I need help please

A computer can execute 64 instructions per second. How many instructions can it execute in 10 minutes?

Multiply 3 1/6 x 9/11 x 6/17. Write the answer in simplest form

Divide 6/25 / 2/15. Write the result in simplest form.

64 * 60 * 60 * 10 = ?

3 1/6 x 9/11 x 6/17
19/6 * 9/11 * 6/17 = ?
Multiply the numerators and then multiply the denominators. The numerator in the answer is 1026.

6/25 / 2/15
6/25 * 15/2 = ?

I will solve one of the questions only.

A computer can execute 64 instructions per second. How many instructions can it execute in 10 minutes?

Let x = the number of instructions in 10 minutes.

We use the following proportion:

64 instructions/x instructions = 1 second/600 seconds

In short, we can write it this way:

64/x = 1/600

Where did 600 come from?

I multiplied 10 minutes by 60 seconds per minute.

64/x = 1/600

Cross-multiply and solve for x.

x = 64 x 600

x = 38,400

Done!

Multiply 6 by 217. Convert the product to be a mixed number

Sure, I'd be happy to help you with your questions.

1. A computer can execute 64 instructions per second. To find out how many instructions it can execute in 10 minutes, we need to convert minutes to seconds. There are 60 seconds in 1 minute, so 10 minutes would be equal to 10 x 60 = 600 seconds. Therefore, the computer can execute 64 x 600 = 38,400 instructions in 10 minutes.

2. To multiply fractions, you simply multiply the numerators (top numbers) together and then multiply the denominators (bottom numbers) together. After that, you can simplify the resulting fraction if possible. So, multiplying the given fractions:
(3 1/6) x (9/11) x (6/17)

First, convert the mixed fraction (3 1/6) to an improper fraction:
(3 x 6 + 1) / 6 = 19/6

Then, multiply the numerators and denominators together:
(19/6) x (9/11) x (6/17) = (19 x 9 x 6) / (6 x 11 x 17)

Simplifying the fraction (if possible):
19 x 9 x 6 = 1,026
6 x 11 x 17 = 1,122

So, the simplified answer is 1,026/1,122.

3. To divide fractions, you need to multiply the first fraction by the reciprocal (flipped version) of the second fraction. So, dividing:
(6/25) / (2/15)

Multiply the first fraction (6/25) by the reciprocal of the second fraction (15/2):
(6/25) x (15/2) = (6 x 15) / (25 x 2)

Simplifying the resulting fraction:
(6 x 15) = 90
(25 x 2) = 50

So, the simplified answer is 90/50, which can be further simplified to 9/5 or 1 4/5.