Total number of possible outcomes = 36
Total number of outcomes with sum not 4 = 33
not [1 + 3, 2 + 2, 3 + 1]
P(not sum of 4) = 33/36 = 11/12
Answer: 11/12
You said it yourself... the phrase "900 miles at 30 miles per hour" means that the fraction 900/30=30 is showing how many hours it takes to do 900 miles at a speed of 30 miles an hour. So, it took 30 hours. As with your question, I am not entirely sure of what you are asking, but from the answer choices, the most logical would be the last one, 900 miles/ ? hours. If you implement the number of hours that it takes to drive 900 miles at 30 miles per hour, the fraction would be 900 miles/ ? hours, which would then show the rate that you are driving at, 30 miles per hour.

Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y

- Option <em><u>b) 33 (x + y)</u></em> is not a linear equation in 1 variable.
- Here, we can see that there are 2 variables used ⇨ x & y. Hence, even though it's a linear equation, it's not in 1 variable.
- All the other options are in 1 variable or don't have a variable at all.
49x^2 - 9 = 0
As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:
49 = 7^2
9 = 3^2
x^2 = (x)^2
so...
(7x - 3)(7x + 3) = 0
7x - 3 = 0 7x + 3 = 0
x = 3/7 x = -3/7