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galben [10]
3 years ago
6

Marge runs an ice cream parlor. Her specialty is triple chocolate sundaes. She can prepare 1 sundae every 2 minutes, and she ear

ns $1.20 for each sundae she makes. If she just makes sundaes for a single shift of at most 4 hours and at least 2 hours, which function relates her earnings to the number of minutes she works?
Mathematics
2 answers:
weeeeeb [17]3 years ago
3 0
2 minutes = 1.20 dollars for price of sundae.in 4 hours how many minutes are there?=> 60 * 4 hours = 240 minutes => 240 / 2minutes per sundae = 120 minutes => 120 * 1.20 = 144 dollars in 4 hoursOr 72 dollars in 2 hours
emmasim [6.3K]3 years ago
3 0

Answer:  

f(x) = 1.2(\frac{x}{2})\text{ where, }120 \leq x \leq 240

Step-by-step explanation:

Suppose she earns f(x) dollar by making sundaes in x minutes.

As per statement,

She just makes sundaes for a single shift of at most 4 hours and at least 2 hours,

⇒ She can make sundaes for a single shift of at most 240 minutes and at least 120 minutes,    ( 1 hour = 60 minutes )

That is, 120 ≤ x ≤ 240

Now, She can prepare 1 sundae every 2 minutes,

Thus, for her,

2 minutes = 1 sundae

⇒ 1 minute = 1/2 sundae

⇒ She can prepare x/2 sundae every x minutes,

Also, she earns $1.20 for each sundae she makes.

Thus, her total earning in x minutes,

f(x)=1.2(\frac{1}{2})\text{ Where, }120 \leq x \leq 240

Which is the required function that relates her earnings to the number of minutes she works.

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DerKrebs [107]

Answer:

√20 units.

Step-by-step explanation:

Please see attached photo for diagram.

The other leg of the triangle is x as shown in the attached photo.

Using the pythagoras theory, we can obtain the the value of x as follow:

x² = 4² + 2²

x² = 16 + 4

x² = 20

Take the square root of both side.

x = √20 units

Therefore, the value of the other leg x of the triangle is √20 units

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3 years ago
Eli drove 856 miles on 29.4 gallons of gas what was his gas mileage rounded to the nearest mpg?
vekshin1

Answer: 29 miles per gallon.

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Hope this helped!

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3 years ago
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Anna [14]

Given:

The slope of the line is -3.

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To find:

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Therefore, the required point slope form of the given line is y+2=-3(x-2).

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