Answer:
0.37 as a fraction is 37/100
Step-by-step explanation:
Because
Step-by-step explanation:
let no. of hours be x.
45x - 12 ≥ 117
45x ≥ 129
x ≥ 2.8667 (5sf)
therefore, 3 hours (round up to next whole number).
Topic: inequalities
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Answer:
x=3
Step-by-step explanation:
Simplifying
4(4x + -3) = 36
Reorder the terms:
4(-3 + 4x) = 36
(-3 * 4 + 4x * 4) = 36
(-12 + 16x) = 36
Solving
-12 + 16x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 16x = 36 + 12
Combine like terms: -12 + 12 = 0
0 + 16x = 36 + 12
16x = 36 + 12
Combine like terms: 36 + 12 = 48
16x = 48
Divide each side by '16'.
x = 3
Simplifying
x = 3
Answer:
99 in³
Step-by-step explanation:
Let the radius and height of each be r and h in. respectively.
Write an equation for the volume of cone.
Volume of cone= ⅓πr²h
⅓πr²h= 33
Multiply both sides by 3:
πr²h= 99
Volume of cylinder= πr²h
We have found the value of πr²h previously, which is 99.
Thus, the volume of the cylinder is 99 in³.