Irst thought: since he needs 7 3/4 tons, and each load can carry LESS than a ton, he'll need to make MORE than 7 3/4 loads. So when you get your answer, make sure it it passes that common sense test. Next: He's got to divide the 7 3/4 ton total among all those loads, 3/4 ton at a time. So he needs to divide: 7 3/4 divided by 3/4. It will be easier to do the math if we turn 7 3/4 into an improper fraction, which will be 31/4. So we have to divide 31/4 divided by 3/4, which will give us 10, with 1/4 left over, for a total of 10 1/4 loads. BUT: the wording is that each load carries AT MOST 3/4 ton, so he may carry less than that amount in any given load(s). So he needs to do an amount GREATER THAN OR EQUAL TO 10 3/4 loads. For practical purposes, that means he has to fill his truck (at least part way) 11 different times. (Think of it as completely filled the first 10 times, and 3/4 filled on the 11th/final time.)
Answer:
Step-by-step explanation:
This is permutation, since order matters. The formula for us is
₁₈P₅ = 
which simplifies to
₁₈P₅ = 
The factorial of 13 cancels out on the top and bottom leaving you with
₁₈P₅ = 18 × 17 × 16 × 15 × 14
which comes to 1,028,160 ways
Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say
18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.
Answer:
Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.
Some examples of prime numbers would be: 1, 2, 3, 5, 7...
-14,2
Because if you multiply -14*2 you get -28 and if you add -14+2 you get -12. Hope this helps
Answer: $140.50
Step-by-step explanation: Just multiply $13.50 by 3 then add the $100 initial fee.
