Answer:
Step-by-step explanation:
Using the rule of exponents
= 
, then
= 
=
3.5*(-3)///////3.5*(-3)//////all of this parts same
Answer:
$384.75
Step-by-step explanation:
Albert's hourly pay is $8.10
When he works for more than 40 hours, his hourly pay will increase to $12.15.
Last week, Albert worked for 45 hours, his hourly pay would be:
First 40 hours = $8.10 * 40 = $324
Remaining 5 hours =
$12.15 * 5 = $60.75
Albert gross pay for this period will be calculated as:
$324 + $60.75 = $384.75
Therefore, Albert gross pay for this period = $384.75
Answer:
m + n = 15
m - 3 = n
The numbers are 9 and 6
Step-by-step explanation:
From the question,
The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that
m + n = 15 ..... (1)
Also, from the question,
One number is three less than the other,
Also, to translate to a system of equations, we can write that
m - 3 = n ...... (2)
If desired, we can determine m and n
From equation (1)
m + n = 15
Then,
m = 15 - n ...... (3)
Put the value of m in equation (3) into equation (2)
m - 3 = n
Then
15 - n - 3 = n
15 - 3 = n + n
12 = 2n
n = 12/2
∴ n = 6
For m, put the value of n into equation 3
m = 15 - n
m = 15 - 6
m = 9
∴ m = 9 and n = 6
Hence, the numbers are 9 and 6
