Evaluate −x+| y | when x=1/3 and y=−7/4. write your answer as a fraction in simplest form.

17/12

Step-by-step explanation:

1. First, you need to plug in your x and y values into the equation.

-1/3 + l-7/4l

2. Then, since the equation uses the absolute value of -7/4 you need to change it.

-1/3 + 7/4

3. Next, you would add them. The first step to that is to find the common denominator.

 -1/3 + 7/4  The common denominator would be 12. you can find that by multiplying the two denominators or finding the least common multiple of the two.

4. Next, you would need to multiply the numerators by whatever number you multiplied the denominators by for each fraction.

So your work would look something like this.

-1/3 =

-1 x 4 = -4

3 x 4 = 12

Your new first fraction would be -4/12

7/4 =

7 x 3 = 21

4 x 3 = 12

Your new second fraction would be 21/12

Your new equation is -4/12 + 21/12

5. Now your denominators are the same for both fractions so you simply add the two numerators together.

-4/12 + 21/12 = 17/12

6. Since the fraction cannot be simplified any further you know that is your answer!

17/12

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.