Say hi for a big reward. :)

Answer:

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )  

Subject to the constraints  

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

Step-by-step explanation:

Firstly lets consider Xs1 and Xs2 to be the number of pounds of silicon used in fertilizer1 and fertilizer2 respectively

Also let Xn1 and Xn2 be the number of pounds of nitrogen used in fertilizer1 and fertilizer2 respectively

We know that the objective is to maximize the profits of Bullco.

z = [(Selling price of fertilizer1) (Amount of silicon and nitrogen used to produce fertilizer1) + (Selling price of fertilizer2) (Amount of silicon and nitrogen used to produce fertilizer2) - (Cost of silicon) (Amount of silicon used to produce fertilizer I and 2) - (Cost of nitrogen) (Amount of nitrogen used to produce fertilizer I and 2)]

so

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )  

Now

Constraint 1;  At most, 100 lb of silicon can be purchased

Amount of silicon used to produce fertilizer 1 and 2 ≤ 100

Xs1 + Xs2 ≤ 100

Constraint 2; At most, 80 lb of nitrogen can be purchased

Amount of nitrogen used to produce fertilizer 1 and 2 ≤ 80

Xn1 + Xn2 ≤ 80

Constraint 3; Fertilizer 1 must be at least 40% of nitrogen

Amount of nitrogen used to produce fertilizer 1 ≥ 40% (fertilizer 1)

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Constraint 4; Fertilizer 2 must be at least 70% of silicon

Amount of silicon used to produce fertilizer 2  ≥ 70% (fertilizer 2)

Xs2 ≥ 0.7 ( Xs2 + Xn2 )  

so the formulization of the given linear program is,  

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )  

Subject to the constraints  

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

Answer:

A rocket ship is travelling at an average speed of 1.75 × 104 miles per hour. How many miles will the rocket ship travel in 1.2 × 102 hours?

1. Write the expression:       (1.75 × 104)(1.2 × 102)

2. Rearrange the expression:     (1.75 × 1.2)(104 × 102)

3. Multiply the coefficients:      (2.1)(104 × 102)

4. Apply the product of powers:    2.1 × 10y

The rocket ship will travel 2.1 × 10y miles. What is the value of y in the solution?

y =  

Step-by-step explanation:

6

Answer:

235

Step-by-step explanation:

11.75 x 20 = 235

Answer:

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

5x−4−3x=3x+18−3x

2x−4=18

Step 2: Add 4 to both sides.

2x−4+4=18+4

2x=22

Step 3: Divide both sides by 2

2x/2= 22/2

     x= 11

Answer:

2.05

Step-by-step explanation:

                                    2.05

       _____________|   |   |__________

ones                                |                       hundredths              

                                     tenths

Answer:

18684 I believe

Step-by-step explanation:

Answer:

2,600,038

Step-by-step explanation:

Answer:

14 degrees

Step-by-step explanation:

Complementary angles means they add up to 90 degrees.

If the smaller angle times 5 plus 6 equals the bigger angle, then:

14 x 5 = 70

70 + 6 = 76

76 + 14 = 90

The measurements of the angles are 76 degrees and 14 degrees because the sum of the two complementary angles is up to 90 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

Let x and y be the numbers:

From the definition of the complementary numbers:

x + y = 90  

x = 6 + 5y

The above represents two linear equations in two variables solved by the substitution method:

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

6 + 5y + y = 90

6y = 90 - 6

6y = 84

y = 84/6

y = 14 degrees

The measure of the other angle x = 90 - 14 = 76 degrees

Thus, the measure of the angles is 76 degrees and 14 degrees because the sum of the two complementary angles is up to 90 degrees.

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Answer:

2

Step-by-step explanation:

Answer:

Its 2....

Step-by-step explanation:

1 by itself equals 1...so adding them both makes their value bigger making the number 2.

Answer:

D

Step-by-step explanation

124 times 3 is 372

Answer:

10 tacos for 8.49 because 6 tacos for 5.40 it's almost a dollar for each.And the deal 10 tacos for 8.49 you pay more but it's better it's not a dollar for each it's like 84 cents for each

9514 1404 393

Answer:

  $600

Step-by-step explanation:

Put the give numbers into the interest formula and do the arithmetic.

  I = Prt . . . . . interest on principal P at rate r for time t

  I = $5000×0.03×4 = $600

You would earn $600 interest.

