Answer:
The GCF is 18
Step-by-step explanation:
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
Then the greatest common factor is 18.
Answer:
sqrt(41)
Step-by-step explanation:
Using pythagoras theorem
Answer:
$20 per clock
Step-by-step explanation:
A shipment has:
Fixed Cost = 225 (one time)
Variable Cost = 11 per clock
If there are x clocks in a shipment, total cost would be:
Total Cost = Fixed + Variable
Total Cost = 225 + 11x
If there are 25 clocks in a shipment (x = 25), the total cost would be:
Total Cost = 225 + 11(25) = $500
To break even, you must raise $500 from the 25 clocks, so how much would you need to charge??
500/25 = $20 per clock
Answer:
b. 13
Step-by-step explanation:
163-9=154 to get the amount of people coming
154÷12=12.833 is the amount of tables needed if each seat 12 and 154 people are coming
round up to 13 because you cant have 12.833 tables
Answer:
- The lines are parallel.
- The slopes are equal.
- The y-intercepts are different.
- The system has no solution.
Step-by-step explanation:
If the first equation is multiplied by 1.5, it will be transformed into the dependent equation
12x +15y = 45
This is different from the second given equation, so that 2nd equation is not dependent upon the first. Rather it is the equation of a line parallel to the first. (See below for a graph.)
The lines are parallel.
The slopes are equal.
The y-intercepts are different.
The system has no solution.