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2 years ago

Explain how percents, fractions, and decimals are related.

Mathematics

2 answers:

ahrayia [7]2 years ago

7 0

They are each different numerical expressions of the exact same value

STatiana [176]2 years ago

5 0

So, the relationship between fractions, decimals and percents is that they are simply different numerical expressions of the same value.

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Select the correct answer.

masha68 [24]

Answer:

Option C

Step-by-step explanation:

We want to know the percentage of women among people who only prefer exercise.

We have the following information:

Diet Only Exercise Only Diet and Exercise

Men 7 28 15

Women 22 18 10

Then we get the total of people who prefer just exercise.

$28 + 18 = 46$

Now the proportion of women who only prefer exercise is calculated as:

$w = \frac{18}{46}\\\\w = 0.39$

Therefore we must search among the options the table that shows a proportion of 39 for women who prefer only the exercise.

This table is in option C.

Diet Only Exercise Only Diet and Exercise

Men 0.24 0.61 0.60

Women 0.76 0.39 0.40

3 0

2 years ago

Find the value of x.

aleksandr82 [10.1K]

the sum of all interior angles in a polygon is

180( n - 2)

n = number of sides

now, this polygon is a quadrilateral, so it has 4 sides, so it's total is just 180( 4 - 2) = 360.

$360=x+4x+3x+2x\implies 360=10x\implies \cfrac{360}{10}=x\implies 36=x$

5 0

2 years ago

Read 2 more answers

A submarine dove at a rate of 18 feet per minute. What was the depth of the submarine after 15 minutes?

Juliette [100K]

So you’re basically multiplying 18 and 15. It’s going to be 270 ft

7 0

2 years ago

A company is selling toothpicks. It costs $0.01 to produce each toothpick and a fixed cost of $60 a month for the company. If th

Lapatulllka [165]

Answer:

6,000 toothpicks

Step-by-step explanation:

In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.

What we do is this!

Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.

First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x

Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.

Now revenue from sales for x toothpicks at $0.02 each is $0.02x

Since we are looking to Breakeven, we equate the costs to the revenue.

0.01x + 60 = 0.02x

0.02x-0.01x = 60

0.01x = 60

x = 60/0.01 = 6,000 toothpicks

6 0

3 years ago

What’s the missing factor?

Vesna [10]

The missing factor is 1 5/8

Step-by-step explanation:

Let us consider the missing factor has 'x'

The given expression is 4 1/2 - x = 2 7/8

To find x :

The first step is to bring all the constant terms on on side and x on the other side,

⇒ 4 1/2 - 2 7/8 = x

Now, the numbers are in improper fraction (mixed fraction). So you have to convert them into proper fraction.

To convert the improper fraction 4 1/2 into proper fraction,

Multiply the denominator 2 with 4 and the result 8 is added with the numerator 1.

⇒ 4 1/2 = 9/2.

To convert the improper fraction 2 7/8 into proper fraction,

Multiply the denominator 8 with 2 and the result 16 is added with the numerator 7.

⇒ 2 7/8 = 23/8.

Now replace them in the given expression. The expression becomes as :

⇒ (9/2) - (23/8) = x

Cross multiply 2 and 8,

⇒ (72 - 46) / 16 = x

⇒ 26 / 16 = x

⇒ 13/8 = x

The x value is 13/8. You have to convert it into mixed fraction (since the question is given in the form of mixed fraction).

To convert into mixed fraction,

Divide 13 by 8 and write them in the form of Quotient (Reminder / Divisor).

⇒ 13 ÷ 8

⇒ 1 (quotient)

⇒ 5 (remainder)

The divisor is 8.

Therefore, x = 13/8 can be written as 1 5/8.

The missing factor is 1 5/8.

8 0

3 years ago