There are 72 green pens.
There is 9 times as many white pens from 2 to 18, so there has to be 9 times as many green pens because of the ratio. 9 times 8 is 72.
3 cups of sugar for 6 cups of flour!
The answer choices are sufficiently far apart that you can work this backward. The sum will be ...
236,196*(1 + 1/3 + 1/9 + 1/27 + ...)
so a reasonable estimate can be given by an infinite series with a common ratio of 1/3. That sum is
236,196*(1/(1 - 1/3)) = 236,196*(3/2)
Without doing any detailed calculation, you know the best answer choice is ...
354,292
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There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.
Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292
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* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)
Answer:
Option (D)
Step-by-step explanation:
Kevin delivers newspaper in his town and earns an amount represented by a linear equation,
y = 30x + 18
Here, y = total earnings
x = number of houses he delivers the newspaper
If he doesn't deliver any newspaper on a certain day, (x = 0)
Then total earnings, y = 30(0) + 18
y = 18 cents
Therefore, a certain amount of 18 cents will be paid even if he doesn't deliver any newspaper on a certain day.
Option (D) is the correct option.
Answer: 17.5 lbs of plums are required to make 20 rolls of fruit leather.
Step-by-step explanation:
Since 7 lbs of plums yield 8 rolls of fruit leather, 1 lb will yield 1 1/7 rolls of fruit leather.
To find how many pounds of fruit will yield 20 rolls of fruit leather, divide how many rolls of leather you want to get by how many rolls of leather one pound will yield.
20 divided by 8/7 equals 17 1/2.
