Answer:
$19.50
Step-by-step explanation:
First, we find the number of gallons in 100 cups.
1 gallon = 16 cups
100 cups * (1 gallon)/(16 cups) = 6.25 gallons
100 cups is the same as 6.25 gallons.
Now we multiply the number of gallons by the cost per gallon.
6.25 gallons * 3.12 $/gallon = $19.50
The answer is C. 20.3 miles per hour.
In order to solve this, we have to first convert our time into hours. We start with 11 seconds, but need to convert to hours. Since there are 3600 seconds in an hour, we need to divide by that unit rate.
11 seconds/3600 = .00305 hours
Now we need to convert our meters into miles. The problem lets us know that there are 1609 meters in a mile, so we need to divide the 100 meters by 1609.
100 meters/1609 = .0621 miles.
Now to find miles per hour, we divide the miles we got by the hours.
.00305 miles/ .0621 miles = 20.3 miles per hour.
6 it is the same as the other I think
Answer:
(f/g)(8) = -169
Step-by-step explanation:
Simply plug in <em>x </em>= 8 into our equation:
-13(13)
-169
<span>a. find the number of units of tacos she must sell to minimise her cost.
</span>to find a minimum we need to find the function derivative and make it equal to zero:
dc/dx = 2x - 40 = 0
2x = 40
x = 20
therefore to minimize the cost, she needs to sell 20 units of tacos
<span>b. find the minimum cost.
</span>that can be done by substituting the previous result, 20 tacos, in the original equation:
<span>C(x) = x^2 - 40x + 610
</span>C(20) = (20)^2 - 40(20) + <span>610
</span>= 400 - 800 + 610
= 210
the minimum cost will be 210 dollars