Answer:

The probability is [tex]P(k) = \frac{4}{25}[/tex]

Step-by-step explanation:

From the question we are told that

   The number of pens from the drawer is  n =  5

   The number of pens that doesn't work is  k =  2

The probability that a does not work is

             [tex]p = \frac{k}{n}[/tex]

=>          [tex]p = \frac{2}{5}[/tex]

The probability that a pen works is

           [tex]q = 1- p[/tex]

           [tex]q = 1- \frac{2}{5}[/tex]

    =>   [tex]q = \frac{3}{5}[/tex]

Generally the probability that ending up with a pen that doesn't work is mathematically represented as  

            [tex]P(k) = p^2[/tex]

=>         [tex]P(k) = [\frac{2}{5} ]^2[/tex]

=>        [tex]P(k) = \frac{4}{25}[/tex]

The probability that you randomly grab two pens from the drawer and don’t end up with a pen that works is [tex]\dfrac{4}{25}[/tex].

Given information:

The number of pens in the drawer is [tex]n=5[/tex].

The number of pens that doesn't work is [tex]a=2[/tex].

So, the number of pens which works will be, [tex]b=5-2=3[/tex].

The probability of grabbing a pen that doesn't work will be,

[tex]P_a=\dfrac{2}{5}[/tex]

Now, two pens are grabbed randomly from the drawer. So, the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works will be calculated as,

[tex]P=(P_a)^2\\P=\dfrac{2}{5}\times \dfrac{2}{5}\\P=\dfrac{4}{5}[/tex]

Therefore, the value of the required probability will be [tex]\dfrac{4}{5}[/tex].

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The answer you are looking for is C

Answer:

X=Y P(x)-Y=x

(C,0)×X=X

(C,0)=X

Answer:

A

Step-by-step explanation:

because I'm a smart motherf##

Answer:

x = 55°

Step-by-step explanation:

I hope this helps!

Answer:

The answer would actully would be 4,500 Aka A!

Step-by-step explanation:   BTW: I did do this test :)  

[tex] \frac{4}{9} [/tex]

The required solution for all the blanks is: 1/3,3/4,4/3 and 4/9 as defined by "Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division."

A branch of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations like addition, subtraction, multiplication, and division are included. The arithmetic operator is used to carry out mathematical operations on the given operands, including addition, subtraction, multiplication, division, and modulus. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc. These operators are + for addition, - for subtraction, * for multiplication, / for division, and % for percentage (modulo).

Here,

For first blank=1/3

second blank=3/4

third blank=4/3

fourth blank=4/9

The required solution to the blanks are: 1/3,3/4,4/3 and 4/9 as defined by "Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.".

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The point represent is F.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically. As we move towards the right side of a horizontal number line, the numbers increase; as we move towards the left, the numbers decrease.

Given:

point on the number line represents 7 less than 4

=4-7

=-3

So, the point that represent -3 is F

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Answer:

$2.69

Step-by-step explanation:

We can divide the cost in dollars to the gallons of gasoline to find the rate of change.

16.14 / 6 = $2.69

21.52 / 8 = $2.69

24.21 / 9 = $2.69

32.28 / 12 = $2.69

53.80 / 20 = $2.69

This means that each gallon costs $2.69, in other words this is the rate o change.

Best of Luck!

Answer:

6.569

Step-by-step explanation:

get a calculator but hears the answer

Answer:

Hi there

Your answer is

x is equal to 5

Step-by-step explanation:

L=3x+5

W=2x

P=60

Perimeter formula

W+W+L+L=P

Plug in values

2x+2x+(3x+5)+(3x+5)=60

10x+10=60

-10

10x=50

/10

x=5

Answer:

3

Step-by-step explanation:

3 x 7 = 21

3 x 8 = 24

3 x 9 = 27

Hope this helps :)

Answer:

P

Step-by-step explanation:

divide y by x:

Column A: 1/4

Column B: 3/12

Column C: 4/16

Column D: 6/24

In all cases, these fractions can be simplified to 1/4. Therefore, there is proportionality.

Answer:

A=  4/1  = 4

B= 12/3 = 4

C= 16/4  = 4

D= 24/6 = 4

hope this helps

Answer: 42.6668mm and 42.673mm

Step-by-step explanation:

The acceptable diameters for the golf balls are 42.675 mm, 42.673 mm.

A diameter is the chord of a circular object, a circle or a sphere which is the distance between two points on the circumference of the object, the distance is calculated by drawing a line passing through the center of the object.

The golf ball is in the shape of a sphere

The internationally accepted diameter for a golf ball is 1.68 inches

which is approximately equal to 42.67 mm

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