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3 years ago

A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. if customers choose one salad, o

ne main course and two different desserts for their meal, how many different meals are possible?

Mathematics

1 answer:

kobusy [5.1K]3 years ago

4 0

$8\cdot5\cdot C(6,2)=40\cdot\dfrac{6!}{2!3!}=40\cdot\dfrac{4\cdot5\cdot6}{2}=2,400$

You might be interested in

1. Solve the system of equations using the linear combination method.

goldfiish [28.3K]

The linear combination method involves multiplying, adding and subtracting in such a way that allows one variable to be eliminated in the addition or subtraction step. This leaves the other variable alone, allowing its value to be determined.

1. 5m+3n=41, 3m−6n=9
Multiply 1st equation by 2: 10m + 6n = 82
Add to 2nd equation: 13m = 91
Divide by 13: m = 7
Substitute back to 1st equation: n = 2
Therefore m = 7 and n = 2.

2. 6g+8h=40 −6g+2h=−20
Add both equations: 10h = 20
Divide by 10: h = 2
Substitute to 1st equation: g = 4
Therefore g = 4 and h = 2.

3. 9x+5y=35 2x+5y=0
Subtract 1st equation by the 2nd equation: 7x = 35
Divide by 7: x = 5
Substitute back to the 1st equation: y = -2
Therefore x = 5 and y = -2.

8 0

4 years ago

if the length of the rectangle is twice the width and the perimeter of the rectangle is 30 centimeters what is the length of the

Dominik [7]

If the perimeter equals 30 and the length is twice the width, then the length is equal to 20 and the width is equal to 10.

7 0

4 years ago

A community college employs 88 full-time faculty members. To gain the faculty's opinions about an upcoming building project,

Ierofanga [76]

The numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9

<h3>How to determine the number that will be included in the sample?</h3>

The complete question is added as an attachment

The given parameters are:

Row = 3

Column = 6

From the attached figure, the entries in row 3 are:

4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7 1

From the attached figure, the entries in column 6 are:

1, 6, 9, 5, 4, 9

Hence, the numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9

Read more about samples at:

brainly.com/question/14470673

#SPJ1

3 0

2 years ago

The graph of a quadratic function does not cross the x-axis, but crosses the y-axis in one place.

natulia [17]

Answer: D

Step-by-step explanation:

A quadratic function has a degree of 2 so there will be two roots. The statement says the function does NOT CROSS THE X-AXIS so there are no real roots. That means both roots must be imaginary (complex).

5 0

3 years ago

An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at le

hoa [83]

Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

Instead we use the complement rule to calculate.

$P(x\geq1)=1-P(x$

So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.

In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

$P(x\geq1)=1-(\frac{1}{2})^{10}=0.999$

So the answer is 0.999 (rounded to nearest thousandth)

3 0

3 years ago