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3 years ago

Given that 3 x : 10 = 5 : 2 Calculate the value of x .

Mathematics

1 answer:

borishaifa [10]3 years ago

7 0

$\tt{ 3x:10=5:2 }$ ⠀

$\tt{\dfrac{3x}{10}=\dfrac{5}{2} }$ ⠀

$\tt{3x×2=10×5 }$ ⠀

$\tt{6x=50 }$ ⠀

$\tt{x=\dfrac{50}{6} }$ ⠀

$\tt{ x=\dfrac{25}{3}}$ ⠀

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Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete

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Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

Volume of the grapefruit

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

$V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3$

Volume of the lime

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

$V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3$

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$

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2 years ago

The space inside a circle is the ___ of the circle. circumference diameter area radius

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Area is the inside of the circle

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Slope is 2, and (3,8) is on the line. Please help :(

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2 years ago

Factor out the coefficient of the variable 1/2q plus 5/2

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I believe you do it like this:
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sasho [114]

Answer:

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Step-by-step explanation:

1/3 + 1/6 = 1/2

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