The answer is <span>Q=(M−2P)/3
</span>
<span>M = 2P + 3Q
Subtract 2P from both sides:
M - 2P = 2P + 3Q - 2P
M - 2P = 3Q
Divide both sides by 3:
(M - 2P)/3 = 3Q/3
(M - 2P)/3 = Q</span>
Answer: The answer is 4.
Step-by-step explanation: Given that -
The number of cups of yogurt that Carol has to make smoothies is given by

and the number of cups of yogurt that each smoothies uses is given by

Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have

Thus, the maximum number of smoothies is 4.
If the tax was 10%, then you’d end up paying the original 100% plus the additional 10% tax, so you’d pay 110% of the original price.
In your example, it’s the same, except you have 8.25% tax, so you’d pay 100%+8,25% or 108.25% of the original price.
That’s stated as a percent.
To convert a percent to a decimal, you divide by 100:
108.25 ÷ 100 = 1.0825
To convert a decimal to a fraction, you have to know the place value of the smallest place. In this case, the 5 is in the ten thousandths place.
10825/10000
You can always double check that fraction on a calculator.
(2^8 x 3^-5 x 6^0) x [(3^-2/2^3) x 2^28] = x
(256 x .004 x 1) x [(.111/8) x 268,435,456] = x
(1.024 x 1) x .(0138 x 268,435,456) = x
1.024 x (.0138 x 268,435,456) = x
1.024 x 3,704,409.2928 = x
3,793,315.1158272 = x
Correct me if I am wrong. :)
<h2>
Explanation:</h2>
In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m