I showed the answer in long division! I suppose 6 divided by 489 is equal to
0.81
<h3>Answer:</h3>
- Calvin: incorrect, sign error
- Greg: incorrect, has no relationship to the given expression
- Ruben: incorrect, sign error
- Equivalent expresssion: 7 92(4x -11)
<h3>Explanation:</h3>
The two terms on the right, -8x and +22, have even coefficients, so a factor of 2 can be factored out. If we do that, then these two terms become ...
... 2(-8x/2 +22/2) = 2(-4x +11)
We could, instead, factor out -2 so the x-coefficient inside parentheses is positive:
... -2(-8x/-2 +22/-2) = -2(4x -11)
Note that the signs of the two terms inside parentheses are different no matter which way we do it.
<u>Equivalent expressions</u>
Calvin could have written: 7 -2(4x -11)
Ruben could have written: 7 +2(-4x +11)
Greg could have written: 8(2 -x) -1. He would have rearranged the expression to 16 -8x -1 before doing so.
Try making a grid like this. Apologies for the terrible drawing and handwriting. It represents all possible results of rolling two dice and summing their values. The blue column and yellow row represent the values of each die, and the green numbers reptesent their sums.
First, you can see that there are 36 possible values. Second, it's easy to see how many results are greater than 9, since they're all in one corner. And last, you can see just how many are even and how many are odd. Remember to reduce your fractions in the end.
Answer:
Step-by-step explanation:
Answer:
- $52
- this estimate is a little low
Explanation:
a) I might choose 6 1/2 hours and $8 per hour, so the estimated earnings would be ...
6(8) +(1/2)(8) = 52 dollars . . . . estimated earnings
These values are purposely chosen so that one is a little high and the other is a little low, hopefully producing a closer estimate than if both numbers were high (as 7 hours, $8, for example).
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b) Using 800 instead of 790 means the pay estimate is about 1/80 = 1.25% high.
Using 6 1/2 instead of 6 3/4 means the hours estimate is about 1/27 ≈ 3.7% low.
So, we expect the product of these values to be slightly low, perhaps by about 2.5%.
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<em>Comment on estimating</em>
If you can estimate the error in the estimate with some reasonable accuracy, you can use that to adjust the estimate to a pretty close value.
