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Ratling [72]
3 years ago
6

Alkena and Hsu together earn $84,369 per year, If alkena earns $12,468 more per year than Hsu, the how much of them earn per yea

r?
Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer:

Hsu makes $35,950.50 and Alkena makes $48,418.50

Step-by-step explanation:

Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:

a + h = 84,369

a = h + 12,468

Solve by substitution by plugging in h + 12,468 as a:

h + 12,468 + h =  84,369

2h + 12,468 = 84,369

2h = 71,901

h = 35,950.50

Plug this into the equation, a = h + 12,468 , to solve for a

a = 35,950.50 + 12,468

a = 48,418.50

So, Hsu makes $35,950.50 and Alkena makes $48,418.50

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Purchasing a TV that is 20% off will save $180.
Flauer [41]

Answer:

$900

Step-by-step explanation:

a)Off given on purchasing a TV=  20%

20% on TV = $ 180

Let the original price of TV set $ x

According to question,

20% of x= $180

\frac{20}{100} ×x= $180

x = $ 180× 5

x= $ 900

Hence, Original price of TV set= $ 900

b)  By second method,

20%= $180

1%= $ 9

100% = $900

Hence, the original price $ 900

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Need help ASAP!!! Write two ratios that are equal to 3 girls to five boys
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Here you go:

3 to five or 5 to 3
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Vladimir [108]

Answer:

12

Step-by-step explanation:

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3 years ago
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For the weight of the box that she measured, Beatriz determined the margin of error as 23.5 pounds to 24.5 pounds. What was the
Marat540 [252]
The greatest possible error is 0.5lb.

The GPE is one half of one unit, no matter which unit you're using or the margin of error you have.

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3 years ago
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Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by
Cerrena [4.2K]

Answer:

$91.67.

Step-by-step explanation:  

We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.

A. Let us find area covered by nylon by multiplying 10 by 8.

\text{ Amount of Nylon needed to cover the garden}=10\text{ feet}*8\text{ feet}

\text{ Amount of Nylon needed to cover the garden}=80\text{ feet}^{2}

Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

\text{ Amount of Nylon needed to cover the garden}=80*0.111111\text{ yards}^{2}

\text{ Amount of Nylon needed to cover the garden}=8.88889\text{ yards}^{2}

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.

\text{ Cost of Nylon cover of the garden}=8.88889*5.25

\text{ Cost of Nylon cover of the garden}=46.6666725\approx 46.67

Therefore, the cost of nylon cover will be $46.67.

B. Now let us find length of rope by finding the perimeter of the garden.

\text{Length of rope}=2(10+8)\text{ feet}

\text{Length of rope}=2(18)\text{ feet}

\text{Length of rope}=36\text{ feet}

Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.

\text{Cost of rope}=36*1.25

\text{Cost of rope}=45

Therefore, the cost of rope will be $45.

To find the total cost to make the cover we will add cost of nylon cover and cost of rope.

\text{Total cost to make the cover}=45+46.67

\text{Total cost to make the cover}=91.67

Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.

7 0
3 years ago
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