Answer:
Step-by-step explanation:
Simplifying
4x + 5 = 33
Reorder the terms:
5 + 4x = 33
Solving
5 + 4x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x = 33 + -5
Combine like terms: 5 + -5 = 0
0 + 4x = 33 + -5
4x = 33 + -5
Combine like terms: 33 + -5 = 28
4x = 28
Divide each side by '4'.
x = 7
Simplifying
x = 7
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
Answer:
The slope:
Step-by-step explanation:
-To determine the slope of the following points shown, you need this formula:
(
represents the slope, 
represents the first coordinate and 
represents the second coordinate)
-Apply the following points to the formula:
Then, solve:
So, the slope is 
.
Answer: 5
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5
