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Margaret [11]
3 years ago
7

Help Plez :> Thank Youuuuu

Mathematics
1 answer:
Flura [38]3 years ago
5 0

I believe the answer should be 1953

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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
A certain company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a
Brrunno [24]

Answer:

A certain company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a battery is normally distributed, with a mean of 50 months and a standard deviation of 9 months. If the company does not want to make refunds for more than 10% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries?

The company should guarantee the batteries for 38 months.

Step-by-step explanation:

Using standard normal table,

P(Z < z) = 10%

=(Z < z) = 0.10

= P(Z <- 1.28 ) = 0.10

z = -1.28

Using z-score formula  

x = zσ  + μ

x = -1.28 *9+50

x = 38

Therefore, the company should guarantee the batteries for 38 months.

4 0
3 years ago
Read 2 more answers
A Pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?
postnew [5]

The another way to state the transformation would be (x,y)>(-x,-y)

<u>Solution:</u>

Rotation about the origin at 180^\circ: R_{180^\circ}A \rightarrow O = R_{180^\circ} (x, y) \rightarrow (-x,-y)

The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to 180^\circ about the origin.

So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of 180^\circ.

Hence according to the representation, the expression would be (x, y) \rightarrow (-x, -y).

8 0
3 years ago
Read 2 more answers
What is the value of x?
Hoochie [10]

Answer:

Answer 7

Step-by-step explanation:

This depends on setting up a proportion

5:45 ::  3: 3 + 2x + 10

You can reduce 5 / 45

5/45 = 1/9

1:9 :: 3:3 + 2x + 10

1:9 :: 3: 2x + 13

1/9 = 3/(2x + 13)                 Cross Multiply

2x + 13 = 3*9

2x + 13 = 27                      Subtract 13

2x + 13 - 13 = 27 - 13

2x = 14                              Divide by 2

2x/2 = 14/2                        Divide

x = 7

3 0
3 years ago
Ben began peeling a pile of 64 potatoes
klasskru [66]

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let t represent the time after Tom joined.

number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10

number of potatoes peeled by Tom = 4t

Since they are 64 potatoes, hence:

2t + 10 + 4t = 64

t = 9 minutes

number of potatoes peeled by Tom = 4(9) = 36 potatoes

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

Find out more on equation at: brainly.com/question/2972832

4 0
2 years ago
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