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agasfer [191]
3 years ago
5

In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t

he resulting fraction is equal Vhat was the original 8/12 fraction (not necessarily written in lowest terms)
Mathematics
1 answer:
love history [14]3 years ago
5 0

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12.  Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

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List the first 5 multiples of, find all the factors of 7
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What # do you need the first five multiples for? and the only factors for 7 are one and seven because it is a prime number!
8 0
3 years ago
Read 2 more answers
Find a solution to the system. Make sure to write as a coordinate.
RUDIKE [14]

Answer:

x=2, y=3

Step-by-step explanation:

This is a <u>system of equations</u>.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, x=2y-4, into the value for <em>x</em> in the second equation. Now, the second equation looks like this:

2*(2y-4)+y=7

We simplify and solve for <em>y</em>:

→ 4y-8+y=7

→ 5y=15

→ y=3

Now, we plug in the value for <em>y</em>, which is 3, into either equation. I will just use the first equation:

→ x=2*3-4

→ x = 2

Let me know if my explanation is unclear.

3 0
3 years ago
A study showed that the ratio of the number of people who get their news from social media to the number of people who their new
Kitty [74]

Answer: 240 people get the news from social media

Step-by-step explanation:

The ratio of the number of people who get their news from social media to the number of people who their news elsewhere is 3:7

Total ratio is the sum of the proportion of those that get their news from social media and those that got their news elsewhere.

It becomes 3+7 = 10

Total number of people in the town is 800

To determine the number of people that got their news from social media, we will divide the proportion of those that get their news from social media by the total ratio and multiply by the total number of people in the town. It becomes

3/10 × 800 = 240

6 0
3 years ago
A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was equal to 5.
Diano4ka-milaya [45]

The probability that the larger of the two rolls was equal to 5 is; 2/9

<h3>Probability of possible outcomes</h3>

The total number of possible outcomes when the dice is rolled twice is 36 outcomes.

Now, for the larger of the two rolls to equal 5, the total number of favourable  outcomes are 8 which are;

(1, 5), (2, 5), (3, 5), (4, 5), (5, 1), (5, 2), (5, 3), (5,4)

Thus, probability that the larger of the two rolls was equal to 5 is;

P(larger of 2 rolls equals 5) = 8/36 = 2/9

Read more about probability of possible outcomes at; brainly.com/question/19916581

8 0
2 years ago
At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?
postnew [5]

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The ratio is ...

  dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5

The ratio of dogs to cats at the shelter is 6 to 5.

6 0
3 years ago
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