<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%285x%20-%209%20%29%20%3D%202%20%28%5Cfrac%7B1%7D%7B3%7D%20%2B%206%20%

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2 years ago

29" id="TexFormula1" title="\frac{1}{2} (5x - 9 ) = 2 (\frac{1}{3} + 6 )" alt="\frac{1}{2} (5x - 9 ) = 2 (\frac{1}{3} + 6 )" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Tatiana [17]2 years ago

7 0

Answer: 103/15

Step-by-step explanation:

We can simplify the right-hand side to be $2 \left(\frac{1}{3}+6 \right)=2 \left(\frac{19}{3} \right)=\frac{38}{3}$ .

This means we need to solve:

$\frac{1}{2}(5x-9)=\frac{38}{3}\\5x-9=\frac{76}{3}\\5x=\frac{103}{3}\\x=\boxed{\frac{103}{15}}$

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A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose fr

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Answer: She could create 60 platters.

Step-by-step explanation:

Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.

Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

So, the number of combinations of selecting 2 different vegetables from 6 = $^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15$

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= 15 x 4

= 60

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