Answer: The correct answer is D
Step-by-step explanation: you have to factor the polynomial
Answer:
150 different committees can be formed
Step-by-step explanation:
We have 6 boys and 5 girls and we want to select 5 members
Out of these 5 members, two boys are selected
Since two boys are selected, we are left with three girls
So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls
Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;
nCr = n!/(n-r)!r!
With this, we have;
6C2 * 5C3
= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed
Answer: 46 puzzles
Step-by-step explanation:
There are 70 puzzles in total in the book.
Jackie has completed / of those puzzles. In whole numbers that is:
= 2 /5 * 70
= 28 puzzles
She then completes 18 more puzzles.
Total that she has completed is:
= 28 + 18
= 46 puzzles
Answer:
Dulcina's collection has 57 pins
Eva's collection has 25 pins
Step-by-step explanation:
first we are going to represent the relation of pins by means of an equation
d = Dulcina
e = Eva
e + d = 82
and now we represent the relation of the collections of each one
d = e + 32
having the 2 equations we can replace the d by (e + 32) and place it in the other equation
e + d = 82
e + (e + 32) = 82
2e + 32 = 82
2e = 82 - 32
2e = 50
e = 25
Now we replace e with 25 in the second equation and get the value of d
d = e + 32
d = 25 + 32
d = 57
The top right graph has a slope of 1/3
