Answer:
n = 3
Step-by-step explanation:
We use log to find <em>n.</em>
log₂(8) = 3
2³ = 8
Answer:
(a) 1.5 inches
(b) 2.5 inches
(c) 5 inches
Step-by-step explanation:
speed of first turtle = 4 1/2 inches per minute = 9/2 inches per minute
speed of the second turtle = 5inches per minute
distance = speed x time
(a) Distance traveled by first turtle in 3 minutes
s = 9/2 x 3 = 13.5 inches
distance traveled by second turtle in 3 minutes
s' = 5 x 3 = 15 inches
So, the gap is
s'- s = 15 - 13.5 = 1.5 inches
(b) Distance traveled by first turtle in 5 minutes
s = 9/2 x 5 = 22.5 inches
distance traveled by second turtle in 5 minutes
s' = 5 x 5 = 25 inches
So, the gap is
s'- s = 25 - 22.5 = 2.5 inches
(c) Distance traveled by first turtle in 10 minutes
s = 9/2 x 10 = 45 inches
distance traveled by second turtle in 10 minutes
s' = 5 x 10 = 50 inches
So, the gap is
s'- s = 50 - 45 = 5 inches
She is 12 feet above the ground.
Answer:
Simplifying
2x + -15 + x + -5 = 148
Reorder the terms:
-15 + -5 + 2x + x = 148
Combine like terms: -15 + -5 = -20
-20 + 2x + x = 148
Combine like terms: 2x + x = 3x
-20 + 3x = 148
Solving
-20 + 3x = 148
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 3x = 148 + 20
Combine like terms: -20 + 20 = 0
0 + 3x = 148 + 20
3x = 148 + 20
Combine like terms: 148 + 20 = 168
3x = 168
Divide each side by '3'.
x = 56
Simplifying
x = 56
Answer:
144 round balloons and 108 long balloons
Step-by-step explanation:
6 times 24 = 144
3 times 36 = 108