Answer:This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
Step-by-step explanation:
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Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
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<em>Additional comment</em>
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
Would it be 33/10? If you are multiplying and then division you would use the inverse of the divided fraction and multiply. So you could invert 2/5 to 5/2 and add to 4/5. After finding the common denominator it would be adding 8/10 + 25/10 = 33/10.
Answer is 1704 and to explain just put that you added to get your final answer
Comment
There are 12 months in a year. He plans on visiting 8 times each month.
Step One
Find the number of visits per year.
<em>Givens</em>
Number of visits per month = 8
Number of months per year = 12
Visits = # visits / month * number of months
Visitis = 8 * 12
Visits = 96 visits in total.
Step Two
<em>Calculate the cost / visit</em>
Total Cost = 414 visits.
Total Visits = 96
Cost / Visit = Total Cost / Total visits.
Cost / Visit = 414 / 96
Cost / Visit = 4.31 roughly.