Given:
Bobby put 1/3 of his lawn mowing money into his savings
He uses the remaining 2/5 to buy a video game.
He has $12 left.
To find:
The amount did he have at first.
Solution:
Let x be the initial amount.
Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is
He uses the remaining 2/5 to buy a video game. Then the remaining amount is
It is given that the remaining amount is $12.
Divide both sides by 2.
Therefore, Bobby have $30 at first.
Answer:
75%
Step-by-step explanation:
We know that the quarterback has completed 30 of 40 passes. This means that the ratio of completed passes to total passes is 30:40. Converting this to a fraction, we get 30/40, which can be simplified to 3/4. 3/4 as a percentage is 75%. Therefore, the final answer is 75%.
Answer:
The inequality 14
Cecil had 14 boxes of lightbulbs when he started
I think not 100% sure
Step-by-step explanation:
Hope this helps :)
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
