Write 0.(76 repeated) as a fraction.
To convert the repeating decimal 0.(76) to a fraction, let x = 0.(76):
100x = 76.(76)
10x = 7.6(76)
Subtract the second equation from the first:
90x = 69
x = 69/90
Therefore, 0.(76) = 69/90 or 23/30.
A printer prints 6 photos each minute.
Let P be the number of photos printed in M minutes.
Write an equation relating P to M. Then graph your equation using the axes below.
The equation relating the number of photos printed (P) to the number of minutes (M) can be written as:
P = 6M
To graph this equation, plot points for P and M on a graph with P on the y-axis and M on the x-axis.
For example:
- When M = 0, P = 0 (the printer has not printed any photos yet)
- When M = 1, P = 6 (the printer prints 6 photos in 1 minute)
- When M = 2, P = 12 (the printer prints 6 photos in 2 minutes)
Connect these points on the graph to draw a straight line passing through the origin with a slope of 6.