First you would do 36/4 and get 9 then you would subtract the exponents 5-3 and the answer would be
9x to the second power
STEP 1:
convert gallons to cups & calculate total number of cups
1 gallon= 16 cups
= 8 gallons * 16 cups/gallon
= 128 cups total
STEP 2:
calculate total cups estimated for 20 guests
= 20 guests * 2 cups/guest
= 40 cups needed for guests
STEP 3:
subtract the difference between step 1 and step 2 to find leftover punch
= 128 cups - 40 cups
= 88 cups leftover
OR
GALLONS LEFTOVER
= 88 ÷ 16 cups/gallon= 5 1/2 gallons
ANSWER: There will be 88 cups or 5 1/2 gallons of punch leftover.
Hope this helps! :)
The given case is an example of permutation problem because the order is important given that you should like the first two songs. The sample space is calculated through the equation,
15P2 = 210
Then, there are 3 songs that you liked, the probability of picking 2 out of them is,
3P2 = 6
Dividing the latter by the earlier result will give us an answer of 1/35.
Answer:
8,9,10
Step-by-step explanation:
Let x-1, x and x+1 be the consecutive integers
(x-1)(x+1) = 5x + 35
x² - 1 - 5x - 35 = 0
x² - 5x - 36 = 0
x² - 9x + 4x - 36= 0
x(x - 9) + 4(x - 9) = 0
(x - 9)(x + 4) = 0
x = 9, -4
