Marsha has some math exercises to do for homework. she did one half during study period and two thirds of those remaining while waiting for a friend after school. he had three to finish at home that evening. how many exercises did she have for homework?

She has 1 5/6 exercises for homework.

Step-by-step explanation:

1/2 + 2/3 = 1 1/6

2 * 3 = 6 3 * 2 = 6

1 * 3 = 3 2 * 2 = 4

4 + 3/ 3 + 3

7/6 = 1 1/6

So, she finished 1 1/6 of her problems.

3 - 1 1/6 = 1 5/6

3 - 1 = 2

2 - 1/6 = 1 5/6

 18

Step-by-step explanation:

Let x represents the number of exercises she had for homework.

Then, the expression for the number of exercises she did during study period =

Remaining exercise =

The number of exercises she did while waiting for a friend after school=

Also, she had three to finish at home that evening.

Then, we have

Hence, she had 18 exercises for homework.

3/1

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise/run between any two points that are on that line.

So for the line you see here, let's use the two bolded points to find its slope. I have labeled these points A and B to make finding the slope a little easier to understand and when you get comfortable with this, you don't need to do it.

To get from point A to point B, we would rise 3 units and run 1 unit.

So the slope of this line or its rise/run is 3/1 or just 3.

The variable that's used to represent slope is m.

So for this line we would say that m = 3/1.

It's important to understand that no matter what two points you choose along this line even if you don't choose the bolded points, the slope or rise/run can always be simplified or reduced to 3/1.