Answer:
5 g
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
6 . 10^4 = 6 . 10000 = 60000
6 . 10^2 = 6 . 100 = 600
60000 ÷ 600 = 100
Answer:
Option D is correct
The approximate liquid volume of 5 of these bottles is, 15,000 milliliters.
Step-by-step explanation:
Given the statement: The liquid volume of Eric's water bottle is 3 liters.
Using conversion:
1 liters = 1000 milliliters
Convert 3 liters into milliliters;
using above conversion:
3 liters = 
milliliters.
To find the volume of liquid in 5 of these bottles in milliliters:
Volume of liquid in 1 bottle is, 3000 milliliters.
then;
Volume of liquid in 5 bottles = 
milliliters.
Therefore, approximate liquid volume of 5 of these bottles is, 15,000 milliliters
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
