Answer: 7
Step-by-step explanation:
8x +5 = 61
subtract 5 from both sides
8x = 56 divide both sides by 8 to get x by itself
x= 7
Answer:
$750 per year
Step-by-step explanation:
The farmer saves $250 in four months. You need to find out how much he makes in a year. There are 12 months in a year. Multiply the amount he saves by 3.
$250 × 3 = $750
The farmer saves $750 per year.
If one inch = 2.54 centimeters, then 45 centimeters divided by 2.54 centimeters will give you the amount of inches the piece of wood needs to be.
45/2.54 = 17.72 ---- Rounded to the nearest quarter, would be 17.75 inches.
He can play his game 12 times
Explanation: 105-63=42
42 divided by 3.5=12
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
=============================================
Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
--------
Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
