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Mila [183]
3 years ago
15

A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds

of fruit. What fraction of the total pounds of fruit and vegetables do the pounds of fruits represent?
Mathematics
1 answer:
Strike441 [17]3 years ago
4 0
Total amount of vegetables consumed per year are 208 pounds So per month, the amount of vegetables consumed would be 208 divided by 12 which is the number of months in a year, so : 208 ÷ 12 = 17.3 So the average person ate 17.3 pounds of vegetables per month. Likewise for the fruits we do the same calculation. 125 5/8 pounds can be written as 125.625 pounds when you make the fraction 5/8 into a decimal. Now we divide by 12, so: 125.625 ÷ 12 = 10.47 So the average person ate 10.47 pounds of fruits per month.
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Simplify.<br> y = (x + 1)2 -
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I'm blanking on how to do this, I learned it so long ago, any help would be greatly appreciated. More interested on how to do it
anyanavicka [17]

Answer:

\dfrac{16 y^{22}}{x^{10}z^{10}}

Step-by-step explanation:

Given expression is ,

\sf\longrightarrow \bigg(\dfrac{2x^3y^{-5}z^8}{8x^{-2}y^6z^3}\bigg)^{-2}

This would be simplified using the law of exponents , some of which I will use here are ,

  • (an)^m = a^m n^m
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Using the above laws ,

\sf \longrightarrow \bigg[ \dfrac{2}{8} \bigg(\dfrac{x^3}{x^{-2}}\bigg)\bigg(\dfrac{y^{-5}}{y^6}\bigg)\bigg(\dfrac{z^8}{z^3}\bigg)  \bigg]^{-2}

Using the second law mentioned above , we have,

\sf \longrightarrow \bigg[ \dfrac{1}{4}(x^{3+2})(y^{-5-6})(z^{8-3})\bigg]^{-2}

Simplify ,

\sf \longrightarrow \bigg[\dfrac{1}{4} x^5y^{-11}z^5\bigg]^{-2}

Using the first law mentioned above , we have,

\sf \longrightarrow \bigg[ \dfrac{1}{4^{-2}} x^{5(-2)} y^{-11(-2)} z^{5(-2)}\bigg]

Simplify,

\sf \longrightarrow 4^2x^{-10}y^{22} z^{-10}

Finally using the fourth law mentioned above , we have ,

\sf \longrightarrow \boxed{\bf \dfrac{16 y^{22}}{x^{10}z^{10}}}

<h3>Option K is the correct answer.</h3>
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2 years ago
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