At a sale this week, a sofa is being sold for $272. This is a 36% discount from the original price. What is the original price?

Answers

Answer 1

Answer:

Step-by-step explanation:

A 36% discount means the selling price is (100-36)% = 64% of the original price.

$272 = 64% of x = 0.64·x

x = $272/0.64 = $425


Related Questions

Solve for x. I don't know how to do this. Please help.

Answers

x=15

EXPLANATION:

5x+4+5x+11+x=180

11x+15=180
-15 -15

11x=165
— ——
11 11

x=15

negative 24 divided 15

Answers

Answer:

-1.6

Step-by-step explanation:

On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?

Answers

Answer: The fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]

Step-by-step explanation:

Given: Fraction of day Sylvia spent to drive her cousins home = [tex]\dfrac5{12}[/tex]

Fraction of day Sylvia spent to drive her home back= [tex]\dfrac5{12}[/tex]

Total fraction of day Sylvia spend driving to her cousins house and back = [tex]\dfrac5{12}+\dfrac{5}{12}[/tex]

[tex]=\dfrac{5+5}{12}\\\\=\dfrac{10}{12}\\\\=\dfrac{5}{6}[/tex]

Hence, the fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]

factorise for 4x + 2​

Answers

Answer:

2(2x + 1)

Step-by-step explanation:

4x = 2 * 2x

2 = 2 * 1

To keep it simple this would be the factored answer

2(2x+1)

In Kelsey’s pencil case, she has 2 highlighters for every 7 pencils. What is the ratio of pencils to highlighters?

Answers

Answer:

7:2

Step-by-step explanation:

Answer:

7:2

Step-by-step explanation:

Solve the system by substitution.
y = -6x
y = -4x + 4

Answers

Answer:

x=-2 y =12

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

−6x=−4x+4

Solve

−6x=−4x+4

x=−2

y= 12

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,12)

The result can be shown in multiple forms.

Point Form:

(−2,12)

Equation Form:

x=−2,y=12

Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.



At the end of 6 years, the balance was $3,025. What is the interest rate on this account?

Answers

The percent is 5.25%

The interest rate on Mia's account is 20.17%.

What is the simple interest?

The borrowing amount is just the principal amount multiplied by the simple interest rate.

Given, Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.

The formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100 ,

Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.

We have, P = $2500 T = 6 years, S.I. = $3025

Substituting all the values in the formula;

3025 = 2500 x 6 x R / 100

R = 3025 x 100 / 15000

R = 20.17%

Therefore, the interest rate is 20.17%.

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You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?

Answers

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

pls help <3 i mean i’m sure it’s easy but i don’t know what to write.

Answers

Circumference/Diameter = pi = 3.14
C/D = pi = 3.14

Q6. Solve
4x + 3y = 5
2x + 3y = 1
Your answer

What does x equal and what does y equal

Answers


4x + 3y = 5...(1)
2x + 3y = 1...(2)

(2)*2:
4x+6y=2...(3)

(1)-(3):
4x+3y-(4x+6y)=5-2
4x+3y-4x-6y=3
-3y=3
y=-1

By sub. y=-1 in (2), we have
2x+3(-1)=1
2x-3=1
2x=4
x=2
The solution is x=2,y=-1

Answer:

(2,-1)

x=2

y=-1

Step-by-step explanation:

=
What is the value of the expression below when w=
3?
5w + 2

Answers

Answer:

17

Step-by-step explanation:

5w+2

Substitute w as 3

5(3)+2

Multiply

15+2

Add

17

I hope this helps!

Complete the table:

a. 1
c. 2
b. -1
d. 0

Answers

Answer:

cos0 = 1

cos90 =0

so a for the first one and d for the other

Answer:

The answer is -1

Step-by-step explanation:

:)

1.A rectangular room contains 600m cube of air and its height is 5m.
(i) Find the area of its floor.
(ii) Find the cost of carpeting its floor at Rs 60 per sq.m.

Answers

Answer:

24 m square

1,440 RS

Step-by-step explanation:

Volume is height x area

600= 5 x area => area = 600/5 = 24 m2

24 sqm x 60 RS/ sqm = 1,440 RS

GIVING BRAINLIEST

The table shows the temperature at noon of four towns for 2 days.
Player
Temperature Temperature
Day 1 (°F) Day 2 (°F)
Mimstown
4 -6
Pikeville
-9 -1
Jackson
-4 3
Lancaster
6 14
Which town had the SMALLEST change in temperature between the two days?

Answers

jackson

Step-by-step explanation:

Jackson because it’s -4 and 3

If y varies directly as x, and y =6 when x =10, find x when y=18

Answers

Answer:

X=30

Step-by-step explanation:

y=kx

6=10k

k=0.6

y=0.6x

18=0.6x

X=18/0.6

x=30

The value of x when y = 18 is 30.

What is Direct Variation?

