If 3x>96, dividing both sides by 3 we get that x>32, therefore only E is an acceptable answer
Answer:
1 inch
Step-by-step explanation:
The formula for the volume of a cylinder:
V = πr²h, where r=radius and h = height
Using 7.1 for 'V' and 1.5 for 'r' (1/2 of the diameter), we can fill in the values and solve for 'h':
7.1 = π(1.5)²h or 7.1 = 7.065h
h = 1 inch
Answer: A) 1/2
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
If the third term is 20, it means that
T3 = 20 = ar^(3 - 1)
20 = ar²- - - - - - - - - - 1
If the third term is 20, it means that
T5 = 5 = ar^(5 - 1)
5 = ar⁴- - - - - - - - - - 2
Dividing equation 2 by equation 1, it becomes
5/20 = r⁴/r²
1/4 = r^(4 - 2)
(1/2)² = r²
r = 1/2
Take 3.27 and divide that by 1.09 (for the oranges)
3.27/1.09=3lbs. of oranges
then take 4.76 and divide that by 1.19 (for the pears)
4.76/1.19=4lbs. of pears
add 4+3 to get how many lbs. in all
4+3=7
