You spend $500 fixing up a bedroom to rent. Your cost for food is $10 per night. Ur family charges $60 per night. Write down equ
1 answer:
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Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
.
Step-by-step explanation:
Let be the amount of ice cream that Catherine's sister ate, in gallons.
- Original amount: 1 gallon.
- What Catherine ate:
gallons.
- What Catherine's sister ate is assumed to be
gallons.
- What's left:
gallons.
Consider the relationship:
.
That is:
.
Add to both sides of this equation:
Substract from both sides:
.
Convert the denominator of all three numbers on the left-hand side to
.
.
In other words, Catherine's sister ate gallons of the ice cream.
Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) =
thus,
Therefore, applying the above property, we get
⇒ (here log = log base 10)
now,
3125 = 5⁵
thus,
⇒
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒
or
⇒ 5
Hence,
log₅(3125) = 5