Lets x = the amount Sheila's deposit each time
So 6 deposits = 6x
Sheila's sister deposits was $10 more each deposit Sheila made, then her sister deposit amount each time should be: x +10
Sheila's sister made 5 deposits: 5(x+10)
Both sisters deposited the same amount in the end:
6x = 5(x+10)
6x = 5x + 50
Now you can add (-5x) to both sides:
6x + (-5x) = 5x + 50 + (-5x)
6x - 5x = 5x + 50 - 5x
Simplify both sides:
x = 50
So Sheila deposits each time: $50
Sheila's sister deposits each time: x + 10 = 50 +10 = 60
Double check:
Sheila deposits 6 times = 6 x 50 = 300
Sheila's sister deposits 5 times = 60 x 5 = 300
Both deposited $300 (same amount) in the end.
Answer:
C. O.5s
Step-by-step explanation:
If the wave length is 100m and it goes at a speed of 200m/s then it will only take 0.5 seconds because 100 is half of the speed of 200
Answer:
4 packages of AA batteries
6 packages of AAA batteries.
Step-by-step explanation:
Let the number of packages of AA batteries bought be x
Let
the number of packages of AAA batteries bought be Y
He Brought 10 packages of AA and AAA
thus,
x+y = 10 equation 1
Given
The AA batteries are sold in packages of 6, it means one packet contains 6 batteries
Thus,
Total number of AA batteries in x packages = 6x
The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries
Thus,
Total number of AAA batteries in y packages = 8y
Given total no. of batteries is 72
thus
6x + 8y = 72 equation 2
x+y = 10
y = 10-x ---using this in equation 2
6x + 8(10 - x) = 72
=> 6x + 80 - 8x = 72
=> -2x = 72-80 = -8
=> x = -8/-2 = 4
y = 10 -x = 10 -4 = 6
y = 6
Thus,
he bought 4 packages of AA batteries
6 packages of AAA batteries.
Answer:
b and d
Step-by-step explanation:
Answer:
89.44
Step-by-step explanation:
![120^2-80^2=8000](https://tex.z-dn.net/?f=120%5E2-80%5E2%3D8000)
![\sqrt{8000} = 89.44](https://tex.z-dn.net/?f=%5Csqrt%7B8000%7D%20%3D%2089.44)