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3 years ago

The pay collected for working per hour is known as your hourly wage. It varies directly linearly with the hours that you work

Mathematics

1 answer:

nekit [7.7K]3 years ago

8 0

The hourly wage is $20 per hour and working for 5 hours earns $100

Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.

Let y represent the total wage and let x represent the number of hours worked.

A) Since $100 is earned for 5 hours, hence:

Hourly wage = $100/5 hours

Hourly wage = $20 per hour

B) The linear relationship is given by:

y = 20x

C) Working for 5 hours gives:

y = 20(5)

y = $100

Find out more at: brainly.com/question/12876272

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In 4 hours, an experienced cook prepares enough pies to supply a local restaurant's daily order. Another cook prepares the sam

vodka [1.7K]

Answer:

$9\frac{1}{3}hours$

Step-by-step explanation:

Let third cook take x hours to prepare the same number of pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies= $\frac{y}{x}$

One experienced cook takes time to prepare enough pies =4 hours

In 1 hour , cook prepare pies= $\frac{y}{4}$

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies= $\frac{y}{7}$

All three cooks take time to prepare the same number of pies=2 hours

In 1 hour,all three cooks prepare pies= $\frac{y}{2}$

According to question

$\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}$

$y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}$

$\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}$

$\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}$

$\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}$

$x=\frac{28}{3}=9\frac{1}{3}$ hours

Hence, the third cook takes time to prepare the same number of pies alone= $9\frac{1}{3}hours$

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3 years ago

Makayla is teaching Rodney how to construct a square inscribed in a circle.

Yuliya22 [10]

Answer:

Step-by-step explanation:

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The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, bu

ArbitrLikvidat [17]

This is easy if im right then it should be 1,000 because look at it this way they charge 55$ and they need to raise 55,000$ and what number has three zeros right off your 1,000 right so times that together and its 55,000

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3 years ago

Draw the line of reflection that reflects AABC onto AA'B'C'. please help!!

GREYUIT [131]

Answer: <em>Line of reflection is y = 2 x + 2</em>

Step-by-step explanation: <em> I Hope this helps</em>

4 0

2 years ago

ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilatera

Dima020 [189]

Given : - Square ABCD with side 3. E and F as midpoints.
To find : - area of EBFD

Solution : - We have, area of square ABCD = 3 x 3 = 9 units.

Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF

arDAE = 1/2 x base x height

=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25

arDFC = 1/2 x base x height
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25

Thus, (ar) EBFD = arABCD - arDAE - arDCF

= 9 - 2.25 - 2.25

= 4.5 units.

Thus, area of quad EBFD is 4.5 units.

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3 years ago