Question

It's due in 15 mins. Please help!! :))​

Answer 1

Answer:

B) m + 7

Step-by-step explanation:

Arithmetic mean(average) of a group of elements is the sum of elements divided by the number of elements

$\boxed{\mathfrak{mean=\frac{sum\:of\:elements}{number\:of\:elements} }}$

Therefore,

Mean of two numbers is sum of those numbers divided by 2

SOLVING FOR X

x is the mean of m and 9.

x = $\frac{m\:+\:9}{2}$

SOLVING FOR Y

y is the mean of 2m and 15.

y = $\frac{2m+15}{2}$

SOLVING FOR Z

z is the mean of 3m and 18

z = $\frac{3m+18}{2}$

Mean of three numbers is the sum of those numbers divided by 3

Mean of x, y and z = $\frac{x\:+\:y\:+\:z}{3}$

• Substituting the values of x, y and z obtained from the above equations:-

mean = $\frac{\frac{m+9}{2} \:+\: \frac{2m+15}{2} \:+\: \frac{3m+18}{2} }{3}$

• all the fractions being summed up have the same denominator, so simply adding the numerators

mean = $\frac{\frac{m+9+2m+15+3m+18}{2} }{3}$

• 2 gets multiplied by 3, causing the denominator to become 6.

mean = $\frac{m+9+2m+15+3m+18}{6}$

mean = $\frac{6m+42}{6}$

• Taking 6 common from the numerator

mean = $\frac{ 6(m+7)}{6}$

• cancelling 6

mean = m + 7

that is option B)

                                 

Hope this helps!

Answer 2

Answer:

Sorry for the spamming, mate!

Are you from the US?

You seem to be a nice chap!

:)

P.S: Your story was great!

Kitten, don't you remember?

Laura, something?

It's a good story!

I've had my eyes on it, let me tell you, it was extraordinary!

It's okay!

Good evening (Shrewsbury).

Good night (India).