The office must buy 6 5- gallons jugs each month for Best Water to cost less.
Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
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When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
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To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.
1,500
Explanation
In y=600x + b the y is the total words and the x is the amount of days. We have the days (5 days) and we have the total amount of words. So we have to find b which is what they started off with. So what we can do is try 600words multiplied by 5 days. We should get 3000. So now we known in the span of 5 days they wrote 3000 words. Now we can subtract 4,500 and 3000, which gives us 1500. The author started off with 1,500 words. To check we just add the info in y=600(5)+1500 which gives us 4,500 .
Hopes that helps
The answer would be 3/4 and 5/6 if you mean it being simplified. you could also say 22/24 or 33/36
So if we want the ratio of flour to butter in fraction form, we want the amount of butter to be on top:
However, it needs to be in simplest form, which means not a complex fraction. To make it a simple fraction, multiply the numerator by the reciprocal of the denominator:

So, the ratio of flour to butter is

(the text in the fraction formatted weirdly, sorry about that)
Hope I helped, and let me know if you have any questions :)