The answer is really simple. 3 quarts is more. There are 4 pints in a quart. There are 4 quarts in a gallon.
For this question, we can use proportional reasoning to find out the answer.
Let us call the point at the other end of line and in between the two expressions, D.
Side AB:AC = BD:DC (remember that ratios are the same as division so you can do the exact same thing with division statements instead).
Now substitute: 8:12 = (x+4):(2x+1).
Now solve (if using division instead of ratios, solve regularily for x):
8:12 = (x+4):(2x+1),
8(2x+1) = 12(x+4),
16x+8 = 12x+48,
16x-12x = 48-8,
4x = 40,
x = 10.
Therefore x = 10
Answer:
V=266.45in³
Step-by-step explanation:
V=Sb×h, where Sb is base area and h the height.
Sb=36.5in²
h=Sb/5=36.5/5=7.3in
V=36.5×7.3=266.45in³
Answer:
4th term = 28
5th term = 37
6th term = 45
Step-by-step explanation:
f(n + 1) = f(n) + 8
f(1) = 5
f(1 + 1) = f(1) + 8 = 5+8 = 13
f(2) = 13
f(2 + 1) = f(2) + 8 = 13+8 = 21
Thus, series is 5, 13, 21......
In arithmetic series
Nth term is given by
n th term = a + (n-1)d
where a is the first term
and d is the common difference.
common difference d = nth term - (n-1)th term
For this series
a = 5
lets take nth term as 2nd term and 1st term as (n-1)th term
d = 13-5 = 8
n th term = a + (n-1)d
using the formula for nth term
4th term = 5 + (4-1)8 = 29
5th term = 5 + (5-1) 8= 37
6th term = 5+ (6-1)8 = 45
Thus, 4th term = 28
5th term = 37
6th term = 45
Note this, problem can be solved using f(n + 1) = f(n) + 8 by putting n = 3,4,5 as well but for learning concept of arithmetic series, i have used above process. Hope it helps.