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evablogger [386]
3 years ago
12

Pam bought several cartons of Giggle Fruit Drinks to sell during the track meet. She paid 50 cents per carton. She sold all but

15 of the cartons for $1 each. At the end of the day, her profit was $22.50. How many cartons of Giggle did she buy?
Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Good evening

Answer:

<h2>75</h2><h2 />

Step-by-step

let c be the total number of cartoons

Cost of purchase = 50c

total sale price = 100(c-15)

profit = total sale price - cost of purchase    

        = 100(c-15) - 50c = 2250 cents

Then (100c-50c) - 1500 = 2250

then 50c = 3750

Then c = 3750/50 = 75

:)

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Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

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<em>Vertex:</em>

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<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

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<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

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Then we can factor the expression in the following way:

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Now we find the coordinates of the vertex.

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x = \frac{-16}{2(-2)}\\\\x = 4

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Answer:

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Step-by-step explanation:

we have

A(4, -7), B(4, -2), C(0, -2), D(0, -7)

we know that

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d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

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substitute the values

d=\sqrt{(-2+7)^{2}+(4-4)^{2}}

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<u><em>Find the distance BC</em></u>

substitute the values

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d=\sqrt{(-7+7)^{2}+(0-4)^{2}}

d=\sqrt{(0)^{2}+(-4)^{2}}

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AB=CD

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Find the length of the diagonals

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d=\sqrt{(-5)^{2}+(-4)^{2}}

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