2 years ago

Question Find the sum. 1/3(9−6m)+1/4(12m−8)

Mathematics

1 answer:

Umnica [9.8K]2 years ago

3 0

The sum of this is =1+m

You might be interested in

In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa

Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

Hence, the required number of ways =27434

5 0

2 years ago

Right triangles 1, 2,

Maru [420]

Answer:

2.2

Step-by-step explanation:

I did it on khan

4 0

3 years ago

the case of napkins contained 45 packs with a total of 10,125 napkins. each napkin contained the same number of napkins. write a

Pavlova-9 [17]

You would need to do 10,125/45 = n, and in which case we just solve.
10,215/45=227, so there are 227 napkins in each box.

Hope this helps and have a nice day:)

7 0

2 years ago

The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $4,500 worth of stocks. How m

AlexFokin [52]

Answer: last week he made $630

Step-by-step explanation:

14% of 4500 is 630

8 0

2 years ago

The current price of bulk organic sugar is $6 per pound, which is 20% more than it used to

sweet [91]

The previous price was $5

7 0

2 years ago