To solve this problem, we should set up an equation, letting the unknown value of miles that Ahmad drove be represented by the variable x. We can have our total price on one side of the equation, set equal to the base fee plus the number of miles Ahmad drove multiplied by the charge per mile (x). This equation is modeled below:
191.95 = 16.99 + 0.72x (remember that 72 cents in dollars is equal to 0.72!)
To solve this equation, we must get the variable x isolated on one side of the equation. To do this, we begin by subtracting 16.99 from both sides of the equation.
174.96 = 0.72x
Next, we must divide both sides of the equation by 0.72 to get rid of the coefficient on the variable x.
x = 243
Therefore, your answer is Ahmad drove the truck for 243 miles.
Hope this helps!
Answer:
false
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
To select the correct equation, check to see that the c term of is 2 since the y-intercept is (0,2). This means only A and B are options since C and D have -2.
For A and B, substitute the other two points (-2,8) and (1,5) into the equations and see if it hods true.
This is not 8 and is not true.
This is true. This is the solution.
The time when the maximum serum concentration is reached is obtained by equating the derivative of C(t) to 0.
i.e. dC(t)/dt = 0.06 - 2(0.0002t) = 0.06 - 0.0004t = 0
0.0004t = 0.06
t = 0.06/0.0004 = 150
Therefore, the maximum serum concentration is reached at t = 150 mins
The maximum concentration = 0.06(150) - 0.0002(150)^2 = 9 - 0.0002(22,500) = 9 - 4.5 = 4.5
Therefore, the maximum concentration is 4.5mg/L
Answer:
37
Step-by-step explanation:
First, we need to find the sum of all the numbers of the dice. The expression 3(1 + 2 + 3 + 4 + 5 + 6), or 3(21) does that for us. 3 × 21 = 63. So the sum of all of the numbers of the dice is 63. But we already know 7 of the numbers there: 2, 3, 1, 6, 5, 4, 5. In the expression 3(21), we counted these numbers as well. So now we can add these 7 numbers together then subtract them from 3(21), or 63. We can write the expression 3(21) - (2 + 3 + 1 + 6 + 5 + 4 + 5), or 3(21) - 26 = 63 - 26 = 37.