1.   Solve the following LPP using a Simplex method: Max Z = 10X1 + 20X2 + 14X3 Subject to 5X1 + 4X2 + 2X3 < 60 X2 < 5 X3 > 10 X1, X2, X3 > 0​

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{3x+2}{2} =13[/tex]

[tex]\frac{3x+2}{2}[/tex]× 2 [tex]= 13[/tex] × 2

[tex]3x+2 = 26[/tex]

     -2      -2

=

3x = 24

[tex]\frac{3x}{3} =\frac{24}{3} \\x = 8[/tex]

Answer:

It would be 7:50

Step-by-step explanation:

If she wakes up at 7:10 and it takes her 40 minutes, the end time would be 7:50

Answer:

Socratic app

Step-by-step explanation:

it will help you

Answer:

3.1

Step-by-step explanation:

2.7 - 2.9 + 3.1 - 3.3 + 3.5

2.7 -2.9 - 3.3 + 3. 1 + 3.5 =

-3.5 + 6.6 = 3.1

Answer:

C)   y = 5

Step-by-step explanation:

Equation of a line in slope-intercept form:  y = mx + b

(where m is the slope (gradient) and b is the y-intercept)

If the line is perpendicular to the y-axis, the line will be parallel to the x-axis (horiztonal) and so the slope is zero.

Therefore, y = (0)x + b

⇒ y = b

We are told that the line passes through point (-4, 5).  Therefore, the y-intercept is 5.

So the equation of the line is:  y = 5

Answer:

Your name is the answer to the riddle.

Answer:

3b^(4/5) * (5b + 3)

Step-by-step explanation:

Factor:

Take out the factor 3b^4/5

-Chetan K

The random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.

It should be noted that random numbers simply means the numbers that can be chosen from a pool of unlimited numbers.

In this case, the random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.

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Answer

Zara gets $5.50

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

20 miles = 1 gallon of gas

3 3/4 = 15/4

12/4 = 3 = 3 x 20 = 60 miles

3/4 of 20 = 15 miles

60 + 15 = 75 miles

Answer:

unknown number is [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

let x = unknown number

Therefore,  [tex]\frac{1}{3} x=\frac{1}{27}[/tex]

Multiply both sides by 27:  [tex]9x=1[/tex]

Divide both sides by 9:  [tex]x=\frac{1}{9}[/tex]

Answer:

80

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:

30 + 4x + 2 = 8 + 6x add like terms

32 + 4x = 8 + 6x move like terms to the same side of the equation:

32 - 8 = 6x - 4x

24 = 2x divide both sides by 2

12 = x now to find the angle replace x with 12

8 + 6*12 = 80

Answer:

3

Step-by-step explanation:

I think it's 3

but I don't know if it's correct I just think it's 3

Answer:

1 and a half cupcakes.

Step-by-step explanation:

6 divided by 4 is 1.5 or 1 1/2.

Answer:

1  1/2

Step-by-step explanation:

Since, the total number of cupcakes = 6

Hence, If there are 4 people,

And, all of them distribute the cupcake equally,

Then, the cupcake will each person get

= Total number of cupcake/Total number of people

= 6/4

= 1 1/2

[RevyBreeze]

Answer:

3) 162 ft²   ||  4) 38.25 mm²

Step-by-step explanation:

3)

area of triangle = 0.5 * base * height

                          = 0.5 * 27 *  12

                          = 162 ft²

4) area of triangle = 0.5 * base * height

                              = 0.5 * 8.5 * 9

                              =  38.25 mm²

Step-by-step explanation:

Area of triangle:

Area of triangle:

The sample data is the data extracted from the overall population

If you used the population z-score equation on sample data, then (c) the answer would not be standardized

To determine a result in a statistical data, the following must be done:

Anything different from the above would result in a mismatch, and the answer would be non-standardized

Hence, the true statement is (c) the answer would not be standardized

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Answer:

111°

Step-by-step explanation:

Using the exterior angle theorem (exterior angle = sum of two interior angles that ARE NOT adjacent to the exterior angle), we can determine that...

x=75+36

x=111

Step-by-step explanation:

Inequality to describe problem:

[tex] - 6 < x < 21[/tex]

x represents the unknown integer(s).

Integers are positive or negative numbers that don't have a fraction, or a decimal.

