Kennedy is working two summer jobs, making $11 per hour babysitting and making $8 per hour clearing tables. In a given week, she can work at most 17 total hours and must earn no less than $160. If x represents the number of hours babysitting and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Kennedy Is Working Two Summer Jobs, Making $11 Per Hour Babysitting And Making $8 Per Hour Clearing Tables.

Answers

Answer 1
_
| x+y(less than or equal to)17
| 11x+8y(greater than or equal to)160
~

Answer 2

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 .

What is linear programing problem?

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

What is inequalities?

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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Kennedy Is Working Two Summer Jobs, Making $11 Per Hour Babysitting And Making $8 Per Hour Clearing Tables.

Related Questions

The perimeter of a square is 52 cm.
Calculate the area of the square.

Answers

The answer: A=169cm²

Answer:

52/4 = 13

13 X 13 = 169 cm squared

Choose all the equations that have m =5 as the solution

A. m - 1 = 4

B. m + 4 = 20

C. m - 3 = 8

D. 22 + m = 25

E. 12 = m + 7​

Answers

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:

Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?

Answers

Answer:

1.17 x 10^2

Step-by-step explanation:

Im pretty sure its right

I NEED HELP!! But it's not an emergency. 50 Points!!

Answers

Answer:

D. x = 7 and m∠LMN = 120°

Step-by-step explanation:

Since MO bisect angle LMN, the angles formed are congruent:

∠LMO≅∠NMO

Substitute values and solve for x:

13x - 31 = x + 5313x - x = 53 + 3112x = 84x = 7

Find the value of ∠LMN:

m∠LMN = 2*m∠LMOm∠LMN = 2(13*7 - 31) = 120°

Correct option is D

Here,

MO is bisect of the [tex]\angle{LMN}[/tex],

SO,

[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]

According to the question,

[tex]\bold{ 13x-31=x+53 }[/tex]

[tex]\bold{ 13x-x=53+31 }[/tex]

[tex]\bold{12x=84 }[/tex]

[tex]\bold{x=\dfrac{84}{12} }[/tex]

[tex]\bold{x=7 }[/tex]

Now we find the value of [tex]\angle{LMN }[/tex]

so,

[tex]\angle{LMO}=2×\angle{NMO }[/tex]

[tex]\bold{ 2×(13×7-37) }[/tex]

[tex]\bold{2×(91-31) }[/tex]

[tex]\bold{2×60 }[/tex]

[tex]\bold{120° }[/tex]

Please quickly answers thus

Answers

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

8) What is the common ratio for this sequence?
12, 30, 75, 187.5
OA) 18
OB) 5
OC) 0.4
OD) 2.5

Answers

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.

What is a sequence?

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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Please solve the question below 2.0

Answers

Answer:

The answer is B

Step-by-step explanation:

Just look at the picture

A baseball team is having an opening night ticket sale and all tickets are 25% off.
What is the discounted amount if the original ticket price is $85?

Answers

Answer:

9

Step-by-step explanation:

i took the test

If x=-3 what does 6+5x

Answers

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.



Shhdhskwoqoqpqpqlqlqlqlalalsmmsmsmznzhxhfhrsq

Answers

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

Change 41 out of 50 to a percentage.​

Answers

Step-by-step explanation:

50x=41*100

50x=4100

x=4100/50

x=82%

PLS HELP Write an equation for an ellipse centered at the origin which has foci at (0,-+15) and a vertices at (0,-+25)

Answers

Answer:

c

Step-by-step explanation:


Can anyone solve this?

Answers

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°

Lol I need help agin

Answers

Step-by-step explanation:

7

b²=√218²-13²

=218-169

=49

=√49

=7

what is the cos 30°? ​

Answers

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

is 3 square root / 2

HELP ME ANSWER THIS ONE QUESTION ASAP, PLEASE IM BEGGING YOUU

Answers

Answer:

16.25

Step-by-step explanation:

What's common between the values 13 and 6.5? Well, 13 divided by 2 is 6.5. To find the other side you simply divide 5 by 2... 2.5. Then multiply 6.5 by 2.5 to get your final answer of 16.25.

Mark has less than 20.00 to spend on the cost of dinner

Answers

What is the exact question tho

a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom ​

Answers

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].

What is area?

" 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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This function can be used to determine the number of bacteria in a culture h hours after the culture was started.
f(x) = - 10(3)^h
Which statement best describes the meaning of the equation f(2) = 90 ?

Answers

Answer:

The statement means that after 2 hours, there are 90 bacteria in the culture.

Step-by-step explanation:

The number of bacteria after x hours is given by the function states in the exercise. We have that f(x) will be the number of bacteria after x hours.

Which statement best describes the meaning of the equation f(2) = 90 ?

The statement means that after 2 hours, there are 90 bacteria in the culture.

Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.

Answers

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:

01b3bed22d9bb79e5ed9ba#screenldx=3
2. Mario invested $500 dollars at 4% interest,
compounded bi-monthly. How much will Mario have in
his account 25 years from now?

Answers

Answer:

125

Step-by-step explanation:

500 divided by 4 = 125

can I pls have brainlest

N > 0 in number line

Answers

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.

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.

what is pi? I need help with this lol, first to answer gets brainliest

Answers

Answer:

What is pi?

The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.

Being an irrational number, π cannot be expressed as a common fraction, although fractions such as 22/7 are commonly used to approximate it. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern. Its decimal (or other base) digits appear to be randomly distributed, and are conjectured to satisfy a specific kind of statistical randomness.

Kara earns 12 cent for each paper she delivers. If she delivers papers to 42 customers each day, how much does she earn in 1 week ?

Answers

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.

A. Convert to the indicated unit of measure

1. 708 mm = ______m

2. 15.6 km = ______ dam

3. 108 cc = ______mL

4. 8 tbsp = ______ mL

5. 16.5 L = _____ gal

6. 3,569 sec = _____days

7. 4 score = ______ mo.

8. 299 K = _______0C

9. 2000F = ______0C

10. 10,866 mg = ______kg

ASAP :)

Answers

9514 1404 393

Answer:

0.708 m1560 dam108 mL118.3 mL (rounded)4.36 gal (rounded)0.04131 days (rounded)960 mo25.85 °C93 1/3 °C0.010866 kg

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

△ KLM ∼ △ KCB . What is the value of x?

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

Since the two triangles are similar, write the following proportion:

[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]

Cross-multiply and solve:

[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].

I need the answer ASAP

Answers

Answer: Its a rational number

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

It’s the one you picked.

Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2

Answers

Answer:

the answer is b i hope it helps

Sadie goes for an afternoon walk. The graph shows her distance from home over time

Answers

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.

What is 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.

Learn more about the distance-time graph here;

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If a Canada goose completes a $2400$-mile migration in exactly $13$ days and $8$ hours, then what was her average speed for the whole trip in miles per hour?

Answers

Answer:

7.5 MPH

Step-by-step explanation:

total hours = 320

total distance = 2400

2400/320 = 7.5mph

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