Answer:
14
Step-by-step explanation:
The least common multiple is a number that both numbers can multiply something to get to, and the smallest possible common one.
Let's try listing out the multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
And the multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Notice that both have the number 14 in common, and it is the first number that they do so. There are lots of other multiples that they have in common too, but 14 is the least.
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.
Answer:
f(x)=50x
Step-by-step explanation:
f(x)= y
y= 50
if x is 1 the answer is 50
if x is 2 the answer is 100
The numbers will just keep getting higher depending on the x value
