9514 1404 393
Answer:
D. 210
Step-by-step explanation:
If b is the number of boys in the choir, the ratio of boys to girls is ...
b/150 = 7/5
b = 150(7/5) = 30(7) = 210
There are 210 boys in the choir.
Hello :
all n in N ; n(n+1)(n+2) = 3a a in N or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)
n+1 </span>≡ 1 ( mod 3)...(2)
n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 0×1×2 ( mod 3) : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)
n+1 ≡ 2 ( mod 3)...(2)
n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 1×2 × 3 ( mod 3) : ≡ 0 (mod 3) , 6≡ 0 (mod)
3) n ≡ 2 ( mod 3)...(1)
n+1 ≡ 3 ( mod 3)...(2)
n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 2×3 × 4 ( mod 3) : ≡ 0 (mod 3) , 24≡ 0 (mod3)
The maximum mortgage payment allowed for someone with an annual salary of $83,750 would be $2512.50 per month.
<h2><u>What is the standard 28/36 guidelines?</u></h2>
To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $83,750, the following calculation must be made:
- Annual salary x 36% / months = X
- ((83750 x 36) / 100) / 12 = X
- (3,015,000 / 100) / 12 = X
- 30150 / 12 = X
- 2512.50 = X
Therefore, the maximum mortgage payment allowed for someone with an annual salary of $83,750 would be $2512.50 per month.
Learn more about maths in brainly.com/question/20589209
Jon has y stickers and uses 20
jon=y-20
the sisters share y-20 between 2 of them
therefore each sister receives
(y-20) divided by 2 -- (y-20)/2