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3 years ago

The square of a whole number 'n' lies between 80 and 150. Find all possible values for 'n'.

1 answer:

5 0

The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.

$\sqrt{80} \approx 8.9 \\
\sqrt{150} \approx 12.2$

n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.

The possible values for n are 9, 10, 11, and 12.

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vaieri [72.5K]

Answer and Step-by-step explanation:

If my calculations are correct,

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C. 3 bottles for 51 fluid ounces of water

For B and C, just plug in the values.

For A, it was 17 ounces for every bottle (b), so that's why it is multiplied together. This is then equal to w, the total volume of water in fluid ounces.

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2 years ago

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The Greek mathematician Eratosthenes (ca. 276-195 BC) measured the circumference of the earthfrom the following observations. He

denpristay [2]

Answer:

Radius of the Earth is 3978.8 Miles

Circumference of the Earth is 25000 Miles

Step-by-step explanation:

The angle of the sun shone at an angle of 7.2° to the zenith

This means that the angle of the sector of the circle is 7.2° (θ)

S = Length of the sector of the circle = 500 miles

r = radius of earth

Converting 7.2° to radians

$\theta =7.2\frac{\pi}{180}$

$S=r\theta\\\Rightarrow r=\frac{S}{\theta}\\\Rightarrow r=\frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow r=3978.8\ Miles$

∴ Radius of the Earth is 3978.8 Miles

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3 years ago

Which of the following is not a solution for the inequality 3x +2 < 12?

DIA [1.3K]

Answer:

x = 3.5 is not a solution

Step-by-step explanation:

3x +2 < 12

Subtract 2 from each side

3x +2-2 < 12-2

3x< 10

Divide each side by 3

3x/3 <10/3

x < 10/3

x <3.3333333

Any number greater than 3.3333 is not a solutions

3.5 is not a solution

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3 years ago

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irakobra [83]

Answer:

mode: number that appears most

mode=4 and 7

mean: =3+4+5+6+7+8+9+10+11÷9=7

so mean is 7

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1 year ago

Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome

Vika [28.1K]

Answer:

Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.

Step-by-step explanation:

Given that Miles takes a 350-mile round-trip flight to visit his parents, and to qualify for Gold status at Awesome Airlines, one must fly at least 7700 and less than 12600 miles each year, to determine how many times would Miles need to visit his parents each year to attain Gold status, the following calculation must be performed:

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3 years ago