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Ghella [55]
2 years ago
13

A 60 ounce glass bottle of juice sells for $4. 20 while a 1. 5 liter of the same juice sells in a plastic bottle for $3. 6. Comp

are the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces) a. The juice in the glass bottle is 1 cent cheaper per ounce. B. The juice in the plastic bottle is 1 cent cheaper per ounce. C. The juice in the glass bottle is 10 cents cheaper per ounce. D. The juice in the plastic bottle is 10 cents cheaper per ounce. Please select the best answer from the choices provided A B C D.
Mathematics
1 answer:
Ann [662]2 years ago
5 0
The answer is letter B.

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The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra
kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

p-50 = \dfrac{50-52}{4000-3800}(x - 4000)

p-50 = \dfrac{-2}{200}(x - 4000)

p-50 = \dfrac{-x}{100}+ 40

p = \dfrac{-x}{100}+ 90

R(x) = x . p

R(x) = x (\dfrac{-x}{100}+ 90)

R(x) = \dfrac{-x^2}{100}+ 90x)

\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))

\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)

at \dfrac{d}{dx}(R(x)) = 0

\dfrac{-2x}{100}= -90

x = 4500

\dfrac{d^2}{d^2x}(R(x)) = -ve

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

p = \dfrac{-4500}{100}+ 90

p = $45

6 0
3 years ago
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 8
koban [17]

Correct Question:

Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:

The word "solution" means . . .

88 is a solution to 1/8x=11 because . . .

Answer/Step-by-step explanation:

✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.

✔️88 is a solution to ⅛x = 11 because:

if we substitute x for 88 into the equation, both sides would be equal.

Thus:

⅛×88 = 11

11 = 11

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3 years ago
Solve for x<br> -30=5(x+1)
mariarad [96]

Answer:

-5=x

Step-by-step explanation:

-30=5x+5

-25=5x

-5=x

5 0
3 years ago
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Pls help brainliest to the first answer
Tems11 [23]

Answer:

A is the correct answer

Step-by-step explanation:

4 0
3 years ago
Write at least 5 arithmetic sequence and determine the common difference
Margarita [4]

Answer: 1,6,11,16,21,26

Step-by-step explanation:

The common difference is 5 (n+5)

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