $848 while the chair cost $404

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Related Questions

Find the slope of the line graphed below.

Answers

Slope is the change in y over the change in x.

Using the red dots:

Slope = (4 -1)/(4- -1) = 3/5

Slope = 3/5

Please help!!

2y = -1 + 9
3х — бу :
-15
M

Answers

• Rearrange first equation
x + 2y = 9

• Multiply the first equation by 3
3(x + 2y = 9)

• Rewrite equation 1
3x + 6y = 27

• Write both equations
3x + 6y = 27
3x - 6y = -15

• Subtract equation 1 from equation 2
3x + 6y = 27
-
3x - 6y = -15

• Write the reaming values
12y = 42

• Divide both side by 12 to solve for y
12y = 42 ➗ 12

• Write value of y
y = 3.5

• Substitute the value of y into one of the original equations
2(3.5) = -x + 9

• Use algebra and sole for x
7 = -x + 9
x = 9 - 7
x = 2

• Write final point
(3.5, 2)

Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?

What is the answer for this question?

Answers

Answer:

$260

Step-by-step explanation:

620-100=520 ( to make both of them equal)

520÷2=$260

Hope this helps! Thanks.

What is the quotient of 3/4 and 5/6

Answers

Answer:

9/10 in fraction form 0.9 in decimal form

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

keep change change, then multiply.

Please help fast!! Quarter ends tonight!

Answers

Answer:

-18

Step-by-step explanation:

2 x -2^3 + 3 x 2 x -1 - 4 x -1^2 = -18

Answer I think is 18

Step-by-step explanation:

The first part is 16, then the second part is 6, then the third part is 4. So then it would be 16+6-4=18, if I'm not mistaken.

what's 5.1 x 10^0 in standard notation? plz I meed it for my math class ​

Answers

Answer:

5.1

Step-by-step explanation:

Since any (nonzero) number to the zero power is equal to one, 10^0 = 1

5.1*1 = 5.1



HELP ME WORTH 10

A. The number of gallons in the tank after one hour

B. The rate of change of gas in her tank over time

C. The number of gallons of gas at time x=0

D. How long it takes Ai Mi to run out of gas

Answers

Answer:

B

Step-by-step explanation:

the amount of gas in tank changes over time (hours)

pls correct me if I'm wrong hope this helps

What is 300251 rounded to the nearest Highest Place

Answers

300000 , make me the barinliest

Answer:

30,000

Step-by-step explanation:

What is the solution?
[tex]\lim_{x\to 0} \frac{x + 2}{ x -2}[/tex]


Math please ​​

Answers

Answer:

[tex] - 1[/tex]

Step-by-step explanation:

[tex]\lim_{x\to 0} \frac{x + 2}{ x -2}[/tex]

[tex] = \frac{0 + 2}{ 0 -2}[/tex]

[tex] = \frac{2}{-2}[/tex]

[tex] = - 1[/tex]

Answer:

- 1

Ok? Understand?

........

Find any solutions of x/x-1 + 2/x+2= -6/x^2+x-2

Answers

Answer:

a I think ooookkkkk

The solution of the equation x/(x-1) + 2/(x+2) = -6/(x²+x-2) represented by statement is option D. The equation has one true solution and one extraneous solution.

To find the solutions to the equation, we need to simplify and solve for x:

x/(x-1) + 2/(x+2) = -6/(x²+x-2)

Factor the denominators on both sides of the equation.

The denominator on the left side can be factored as follows:

x² + x - 2 = (x+2)(x-1)

Find the common denominator.

The common denominator for the left side is (x-1)(x+2).

Rewrite the fractions with the common denominator:

[(x+2) × x]/[(x-1)(x+2)] + [2 × (x-1)]/[(x-1)(x+2)] = -6/[(x+2)(x-1)]

Combine the fractions,

[x(x+2) + 2(x-1)] / [(x-1)(x+2)] = -6/[(x+2)(x-1)]

Eliminate the denominator:

Multiply both sides by (x+2)(x-1) to eliminate the denominators:

[x(x+2) + 2(x-1)] = -6

Expand and simplify the equation:

x² + 2x + 2x - 2 = -6

x² + 4x - 2 = -6

x² + 4x + 4 = 0

Solve for x using the quadratic formula:

x = (-b ± √(b²-4ac)) / 2a

Here, a = 1, b = 4, and c = 4.

x = (-4 ± √(4² - 4 × 1 × 4)) / 2× 1

x = (-4 ± √(16 - 16)) / 2

x = (-4 ± √0) / 2

x = (-4 ± 0) / 2

x = -4 / 2

x = -2

The equation has one true solution, x = -2 (repeated root).

Now, let's check this solution in the original equation:

x/(x-1) + 2/(x+2) = -6/(x²+x-2)

(-2)/((-2)-1) + 2/((-2)+2) = -6/((-2)²+(-2)-2)

(-2)/(-3) + 2/0 = -6/(4-2-2)

2/0 is undefined, and since we cannot divide by zero, we have an extraneous solution.

Therefore, the correct statement  for the solution is option D. The equation has one true solution and one extraneous solution.

learn more about solution here

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#SPJ2

Alex bought 5 yards of fabric to make pillows. What is the length of the fabric in inches?
1 foot = 12 inches
1 yard = 3 feet
1 mile = 5,280 feet
1 mile = 1,760 yards

Answers

5 yards is 180 inches

Answer:

180 inches

Step-by-step explanation:

Convert 5 yards to feet. According to the information given, 1 yard = 3 feet. So now we have to multiply 5 yards by 3 feet which gives you 15 feet. Secondly, convert 15 feet to inches. It stated that 1 foot = 12 inches, so we have to do 15 feet multiplied by 12 inches to give you, 180 inches. So therefore, the length of the fabric is 180 inches.

help please i will give brainliest

Answers

Answer:

Give me branilest first you scammer

Step-by-step explanation:

Please someone help me.. ASAP ​

Answers

Answer:

1c2a3b

Step-by-step explanation:

what is a rapid loan?

