For x = ay - bz:
Add bz to both sides:
ay = x + bz
Divide a on both sides:
y = (x + bz)/a
For xy + yz = 10:
Distribute y from the left side:
y * (x + z) = 10
Divide by x + z:
y = 10/(x + z)
For (ab - ac)/z = x:
Multiply by z on both sides:
ab - ac = xz
Take out a from the left side:
a * (b - c) = xz
Divide by b - c on both sides:
a = xz/(b - c)
Answer:
x1= -7 , x2 = 7
Step-by-step explanation:
x^2 = 37 +12
x^2 = 49
x = -7 or 7
Answer:
9 cans of tomato soup
Step-by-step explanation:
We are told that only cans of tomato soup and cans of chicken soup are put on the shelf.
Now, we are told that the ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17.
In fraction, this is 8/17
Now, this implies that there are 8 cans of chicken noodle soup while there are a total of 17 cans on the shelf.
Thus,
Since only cans of chicken noodles and cans of tomato soup are on the shelf, it means;
Cans of tomato soup = 17 - 8 = 9
It is.................x+y=5
This is a question of proportions:
First we can work out how many feet it goes up for each feet he steps back:
5.5/6 ft per each feet he steps back.
Now we can multiply this by the amount of ft back the cliff is:
(5.5/6)*30 = 27.5 ft
Thus the cliff is 27.5 ft tall,
Hope this helps :)
