United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}

425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}

425 + 312 + (6 * 12) {6 by 12 is 72.}

425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}

737 + 72

809 km²

The area of this figure is 809 km².

Answer:

Help you with what?

Answer:

Answer H

Step-by-step explanation:

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Answer:

a10 = 15

an = 6n - 45

Step-by-step explanation:

a12 = 27 = a + 11d - eq 1

a14 = 39 = a + 13d - eq 2

eq 2 - eq 1

2d = 12

d = 6

a + 11(6) = 27

a + 66 = 27

a = -39

a10 = a + 9d = -39 + 9(6) = 15

Tn = a + (n-1)d

-39 + 6(n - 1)

-39 + 6n -6

an = 6n - 45

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

Answer:

(

1

)

(

5

/

3

)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it is -25x    X= each time he goes rock climbing

The experimental probability that Jason will roll a 2 is 3/14.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

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Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

Answer:

Step-by-step explanation:

A nonagon has nine sides.

The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.

Each interior angle = 180°-exterior angle = 140°.

13x + 10° = 140°

x = 10°

30%....................................

Answer:  At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68

Step-by-step explanation: u divide

Answer:

13

Step-by-step explanation:

Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.

-2(-5)+3=13

Answer:

The predicted average price for 2014 is of $38,304.

Step-by-step explanation:

Linear model:

In a linear model, the average price increases by the same amount during each period.

In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.

In a period of 6 years, the increase was of:

28715 - 19126 = $9,589

Based on a linear model, what is the predicted average price for 2014?

Another period of 6 years, so it will increase by 9589 more. Than

28715 + 9589 = 38304

The predicted average price for 2014 is of $38,304.

Answer:

15.36mm

Step-by-step explanation:

The area of a triangle can be defined as B x H or L x H,

In your case, I'm assuming you meant base as length, so just plug into the equation:

L x H = 420.92mm2

27.4 x H = 420.92

H = 15.36

If you want to be exact, it is 15.3620438

The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.

The area of a rectangle is a product of is two adjacent sides i.e. length * width

Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36

Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

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Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

Solution :

It is given that a large institution is preparing food menus which contains foods A as well as B.

Each lunch provides :

10 units of carbohydrates

6 units of fats

7 units of proteins

The food from A cost = $0.12 per ounce

And food from B cost = $0.08 per ounce

Objective function :

[tex]$C= 0.12x+0.08y$[/tex]

Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]

Domain : [tex]$3 \leq x\leq 7$[/tex]

Range : [tex]$0\leq y\leq4$[/tex]

Answer:

angles 1 and 6

Step-by-step explanation:

Answer:

C. angle 2 and angle 7

Step-by-step explanation:

hope this helps, have a nice day :)

Answer:

(2,−4).

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

Answer: 3/10

Step-by-step explanation:

To get the value for the blank, treat it as a variable. Let’s say this blank is x.

x + 1/5 = 1/2

Subtract 1/5 from both sides:

x = 1/2 – 1/5

x = 3/10

The blank is 3/10.

Hope this helps!

Answer:

207,314

Step-by-step explanation:

V = πr2h =π  · 52·3 ≈ 235.61945 m^3

because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.

235.62 - 27.535  is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.

Answer:

10 - 15%

Step-by-step explanation:

Just guessing

Answer:

edf

Step-by-step explanation: