For one apple pie, Mimi needs 2 cups of flour and 3 cups of apples, which is 5 cups in all, in order to produce how many cups she would need to make five pies you simply times the number given, number of cups, by 5. So you times 2 by 5, which is 10 and 3 by 5, which is 15 and together that makes 25 cups, 10 cups of flour and 15 cups of apples. If you had three cups of flour and needed to make 20 pies, all you would do is times three by 20, which is 60.
Hope I explained this correctly, if you need any more help, please ask.
Answer:
1. There are _______ quarter notes in a whole note.
2. There are_______ half notes in a whole note.
3. There are________ quarter notes in a half note.
4. There are________ quarter notes in two half notes.
5. There are ______quarter notes in three half notes.
6. A whole note equals________ half notes
7. A whole note equals________ quarter notes. 8. A half note equals______ quarter notes.
9. Two half notes equal_______quarter notes. 10. Four quarter notes equal_______ whole note.
Answer:
reflection
Step-by-step explanation:
have a good Day
The only way I've done this is with calculus and derivatives.
Basically, you need a formula that dictates what is going on.
In this case that formula is Volume=Area*Length
However because we do not know the area but instead the radius, You need to put the formula in terms of the radius: Volume = π*(radius^2)*length
Then I would make a list of all the variable that you know:
(PS. I would first make sure that all the units in the problem are the same. If not, adjust them so they are the same)
Volume: Find the volume at the set point in time by using this formula and plugging in the values of 2cm and 6cm for the radius and the length respectively.
This makes <span>Volume=24π
</span>It was also given that at the set time, the radius= 2 and length=6
However, we also need the rates of change for each of these variables.
A rate of change is a derivative so I will call them dv/dt, dr/dt. and dL/dt for the volume, radius, and length.
Since, we are finding dr/dt, we leave it as the variable dr/dt.
dL/dt was given as .4 (it is positive because it is increasing)
This is where you need common sense and a basic understanding of rate of change: dv/dt is 0 because even though it was not technically given, no clay is added or taken away so the volume must stay constant making how much it changes by equal to 0.
Now that we have the list, it is time to return to the formula. First though we need to take the derivative of the formula. Thus,
Volume = π*(radius^2)*length
becomes:
dv/dt=(π*(radius^2)*dL/dt) + (2π*radius*length*dr/dt)
This was done with the product rule for derivative if you did not figure it out.
Then plug in the numbers from the list:
0=(π*4*.4)+(2π*2*6*dr/dt)
Then solve algebraically.
1.6π+24π*dr/dt=0
24π*dr/dt=-1.6π
dr/dt=-1/15
Then add units based on the problem:
-1/15 cm/second is the rate at which the radius is increasing (because it is negative, the radius is actually decreasing).
