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konstantin123 [22]
3 years ago
9

in the school cafeteria students chose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. how many different lunche

s are possible for a student who chooses exactly 1 sandwich, 1 soup, 1 salad, and 1 drink?
Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

Answer:

3

×

3

×

4

×

2

=

72

Explanation:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

×

4

×

2

=

72


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The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Let c represent the number of cookies and let b represent the number of brownies.

Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:

c + b ≥ 125   (1)

Also, Genie has a total of 2,000 grams of flour, hence:

8c + 12b ≤ 2000  (2)

Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

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8 0
3 years ago
. In a study about the relationship between the age of a person and the preference for digital vs analog watches, which of the f
Daniel [21]

Answer:

B and the first d and second one.

Step-by-step explanation:

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6 0
3 years ago
Another fair dice is rolled 300 times. How many times would you expect it to land with a multiple of three on top? I need help t
ira [324]

Answer:

100 times

Step-by-step explanation:

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probability of rolling a '3' or '6' is 1/6 + 1/6 = 2/6 or 1/3

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7 0
3 years ago
Marcus earned $54,000 last year when the Social Security tax was 6.2% of income up to $94,200. His Medicare tax was 1.45%. How m
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Answer

Social security tax amount = $3348

Medicare tax amount = $743

Step by step explanation

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Social security tax amount = $3348

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Medicare tax amount = 54000*0.0145

Medicare tax amount = $743

Hope this will help you.

6 0
3 years ago
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4 times 12345678901245689
jeka94

Answer:

The answer is 4.93827156*10^16 or 49,382,715,600,000,000

Step-by-step explanation:

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