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lisabon 2012 [21]
3 years ago
6

A menu offers a choice of 22 ​salads, 77 main​ dishes, and 55 desserts. How many different meals consisting of one​ salad, one m

ain​ dish, and one dessert are​ possible?
Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer:

70 different meals

Step-by-step explanation:

A menu offers a choice of 2 ​salads, 7 main​ dishes, and 5 desserts

There are 3 types of choices are given

each one have different choices. we need to select one salad, one main dish and one dessert

To find the number of different meals we multiply the different choices

2 \cdot 7 \cdot 5=70

so 70 different meals

You might be interested in
Daily high temperatures in St. Louis for the last week were as​ follows: 95​, 92​, 93​, 92​, 95​, 90​, 90 ​(yesterday). ​a) The
hichkok12 [17]

Answer:

a) T = 91.7 degrees

b) T = 90 degrees

c) MAD = 1.9

d) MSE = 5.05

Step-by-step explanation:

Given:

- Daily high temperatures in St. Louis for the last week were as​ follows:

                                   95​, 92​, 93​, 92​, 95​, 90​, 90

Find:

a) Forecast the high temperature today, using a 3-day moving average.

b) Forecast the high temperature today, using a 2-day moving average.

c) Calculate the mean absolute deviation based on a 2-day moving average, covering all days in which you can have a forecast and an actual temperature.

d) The mean squared error for the​ 2-day moving average​

Solution:

a)

- The set of 3 day moving average is as follows:

4.   (95 + 92 + 93) ÷ 3 = 93.33⁰C

5.  (92 + 93 + 92) ÷ 3 = 92.33⁰C

6.  (93 + 92 + 95) ÷ 3 = 93.33⁰C

7.  (92 + 95 + 90) ÷ 3 = 92.33⁰C

8.  (95 + 90 + 90) ÷ 3 = 91.667⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 91.7 degrees

b)

- The set of 2 day moving average is as follows:

3.   (95 + 92) ÷ 2 = 93.5⁰C

4.  (95 + 93) ÷ 2 = 92.5⁰C

5.  (93 + 92) ÷ 2 = 92.5⁰C

6.  (92 + 95) ÷ 2 = 93.5⁰C

7.  (95 + 90) ÷ 2 = 92.5⁰C

8. (90 + 90) ÷ 2 = 90⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 90 degrees

c)

                             Error             Error^2

3.   93.5⁰C            0.5                  0.25

4.   92.5⁰C            0.5                  0.25

5.   92.5⁰C            2.5                  6.25

6.   93.5⁰C            3.5                  12.25

7.   92.5⁰C            2.5                  6.25

8.   90⁰C

- The mean absolute deviation as follows:

                              MAD = Sum of all errors  / 5

                              MAD = (0.5+0.5+2.5+3.5+2.5)  / 5

                              MAD = 1.9

d)

- The mean squared error deviation as follows:

                              MSE = Sum of all error^2  / 5

                              MSE = (0.25+0.25+6.25+12.25+6.25)  / 5

                              MSE = 5.05

4 0
3 years ago
Find a comples solution of 2x^2+x+6=0 (if there is more than ine solution separate them with commas)
babunello [35]

Answer:

x = -1/4 + sqrt(47)/4 i  , -1/4 - sqrt(47)/4 i

Step-by-step explanation:

2x^2+x+6=0

using the quadratic formula

-b ±sqrt(b^2 -4ac)

--------------------------

 2a

-1 ±sqrt(1 -4(2)(6))

--------------------------

  2(2)

-1 ±sqrt( 1 - 48)

------------------

   4

-1 ± sqrt(-47)

-------------

     4

-1 ± sqrt(-1) sqrt(47)

-------------------------

    4

remember sqrt(-1) = i

-1 ± i sqrt(47)

----------------

  4

x = -1/4 + sqrt(47)/4 i  , -1/4 - sqrt(47)/4 i

6 0
4 years ago
On a map the distance from Akorn to Cleveland measures 2 cm what is the actual distance if the scale of the map shows that 1 cm
Leona [35]

Answer:

60km.

Step-by-step explanation:

if 1=30, 2=60, 3=90, and so on.

8 0
3 years ago
The three sides of a triangle are n, 3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each
mylen [45]

Answer:

6, 21, and 23 inches

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

  • This means that we can algebraically solve the equation n + 3n + 3 + 2n + 11 = 50

Step 1: Combine like terms.

  • (n+3n+2n) + (3+11) = 50
  • 6n + 14 = 50

Step 2: Subtract 14 from both sides.

  • 6n + 14 - 14 = 50 - 14
  • 6n = 36

Step 3: Divide both sides by 6.

  • 6n/6 = 36/6
  • n = 6

Step 4: Plug in the value of n as 6 in each side.

  • (6) + (3(6) + 3) + (2(6)+11) = 50
  • (6) + (18+3) + (12+11) = 50
  • (6) + (21) + (23) = 50  

Therefore, the side lengths are 6, 21, and 23 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
3 years ago
A person places $85800 in an investment account earning an annual rate of 8.5%,
QveST [7]

Answer:

$184383.7

Step-by-step explanation:

Using the formula :

V = Pe^rt

Principal, P = 85,800

Rate of interest, r = 8.5% = 0.085

Time = 9

V = 85800 * e^(0.085*9)

V = 85800 * e^0.765

V = 85800 * 2.1489943

V = 184383.71

V = $184,383.7

3 0
3 years ago
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