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shepuryov [24]
3 years ago
15

A raffle prize of 14x^2/15 dollars is to be divided among 7x people. Write an expression for the amount of money that each perso

n will receive. Show work.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0

Answer: \frac{2x}{15}

Step-by-step explanation:

You know that the raffle prized (in dollars) is given by the following expression:

\frac{14x^2}{15}

Since it is to be divided among 7x people,  you can write the following expression to represent the amount of money that each person will receive:

\frac{14x^2}{15(7x)}

Finally, simplifying this expression, you get:

=\frac{7x(2x)}{15(7x)}=\frac{2x}{15}

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How many 1/8 teaspoons are equal to 4 3/4 teaspoons?
Vinvika [58]

1. Convert fraction into same decimal.

To find this answer, we want to first convert the fraction so that the denominators are the same:

3/4 = ?/8

Divide the original denominator by the needed-to-be denominator.

8 / 4 = 2

Do reversal calculations

4 x 2 = 8

So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.

3           6

_  x 2 = _

4           8

So now, the new equation is:

How many 1/8 teaspoons are equal to 4 6/8 teaspoons.

(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.

2. Convert the whole numbers into a fraction to make it easier.

In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.

?/8

Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.

8/8 = 1

Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.

32/8 = 4

3. Add all your information together.

DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.

32 / 8 + 6 / 8 = ?

32 / 8 + 6 / 8 = 38 / 8

Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.

Now, all you need to do is look at the numeriator.

What number do you see?

You see 38.

The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.

So, how many 1/8 are in 38/8?

38!

5 0
3 years ago
- 16 = -4(-5+ i)<br> Please help i can’t fail this test
Simora [160]

<em>Answer: i=9</em>

<em />

<em>Step-by-step explanation:</em>

<em>-16=-4(-5+i)</em>

<em>-16=20-4i</em>

<em>-20 -20</em>

<em>-36=-4i</em>

<em>Divide by -4 </em>

<em>i=9</em>

7 0
2 years ago
Read 2 more answers
Which graph shows a strong negative correlation
postnew [5]
The one with the steepest slope going down from left to right
7 0
2 years ago
The equation F equals 9/5C + 32 relates temperature measured in degrees Celsius, C, to degrees F, Fahrenheit. Determine whether
muminat

Answer: There is none.

Step-by-step explanation:

There is no proportional relationship between Celsius and Fahrenheit because for a proportional relationship to exist, the two variables need to have an equivalent ratio between them which would ensure that their values vary constantly when they are either divided or multiplied.

In other words, only the arithmetic operations of multiplication and division should be present. In the above there is an additive operation which renders the two variables being Fahrenheit and Celsius, non-proportional.

6 0
2 years ago
Consider the following figure:
trasher [3.6K]

Answer:

C(cone with a radius of 8 units)

Explanation:

When a triangle is spun around its center, it makes a cone (can't make a cylinder because when spun, it doesn't have 2 circular bases). The radius would be 8 because that is what makes the circular base. The 6 is just the height of the triangle and cone once it is spun, it doesn't have anything to do with the base and its radius.

4 0
2 years ago
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