Answer:
x = 13/3
Step-by-step explanation:
4(8x-3) - 30x = 5(x-5)
Distribute
32x - 12 - 30x = 5x -25
Combine like terms
2x -12 = 5x-25
Subtract 2x from each side
2x-12-2x = 5x-2x -25
-12 = 3x-25
Add 25 to each side
-12+25 = 3x-25+25
13 = 3x
Divide each side by 3
13/3 = x
Answer:
The answer to your question is r = 4 in
Step-by-step explanation:
Data
Volume = 4000 π in³
height = 250 in
radius = ?
Process
1.- Look the formula to calculate the volume of a cylinder
Volume = πr²h
2.- Solve for r²
r² = Volume / πh
3.- Substitution
r² = 4000π / π(250)
4.- Simplification
r² = 16
r = √16
5.- Result
r = 4 in
Answer:
x = 0.19 or x = -0.76
Step-by-step explanation:
Equation: 7²-4x = 2
reordering the equation,
7x²-4x-2 = 0
Applying,
x = [-b±√(b²-4ac)]/2a..................... Equation 1
From the question,
Given: a = 7, b = -4, c = -2
Substitute these values into equation 1
x = [-4±√(-4²-(2×7×-2)]/(2×7)
x = [-4±√(16+28)]/14
x = (-4±√44)/14
Either
x = (-4+√44)/14
x = (-4+6.63)/14
x = 2.63/14
x = 0.19
or
x = (-4-√44)/14
x = (-4-6.63)/14
x = -10.63/14
x = -0.76
(-4/5) / 3 =
-4/5 * 1/3 =
-4/15 mile per minute