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Usimov [2.4K]
2 years ago
7

Solve for x: 4x – 7 = 8x + 33

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
6 0

Answer:

x = 10

Step-by-step explanation:

Hey there!

To solve this question we will use PEMDAS (order of operations)

4x−7=8x+33

Subtract 8x from both sides.

4x−7−8x=33

Combine 4x and −8x to get −4x.

−4x−7=33

Add 7 to both sides.

−4x=33+7

Add 33 and 7 to get 40.

−4x=40

Divide both sides by −4.

x= 40/-4

Divide 40 by −4 to get −10.

x=−10

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Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

\frac{100}{100} \times 1000 watts/m^{2}

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

8 0
3 years ago
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Suppose the population of a certain city is 5769 . It is expected to decrease to 4963 in 50 years. Find the percent decrease.
creativ13 [48]

Answer:

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Step-by-step explanation:

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Then you multiply it by 100 to transform it into percentage

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Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease

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Also you can say that is approximately  14%

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Step-by-step explanation:

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