Help would be great, it is for a "test" to see what we know, so it is not worth anything but I still would like to see if I can make changes to it before I submit it. :D

3.) Select the equation that has infinitely many real solutions. (these are all fractions btw)
A.)10/x=20/x+20
B.)3/x=2/x+1<--what I chose.
C.)3/4=2/x+1
D.)4x/12=3x/9

4.) Janice works at Red Robin and earns $70 per day plus tips which is equal to about 15% of the total amount of sales of food, s. Janice earns less than $200 total on Monday. Select all the inequalities that represent all possible values for the waitress’s sales, s, on Monday. (sorry for all of that, I had to hand type it all xD)
A.)200>70+0.15s <-- I went with all but D.)
B.)200<70+0.15s <--
C.)70+0.15s<200 <--
D.)200>70+15s

That is all for now, thank you for your assistance. :D

#3, you have an infinite number of solutions if, while you are solving, the variable drops out, and you end up with a true statement.

your choice:
3/x + 2/x = 1
multiply each term by x
3 + 2 = x
x = 5, one solution, so, wrong choice.

correct answer:
4x/12 = 3x/9
x/3 = x/3
x/3 - x/3 = 0
0 = 0 , the variable disappeared and 0=0 is true

In #4, choice A and C are the same thing
B and D are incorrect

For question 3, you are asked to select the equation that has infinitely many real solutions. Let's go through each option and see how we can determine the answer.

Option A: 10/x = 20/x + 20. To find the solution, we can start by multiplying both sides of the equation by x to eliminate the fractions. This gives us 10 = 20 + 20x. By simplifying, we get 20x = -10, and dividing both sides by 20 gives us x = -1/2. Since this equation has a specific solution, it doesn't have infinitely many real solutions.

Option B: 3/x = 2/x + 1. Following the same approach as above, we multiply both sides by x to eliminate the fractions. This gives us 3 = 2 + x. By simplifying, we get x = 1. This equation also has a specific solution, so it doesn't have infinitely many real solutions.

Option C: 3/4 = 2/x + 1. By subtracting 1 from both sides, we have 3/4 - 1 = 2/x. Simplifying further, we get -1/4 = 2/x. Here, we can cross-multiply to eliminate the fractions, resulting in -x = 8. Dividing both sides by -1 gives us x = -8. Since this equation has a specific solution, it doesn't have infinitely many real solutions.

Option D: 4x/12 = 3x/9. To solve this equation, we can cross-multiply to eliminate the fractions. This gives us 4x * 9 = 3x * 12. By simplifying, we have 36x = 36x. Notice that in this case, the variable x cancels out completely, and we are left with a true statement: 36x = 36x. Therefore, every value of x satisfies this equation. As a result, the equation has infinitely many real solutions.

Therefore, the correct answer for question 3 is D.) 4x/12 = 3x/9.

Moving on to question 4, you need to select all the inequalities that represent all possible values for the waitress's sales, s, on Monday. Let's evaluate each option:

Option A: 200 > 70 + 0.15s. This inequality represents that $200 is greater than the sum of $70 and 15% (0.15) of the total sales, s. Since Janice earns less than $200 on Monday, this option is correct.

Option B: 200 < 70 + 0.15s. This inequality represents that $200 is less than the sum of $70 and 15% (0.15) of the total sales, s. Since Janice earns less than $200 on Monday, this option is correct as well.

Option C: 70 + 0.15s < 200. This inequality states that the sum of $70 and 15% (0.15) of the total sales, s, is less than $200. Since Janice earns less than $200 on Monday, this option is also correct.

Option D: 200 > 70 + 15s. This inequality represents that $200 is greater than the sum of $70 and 15 times the total sales, s. Since the question mentions that Janice earns less than $200 on Monday, this option is not correct.

Therefore, the correct answers for question 4 are options A, B, and C.

I hope this explanation helps! Let me know if you have any further questions or need additional assistance.