Answer:
C. 30
Step-by-step explanation:
We have a list of names that need to be sorted in a specific order. For this, we will use a permutation. This can be found on a scientific calculator, however, I'll be using the equation.
n = total number of objects
r = number of objects selected
In this instance, n will equal 6 since we have 6 different names to choose from and r will equal 2 since we are picking two names. Enter the values into the equation and evaluate.
Therefore, there are 30 possible two-part names.
Answer:
10
Step-by-step explanation:
Let A = set of numbers from 1 - 10
A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Let B = subset of A which are even numbers
B = {2, 4, 6, 8, 10}
Let C = subset of A which are multiples of 5
C = {10}
which elements are in both the subset of even numbers, and the subset of multiples of 5:
AnB means elements which appears in both set B and C
BnC = {5}
Answer:
x=1
Step-by-step explanation:
3(x+1)=-2(x-1)+6
1) Distribute 3 to x and 1:
3x+3=-2(x-1)+6
2) Distribute -2 to x and -1:
3x+3=-2x+2+6
3) Combine alike terms:
3x+3=-2x+8
4) Add 2x to both sides:
5x+3=8
5) Subtract 3 from both sides:
5x=5
6) Divide both sides by 5:
x=1
Answer:
The answer is 7 cups
Step-by-step explanation:
1 cake-2 2/6 cups
Which can also be written as
1 cake-14/6 cups
3 cakes-x cup
Cross multiply
x=14/2
x=7
Therefore Karen needs 7 cups of flour to make 3 cakes
