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elixir [45]
3 years ago
12

Which answer choice correctly represents 0.513333… ?

Mathematics
1 answer:
Viktor [21]3 years ago
7 0
Answer = 3rd picture
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The most he can buy for each cupcake is 1.25
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4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface
White raven [17]
4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

\sf (\dfrac{3}{4})^2=\dfrac{S}{96}

Simplify the exponent:

\sf \dfrac{9}{16}=\dfrac{96}{S}

Cross multiply:

\sf 9S=1536

Divide 9 to both sides:

\sf S\approx 170.7~m^2

So the surface area of the second solid is 54 square meters.

The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

\sf (\dfrac{3}{4})^3=\dfrac{720}{V}

Simplify the exponent:

\sf \dfrac{27}{64}=\dfrac{720}{V}

Cross multiply:

\sf 27V=46080

Divide 64 to both sides:

\sf V\approx 1706.7~m^3

5.

A globe is a sphere, use the formula for the volume of a sphere:

\sf V=\dfrac{4}{3}\pi r^3

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

\sf V=\dfrac{4}{3}(3.14)(20)^3

Simplify the exponent:

\sf V=\dfrac{4}{3}(3.14)(8000)

Multiply:

\sf V\approx \boxed{\sf 33,493~in^3}
6 0
4 years ago
Read 2 more answers
2*2<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28300%29%20" id="TexFormula1" title=" \cos(300) " alt=" \cos(300) " align="ab
ankoles [38]

Step-by-step explanation:

\cos(300 \degree)  \\  \\  = \cos(360 \degree - 60\degree)  \\  \\  = \cos( 60\degree) \\  \\  =  \frac{1}{2}  \\  \\  \huge \orange{ \boxed{ \therefore \: \cos(300 \degree)  = \frac{1}{2}  }}

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3 years ago
in an aquarium 2/5 of the fish are surgeonfish of these 3/4 are yellow tangs what fraction of all fish in the aquarium are yello
Ilya [14]
Would it be 7 over 20
8 0
3 years ago
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