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LenaWriter [7]
3 years ago
11

A solar panel generates 3/5 of a kilowatt of power . A warehouse wants to generate 24 kilowatts of power. Write an equation to f

ind how many solar panels the warehouse will need on its roof to generate 24 kilowatts of power. Solve the equation
Mathematics
2 answers:
Lelechka [254]3 years ago
3 0
3/5x=24

x= (24x5)/3
x= 120/3
x= 40 panels.
Pie3 years ago
3 0

Answer:

\frac{3}{5}s=24

40 solar panels.

Step-by-step explanation:

Let 's' be the number of solar panels.

We have been given that a solar pane generates \frac{3}{5} of a kilowatt of power. So 's' solar panels will generate \frac{3}{5}s kilowatts of power.

We are also told that a warehouse wants to generate 24 kilowatts of power. To find the number of solar panels, we will equate the power generates by 's' panels to power needed by ware house as:

\frac{3}{5}s=24

Upon multiplying both sides by 5 we will get,

5*\frac{3}{5}s=5*24

3s=120

Now, we will divide both sides of our equation by 3.

\frac{3s}{3}=\frac{120}{3}

s=40

Therefore, the warehouse will need 40 solar panels on its roof to generate 24 kilowatts of power.

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Direct Variation
olga2289 [7]

Answer:

<u>8 home theaters are sold for each $ 500 spent on advertising </u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Advertising ($)     1,000 - $ 2,000 - $ 3,000

Home Theaters      16      -    32       -    48

2. How many  home theaters does the company sell for each $500 spent on  advertising?

As we can see in the graph:

16 home theaters are sold when the amount on advertising is $ 1,000

32 home theaters are sold when the amount on advertising is $ 2,000

48 home theaters are sold when the amount on advertising is $ 3,000

Therefore, we can use this ratio:

x = Number of home theaters that are sold when the amount on advertising is $ 500

16/1,000 = x/500

1,000x = 500 *16

1,000x = 8,000

x = 8,000/1,000

<u>x = 8</u>

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3 years ago
Solve each of the following quadratic equations<br><br> 3x=0.5x^2<br><br><br> 0=5x^2-2x+6
UNO [17]

<u>Question 1</u>

<u />3x=0.5x^{2}\\\\6x=x^{2} \\ \\ x^{2}-6x=0 \\ \\ x(x-6)=0 \\ \\ \boxed{x=0, 6}

<u>Question 2</u>

<u />0=5x^{2}-2x+6 \\ \\ x=\frac{2 \pm \sqrt{(-2)^{2}-4(5)(6)}}{2} \\ \\ x=\frac{2 \pm \sqrt{-116}}{10} \\ \\ x=\frac{2 \pm 2i\sqrt{29}}{10} \\ \\ \boxed{x=\frac{1 \pm i\sqrt{29}}{5}}

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Answer:

The third option (foot/1 hour)

Step-by-step explanation:

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Step-by-step explanation:

the answer is 5

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