Answer:
1:5
Step-by-step explanation:
Their is 2 red pens, because 20(pens) - 8(blue pens) = 12(pens [blue excluded]) and there are 10 black pens (12 - 10 = 2)
So we can get an un-simplified ratio of 2:10, however in the list of answers you gave us:
Their is no 2:10, so now we need to simplify our ratio by dividing both 2 and 10 by 2, 2 divided by 2 = 1 and 10 divided by 2 = 5. As we can now see this gives us the ratio of 1:5 which is our second answer choice, and therefore since 1:5 is equal to 2:10 our answer is 1:5
PART A. Notice that we have

as a common factor in all the terms, so lets factor that out:


Now we need can factor

:


We can conclude that the complete factorization of

is

.
PART 2. Here we just have a quadratic expression of the form

. To factor it, we are going to find <span>two numbers that will multiply to be equal the </span>c<span>, and will also add up to equal </span><span>b. Those numbers are 2 and 2:
</span>

Since both factors are equal, we can factor the expression even more:

We can conclude that the complete factorization of

is

.
PART C. Here we have a difference of squares. Notice that 4, can be written as

, so we can rewrite our expression:

Now we can factor our difference of squares like follows:

We can conclude that the complete factorization of

is
Answer:
∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°
∠ CFE + 152° = 180° ( subtract 152° from both sides )
∠ CFE = 28°
Step-by-step explanation:
Answer:
150.833... or 150 and 5/6 crates
Step-by-step explanation:
We can create an equation to solve this.
Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.
120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)
We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.
120x = 18100
Now we just have to isolate x by dividing by 120.
x = 150.83333333333333333333333333333
If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.
Answer:
f(4)=-2
Step-by-step explanation:
f(4)=-4+2=-2