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Zinaida [17]
2 years ago
11

The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time

to eat as many hot dogs as possible, required an average of 15 seconds to consume each hot dog. How many hot dogs did the winner eat? (1) The winner consumed 24 more hot dogs than did the third-place finisher. (2) The winner consumed hot dogs at double the rate of the third-place finisher.
Mathematics
1 answer:
Mrrafil [7]2 years ago
3 0

Answer:

Third placer consumed 24 hot dogs.

Winner consumed 48 hot dogs.

Step-by-step explanation:

Lets assume that the third runner up eats x hot dogs.

The total time for the contest is 15x seconds.

Given is that the winner ate (x+24) hot dogs

The winner's rate of eating is 1 hot dog per 7.5 seconds.  

And we know the rate = \frac{totaltime}{number of hot dogs eaten}

We get;

\frac{15x}{x+24} =7.5

(x+24)7.5=15x

7.5x+180=15x

7.5x=180

x = 24 (third placer)

And the winner consumed 24+24=48 hot dogs.

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weqwewe [10]

Answer:

Step-by-step explanation:

The lady gets paid $8 per hour that the shop is opened, so multiply the pay rate ($8) by the amount of hours the shop is opened
$8 * 8 = $64

Now add the $64 onto the expense of running the shop

$64 + $240 = $304

Now take that amount away from Friday's sales

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Profit($226) = Income($530) - Expenses($304)

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6 0
1 year ago
Select the correct answer from each drop-down menu.
Sergeu [11.5K]

Using translation concepts, it is found that the transformations to create function d are given as follows:

  • Horizontal shift right 1 unit.
  • Vertical shift up 5 units.
  • Frequency multiplied by 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cosine function is given by:

f(x) = cos(x).

The translated function is given by:

d(x) = cos(2x - 1) + 5.

Which means that:

  • 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
  • 5 was added in the range, hence there was a vertical shift up 5 units.
  • There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.

More can be learned about translation concepts at brainly.com/question/4521517

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1 year ago
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Nana76 [90]
70 I’m pretty sure I’m correct sorry if I’m not:( I’m not to good with math
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3 years ago
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Mademuasel [1]
Here’s a photo on how to do it! If you need help in more problems like this use a website called Symbolab!! It’s really helpful!!

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zubka84 [21]

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There are two parts to a rectangle. The opposite sides are the same. You add them all up to equal 98.

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