To calculate the total cost, we need to multiply the cost of each item by how many of them Mamadou buys, then sum the total costs for all the items.

Here are the calculations:

1. Cost of Burritos:
   Mamadou buys 11 burritos, and each burrito costs $7.17.
   Total cost of burritos:
   $11 \times 7.17 = 78.87$

2. Cost of Tacos:
   Mamadou buys 33 tacos, and each taco costs $4.99.
   Total cost of tacos:
   $33 \times 4.99 = 164.67$

3. Cost of Nachos:
   Mamadou buys 44 orders of nachos, and each order of nachos costs $5.78.
   Total cost of nachos:
   $44 \times 5.78 = 254.32$

Now, we add up the total cost for all three items: $78.87 + 164.67 + 254.32 = 497.86$

So, the total cost of Mamadou's order is $497.86.

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Would you like to know more details about how to break down these steps? Or do you have any other questions?

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Here are some related questions for you:

1. How can we check if the prices are rounded correctly in this problem?
2. What would the total cost be if Mamadou bought 5 more burritos?
3. How can we calculate the cost of one item if we know the total cost and how many were purchased?
4. If Mamadou only bought tacos, what would the total cost be for 50 tacos?
5. How do we handle taxes or tips when calculating the total cost?

Tip: When doing multiplication with money, make sure to keep track of decimal places to avoid errors in the total.