Answer:
The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.
Step-by-step explanation:
x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours
Then
x + y = 235
5x + 15y = 2375
Just solve these 2 equations above for x and y.
x + y = 235 ⇒ x = 235 - y
Substitute into second equation to find y.
5(235 - y) + 15y = 2375
1175 - 5y + 15y = 2375
10y = 1200
y = 1200/10 = 120
x = 235 - y = 235 - 120 = 115
Answer: The volume of cylinder Q is 12 times the volume of Cylinder P.
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
If cylinder Q has radius, r and height, h,
Then
Volume of cylinder Q = πr²h
For cylinder P,
Height = 3h
Radius = 2r
Volume of cylinder P = π(2r)² × 3h
= 4πr²× 3h = 12πr²h
Therefore, the ratio of the volume of cylinder P to the volume of cylinder Q is
12πr²h/πr²h = 12
Answer:
let the numbet of formal attires with Clara be X
Clara lended susan 1/2 = X/2
Clara buys 4 = X/2 +4
Answer = X/2 + 4
( as the number of formal attires originakly with Clara is not specified)
Sin(-x) is equal to - sin(x)
Therefore, sin(-35) = -sin 35
Your answer is B.