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3 years ago

You have a bag of marbles that contains, 7 red, 4 green, and 5 yellow

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

3 0

Answer:

i hope my answer help you

Step-by-step explanation:

the probability to pull out a green marble=4/16 ( simplest form =1/4)

the probability to pull out a green marble after replace the previous marble=3/15 (simplest form =1/5)

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Add parentheses to make 5×9-4×6

Ivanshal [37]

(5x9)-(4x6) if you add parenthese

8 0

3 years ago

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

Dominic spent 2 3/4 hours on his art project. Rachel worked 1 1/3 times as long on her rt project as Dominic worked. For how man

Travka [436]

Dominic = 2 3/4

Rachel = 1 1/3 x 2 3/4 = 11/3 = 3 2/3 hour

Answer: 3 2/3 hour

3 0

3 years ago

Read 2 more answers

Sorry for the quality, if anyone could help. It’s geometry.

user100 [1]

Answer:

Step-by-step explanation:

8 0

3 years ago

What do I have to do

kondaur [170]

Answer:

if you put 4.25 on a number line then the OPPOSITE of that would be going across the 0 on the number line so the answer -4.25

Step-by-step explanation:

if the number is negative its opposite is that number but positive and the same thing if the number is positive its opposite is a negative

8 0

3 years ago