Direct variations are defined as the functions of the form y = kx, where k is a constant.

Here when y increases, x increases and if y decreases, x also decreases.

Given that y varies directly as x.

That is the equation relating y and x can be written as,

y = kx, for some constant k.

Given that,

When x = 10, the value of y = 6.

Substitute in the equation.

6 = 10k

k = 6/10 = 3/5

Now we have to calculate the value of x when y = 18.

Substitute the found values and given values in the equation.

18 = (3/5) x

x = (18 × 5) / 3

x = 30

Hence the value of x is 30 when y = 18.

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Here are the prices of some items and the amount of sales tax charged on each in Nevada. Cost of Item $10; Tax .57 Cost of Item $50; Tax 2.85 What is the sales tax rate in Nevada?

2.5% 7%
4.8% 5.7%

Answers

The answer is 4.8

Explanation
4.8



explanation: hope this helps

Solve the system using substitution.
6x+8y=30 y=1/2x

Answers

Answer:

(3, 1.5)

Step-by-step explanation:

Given the system:

6x + 8y = 30 y=1/2x

Substitute y and solve for x:

6x + 8y = 306x + 8(1/2x) = 306x + 4x = 3010x = 30x = 3

Find y:

y = 1/2xy = 1/2(3)y = 1.5

Solution is (3, 1.5)

please help me on this will give you brainliest

Answers

Answer:

Step-by-step explanation:

m<2= 69 degrees

m<1 and m<3 = 21 degrees

Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?

Answers

Answer:

1/8 cup left

Step-by-step explanation:

Starts with 7/8

Uses 1/2 which equals 4/8

Then uses another 1/4 which equals 2/8

4/8+2/8 is 6/8 so he uses 6/8 of olive oil

He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8

jack finds this list of ingridents needed to make 20 muffins. To make 20 muffins you need 220ml milk, 250g castel sugar, 400g flour.
Jack has these ingridents : 1 litre of milk, 750g caster sugar and 1.5kg flour. Work out the greatest number of muffins Jack can make with his ingridents!

Answers

Answer:

60 muffins

Step-by-step explanation:

Find out how much ml you need for each ingredient.

20 muffins =

220 ÷ 20 = 11 (milk)

250 ÷ 20 = 12.5 (castel sugar)

400 ÷ 20 = 20 (flour)

Find out the greatest number of muffins Jack can make.

1 litre = 1000 ml

1000 ÷ 11 = 90.90 (recurring decimal) (milk)

750 ÷ 12.5 = 60 (castel sugar)

1500 ÷ 20 = 75 (flour)

Find the smallest answer out of the 3 questions.

Factorise.
5a - 25a^3

Answers

Answer: 5a(1- 5a^2)

Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell before he gets home?

Answers

Answer:

yes

Step-by-step explanation:

Even after 5 minutes, it will still take Darnell 27 more minutes to get home. If Hector can make it in 24 minutes, then he can catch up to Darnell before he gets home.

There are 30 pieces of fruit in a bowl and 12 of them are oranges. What percentage of the pieces of fruit in the bowl are oranges?

Answers

Answer:

40% of the fruit in the bowl are oranges.

Step-by-step explanation:

12/30=0.4

i need help, may someone help please..

Answers

Answer:

if line p is going through the middle x is equal to 5

You're making deliveries and can travel 484 miles on 22 gallons of gas. How far can
you travel on 38 gallons of gas?

Answers

836, because 484 divided by 22 is 22, so each gallon can do 22 miles. 38 times 22 is 836.

Encuentra el mínimo común múltiplo para cada par de números.



1) 3, 24

2) 24, 4

3) 8, 2

4) 5,30

5) 3, 40​

Answers

1. 24

2. 24

3. 8

4.30

5. 120

what is 3 times 4 time 20

Answers

240 is the answer

Step-by-step explanation:

3x4=12

12x20=240

A square has legs of 11, what is the measure of its hypotenuse

A.) 9.4 or B.)15.6

Answers

15.6 is the measure of the hypotenuse of the square.

What is a square?

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.

Given that one side of the square is 11.

The diagonal is the hypotenuse of the square.

Since square have equal sides, the hypotenuse can be obtained using Pythagorean theorem.

i.e. 11² + 11² = (hypotenuse)²

i,.e. (hypotenuse)² = 121+121 =242

Therefore, hypotenuse = √242 = 15.6

Hence, the measure of the hypotenuse of the square is 15.6

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-2.75 + 8.25 shown work pls

Answers

Answer:

5.5

Step-by-step explanation:

Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.

4. Isaiah wants to save up money to buy new Nikes. He already has $40 in
the bank. He works a night job for $7.50 an hour. Write an equation that
represents how much money Isaiah will have in the bank, m, based on the
number of hours he works, h. *
Your answer
!
This is a required question

Answers

Answer:

£976

Step-by-step explanation:

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