Answer:
Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200
Step-by-step explanation:
We have given number of students = 10
These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad
So number of ways to assigned single student ![=^{10}C_1=\frac{10!}{1!9!}=10\\](https://tex.z-dn.net/?f=%3D%5E%7B10%7DC_1%3D%5Cfrac%7B10%21%7D%7B1%219%21%7D%3D10%5C%5C)
Now left student = 10 -1 = 9
So number of ways to assigned double student ![=^{9}C_2=\frac{9!}{2!7!}=36](https://tex.z-dn.net/?f=%3D%5E%7B9%7DC_2%3D%5Cfrac%7B9%21%7D%7B2%217%21%7D%3D36)
Now left student = 9-2 = 7
So number of ways to assigned triple student
=70
Now left student = 7 - 3 = 4
So number of ways to assigned quad student ![=^{4}C_4=\frac{4!}{4!0!}=1](https://tex.z-dn.net/?f=%3D%5E%7B4%7DC_4%3D%5Cfrac%7B4%21%7D%7B4%210%21%7D%3D1)
So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200
Answer:
280 miles
Step-by-step explanation:
First you multiply 15 x 4= 60 gallons. You then multiply 4 x 70=280 miles
Hope this helps!
Answer:
$125,263.10
Step-by-step explanation:
In order to calculate the total amount that each one of the children will receive we simply need to divide Mr. Jordan's total savings by the total amount of children that he has. This will evenly divide his savings to the children so that each one has the exact same amount.
501,052.40 / 4 = 125,263.10
Therefore, each of the four children will receive a grand total of $125,263.10
answer:
statements
1. <5 = <6
2. <4 + <5 = 180
3. <4 + <6 = 180
reasons
1. given
2. definition of linear pair
3. substitution
step-by-step explanation:
- i have written the statements and reasons seperately so just put them in the order i have
- in a proof we always put the given first
- now, we can see that <4 and <5 are "together" in a straight line, therefore they are linear pairs
- linear pairs add up to 180 (always)
- now that we have that, we can use susbtitution to get the answer want/prove what we want to prove