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Nana76 [90]
3 years ago
15

Can anybody explain how to turn percentages to fractions or fractions to percentages, and diving and dividing decimals and study

ing tips thank you.
Mathematics
2 answers:
Ainat [17]3 years ago
5 0

Converting fractions, decimals, and percents

When we talk, we often use different words to express the same thing. For example, we could describe the same car as tiny or little or small. All of these words mean the car is not big. Fractions, decimals, and percents are like the words tiny, little, and small. They're all just different ways of expressing parts of a whole.

screenshot of 1/2

In this image, each measuring cup has the same amount of juice in it. But we've expressed this amount in three ways: as a fraction, as a percent, and as a decimal. Since they're expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. Any time we see 1/2, we'll know it can also mean 50% or 0.5.

Sometimes it's useful to convert one kind of number into another. For example, it's much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.

Fractions and decimals

Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math. For example, it's easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first.

Converting a fraction into a decimal

Let's convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson.

Step-by-step explanation:

Hope this is understood

scoundrel [369]3 years ago
3 0
You divide the percent by 100 then you would get a fraction
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Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
3 years ago
What’s the domain and range for (2,4) (5,3) (-1,-4) (0,9) (-3,1)
Citrus2011 [14]

Step-by-step explanation: In this problem, we're asked to state the domain and range for the following relation.

First of all, a relation is just a set of ordered pairs like you see in this problem. The domain is the set of all x-coordinates for those ordered pairs. So in this case the domain or D is {2, 5, -1, 0, -3}.

The range is the set of all y-coordinates for those ordered pairs. So in this case our range or R is {4, 3, -4, 9, 1}.

3 0
3 years ago
If the product of two positive fractions a and b is 15/56, find three pairs of possible values for a and b
Andrews [41]

Answer:

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

Step-by-step explanation:

According to the question,

a x b = 15/56

three possible pairs will be as follows:

Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -

15 = 1, 3, 5, 15

56 = 1, 2, 4, 7, 8, 14, 28, 56

As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

fourth possible pairs = (3/8)*(5/7) = 15/56

So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.

4 0
3 years ago
Write and equation for (-1,2) and (0,0)
Natali5045456 [20]
Since the slope is -2 because
x1: -1 x2: 0
y1: 2  y2: 0
y2-y1/x2-x1 = slope (0-2/0+1= -2/1 = -2)

You would havr to change it into point slope form so it would look like this
Y-2 = -2(x+1)
 y-2 = -2x -2
   +2          +2
y = -2x + 0
Hope this helps:)

8 0
3 years ago
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combination value of $8.85. How many of each
stepan [7]

Answer: he has 32 quarters and 17 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that he has in her wallet.

Let y represent the number of nickels that she has in her wallet.

He has 49 coins total. This means that

x + y = 49

the total value of the coins is $8.85. This means that

0.25x + 0.05y = 8.85 - - - - - - - - - - 1

Substituting x = 49 - y into equation 1, it becomes

0.25(49 - y) + 0.05y = 8.85

12.25 - 0.25y + 0.05y = 8.85

- 0.25y + 0.05y = 8.85 - 12.25

0.2y = 3.4

y = 3.4/0.2

y = 17

x = 49 - y = 49 - 17

x = 32

7 0
3 years ago
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