Answer:
12 dimes, 8 nickels
Step-by-step explanation:
1. Set up an equation. Since we know the relationship between how many dimes and how many nickels that he has, we can create values for them.
2. Say that the number of nickels is x, so the number of dimes would be 2x-4.
3. Since we know that all of the coins that he has is 20 coins, we can say that 2x-4+x=20.
4. Solve the equation. We get 3x=24, and x=8.
5. That means that the number of nickels is 8, and the number of dimes is 2(8)-4, which is 12.
Answer: Timmy has 12 dimes and 8 nickels.
Answer:
Answer:
Area of a CIRCLE with radius of 3 inches is
PI * radius^2 =
3.14159265 * 3^2 =
28.27433385 square inches.
Since we are dealing with a SEMI-CIRCLE, we divide that by 2 and get:
14.137166925 square inches which rounds to about
14.14 square inches
Step-by-step explanation:
Answer:
Part 1) The engine speed that maximizes torque is 
Part 2)The maximum torque is 
Step-by-step explanation:
<u><em>The correct equation is</em></u>
This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The x-coordinate of the vertex represent the engine speed that maximizes torque
The y-coordinate of the vertex represent the maximum torque
Solve the quadratic equation by graphing
using a graphing tool
The vertex is the point (3.093,74.683)
see the attached figure
therefore
The engine speed that maximizes torque is
---> because is in thousands of revolutions per minute
The maximum torque is
Move the decimal's place 7 times to the right. That means that 12.5*10^7 = 125*10^6. Now add 6 zeros: 125,000,000.
You can actually use a calculator to check your answers if it is allowed.
