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.
Using the x and y intercepts from the graph to find the slope of the line:
slope = (0 - 2) / (4 - 0)
slope = -1/2
Using the point-slope form:
y - 0 = -1/2 (x - 4)
-2y = x - 4
4 = x + 2y
Coefficient of x is 1 and coefficient of y is 2.
Find the GCF of 15 and 35
15=3*5
35=7*5
The Greatest Common Factor here is 5
Divide both the numerator and denominator by this value to get the simplest form.
15/5=3
35/5=7
Final answer: 3/7
Answer:
B
Step-by-step explanation:
Answer:
10 ÷ 16
Step-by-step explanation:
The computation is shown below
Given that
Paul required to buy 5 by 8 pound of peanuts
And, the scale at the store is in sixteenths
So, the measure that should be equivalent is
Here the denominator should be 16 so it should be multiplied by 2
= 5 ÷ 8 × 2 ÷ 2
= 10 ÷ 16
