now, if we a "prime factoring" of each number, we get
204 =
2*2*3*17
120 = 2*
2*2*3*5
168 = 2*
2*2*3*7
now, notice the GCD for all three is that common bolded values, namely 2*2*3, or 12, so each room will house 12 participants,
now, how many rooms for all German? 204 ÷ 12, or 17 rooms.
how many rooms for all English ones? 120 ÷ 12, or 10 rooms.
how many rooms for the French ones? 168 ÷ 12, or 14 rooms.
so the total amount of rooms for all of them is
17 + 10 + 14.
If each math book is 0.75 of a inch wide you would do 18 divided by 0.75= 24. 24 books width can fit into the 18 inches.
Since quadratic coefient is 1 (term in front of x^2)
take 1/2 of linear cofient (12) and square it
12/2=6, 6^2=36
add that to both sides
x^2+12x+36=-11+36
factor perfect square
(x+6)^2=25
sqrt both sides and take positiv and negative roots
x+6=+/-5
minus 6 both sides
x=-6+/-5
x=-6+5 or x=-6-5
x=-1 or -11
answer is {-11,-1}
Answer:
(5/44)
Step-by-step explanation:
Total fraction of gerbils and hamsters left in the pet shop = 1
The ratio of hamsters to gerbils in the shop is 2:9.
Fraction of hamsters = (2/11) × 1 = (2/11)
The ratio of brown hamsters to grey hamsters is 3:5
What is the fraction of the animals left in the pet shop are grey hamsters?
= (5/8) × (2/11) = (5/44)
Hope this Helps!!!
Answer:
A. 4
Step-by-step explanation: