Peggy worked 20 2/3 hours over three days last week. she worked the same number of hours each day. how many hours did peggy work each day? by writing an equation and solving.

[20 2/3]/3 can be rewritten as an improper fraction.

20 2/3 = 62/3.  Now we divide 62/3 by 3, which is the same as multiplying by 1/3.

62/9 is the number of hours each day, or 6 8/9 hours.  Almost 7 hours.  And this makes sense, as 20 2/3 is almost 21 hours.

Step-by-step explanation:

Let x be the number of hours after morning.

We have been given that on a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour.

Since the slope-intercept form of an equation is: , where m represents slope and b represents y-intercept.

As the temperature is increasing 3 degrees with each passing hour, so slope of our line will be 3 as slope represents rate of change.

The initial temperature was -7°F, so -7 will be our y-intercept.

Upon substituting m=3 and b=-7 in slope intercept form of equation we will get,

Therefore, the equation shows the temperature over time.