Michael rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 92 cents for each mile driven. Michael had to pay $216.71 when he returned the truck. For how many miles did he drive the truck?
Let's call the number of miles driven "m". We know that the base fee is $17.99 and there is an additional charge of 0.92 cents for each mile driven. So the total cost of the rental, in dollars, is 17.99 + 0.92m.
We also know that Michael paid $216.71, so we can set up the equation:
17.99 + 0.92m = 216.71
To isolate m on one side we'll subtract 17.99 from both sides:
0.92m = 198.72
Finally, we'll divide both sides by 0.92 to solve for m:
m = 216.71 / 0.92
m = 237
Michael drove the truck for 237 miles. Answer: \boxed{237}.
Use the distributive property to remove the parentheses.
-6(-x+3w-5) exponent
To remove the parentheses using the distributive property, we'll distribute the -6 to each term inside the parentheses.
-6(-x + 3w - 5)
= (-6)(-x) + (-6)(3w) + (-6)(-5)
= 6x - 18w + 30
So, the expression after removing the parentheses using the distributive property is 6x - 18w + 30.
Use the distributive property to remove the parentheses.
(3-3v+x)(-6) exponent
To remove the parentheses using the distributive property, we'll distribute the -6 to each term inside the parentheses.
(-6)(3 - 3v + x)
= (-6)(3) + (-6)(-3v) + (-6)(x)
= -18 + 18v - 6x
So, the expression after removing the parentheses using the distributive property is -18 + 18v - 6x.