Answer:
12
Step-by-step explanation:
So 4:5:6 = 45
4+5+6 = 15
45/15 = 3
Since 4 is the smallest, 4*3 = 12.
Hope this works!
Answer: 
Step-by-step explanation:
Let n= Number of packs John needs.
Tiles in 1 pack = 6
Tiles in <em>n</em> pack = <em>6n</em>
If he needs at least 100 tiles.
then
6n ≥ 100

The required inequality: 
Answer:
they will have 32 baskets of fruit
1 hour
Step-by-step explanation:
andrews equation is y = x + 15
emilys equation is y = 3x + 13
when x = 1, andrew has 1+15 = 16, and emily has 3+13 = 16
Answer:
A. 1/(n(n+2)) = (1/2)/n - (1/2)/(n+2)
B. 14651/19800
Step-by-step explanation:
<h3>A.</h3>
The coefficients of the partial-fraction expansion can be found from ...
f(n) = 1/(n(n+2)) = A/n +B/(n+2)
n·f(x) = 1/(n+2) = A +Bn/(n+2)
For n=0, this becomes ...
1/(0 +2) = A = 1/2
__
Similarly, ...
(n+2)·f(n) = 1/n = A(n+2)/n +B
For n = -2, this becomes ...
1/(-2) = B = -1/2
The n-th term can be written ...
1/(n(n+2)) = (1/2)/n - (1/2)/(n+2)
__
<h3>B.</h3>
The sum is ...
1/(1·3) +1/(2·4) +1/(3·5) +... +1/(98·100)
= 1/2(1/1 -1/3 +1/2 -1/4 +1/3 -1/5 +... +1/98 -1/100)
= 1/2((1/1 +1/2 +1/3 +...1/98) -(1/3 +1/4 +1/5 +...+1/100)
We notice that terms 3..98 cancel, so the sum is ...
= 1/2(1/1 +1/2 -1/99 -1/100) = (1/2)(3/2 -199/9900)
= 14651/19800