Answer:
a=3 and b=-2
Step-by-step explanation:
We are given that five terms of a quadratic sequence are
1 8, 21, 40, 65.
The nth term of this sequence
=
We have to find the value of a and b where a and b are integers.
For n=1
......(1)
For n=2
.....(2)
Subtract equation (1) from (2) we get
Using the value of a=3 in equation (1)
Hence, the value of
a=3 and b=-2
Volume of 1st aquarium = 11 * 13 * 14 = 2002
volume of 2nd aquarium = 21 * 14 * 30 = 8820
if 5 minutes = 2002
1 minute = 2002\5 = 400.4
minutes to fill the 2nd aquarium is 8820/400.4 = 22.028(approximately)
Answer:
8 pieces of paper
Step-by-step explanation:
Since the paper was cut into two, divide the half-pieces by 2 go get the amount of full-sized paper. And since Shanie got 2 more pieces of paper before she started, you subtract 2 from 10, which leaves you with 8 pieces of full-sized paper.
Answer:
The perimeter of the dog run will use 67.2 feet of fencing.
Step-by-step explanation:
First find how long the width is.
24 * 2/5 = 9.6
The width of the fence is 9.6 feet.
To find the total perimeter, add double the length and width.
24 * 2 = 48
9.6 * 2 = 19.2
48 + 19.2 = 67.2
Answer:
I think 10.5 would be the unit price and 10lbs of potatoes and 2lbs of tomatoes would cost less
Step-by-step explanation:
since tomatoes cost 2 times more I decided to act as he only bought potatoes and in that case he would have bought 22lbs of potatoes so I divided 16.50 by 22 and got .75 then I multiplied it by 10 and got 7.5 as well as multiplied .75 by two to get the price of the tomatoes then I added 7.5+3 to get 10.5
