Good 'ol ratio and proportion
so what yo do is
known ratio=unknown ratio
so first one
oranges
number of oranges to cost=5:2
find the cost of 2 dozen (24) oranges
number of oranges to cost=5:2
5:2=24:?
5/2=24/?
times both sides by 2 times ?
5 times ?=48
divide both sides by 5
?=9.6
2 dozen oranges costs $9.60
this one I can't see how many days
but for x days, the cost is x times $60
john drove some distance
distance to amount of gas is 48:2
how much gas needed for 78 miles
48:2=78:?
48/2=78/?
times both sides by 2?
48?=156
divide both sides by 48
?=3.25
used 3.25 gallons for 78 miles
The gcf of 170 and 210 is 10.
I think the correct answer is D
The answer is (b² + 5b + 4).
The volume of a rectangular prism (V) is:
V = l · w · h (l - length, w - width, h - height)
The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w
Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)
Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
= b²(b + 3) + 5b(b + 3) + 4(b + 3) =
= (b + 3)(b² + 5b + 4)
A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)
(b + 3) can be cancelled out:
A = (b² + 5b + 4)
I usually drink coffee (lots of it lol)
or I do a little toung twister in my mind a couple times to wake my brain up
or you could just repeat every word the teacher says in ur head
these work for me im not kidding I know how annoying it is to stay awake during ANY class
anyhow, this is what I do, go ahead and try them, if they work for my sleepy head, im sure they'll work for you.
good luck btw!!!
