It would be H because 13 has no factors other than 1, and 13.
Hope this helps!
Answer:
4/5
Step-by-step explanation:
Multiplying the first equation by n, we have an expression for m:
m/n = 5
m = 5n
Substituting this into the second equation, we have ...
4n/m = 4n/(5n)
4n/m = 4/5
Answer:
- 152 men
- 76 women
- 38 children
Step-by-step explanation:
The ratios given are ...
men : women : children = 4 : 2 : 1
The total number of ratio units is 4+2+1 = 7, so each unit stands for 266/7 = 38 persons.
Then the numbers of each were ...
men : women : children = 4·38 : 2·38 : 1·38 = 152 : 76 : 38
There were 152 men, 76 women, and 38 children.
Answer:
The pairs are (13,15) and (-15,-13).
Step-by-step explanation:
If n is an odd integer, the very next odd integer will be n+2.
n+1 is even (so we aren't using this number)
The sum of the squares of (n) and (n+2) is 394.
This means
(n)^2+(n+2)^2=394
n^2+(n+2)(n+2)=394
n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2
Combine like terms:
2n^2+4n+4=394
Subtract 394 on both sides:
2n^2+4n-390=0
Divide both sides by 2:
n^2+2n-195=0
Now we need to find two numbers that multiply to be -195 and add up to be 2.
15 and -13 since 15(-13)=-195 and 15+(-13)=2
So the factored form is
(n+15)(n-13)=0
This means we have n+15=0 and n-13=0 to solve.
n+15=0
Subtract 15 on both sides:
n=-15
n-13=0
Add 13 on both sides:
n=13
So if n=13 , then n+2=15.
If n=-15, then n+2=-13.
Let's check both results
(n,n+2)=(13,15)
13^2+15^2=169+225=394. So (13,15) looks good!
(n,n+2)=(-15,-13)
(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!
