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Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

Linear programing problem is" a system of process of finding maximum or minimum value of any variables".

Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .

According to the question,

Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.

maximum of z =11x+8y

x + y ≤ 17             →     (1)

11x +8y ≥ 160      →       (2)

Using graphical method, we can solve this Linear programing problem(LPP).

In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.

In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.

To find maximum value of z solve this equation

x + y =17            →(3)

11x +8y =160      →(4),

multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)

11x+8y=160

8x+8y=136                               [multiply by(-) on both sides]

we get x=3 substitute this 'x' value in equation (3)

3+y=17

y = 14.

The maximum z = 11x+8y

                         z = 11(3)+8(14)               [substitute (3,14)]

       maximum z =145.

Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

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Answer:

A and E

Step-by-step explanation:

Plug 5 in for m in every equation, and see if the math works.

A.

[tex]m-1=4\\5-1=4\\\\[/tex]

A - works

B.

[tex]m+4=20\\5+4=9[/tex]

B - does not work

C.

[tex]m-3=8\\5-3=2[/tex]

C - does not work

D.

[tex]22+m=25\\22+5=27[/tex]

D - does not work

E.

[tex]12=m+7\\12=5+7[/tex]

E - works

Answer:

A and E just to make it quick hope this helps

Step-by-step explanation:

Answer:

the answer is b i hope it helps

Step-by-step explanation:

7

b²=√218²-13²

=218-169

=49

=√49

=7

Answer:

1, 3, 9, 27

Step-by-step explanation:

Answer:

3*7

3*3*3

3^3

Step-by-step explanation:

.............

Answer:

9

Step-by-step explanation:

i took the test

Answer:

-9

Step-by-step explanation:

Plug in -3 for the x value to get 6 + 5 (-3).  Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.

Answer: Its a rational number

Step-by-step explanation: All repeating decimals are rational :)

Answer:

B is the correct answer

Step-by-step explanation:

there y intercept are the same which is 4

The graph of x=2(y-4) has greater slope than the graph of x=5(y-4), the correct option is B.

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The equation of the line is

x=2(y-4)

x=5(y-4)

y =  (1/2)x +4  

y = (1/5)x +4

The slope is (1/2) and (1/5),

(1/2) > (1/5)

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12x42=504

504 cents earned every day when 42 papers are delivered

For a week= 504x7

3528cents

Answer:

3,528 cents = 35 dollars and 28 cents

Step-by-step explanation:

She earns 12 cents for each paper delivered.

=> She earns: 12 x 42 = 504 cents a day

=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.

That is probably the answer you're expecting.

But you shouldn't.

One customer might need more than 1 paper a day, so there's no clear answer to your question.

The area is the volume divided by the height.

Area = 182 / 2.8

Area = 65 square meters

Area of the classroom floor is equals to [tex]65m^{2}[/tex].

" Area is defined as the total space occupied by any two dimensional object."

Formula used

Volume of a cuboid = Length × width × height

Area of a classroom floor = length × width

According to the question,

Given,

Height of a classroom = [tex]2.8m[/tex]

Volume of a classroom =[tex]182 m^{3}[/tex]

Substitute the value in the formula of volume we get,

182 = Length × width × 2.8

⇒Length × width = [tex]\frac{182}{2.8}[/tex]

⇒Length × width =[tex]65m^{2}[/tex]

Therefore,

Area of the classroom floor =[tex]65m^{2}[/tex]

Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].

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Answer:

[tex]y=\frac{1}{3}x-8[/tex]

Step-by-step explanation:

Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](6,-6)[/tex] and [tex](9,-5)[/tex] as given in the problem, we have slope of this line to be:

[tex]m=\frac{-5-(-6)}{9-6}=\frac{1}{3}[/tex].

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

[tex]-6=\frac{1}{3}(6)+b, \\ b=-8[/tex]

Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=\frac{1}{3}x-8$}[/tex].

Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)

Step-by-step explanation:

Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.

To solve this problem, we need to know about the distance-time graph.

Distance time graph shows that how the distance of the object changes with time.

Given information-

The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.

The table attached below shows the distance of Sadie in each 15 minutes.

The total distance covered by the Sadie is,

[tex]=2+2+4\\=8[/tex]

Thus the distance covered by the Sadie is 8 miles.

The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.

As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.

Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,

[tex]v=\dfrac{8}{1} \\v=8[/tex]

Thus the average speed of Sadie is 8 miles per hour.

