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AleksAgata [21]

2 years ago

10

A restaurant offers 77 possible appetizers, 1515 possible main courses, and 99 possible desserts. how many different meals are

possible at this restaurant? (two meals are considered different unless all three courses are the same).

1 answer:

JulsSmile [24]2 years ago

6 0

First you need to multiply all the numbers to get 11548845 and then for example you need to do this (77*1515)+(77*99)+(99*1515) = 274263 to get and then you need you need to add 77,1515,99 to get 1691 and then you add 11548845, 274263, and 1691 to get 11824799 and that is the total number of possible outcomes of meals that you can get.
<em> hope this helps you and the the reason I explained is so you dont have to ask this type of question again.</em>

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Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

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$\implies a=0----(1)$

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$=\frac{-3m-2}{1}$

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$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

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$9b^4=m^2$

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$9(\frac{9m^2+4+12m}{100})=m^2$

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$-19m^2+108m+36=0$

$19m^2-108m-36=0$

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$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

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The statement indicates that Sandra saves 9% of her salary and she saved $4,050 this year. That means that the 9% of her salary, x, is equal to $4,050. You can write the following:

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