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marin [14]
1 year ago
10

How do you do this? This is algebra

Mathematics
1 answer:
CaHeK987 [17]1 year ago
7 0

Answer: -23<=x<1

Step-by-step explanation:

-3<=(11+x)/4 < 3

-3*4<=(11+x)<3*4

-12<=(11+x)<12

-12-11<=x<12-11

-23<=x<1

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A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I co
lisov135 [29]

Answer:

The complete solution and step by step explanation is written below.

<em>Note:</em>

Here is the complete question you were probability asking as you may have unintentionally missed to mention the parts (a) and (b). So, after a little research, I figured out that this was probably the complete question you had meant to ask. So, I am answering based on the reference of this complete question that may indeed clear your concepts.

Complete Question:

<em>A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs ​$2.40 per​ gallon, and milk from dairy II costs ​$0.80 per gallon. At most ​$144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.9​% ​butterfat, and dairy II can supply at most 80 gallons averaging 2.9​% butterfat. Answer parts a and b</em>.

<em>A. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount of butterfat? (Also, what IS the maximum amount of butterfat?)</em>

<em>B. The solution from part A leaves both dairy 1 and dairy 2 with excess capacity. Calculate the amount of additional milk each dairy could produce.</em>

Step-by-step explanation:

Let A be number of gallons of the amount of milk the company bought from Dairy 1.

(100 - X) be the number of gallons of the amount of milk the company bought from Dairy 2.

Milk from dairy I costs ​$2.40 per​ gallon and milk from dairy II costs ​$0.80 per gallon.

So, the equation of total cost available for purchasing the milk be:

                            Cost =  2.40A + ( 100 - A)0.80

As $144 is the total cost available for purchasing the milk.

Hence, Cost equation would be as follows:

                             Cost =  2.40A + ( 100 - A)0.80

                               144 =  2.40A + ( 100 - A)0.80

                               144 = 2.40A + 80 - 0.80A

                              1.6A = 64

                            So, A = 64 ÷ 1.6

                                      = 40 gallons

<em>Calculation of gallons of Dairy 1 and Dairy 2:</em>

gallons of Dairy 1 ⇒ A = 40 gallons

gallons of Dairy 1 ⇒ 100 - A = 100 - 40 = 60 gallons

<em>The equation for Fat will be:</em>

Fat for dairy 1 = 40 × 3.9​% = 1.56

Fat for dairy 2 = 60 × 2.9​% = 1.74

ADD = 1.56 + 1.74 = 3.3 %

<em>Calculation Part B:</em>

Dairy 1 will have = 50 - 40 = 10 gallons ( excess)

Dairy 2 will have = 80 - 60 = 20 gallons (excess)

   

Keywords: word problem, equation solving

Learn more about word problems and equation solving from brainly.com/question/8917703

#learnwithBrainly

5 0
3 years ago
Solve x + x + 2 + 2x = -2 for x
kakasveta [241]

Answer:

-1

Step-by-step explanation:

4x=-4

X = - 1

That's itt

8 0
3 years ago
The computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associ
Vinvika [58]

Answer:

The probability of the system being down in the next hour of operation is 0.3.

Step-by-step explanation:

We have a transition matrix from one period to the next (one hour) that can be written as:

T=\left[\begin{array}{ccc}&R&D\\R&0.7&0.3\\D&0.2&0.8\end{array}\right]

We can represent the state that system is initially running with the vector:

S_0=\left[\begin{array}{cc}1&0\end{array}\right]

The probabilties of the states in the next period can be calculated using the matrix product of the actual state and the transition matrix:

S_1=S_0\cdot T

That is:

S_1=S_0\cdot T= \left[\begin{array}{cc}1&0\end{array}\right]\cdot \left[\begin{array}{cc}0.7&0.3\\0.2&0.8\end{array}\right]= \left[\begin{array}{cc}0.7&0.3\end{array}\right]

With the inital state as running, we have a probabilty of 0.7 that the system will be running in the next hour and a probability of 0.3 that it will be down.

7 0
3 years ago
The length of a rectangle is 3 less than 4 times the width. If the perimeter is 90 cm, what is the width? What is the length?​
Arada [10]

x+(4x-3)=90.

5x-3=90.

5x=93.

x=18.6.

7 0
3 years ago
WILL GIVE BRAINLIEST! What is the constant of proportionality between cups of rice and cups of water shown in this table?
algol [13]

Answer:

E (none of the above)

Step-by-step explanation:

1 = k(1.5)

2 = k(3)

Therefore, k = 2/3

and when we put k = 2/3 into all values in the table we notice it is right

but it could be "A" also if the relationship was cups of water to cups of rice

7 0
3 years ago
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