Answers

Answer:Rapid Loans Fast is the premier provider of cash advances, emergency and weekend loans. ... Thanks to the introduction of modern IT, the application for an online loan will take you no more than 5-10 minutes. Approval occurs automatically, after which the payday loans are instantly transferred to the borrower's bank card.

Step-by-step explanation:

Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)

Count the number of ways in which four 8's can be chosen.

Answers

Answer:

24

Step-by-step explanation:

there are 4 way of choosing an ace card after choosing an ace card now we have 3 ways of choosing a king after choosing a king there are two ways of choosing a queen after choosing queen there is only one way of choosing a jack .

so the number of elements in the event is =4×3×2×1=24

we use permutation here for finding the total number of elements

Using the concept of combination, since the order of selection doesn't matter, the number of ways in which four 8's can be chosen is 1

There are 13 cards in a suit :

Number of cards numbered 8 in a suit = 1

Number of ways of choosing a specific card :

(13C1) ÷ 13 = (13 ÷ 13) = 1 way

Since there are four different suits :

The number of ways of selecting a card numbered 8 from 3 each suit will be 1.

Hence, the number of ways in which four 8's can be chosen would be :

1 × 1 × 1 × 1 = 1

Therefore, there is only 1 way of choosing four 8's

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25.638= Twenty five and six hundred thirty eight how would this be written out And how to find this Question to the answer ​

Answers

Answer:

25.638

Step-by-step explanation:

because I am smart

Taci is studying a map before her hiking trip. on her map, 2 inches equals 85 miles. how far apart are two locations if they are 1.5 inches apart on the map? a. 63.75 miles c. 68 miles b. 113.33 miles d. 67.11 miles

Answers

Answer:

a

63.75

I decided 85 by 2 to get what one Ince would be and then multiplied that number by 1.5

Hi, what is this number in expanded form, please let me know?

Answers

Answer:

5,078.401

Step-by-step explanation:

5,000 + 70 + 8 + 0.4 + 0.001 = 5,078.401

In the figure shown, help

Answers

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

Given that only lines a and b are parallel, any triangle not involving lines a or b, or not having K as a vertex, will not be similar to ΔJKH.

prove that the sum of any 5 consecutive natural numbers is divisible by 5​

Answers

Answer:

Let the 5 consecutive numbers be x, x + 1, x + 2, x + 3 and x + 4.

The sum of the 5 consecutive numbers,

x + x + 1 + x + 2 + x + 3 + x + 4

= x + x + x + x + x + 1 + 2 + 3 + 4

= 5x + 10

To prove : -

The sum of any 5 consecutive natural numbers is divisible by 5​.

Proof : -

( 5x + 10 ) / 5

= ( 5x / 5 ) + ( 10 / 5 )

= x + 2

Hence proved.

Therefore,

The sum of any 5 consecutive natural numbers is divisible by 5​.

P is the set of integers that are greater than or equal to -3 and less than -1

Answers

Yes the answer is greater than

i dont understand if anybody can help me i would be happy​

Answers

Answer:

(2, 3)

Step-by-step explanation:

The rule for this dilation is:

(x, y) → (x/2, y/2)

Apply this rule to point B(4, 6):

B(4, 6) → B'(2, 3)

Which fraction is equivalent to the one shown below?

Answers

Subtracting a negative becomes addition.

Both of the subtractions are subtracting a negative , so they both become addition.

Answer: D. 18 5/8 + 22 2/5 + 40 1/5

a reduced fat cookie contains 11g of fat per serving. in order for food to be termed 'reduced fat', it must have at least 20% less fat than the regular item. what can conclude about how much fat is in a serving regular cookie?

Answers

Personally, I did this in a kinda weird way but I think that it should be correct

-How I figured the answer out-

I took 11g and wrote 80% next to it, because after all it has 80% less fat than the regular cookie.

Then, I scaled it down to 10% by dividing by 8, which got me

1.375g = 10%

And finally, I multiplied by 10 to now have 100% (meaning, a regular serving size cookie) and be left with the result: 13.75g

-The answer-

13.75g   (don't forget to write the units)

Have a great day :)

Janet hiked 3/8 mile in 1/4 hour how fast did she hike in miels per hour

Answers

Answer:

[tex]1\frac{1}{2}[/tex] miles per hour

Step-by-step explanation:

To solve, multiply both sides by 4;

[tex]\frac{1}{4} *4=4\\\\\\[/tex]

[tex]\frac{3}8} *4= \frac{12}{8}[/tex] or [tex]1\frac{1}{2}[/tex]

Hope this helps! :)

what is f(-1) for the graph shown below?

Please help

Answers

Answer:

f(-1)= -3

Step-by-step explanation:

We all know f(x) = y

Since x= -1, y= -3 as per given in the graph, so

f(-1)=-3

How long should an escalator be if it is to make an angle 30 with the floor and

Answers

Answer:

it should be 23 feet long

Step-by-step explanation:

After 5 years, Ben’s income has undergone several increases. Last month, Ben put $600 in savings, which was 10% of his net income. What is Ben’s new monthly net income?

Answers

Answer:

$6,000

Step-by-step explanation:

10/100 = x/600

= (600 * 100)/10

= 600 * 10

which transformation would result in a geometric figure

Answers

Answer:

You reflect it, Translated and Rotate it

Step-by-step explanation:

hope this helps

PLEASE HELP WORTH 10

D. The expected height for someone with a femur length of 55 centimeters

Answers

Answer:

D. The expected height for someone with a femur length of 55 centimeters

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