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Vika [28.1K]
3 years ago
7

Fatima purchased a new mattress when it was on sale. The sale price was 27% less than the regular price. If the sale price was $

409, what was the original price? (Round your answer to the nearest dollar).
Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

560

Step-by-step explanation:

Let x be the original price

27% off

original price minus discount = new price

x - .27x = new price

.73x = new price

.73x = 409

Divide each side by .73

.73x/.73 = 409/.73

x=560.2739726

To the nearest dollar

x = 560

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An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of three differen
irga5000 [103]

Answer:

360

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavours, 1 topping, and 1 cone, we are going to use the rule of multiplication:

             6          *        5             *           4           *          3             = 360

      1st flavour           2nd flavour  topping              cone

Because first, we have 6 possible options for the flavour, then we only have 5 possible options for the 2nd flavour. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavours, one topping, and one cone are possible

6 0
3 years ago
Determine the formula, in terms of x, that best describes the area of the plot.​
liq [111]

The area of a plot is the amount of space on the plot

The area of the plot is 2x^2 -x - 1

<h3>How to determine the area</h3>

The dimensions of the plot are given as:

Length=2x+1

Width=x-1.

The area of the plot is the product of its dimension.

So, we have:

Area = (2x + 1)(x - 1)

Expand

Area = 2x^2 - 2x + x - 1

Evaluate the like terms

Area = 2x^2 -x - 1

Hence, the area of the plot is 2x^2 -x - 1

Read more about areas at:

brainly.com/question/24487155

4 0
2 years ago
Which rational number equals 0 point 4 with bar over 4?
Ulleksa [173]
<h3>Answer:   4/9</h3>

==============================================

Work Shown:

x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\

The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9

6 0
3 years ago
There are 841,726 people living in a city in Africa. What is the order of magnitude of this number?
Lina20 [59]

Answer:

6

Step-by-step explanation:

There  6 digits in this number so its of magnitude 6.

8 0
4 years ago
33 1/3% of 360 please help I don’t understand
Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0
3 years ago
Read 2 more answers
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