Answer:
$48
Step-by-step explanation:
From the question we know that;
His regular pay is $32 per hour.
Tom worked 48 hours last week and gets time-and-a-half pay for overtime.
Time and a half pay = 1.5
Hence, if Tom works for an hour of overtime, his pay for his overtime is calculated as:
= 1.5 × $32 × 1
= $48
Therefore, he was paid $48 for one hour of overtime.
Answer:
1500 dollars
Step-by-step explanation:
annual means yearly and we want to find how much it will cost for 5 months
First thing we want to do is find how much it cost every month and to do that we divide 3600 by 12
3600/12=12 so it cost 300 dollars monthly
then we just multiply that by 5
5x300=1500 so it cost 1500 dollars for 5 months
Answer:
The function represents a direct variation
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or 
In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m
Let
------> the line passes through the origin

Find the value of k------> substitute the value of x and y
-----> 

Find the value of k------> substitute the value of x and y
-----> 

Find the value of k------> substitute the value of x and y
-----> 

Find the value of k------> substitute the value of x and y
-----> 
The value of k is equal in all the points of the table and the line passes through the origin
therefore
The function represents a direct variation
the equation of the direct variation is equal to

Answer:
3.3h-3.1d-17
Step-by-step explanation:
Answer:
b. (1, 3, -2)
Step-by-step explanation:
A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.
It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:
a: -1 -5(1) +2(-4) = -14 ≠ -18
b: 1 -5(3) +2(-2) = -18 . . . . potential choice
c: 3 -5(8) +2(1) = -35 ≠ -18
d: 2 -5(-3) +2(0) = 17 ≠ -18
This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:
2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1
-(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2