Answer: "How many times does 30 go into 100?" is the same as asking "How much is 100 divided by 30?" Thus, the answer can be calculated as follows:
100/30 = 3.33
Step-by-step explanation: HOPE THIS HELP
Y = mx + b
slope(m) = -1/2
(6,-6)....x = 6 and y = -6
now we sub into the formula and find b, the y int
-6 = -1/2(6) + b
-6 = - 3 + b
-6 + 3 = b
-3 = b
so ur equation is : y = -1/2x - 3 <==
Answer:
Step-by-step explanation:
If we let x = the amount of 5% solution and y = the amount of pure alcohol, we can set up that
.05x+y is the amount of alcohol in our resulting mixture, and x+y is the total amount in our resulting mixture (which we know is 380)
so we also know that:
(.05x+y)/380 = .6
If we simplify this we come up with:
.05x+y=228
and we know x+y=380
If we solve this as a system of equations, we will find that:
x=160 ml
y=220 ml
Answer:
1. x = -1.5y
2. 5 (2x-3)
3. p = 4
Step-by-step explanation:
1) Simplifying
7x + 2y + -3x + 4y = 0
Reorder the terms:
7x + -3x + 2y + 4y = 0
Combine like terms: 7x + -3x = 4x
4x + 2y + 4y = 0
Combine like terms: 2y + 4y = 6y
4x + 6y = 0
Solving
4x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
4x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 0 + -6y
4x = 0 + -6y
Remove the zero:
4x = -6y
Divide each side by '4'.
x = -1.5y
Simplifying
x = -1.5y
2)
Common factor
10x - 15
5 (2x-3)
3) Simplifying
5p = 3p + 8
Reorder the terms:
5p = 8 + 3p
Solving
5p = 8 + 3p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-3p' to each side of the equation.
5p + -3p = 8 + 3p + -3p
Combine like terms: 5p + -3p = 2p
2p = 8 + 3p + -3p
Combine like terms: 3p + -3p = 0
2p = 8 + 0
2p = 8
Divide each side by '2'.
p = 4
Simplifying
p = 4
If you would like to know the volume of the cube, you can calculate this using the following steps:
volume = length * width * height
volume = 1 * 1 * 1
volume = 1
The volume of a cube is 1.