All categories

3 years ago

You buy a sweater for $32, which is 30% off the original price. what was the original price?

Mathematics

1 answer:

Nataliya [291]3 years ago

8 0

Answer:

45.71 = original price

Step-by-step explanation:

The sale price is equal to the original price minus the discount

sale price = original price - discount

The discount is equal to the original price times the percent off

discount = original price * percent off

Substitute into the first equation

sale price = original price - original price * percent off

Factor out the original price

sale price = original price (1-percent off)

We know the sale price=32 and the discount = 30% = .3

32 = original price (1-.3)

32 = original price (.7)

Divide each side by .7

32/.7 = original price (.7)/.7

45.71 = original price

You might be interested in

Solve for X. 6x – 9 = -27

MissTica

Answer:

x = -3

Step-by-step explanation:

6x - 9 = -27 (Given)

6x = -18 (Add 9 on both sides.)

x = -3 (Divide 6 on both sides.)

6 0

3 years ago

Read 2 more answers

Giant is selling Doritos 2 family bags for 7.00 I’m buying them for the class to celebrate great test scores if I buy 13 bags ho

elena55 [62]

$45.50
2 bags = $7
13 bags=?
7÷2=3.5
3.50=1 bag
$3.50 × 13 bags = $45.50 for 13 bags of Doritos

6 0

3 years ago

A runner starts from rest and accelerates uniformly to a speed of 8.0 meters per

ivanzaharov [21]

2 m/s²

Step-by-step explanation:

Step 1:

Let the initial velocity be 0 m/s and the final velocity be 8 m/s and the time traveled is 4 s.

From the basic science,

Acceleration = ( Final Velocity - Initial Velocity) / Time

Step 2:

Acceleration = (8-0)/4

2 m/s²

4 0

3 years ago

7.6.35 Question Help A pilot can travel 400 miles with the wind in the same amount of time as 352 miles against the wind. Find t

Law Incorporation [45]

9514 1404 393

Answer:

21 miles per hour

Step-by-step explanation:

Let w represent the wind speed. Then the travel time is ...

400/(329 +w) = 352/(329 -w)

400(329 -w) = 352(329 +w)

(352+400)w = 329(400 -352)

w = (400 -352)/(400 +352)·329 = 48/752·329 = 21

The wind speed is 21 miles per hour.

5 0

2 years ago

It takes 4 3/8 cups of cheese,7/8 cups of olives,and 2 5/8 cups of sausage to make a signature pizza. How much cheese is needed

Crank

$43\frac{3}{4}$ cups of cheese is needed to make 10 pizzas.

Explanation

For making one pizza, amount of cheese needed = $4\frac{3}{8}$ cups = $\frac{35}{8}$ cups.

Now for finding the total amount of cheese needed to make 10 pizzas, we need to multiply $\frac{35}{8}$ cups by 10.

So, $(\frac{35}{8}*10)cups= \frac{350}{8}cups= \frac{175}{4}cups= 43\frac{3}{4} cups$

Thus, $43\frac{3}{4}$ cups of cheese is needed to make 10 pizzas.

0 0

3 years ago