So 15 gallons of gas brought it from 1/8 full to 3/4 full.
Let's change 3/4 to the equivalent fraction 6/8 so that the denominators are the same. (3/4 = 6/8)
So 15 gallons of gas brought it from 1/8 to 6/8 Those 15 gallons must be 5/8 of the tank's capacity 6/8 - 1/8 = 5/8
So 15 is 5/8 of what number? (This will tell us the capacity of the whole tank)
15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8 = 15 x 8/5 = 18
So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.
Check - at first 1/8 full (1/8 of 24 = 3) So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons. Now the tank is 6/8 (3/4 full). The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons) so it will need 6 gallons to fill it up..
Answer: 24km
Explanation: radius is half of the diameter so we just multiply by 2 to get a diameter
Mike's withdrawals will be treated as negative numbers.
Since Mike withdrew $60 three times, use the following equation to find the change in his balance:
The change in Mike's account balance will be
-$180.
Answer:
3/5
Step-by-step explanation:
1/3s=1/5
s=(1/5)/(1/3)
s=(1/5)(3/1)
s=3/5
Answer:
18 3/4
Explanation:
First, we need to convert the mixed numbers into fractions, so:
It means that Shamika worked 25/2 hours last week and this week she worked 3/2 times the hours worked last week. So, to know the number of hours worked this week we need to multiply 25/2 by 3/2 to get:
Then, 75/4 as a mixed number is equal to:
Because when we divide 75 by 4, we get 18 as a quotient and 3 as a remainder.
Therefore, she worked 18 3/4 hours this week.