Answer:
Part 1) Helen's age is 32 years old and Jane's age is 24 years old
Part 2) 13 twenty-dollar bills
Step-by-step explanation:
Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
Let
x----> Helen's age
y---> Jane's age
we know that
x=y+8 ----> equation A
(x-20)=3(y-20) -----> equation B
substitute equation A in equation B and solve for y
(y+8-20)=3(y-20)
y-12=3y-60
3y-y=60-12
2y=48
y=24 years
Find the value of x
x=y+8
x=24+8=32 years
Part 2)
Let
x-----> the number of five-dollar bills
y----> the number of twenty-dollar bills
we know that
5x+20y=305 -----> equation A
y=x+4 ------> x=y-4 ------> equation B
substitute equation B in equation A and solve for y
5(y-4)+20y=305
5y-20+20y=305
25y=325
y=13 twenty-dollar bills
Find the value of x
x=y-4
x=13-4=9 five-dollar bills
Answer:
500 boxes
Step-by-step explanation:
<em>hey there,</em>
<em />
< Since "p" stands for profits, change "p" to 0 (since the question says 0 profits).
Here is how your equation would look like:
Pretend like "n" is "x" since that is the variable we are trying to find here.
Solve for "n". Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
"n" actually ends up equaling 500, -200.
Obviously, negative can't be the answer because you can't have a negative amount of boxes. So 500 boxes would be your answer. 200 CAN'T be your answer <em>either </em>because it is a negative!! >
<u>Hope this helped! Feel free to ask anything else.</u>
Answer:
i don't really know soryyyy
Step-by-step explanation:
Part A
The exponential model that describes the situation
The formula is
Y (x)=400 (1+0.02/4)^4x
Y (x)=400 (1+0.005)^4x
Y (x)=400 (1.005)^4x
Where x is the number of years
Part B
The value of the account after 5 years
Y (5)=400×(1.005)^(4×5)
Y (5)=441.96
Answer:
they drink 1.667 gallons a week. it takes about 6.5 days to drink a whole gallon
Step-by-step explanation:
take 10/6 to get 1.667 then how many days would it take to drink 1 whole gallon