You have the correct answer. It is choice B) -1/4
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Explanation:
This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.
- term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
- term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
- term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
- term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2
and so on.
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To find the common difference, all we have to do is subtract any term from its previous one.
For example:
d = (term2) - (term1)
d = (1/4) - (1/2)
d = (1/4) - (2/4)
d = (1-2)/4
d = -1/4
The order of subtraction matters, so we cannot say d = term1-term2.
Answer:
(2,4)
Step-by-step explanation:
You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.
Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.
294 = 2*3*7^2
252 = 2^2 * 3^2 * 7
210 = 2*3*5*7
Greatest common factor = 2*3*7 = 42
The biggest possible number of students to distribuute the balls equally is 42
Answer :
no they are not 6:4 and 4:6 are not equivalent
This looks a lot more like business math than consumer math.
For all inventory balance problems, you add the input to the balance and you subtract the outflow from the balance.
11. 76 - 36 + 44 = 84
13. As with the previous months in the chart, the opening balance is the ending balance of the previous month. For March, that's February's ending balance: 210.
16. 193 + 23 + 45 - 45 - 100 = 116.
18. We know that all of the 145 received on 5/19 are included in the 150 in inventory. In addition, 5 of the units received on 5/8 also remain in inventory. The inventory value will be
... 145×$9.90 + 5×$9.75 = $1484.25
21. The reorder point is 4 + 21 = 25 days' inventory. If 750 tents represents 30 days' inventory, then the reorder point of 25 days' inventory is
... (25/30)×(750 tents) = 625 tents
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If you do what the Hint asks, you find the daily usage is (750 tents)/(30 days) = 25 tents/day. Then the safety stock is 4×25 = 100 tents, and the number of tents used during the lead time is 21×25 = 525 tents. The total of these is 100+525 = 625 tents. (Note we have done 4 calculations instead of 2, and have had to manage 2 intermediate results.) It is much simpler just to count days, IMO.
