Find the maximum value of
P = 4x + 5y
subject to the following constraints:
x + 3y = 13
3x + 2y < 25
X>0
y>0
P = [?]

Find The Maximum Value OfP = 4x + 5ysubject To The Following Constraints:x + 3y = 133x + 2y &lt; 25X&gt;0y&gt;0P

Answers

Answer 1

Answer:

38 is the maximum value

Step-by-step explanation:

First we should graph each inequality. Then we can find the points on the intersecting region and take those points and plug them into the equation P = 4x + 5y. Then we can find the maximum value from there. The maximum value is tied to the point (7, 2), with P = 38. :)


Related Questions

how long is the stage

Answers

c. 10m


l=a/w = 50/5= 10m
The correct answer is c

Last weekend, Abigail collected 7 times as many trading cards as Trey. Together, they collected 40 trading cards. How many trading cards did Abigail collect?

Answers

Answer: 35 trading cards

Step-by-step explanation:

Assume the trading cards collected by Trey is x.

That means that the number of trading cards collected by Abigail is 7x.

Relevant expression is:

7x + x = 40

8x = 40

x = 40/8

x = 5 trading cards

This means that Trey collected 5 trading cards

Abigail collected 7 times that figure so Abigail collected:

= 7 * 5

= 35 trading cards

Which of the following sets of numbers could not represent the three sides of a right
triangle?
{20, 48,52}
{40, 75, 85}
{14, 47,50}
{13, 84, 85}

Answers

Answer:

{14, 47, 50}

Step-by-step explanation:

The three sides of a right triangle must satisfy

a² + b² = c², known as the Pythagorean Theorem. So let's put the pairs into the theorem.

20, 48, 52

a² + b² = c²

20² + 48² = 52²

400 + 2304 = 2704

2704 = 2704

20, 48, and 52 represent the three sides of a right triangle.

40, 75, 85

a² + b² = c²

40² + 75² = 85²

1600 + 5625 = 7225

7225 = 7225

40, 75, and 85 represent the three sides of a right triangle.

14, 47, 50

a² + b² = c²

14² + 47² = 50²

196 + 2209 = 2500

2405 ≠ 2500

14, 47, and 50 do NOT represent the three sides of a right triangle.

13, 84, 85

a² + b² = c²

13² + 84² = 85²

169 + 7056 = 7225

7225 = 7225

13, 84, and 85 represent the sides of a right triangle.

14, 47, and 50 do NOT represent the three sides of a right triangle, therefore making it your answer.

Rewrite 3* = 243 as a logarithmic equation.

Answers

Answer:

log₃(243) = x

Step-by-step explanation:

3^x = 243

Rule: a^x = b -> logₐ(b) = x

log₃(243) = x

Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/ ( pages 2,3,4 only )

Answers

Answer:

2. more baking powder b/c 7/8 > 1/4

3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24

4. Question: Who helps for more time at the fair and who helps for more time?

Josh helps for less time than Sarai, as 3/8 < 8/12

Step-by-step explanation:

hope this helps

how do u do 7 over 4 = 35 over m in solving proportions? plz helppppppppppp

Answers

Answer:

7/4 = 35/20

Step-by-step explanation:

35 = 7 x 5 ; 20 = 4 x 5

first part of my assignment check my other for the two other questions that go with

Answers

Answer:

Step-by-step explanation:

Remark

I hope you don't mind if I laughed a little at the graph. The y intercept of the line is at 10 dollars, but the rental car has not moved an inch. I guess they're charging you to look at your driver's license. It's late, and maybe I am a little giddy.

Begin by using a ruler (or some other straight edge) to join all the dots.

a) I'll spend a little time here. It is very important that you know how to read a chart and this question is your first step. The question is how many dollars does it take to go 40 miles? There is a system. Start with the 40 miles on the horizontal axis (x axis if you know that that is).

Use a ruler to go straight up until you hit the line.

When you hit the line, mark the place.Now move straight across until you hit the y axis where you find out the money.You should get 30 dollars.

b) This question is a guess.

You can find the 70 dollars easily enough. Go straight up again until you hit the line. Mark the point on the line.Go straight across again.Not so easy. It isn't marked. You have to make a guess. My guess is 45. What do you think?

c) This question is the exact reverse of the other two.

