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Aleksandr-060686 [28]
3 years ago
13

Lena has three cups of milk in a refrigerator she needs 1/3 of a cup of milk to make a BATCHES of 6 cupcakes how many cupcakes w

ill need to be able to make with that amount of milk in the refrigerator​
Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer:  Lena will be able to make 54 cupcakes.

Step-by-step explanation:

If 1/3 cups  has t make 6 cups , then we can set up a proportional relationship and find  out how much 3 cups of milk can make.

\frac{1/3}{3}  = \frac{6}{x}     Cross multiply  

1/3x = 18     Multiply both sides by 3.

x = 54  

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Let the two numbers be x and y, then
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x + y = 60 . . . (2)

(1) - (2) => -2y = -12 => y = -12/-2 = 6
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3 years ago
Which expression is equivalent to a + (c + 7)?
Vikki [24]

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3 0
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How would I do the steps to solve this?
allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

R(p) = -10p^2+800p

Taking derivative wrt p

\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

Now putting R'(p) = 0

-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

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The maximum revenue is 16000 dollars (at p = 40)

3 0
2 years ago
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