Positive integers that work in the inequality:

[tex] - 6 < 1< 21[/tex]

[tex] - 6 < 2 < 21[/tex]

[tex] - 6 < 3 < 21[/tex]

[tex] - 6 < 4 < 21[/tex]

[tex] - 6 < 5 < 21[/tex]

[tex] - 6 < 6 < 21[/tex]

[tex] - 6 < 7 < 21[/tex]

[tex] - 6 < 8 < 21[/tex]

[tex] - 6 < 9 < 21[/tex]

[tex] - 6 < 10< 21[/tex]

[tex] - 6 < 11 < 21[/tex]

[tex] - 6 < 12 < 21[/tex]

[tex] - 6 < 13 < 21[/tex]

[tex] - 6 < 14 < 21[/tex]

[tex] - 6 < 15 < 21[/tex]

[tex] - 6 < 16 < 21[/tex]

[tex] - 6 < 17 < 21[/tex]

[tex] - 6 < 18 < 21[/tex]

[tex] - 6 < 19 < 21[/tex]

[tex] - 6 < 20 < 21[/tex]

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.

Answer:

o 1)

[tex](x + 4)(3x + 2) \\ \\ (x)(3x) + (x)(2) + (4)(3x) + (4)(2) \\ \\ = 3 {x}^{2} + 2x + 12x + 8 \\ = 3 {x}^{2} + 14x + 8[/tex]

__o__o___

o 2)

[tex](3x - 1)(2x - 5) \\ \\ (3x)(2x) + (3x) ( - 5)+ ( - 1)(2x) + ( - 1)( - 5) \\ \\ = 6 {x}^{2} - 15x - 2x + 5 \\ \\ = 6 {x}^{2} - 17x + 5[/tex]

__o__o___

o 3)

[tex](5x + 2)(2x + 5) \\ \\ = (5x)(2x) + (5x)(5) + (2)(2x) + (2)(5) \\ \\ = 10 {x}^{2} + 25x + 4x + 10 \\ \\ = 10 {x}^{2} + 29x + 10[/tex]

__o__o__

o 4)

[tex](4x - 1)(2x + 7) \\ \\ = (4x)(2x) + (4x)(7) + ( - 1)(2x) + ( - 1)(7) \\ \\ = 8 {x}^{2} + 28x - 2x - 7 \\ \\ = 8 {x}^{2} + 26x - 7[/tex]

__o__o___

o 5)

[tex](2x + 6)(4x + 8) \\ \\ = (2x)(4x) + (2x)(8) + (6)(4x) + (6)(8) \\ \\ = 8 {x}^{2} + 16x + 24x + 48 \\ \\ = 8 {x}^{2} + 40x + 48[/tex]

Answer:

288

HOPE it helped

thankyou

Answer:

82.63 miles/min

Step-by-step explanation:

Unit rate in minutes per mile = 2727/ 33

Unit rate in minutes per mile = 82.63 min

=》 Peter runs 1 mile in about 82.63 minutes (approx - 83 minutes).

Hope it helps ⚜

Step-by-step explanation:

Let 1st side of triangle be x

so,

length of given side will be x, 2x, 6+x

we know that,

perimeter of triangle = 34

x+2x+(6+x)= 34

4x+6= 34

4x = 34-6

x= 28÷4

:x= 7

2x = 7*2= 14 ft

6+x = 6+7 = 13 ft

Answer:

kilograms

Step-by-step explanation:

theoretically, a bus cant be measured in grams, because its too light and unrealistic.

The school bus has a mass of about 8000 kilograms.

"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."

"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."

Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.

∴ The school bus has a mass of about 8000 kilograms.

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#SPJ2

Answer:

A = 120

B = 102

Step-by-step explanation:

Assume A had x runs

So B had [tex]x-18[/tex] runs {the total runs is 222}

A + B = 222

2x = 240

x = 120

B: x - 18 = 120 - 18 = 102

Answer:

[tex]\left[\begin{array}{ccc}-6&10\\10&-10\end{array}\right][/tex]

Step-by-step explanation:

[tex]-2A=-2*\left[\begin{array}{ccc}3&-5\\-5&5\end{array}\right]=\left[\begin{array}{ccc}-6&10\\10&-10\end{array}\right][/tex]

Answer:

32.5/13=time=2.5h

Time=distance /speed

Numbers can be represented using the place value system

The number 22 thousands, 22 hundreds, 222 tens represents 26420

The number is given as:

22 thousands, 22 hundreds, 222 tens

Rewrite the number as:

22 thousands + 22 hundreds + 222 tens

Express the place values as figures

22 * 1000 + 22 * 100 + 222 * 10

Evaluate the product

22000 + 2200 + 2220

Evaluate the sum

26420

Hence, 22 thousands, 22 hundreds, 222 tens represents 26420

Read more about the place value at:

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