Joe's Painting: 20x + 100 = y
Steve's Painting: 15x + 120 = y
x = hours worked
y = total income
We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:
20x + 100 = 15x + 120
First, we have to move the 100 by subtracting it from both sides.
20x = 15x + 120 - (100)
20x = 15x + 20
Then, we need to move the 15x by subtracting it from both sides.
20 - (15x) = 20
5x = 20
Lastly, we need to divide 5 from both sides.
5x = 20/5
x = 4
Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.
20 102.3 rounded down is 100 4.7 rounded up is 5. 100 / 5 = 20 because 5 * 20 = 100
Answer:
61 hours
Step-by-step explanation:
See the attached figure to better understand the problem
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)
<em>Kevin's wage</em>
Take any point from the table
I take the point (2,16.50)

The equation of the proportional relationship is equal to

substitute the value of k

For y=$500.00
substitute the value of y in the equation and solve for x

Divide by 8.25 both sides

Answer:

Step-by-step explanation:
Given
6 rolls of a die;
Required
Determine the possible sequence of rolls
From the question, we understand that there were three possible outcomes when the die was rolled;
The outcomes are either of the following faces: 1, 2 and 3
Total Number of rolls = 6
Possible number of outcomes = 3
The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;




Hence, there are 120 possible sequence.
Answer:

Step-by-step explanation:
