Answer:
$3.78
Step-by-step explanation:
find 107%(100%=$54+7%=107%)
54*107/100= $57.78
find the amount of sale tax
57.78-54=$3.78
Answer:
Step-by-step explanation:
a) P (June) = 7/15
b) P (Angad) = 8/15
The answer is 15 cans per minute. Here is how I did it: I know that you need to find how many cans per minute so I divided 5 by itself to get one because you are finding out how many cans per one minute then I did the same to 75 because when doing this type of problem you have to divide the first number which in this case is 75 by the second number which in this case is 5. And when I divided 75 by 5 I got fifteen so 15 cans per minute is the answer. Hope I helped!
<span>25
The number of balls to make an equilateral triangle with the sides of length n is expressed by the formula n(n+1)/2
So to express the number of balls you have is
b = n(n+1)/2 + 4
With the larger arrangement you have
b = (n+1)(n+2)/2 - 3
Both of those qualities are equal to each other, so set an equation where they're equal. Then solve for n
n(n+1)/2 + 4 = (n+1)(n+2)/2 - 3
Distribute the n term on the left
(n^2 + n)/2 + 4 = (n+1)(n+2)/2 - 3
Distribute the /2 on the left.
0.5n^2 + 0.5n + 4 = (n+1)(n+2)/2 - 3
Multiply (n+1)(n+2) on right, then distribute the /2
0.5n^2 + 0.5n + 4 = 0.5n^2 + 1.5n + 1 - 3
Subtract 0.5n^2 + 0.5n from both sides
4 = n + 1 - 3
Add 2 to each side
6 = n
So the original triangle had sides with a length of 6, for a total number of balls of
6(6+1)/2 = 21
with 4 extra giving 25 balls. Let's check with the next larger triangle
7(7+1)/2 = 28
with 3 balls shortage. Which 25 balls would make happen.
So the number of balls in the set is 25</span>
