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Alex73 [517]
3 years ago
14

The variable z is inversely proportional to x. When x is 19, z has the value 0.10526315789474. What is the value of z when x= 28

? Round to at least the thousandths place if needed.
Mathematics
1 answer:
telo118 [61]3 years ago
6 0

When two variables are inversely proportional the relation between them can be written as:

z=\frac{k}{x}

Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.

k=zx\\ \\  k=0.10526315789474(19)\\ \\  k=2

The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:

z=\frac{2}{x}

We have to find the value of z when x=28. So replacing x by 28, we get:

z=\frac{2}{28}\\  \\  z=0.07142857143

Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.

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How many times longer is the wavelength of a sound wave with a frequency of 20 waves per second than the wavelength of a sound w
sergejj [24]

The sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec

<h3>Calculating wavelength </h3>

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

f is the frequency

and λ is the wavelength

For the first wave

f = 20 waves/sec

Then,

λ₁ = v/20

For the second wave

f = 16,000 waves/sec

λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

λ₁/ λ₂ = (v/20) ÷( v/16000)

= (v/20) × 16000/v)

= 16000/20

= 800

Hence, the sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec

Learn more on Calculating wavelength here: brainly.com/question/16396485

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6 0
1 year ago
A map has a scale of 1 in. : 38 ft use the given map distance to find the actual distance
Dvinal [7]

Answer:

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Step-by-step explanation:

8 0
2 years ago
| 1. Write the list of numbers in ascending order.<br> &amp;, 12%, 0.13, 1/8, )<br> 128/1,000)
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Answer:

12%, 1/8, 128/1,000, 0.13

Step-by-step explanation:

12% = .12

1/8 = .125

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8 0
3 years ago
helene was paid a total of $33.00 for the 6 hours she worked. she continues to be paid at the same rate. how long would it take
natita [175]

The number of hours that helena need to work to generate 165 dollars is

33 hours.

Helena has to work hours to earn $165. 33

Algebraic equations are equations with

unknown variables. The alphabet letters are used to represent algebraic equations.

Total $33.00 in her 6 hours she worked.

This question should find out how long it takes her to earn her $165.00 in that job.

let x hours be required work hours to earn $165.00 ..

This can be expressed in algebraic equations as:

x= 6× 165/33

x= 990/33

x= 30

Hence, helna have to work thirty hours to earn $165.00 ..

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