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Mamont248 [21]
3 years ago
9

Duncan has cups of sand. He divides the sand equally into 4 containers. He uses all the sand in 1 container to make pieces of sa

nd art. It takes cups of sand to complete each piece of sand art. How many pieces of sand art does Duncan make? A. 1 2/3 B. 2 C. 4 D. 5 5/9
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

4

Step-by-step explanation:

From the above question:

1/4 cup of sand = 1 sand art

1 cup of sand = x

Cross Multiply

x × 1/4 cup of sand = 1 cup of sand × 1 sand art

x = 1 cup of sand × 1 sand art/1/4 cup of sand

x = 1 ÷ 1/4

x = 1 × 4

x = 4 pieces sand art

Therefore, Duncan can make 4 pieces of sand art.

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\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4}

First cross out the -6 and -36. Six will go into 6 one time and 6 will go into -36 six times so we have the following after crossing out.

\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4}
\frac{xy^{3}z^5}{6x^{2}y^{2}z^4} <---After crossing out

Next cross out the x / x^2 which will give us the following:
\frac{xy^{3}z^5}{6x^{2}y^{2}z^4} 
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Now cross out the y^2 / y^3
\frac{y^{3}z^5}{6xy^{2}z^4}
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All that is left is to cross out the z^5 / z^4 and we are done.
\frac{yz^5}{6xz^4}
\frac{yz}{6x} <----After crossing out and we are done.

\frac{-6xy^{3}z^5}{-36x^{2}y^{2}z^4} = \frac{yz}{6x}





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