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TiliK225 [7]
2 years ago
5

How can you get the variable alone in the equation x ÷ 9 = 279?

Mathematics
1 answer:
labwork [276]2 years ago
5 0
D

Because to cancel out division you use multiplication
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Let, the original price = x
x = 45 * 125 /100
x = 45 * 1.25
x = 56.25

So, your final answer is $56.25

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A bag contains 10 colored marbles - 4 red, 4 blue and 2 green.
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Using your knowledge of exponential and logarithmic functions and properties, what is the intensity of a fire alarm that has a s
Ierofanga [76]

Option B:

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Solution:

Given sound level = 120 decibel

To find the intensity of a fire alarm:

$\beta=10\log\left(\frac{I}{I_0} \right)

where I_0=1\times10^{-12}\ \text {watts}/ \text m^2}

Step 1: First divide the decibel level by 10.

120 ÷ 10 = 12

Step 2: Use that value in the exponent of the ratio with base 10.

10^{12}

Step 3: Use that power of twelve to find the intensity in Watts per square meter.

$10^{12}=\left(\frac{I}{I_0} \right)

$10^{12}=\left(\frac{I}{1\times10^{-12}\ \text {watts}/ \text m^2} \right)

Now, do the cross multiplication,

I=10^{12}\times1\times\ 10^{-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{12-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{0} \ \text {watts}/ \text m^2}

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Option B is the correct answer.

Hence I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}.

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3 years ago
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Trava [24]

Answer:

Both expressions are = to 11 when x is 2.

Therefore, the expressions are equivalent.

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