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ExtremeBDS [4]
3 years ago
15

What is 5.6 minus 4.8

Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

5.6 - 4.8 = 0.8

Step-by-step explanation:

5.6 - 4.8 = 0.8

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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
zubka84 [21]

Answer:

a) i The company should buy 40 gallons from dairy I and 60 gallons from dairy

ii) What is the maximum amount of​ butterfat? The total amount of butterfat from Diary I and Diary II = 3.12% + 1.93%

=5.05%

b.The excess capacity of dairy I is 10 ​gallons, and for dairy II it is 30 gallons.

Step-by-step explanation:

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?

From the question, we are told that:

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

Let's represent:

Number of gallons of Milk from dairy I = x

Number of gallons of Milk from dairy II = y

At most ​$144 is available for purchasing milk.

$2.40 × x + $0.80 × y = 144

2.40x + 0.80y = 144........ Equation 1

x + y = 100....... Equation 2

x = 100 - y

2.40(100 - y) + 0.80y = 144

240 - 2.4y + 0.80y = 144

-1.60y = 144 - 240

-1.6y = -96

y = -96/-1.6

y = 60

From Equation 2

x + y = 100....... Equation 2

x + 60 = 100

x = 100 - 60

x = 40

Therefore, since number of gallons of Milk from dairy I = x and number of gallons of Milk from dairy II = y

The company should buy 40 gallons from dairy I and 60 gallons from dairy

II. What is the maximum amount of​ butterfat?

From the question

Dairy I can supply at most 50 gallons averaging 3.9​% ​butterfat,

50 gallons = 3.9% butterfat

40 gallons =

Cross Multiply

= 40 × 3.9/50

= 3.12%

Dairy II can supply at most 90 gallons averaging 2.9​% butterfat.

90 gallons of milk = 2.9% butter fat

60 gallons of milk =

Cross Multiply

= 60 × 2.9%/90

=1.9333333333%

≈ 1.93%

The total amount of butterfat from Diary I and Diary II = 3.12% + 1.93%

=5.05%

b. The solution from part a leaves both dairy I and dairy II with excess capacity. Calculate the amount of additional milk each dairy could produce.

Excess capacity of Diary I =

50 gallons - 40 gallons = 10 gallons

Excess capacity of Diary II =

90 gallons - 60 gallons = 30 gallons

Therefore, the excess capacity of dairy I is 10 ​gallons, and for dairy II it is 30 gallons.

3 0
3 years ago
Can somebody help me please!!!
Effectus [21]

Answer:

Part A: 0

Part B: 0 or 1

Step-by-step explanation:

Part A: anything to the 0 power is 1 (x^0= x^y-y) if you solve 7^2 you get 49. 49^0= 1

Part B: Because it is already being raised to the power of 0, if x=0 it will remain equal to one (as explained above). Anything raised to the 1 power is itself, so 7^0= 1 and 1^1 =1

Hope this helped!

3 0
3 years ago
For a school play, Rico bought 3 adult tickets and 5 child tickets for $40. Sasha bought 1 adult ticket and 5 child tickets for
Serhud [2]

The cost of one adult ticket is $7.5 and one child ticket is $3.5

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+5y=40    Eqn 1

x+5y=25      Eqn 2

Subtracting Eqn 2 from Eqn 1

(3x+5y)-(x+5y)=40-25\\3x+5y-x-5y=15\\2x=15

Dividing both sides by 2

\frac{2x}{2}=\frac{15}{2}\\x=7.5

Putting x=2.5 in Eqn 1

3(7.5)+5y=40\\22.5+5y=40\\5y=40-22.5\\5y=17.5

Dividing both sides by 5

\frac{5y}{5}=\frac{17.5}{5}\\y=3.5

The cost of one adult ticket is $7.5 and one child ticket is $3.5

5 adult tickets = 5*7.5 = $37.5

3 child tickets = 3*3.5 = $10.5

Total = 37.5+10.5 =$48

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/3071107
  • brainly.com/question/3126500

#LearnwithBrainly

8 0
3 years ago
How many miles are in 234,230 feet ?
trapecia [35]

Answer:

in 234,230 feet there are 44.36 miles

8 0
3 years ago
Read 2 more answers
What is the volume of this prism?
poizon [28]

Answer:

26.25 cubic inches

Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply together the lengths of all the varying side lengths. 3\frac{1}{2}\cdot5\cdot 1\frac{1}{2}=26.25. Hope this helps!

7 0
3 years ago
Read 2 more answers
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