1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
Answer:
1/6 or 25
Step-by-step explanation:
1/3=10/30
3/10=9/30
1/5=6/30
together is 25/30, which leaves the rest, 5/30 or 1/6 or 25 cookies.
Answer:
The answer is $668.00
Step-by-step explanation:
Just add 200 to how much you will pay over time. So first multiply 39 by 12 (12 months in a year, 39 per month,) to find out how much you will pay by the end of the year then add 200 to that.
Answer:4320cm
Step-by-step explanation:
(length of the arc)/(length of the radius)=central angle
lengthof the arc/20=216
lengthof the arc=216×20
length of the arc=4320cm
Answer:
n squared - 10n + 24
Step-by-step explanation:
