Answer:
x is 30/7
Step-by-step explanation:
You want to isolate x.
First, solve 5 * 6/7. The answer is 30/7.
Next, divide both sides by 6/7. This will cancel out the 6/7 on the left . For the right, when dividing fractions, you must take the reciprocal of the second fraction and multiply by it. So instead of having 30/7 divided by 6/7, you will have 30/7 * 7/6. The answer is 210/45 which simplifies to 5.
Third, you want to divide both sides by 7/6. Again the 7/6 on the left will be cancelled out. And you must do 5 * 6/7. In order to make the 5 look like a fraction to reduce confusion, you can set it over 1 (thus, you would do 5/1 * 6/7). The answer is 30/7.
You can plug it back into the equation to check.
Answer:

Step-by-step explanation:











Answer:
It is 40% off!
Step-by-step explanation:
Since 50 x 2 is 100, you only have to double both numbers.
100 decreased to 60 is subtracting 40. It is 40% off!
The equation to model the situation is
. The constant for the variation is 2250.
<h3>What is the intensity of light?</h3>
The intensity of light from a lantern varies inversely to the square of the distance from the lantern.
From the given information:
- Let y be the intensity of light, and
- x be the distance from the lantern
Then:

here, k = constant.
2.
If y = 90 W/m² when the distance x = 5m
Then:

k = 90 × 25
k = 2250
c.
The equation to model the situation by using the constant variation is:

d.
If the light intensity y = 40, then x is determined as:


x = 7.5 m
e.
The light is needed in (225 × 1000)m = 225000 km of illumination.
f.
The lantern required for the new light estimation is:
y = 2250/225000
y = 0.01 intensity
Therefore, we can conclude that to get an intensity of 1 W/m², we need to put 100 lanterns.
Learn more about intensity of light here:
brainly.com/question/19791748
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