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Art [367]
3 years ago
11

Write the prime factorization of 4. Use exponents when appropriate and order the factors from least to greatest (for example, 22

35).
Mathematics
1 answer:
ra1l [238]3 years ago
7 0
Well the only prime factor that can go into 4 would be 2 (multiplied by) 2, but you could just say 2. Hope this helped! 
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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
The perimeter of the triangle.​
mel-nik [20]
In order to find the perimeter, all we have to do is add all three of the sides:
x^2 + 3 + 2x + 5 + 2x = 29
x^2 + 4x + 8 = 29

Subtract 29 from both sides:
x^2 + 4x - 21 = 0

Factor:
(x + 7)(x - 3) = 0
{-7, 3}

3 can be the only possible length, since a length can't be a negative number.

2x = 6
2x + 5 = 11
x^2 + 3 = 12
-T.B.
4 0
4 years ago
One side of a triangle is twice as long as a second side. The third
natta225 [31]

Answer:

The longest possible values of the other two sides are 7 ft  and 14 ft

Step-by-step explanation:

Let one side of the triangle be x and the other, 2x

Perimeter of a triangle = sum of all sides; i.e x+2x+33

Therefore, x+2x+12=33

Solve for x;

3x=33-12

3x=21

Divide both sides by 3; x=21/3

therefore, x=7 and

2x= (2*7) = 14

The longest possible values of the other two sides are 7 ft  and 14 ft

6 0
4 years ago
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
Tema [17]

For this case we have the following equation:

1 + 3x = -x + 4

We must solve the equation by following the steps below:

We subtract 1 from both sides of the equation:

3x = -x + 4-1

On the right side of the equation we have that different signs are subtracted and the sign of the major is placed:

3x = -x + 3

We add x to both sides of the equation:

3x + x = 3\\4x = 3

We divide between 4 on both sides of the equation:

x = \frac {3} {4}

Thus, the correct option is option B

Answer:

x = \frac {3} {4}

Option B

6 0
4 years ago
Read 2 more answers
* please explain work / show it thxsss!!**
serious [3.7K]

Answer:

All you need to do is to calculate the perimeter of the circle since you already had the diameter

Base on the picture, the perimeter should be:

C = d * π = 64 * 3.14 = 200.96 (m)

8 0
3 years ago
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