Answer:
46
Step-by-step explanation:
5x = 3x - 2 + 34
5x = 3x + 32
2x = 32
x = 16
plug back in
3( 16 ) - 2
48 - 2
46
Answer:
0.006 miles per hour
Step-by-step explanation:
We are given;
Speed in cm per minute ( 17 cm per min)
We are required to convert cm per minute to miles an hour
we need to know that;
1 miles = 160934 cm
1 hour = 60 minutes
We can convert 17 cm to miles and 1 minute to hours
17 cm = 17 ÷ 160934 cm
= 17/160934
1 minute = 1/60 hour
Therefore;
In miles per hour;
= (17/160934) ÷ (1/60)
= 0.00634 miles per hour
= 0.006 miles per hour
Therefore, 17 cm per minute is equivalent to 0.006 miles per hour
Answer:
The team can be formed in 756 different ways
Step-by-step explanation:
This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.
for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.
![nCr = \frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=nCr%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;
![7C2 * 9C2](https://tex.z-dn.net/?f=7C2%20%2A%209C2)
![7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36](https://tex.z-dn.net/?f=7C2%20%3D%20%5Cfrac%7B7%21%7D%7B5%212%21%7D%20%5C%5C%3D%20%5Cfrac%7B7%2A6%2A5%21%7D%7B5%21%2A2%7D%20%5C%5C%3D%207%2A3%5C%5C%3D%2021ways%5C%5C%5C%5Csimilarly%3B%5C%5C%5C%5C9C2%20%3D%20%5Cfrac%7B9%21%7D%7B7%212%21%7D%5C%5C9C2%3D%20%5Cfrac%7B9%2A8%2A7%21%7D%7B7%21%2A2%7D%20%5C%5C9C2%20%3D%209%2A4%5C%5C9C2%20%3D%2036)
7C2 * 9C2 = 21*36
= 756
The team can be formed in 756 different ways
You have to find a common denominator 1st then add. So 16 is the common denominator the problem should be 2 7/16+1 14/16+8-16= 3 29/16 then you need to divide 29/16 you will have 4 13/16
The answer in order is b a c