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Answer:

i believe it's c. im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope

Step-by-step explanation:

Given

Perpendicular to [tex]y = 4x[/tex]

Required

Determine its equation

The general form of an equation is:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = 4[/tex]

Next, we calculate the slope of L.

Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

The equation of L in slope intercept form is: [tex]y = mx + c[/tex]

Substitute -1/4 for m

[tex]y = -\frac{1}{4}x + c[/tex]

In point slope form, we have:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute -1/4 for m

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]

Answer:

y-4=-1/4(x-1)

y=-1/4x+17/4

Step-by-step explanation:

Answer:

x = 35°

∠Q = 127°

∠R = 35°

 ∠P  = 18°

Step-by-step explanation:

x + 2x + 57 + x - 17 = 180  {Angle sum property of triangle}

x + 2x + x +57 -17 = 180            {Combine like terms}

         4x  + 40      = 180

                      4x  = 180 - 40

                      4x = 140

                         x = 140/4

                       x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°

Answer:

The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.

Please check the attached graph.

Step-by-step explanation:

Given the inequality expression

N > 0

It is clear that the value of N is greater than 0, it means the solution contains all the positive real numbers greater than zero.

In other words:

[tex]N>0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:N>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

The number line containing the solution N > 0 is shown and attached below.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 0 number.

Please check the attached graph.

Answer:

✓ What is pi?

Answer:

125

Step-by-step explanation:

500 divided by 4 = 125

can I pls have brainlest

9514 1404 393

Answer:

Step-by-step explanation:

The conversions between SI prefix values can be found in any table of those prefixes. Other conversions needed are ...

  1 tbsp = 14.7876478125 mL . . . . commonly rounded to 15 mL

  1 gal = 3.785411784 L

  1 day = 86,400 s

__

  F = 9/5C +32 . . . . . formulas for conversion between temperature scales

  K = C +273.15

_____

Applying the necessary conversions, we have ...

1. 708 mm = 0.708 m  . . .  1000 mm = 1 m

2. 15.6 km = 1560 dam  . . .  100 dam = 1 km

3. 108 cc = 108 mL  . . .  1 cc = 1 mL

4. 8 tbsp ≈ 118.3 mL  . . .  using the above conversion

5. 16.5 L ≈ 4.36 gal  . . .  using the above conversion

6. 3,569 s ≈ 0.04131 days  . . .  using the above conversion

7. 4 score = 960 mo  . . .  1 score = 240 months

8. 299 K = 25.85 °C

9. 200 °F = 93 1/3 °C

10. 10,866 mg = 0.010866 kg  . . .  1,000,000 mg = 1 kg

_____

Additional Comment

For conversions other than temperature, the conversion factor used is one that is equivalent to 1. That is, the numerator has the same value as the denominator—only the units are different. The conversion in general looks like ...

  [tex]nn\text{ units you have}\times\dfrac{A\text{ units you want}}{B\text{ units you have}}=\dfrac{nn\cdot A}{B}\text{ units you want}[/tex]

where the conversion factor is ...

  A units you want = B units you have

Step-by-step explanation:

50x=41*100

50x=4100

x=4100/50

x=82%

Answer:

52/4 = 13

13 X 13 = 169 cm squared

Answer:

C=14π

Step-by-step explanation:

C=2πr

14 is the diameter. radius is half of diameter. r=7

C=2π(7)

C=14π

temperature. ?????? don't understand

is 3 square root / 2

Answer:

No. It is an inverse variation.

Step-by-step explanation:

6= xy

Making y the subject of formula:

[tex]y = \frac{6}{x} [/tex]

For a direct variation, the equation would be in the form of y=kx, where k is a constant.

However, the equation above is in the form of [tex]y = \frac{k}{x} [/tex].

Thus, 6=xy does not show direct variation.

Answer:

c

Step-by-step explanation:

Answer:

$8515.13

Step-by-step explanation:

Given :

Interest rate, r =. 1.25% = 0.0125 compounded quarterly

Principal = 8000

Number of years, t = 5 years

Compound interest :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

n = 4 (quarterly)

A = 8000(1 + 0.0125/4)^4*5

A = 8000(1 + 0.003125)^20

A = 8000(1.003125)^20

A = 8000 * 1.0643907

A = 8515.1258

Final. Amount to. Be repaid = $8515.13

Step-by-step explanation:

it will 2.5 this is right answer option D

The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a sequence:

12, 30, 75, 187.5

The above sequence is a geometric sequence.

The common ratio can be calculated:

r = 30/12 = 75/30

r  = 2.5

Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

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