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harkovskaia [24]
3 years ago
15

Margaret’s favorite restaurant has 3 specials every day. There are 2 choices of vegetable and 3 choices of dessert. How many dif

ferent meals could Margaret have if she chooses one special, one vegetable, and one dessert?
Question 8 options:

A. 24


B. 6


C. 18


D. 8
Mathematics
2 answers:
astraxan [27]3 years ago
6 0
That would be 8 you just add them up.
VMariaS [17]3 years ago
5 0

Answer:

b

Step-by-step explanation:

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An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera
atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

Cost = 51.275

Step-by-step explanation:

The given parameters can be summarized as:

\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}

Where: x = Soybeans and y = Oats.

So, the system of equations are:

70x + 21y = 168

9x +7y = 27

7x + y = 14

Cost = 21x + 7y

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

70x + 21y = 168

9x +7y = 27

7x + y = 14

From the attached graph, we have:

(x_1,y_1) = (1.636,2.545)

(x_2,y_2) = (1.775,1.575)

(x_3,y_3) = (2.023,1.256)

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

Cost = 21x + 7y

(x_1,y_1) = (1.636,2.545)

Cost = 21 * 1.636 + 7 * 2.545

Cost = 52.171

(x_2,y_2) = (1.775,1.575)

Cost = 21 * 1.775 + 7 * 1.575

Cost = 48.3

(x_3,y_3) = (2.023,1.256)

Cost = 21 * 2.023 + 7 * 1.256

Cost = 51.275

The values of x and y that gives the minimum cost is:

(x_2,y_2) = (1.775,1.575)

and the minimum cost is:

Cost = 48.3

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0
3 years ago
- 17% of what is 156?​
mihalych1998 [28]

Answer:

0.17 !!!!!!!

Hope this helps you!!!!!

Step-by-step explanation:

5 0
3 years ago
A packing company needs to know how much cardboard will be required to make boxes 18 inches long, 12 inches wide and 10 inches h
antoniya [11.8K]

Answer:

40

Step-by-step explanation:

6 0
3 years ago
Please help me!!<br> I need to find the point!!!! (x,y)
natali 33 [55]

Answer:

x=2 y=-2

Step-by-step explanation:

you can solve this with the elimination process

-10x+6y=-32

-6x+6y=-24

you can multiply the bottom equation by a -1

-10x+6y=-32

-1(-6x+6y=-24)

making it

-10x+6y=-32

6x-6y=24

this allows you to cancel out 6y because 6y-6y=0

so you are left with

-10x=-32

6x=24

add them

-10x=-32

+6x=24

________

-4x=-8

divide by -4=2

x=2

plug that into the original equation

-10(2)+6y=-32

-6(2)+6y=-24

=

-20+6y=-32

-12+6y=-24

add them

-20+6y=-32

+-12+6y=-24

_________

-32+6y=-56

add 32

-56+32=-24

y=-24

4 0
2 years ago
Which of the following represents the factorization of the trinomial below?
Sphinxa [80]

Answer:

-2(x + 1)(x + 6)  

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  -2x^3-14x^2 - 12x

Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.  

This quotient is also easily factored:

-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6)  =  -2(x + 1)(x + 6)  

7 0
3 years ago
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