What is the next fraction in this sequence? Simplify your answer.

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

17/39

Step-by-step explanation:

The fractions appear to be 9/39, 11/39, 13/39, 15/39, ..., so can be described by ...

(2n+7)/39

so, for n=5, the fraction will be ...

(2·5+7)/39 = 17/39

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3 years ago

A bag contains 4 blue marbles, 2 yellow marbles, and 6 orange marbles. What is the probability of picking an orange marble and t

ikadub [295]

We will see that the probability of picking two orange marbles without replacement is 0.23

<h3>How to get the probability?</h3>

If we assume that all the marbles have the same probability of being randomly picked, then the probability of getting an orange marble is given by the quotient between the number of orange marbles and the total number of marbles, this gives:

P = 6/12 = 1/2

And then we need to get another orange marble, without replacing the one we picked before, this time there are 5 orange marbles and 11 in total, so the probability is:

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3 years ago

What is 11/12 minus 3/8

Mrac [35]

Answer: $\frac{13}{24}$

Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

3. Now, we will work this out.

11/12 = 22/24

3/8 = 9/24

4. Subtract.

22/24 - 9/24

= 13/24

= $\frac{13}{24}$

I found the denomenators by multiplying.

Hope this answer helped!