Answer:
A negative integer
Step-by-step explanation:
3x - 2(5x+12) - 32 = 0
3x - 10x - 24 - 32 = 0
-7x -56 = 0
-7x = 56, x = -8
y = 5(-8) + 12, y = -28
Answer:
Step-by-step explanation:
<u>Given points:</u>
- A(-1, -9) and M(0.5, -2.5)
Let the coordinates of B are (x, y)
<u>Use midpoint formula to determine the point B:</u>
- 0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2
- -2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4
The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12.
Answer:
The number of ways are 40320.
Step-by-step explanation:
Consider the provided information.
Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.
We need to determine the number of different ways to put eight cookbooks on the shelf.
We need to select 8 cookbooks taking 8 at a time.
So use the permutation formula: 
Substitute n=8 and simplify.
Hence, the number of ways are 40320.
Answer:
4/13
Step-by-step explanation:
In absolute value, it is showing distance. Whenever something is in absolute value, it is turned positive.
here, Inside the absolute value brackets, we have positive 4/13. Positive 4/13 undergoes no such change, because there are no other terms, and no negatives.
absolute value of 4/13 is 4/13
