Answer:
C
Step-by-step explanation:
there are six spots, which the arrow will land on only one, making it 1/6
9514 1404 393
Answer:
- rewrite: 2x^2 +5x +20x +50
- factored: (x +10)(2x +5)
Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
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<em>Additional comment</em>
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
A simple way you could solve this is by drawing a tape graph.
Draw a long rectangular box.
Cut the box into 8 pieces, seeing as how 5/8 of the coins are dimes.
We have to take 48 and divide it by 8, we get 6, so now we know how many dimes are evenly split into each piece.
Now color in 5 pieces of the tape.
This represents the 5 in 5/8.
Now to find the number of coins, simply multiply 5 by 6, you get the answer of 30.
I hope this helps, if you are confused with any part of my explanation, ask and I will clarify.
14-8=6 or 14-6=8 are related subtraction facts