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sergey [27]
4 years ago
13

Rita earns $10 per hour. She puts 5% of her earnings in savings. Write an inequality to find how many hours h Rita must work to

save at least $25
Mathematics
2 answers:
LekaFEV [45]4 years ago
8 0

For this case we have the following rule of three:

10 $ ----------> 100%

x --------------> 5%

Where "x" is the variable that represents 5% of $ 10.

x = \frac {5 * 10} {100}\\x = 0.5

Then Rita saves 0.5 $ per hour.

She wants to save at least $ 25. Then, we propose the following inequality:

0.5h\geq 25

ANswer:

0.5h\geq 25

shtirl [24]4 years ago
3 0

The inequality that will help you find how many hours Rita must work would be: 0.05x 10 x h is greater than or equal to 25

<em>hope this helped you </em>

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a rectangular dog kennel is to be constructed alongside a house with 60m of fencing. If the house serves as one side of the kenn
Basile [38]

Answer:

450\text{ m}^2.

Step-by-step explanation:

Let x represent side of kennel opposite to house and y represent other sides.

We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.

Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:

x+y+y=60

x+2y=60

Let us solve for x.

x+2y-2y=60-2y

x=60-2y

The area of the kennel would be product of its sides that is:

\text{Area}=x\cdot y

Now, we will substitute x=60-2y in area equation as:

A(y)=(60-2y)\cdot y

A(y)=60y-2y^2

Let us find the derivative as shown below:

A'(y)=60-4y

Now, we will set derivative equal to 0 and solve for y.

60-4y=0

60=4y

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Upon substituting y=15 in area function, we will greatest possible area.

A(y)=60y-2y^2

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A(y)=450

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