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mr Goodwill [35]
3 years ago
11

A book club has 36 members. There are 24 boys and 12 girls in the club. What is the ratio of the number of boys in the club to t

he number of girls in the club?
Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Step-by-step explanation:

Ratios can be written as:

a to b

a:b

a/b

We want to find boys to girls, and there are 24 boys and 12 girls. So, we can write it as

24 to 12

24:12

24:2

All of these can be reduced, since both the numerator and denominator can be divided by 12.

Numerator: 24/12=2

Denominator: 12/12=1

2 to 1

2:1

2/1

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The 6 consecutive integers below add up to 447. x − 2 x − 1 x x + 1 x + 2 x + 3 what is the value of x ? f. 72 g. 73 h. 74 j. 75
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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}

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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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