Answer:
18 hours
Step-by-step explanation:
$1476 / $82 = 18
18 hours
Answer:
Kate's possible hourly rate of pay: $34.75
Hours of overtime: 100
Step-by-step explanation:
In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:
1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.
Combine like terms: 1872x + 200x = 72000 or 2072x = 72000
Divide both sides by 2072: 2072x/2072 = 72000/2072
Solve for x: x = $34.75
Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:
1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002
The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.
Do the problem 440×7.5 to find your answer
Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:



Amount of sand used is the volume (V1) and it is calculated using;


Since the pyramid has the same base area and height as the prism, the its dimension would be:



Amount of sand used is the volume (V2) and it is calculated using;

So, we have:


Substitute lwh for V1 in the second equation

Multiply both sides by 3


Reorder


<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>
Answer:
Convenience sampling
Step-by-step explanation: