How do you solve 2/3=m/42

Answers

Answer 1
Answer: (2)/(3) =  (m)/(42) \n \n  (2)/(3) * 42 = m \ / \ multiply \ each \ side \ by \ 42 \n \n  (84)/(3) = m \ / \ simplify \n \n 28 = m \ / \ simplify \n \n m = 28 \ / \ change \ sides \n \n

The final result is m = 28.
Answer 2
Answer: 2/3 = m/42

m/42 = 2/3
*42       *42

2/3 * 42/1 = 84/3 = 28

m = 28

Answer: m = 28

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Write an expression to match the words " three times the sum of 8 and 4".

Answers

Answer: "Three times the sum of 8 and 4":3* (8+4)

Explanation:

In the question we have asked that what will be the mathematical expression for the " three times the sum of 8 and 4".

We have asked with 'Three times the sum of 8 and 4' which means that adding the sum of number '8' and number '4' by three times.

We can write 'Three times the sum' mathematically as '3 * (\text{sum of numbers})'.

We can write 'sum of 8 and 4' mathematically as '8+4

So the final expression comes out to be: 3*(8+4)




3(8+4) is your expression

Find the slope of the line through each pair Of points.1. (1,5) and (2,8)
2. (3,1) and (3,-1)

Answers

In order to find the slope between a set of points you must plug the points into the point slope formula ;  ( y2-y1 / x2-x1 )

Once you plug that in you should get the final answers of 

1. slope = 3

2. slope = -2/0 which is undefined which means this slope would be part of a vertical line

Solve the equation 4p+9+(-7p)+2=

Answers

4p+9-7p+2=
group like terms
4p-7p+9+2
addd like terms
-3p+11
that is simplified form

Reggie ate 31 raisins. Which correctly describes 31 as a prime or a composite number and tells the number of factor pairs 31 has? You're choices are: A-31 is a prime number because it has 0 factor pairs. B-31 is a prime because it has 1 factor pair. C-31 is a composite number because it has 1 factor pair. D-31 is a composite number because it has 2 factor pairs.

Answers

Answer:

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Step-by-step explanation:

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Final answer:

The number 31 is a prime number and has exactly one factor pair which is 1 and the number itself, so the correct answer is option B.

Explanation:

The value 31 is considered a prime number.

A prime number is a number that only two distinct positive divisors: 1 and itself. Therefore, every prime number has exactly one factor pair, which is 1 and the number itself.

So, option B-31 is a prime because it has 1 factor pair is the correct answer. This means that the factors of 31 are simply 1 and 31.

so the correct answer is option B.

Learn more about Prime Numbers here:

brainly.com/question/30358834

#SPJ12

Out of 1,100 discs tested, 13 are defective. Estimate the number of defective discs in a batch of 41,000.

Answers

This is a simple proportion

1100 : 13 = 41000 : x

For every 1100 discs, 13 are defective, meaning that there will be an X number for each 41000

13 * 41000 = 1100 * x

13 * 410 = 11 * x
5330 = 11 * x
x = 5330/11
x = 484.5

That means that for every 41000, approximately 485 discs will break down.

Answer:

x = 484.5

That means that for every 41000, approximately 485 discs will break down

Solve for c.|c- 2| >3
Write a compound inequality like 1 3. Use in tegers, proper
fractions, or improper fractions in simplest form.

Answers

Answer:

To solve the inequality |c-2| > 3, we need to consider two cases:

c-2 > 3

c-2 < -3

For the first case, we add 2 to both sides of the inequality to get:

c > 5

For the second case, we add 2 to both sides of the inequality and multiply by -1 to get:

-c > -1

c < 1

Therefore, the solution to the inequality |c-2| > 3 is:

c < 1 or c > 5

This is a compound inequality that can be written as:

1 < c or c > 5

I hope this helps!