This time you start with the amount of moneySo you start at 60 dollars and go straight across until you hit the line.Mark the point.Now take your ruler and go straight down. You should hit 100 miles.

Pls help with trig ✋

Answers

Step-by-step explanation:

From Pythagorean theorem

x^2 = (10)^2 - (8)^2 = 36 or x =6

sin theta = opp/hyp = 6/10 = 3/5

cos theta = adj/hyp = 8/10 = 4/5

tan theta = opp/adj = 6/8 = 3/4

cot theta = 1/tan theta = 4/3

sec theta = 1/cos theta = 5/4

csc theta = 1/sin theta = 5/3

PLS HELP FOR BRAINLIEST!

Find the measure of

Answers

Answer: 22.5

Step-by-step explain:

225/10=22.5

Does the following relation represent a function?



{ (4, 1), (8, 2), (12, 1), (3, 16) }

Answers

Answer:

No it does not

Answer:

It does not represent a function

Step-by-step explanation:

The values of x and y don't vary.

What is the approximate area of a semicircle with radius of 21 ft? Use 3.14

Answers

Answer:

692 ft^2

Step-by-step explanation:

Area of a circle = (pi)(radius)^2

Here,

Area of the circle = (3.14)(21 ft)^2 = 1385 ft^2

Area of half this circle = area of the semicircle = 1385 ft^2  /  2, or

Area of semicircle = 692 ft^2

Amy scheduled herself from 8am-1pm sunday through wednesday on wednesday she needed to release her intervals from 11am-1pm at the last minute she serviced all of the other time for which she posted what was her overall commitment adherence percentage?

Answers

Answer:

Commitment Adherence Percentage = 81.[tex]\overline{81}[/tex]%

Step-by-step explanation:

The time period Amy scheduled herself, t = 8 a.m. - 1 p.m. from Sunday through Wednesday

The period she released her interval = 11 a. m. - 1 p.m.

Commitment Adherence Percentage = Service Minutes/(Posted Minutes + Released Lockdown Minutes) × 100

Posted minutes = 5 hours/day × 60 minutes ×  4 days = 1200 minutes

Serviced minute = 5 hours/day × 60 minutes ×  3 days + 3 hours × 60 minutes/hour = 1,080 minutes

Released minutes = 2 hours × 60 minutes/hour = 120 minutes

Commitment Adherence Percentage = (1,080/(1,200 + 120)) × 100 = 81.[tex]\overline{81}[/tex]%

A paint can has a diameter of 17 centimeters and a height of 24 centimeters. What is the surface area of the can? 2.775 76 cm 2 o 1734 85 cm 2 O 1494 64 cm2 4.377 16 cm 2​

Answers

Answer:

1734.85

Step-by-step explanation:

Answer:

the correct answer is 1,734.85cm2

Step-by-step explanation:

i did the assignment and got it right

The variable g represents the number of guests, and the variable c represents the cost in dollars. If there are 10 guests, how much will Anne's retirement party cost? $

Answers

Answer:

Cost (10 guests ) = 50

Step-by-step explanation:

Given : Cost c = 10 + 4g (g refers to guests)

Equation : c = 10 + 4g

Putting no. of  guests 'g' = 10

c = 10 + 4 (10) = 10 + 40

c = 50

Please help me it is geometry, and I need to pass.

Answers

Answer:

38.16

Step-by-step explanation:

cosine = adjacent leg / hypotenuse

34 / x = cos 27

x = 34 / cos 27 deg

x ≈ 38.16

Answer:

we have

cos 27°=base/hypotenuse

cos27°=34/x

x=34/cos27°= 38.16is your answer

(PLEASE HELP) What is the area?

Answers

Answer:

The area is 2,000 cm2

Step-by-step explanation:

The answer is that because Area is when you multiply the length times the width ( l x w ). The length is 40 cm and the width is 50 cm and when you multiply them, you will get 2,000 cm2.

Hope that helps. If you get it wrong, please let me know so I could check my work. Thank you and have a great rest of your day :) !

ASAP

AND HOW DID YOU GET THE ANSWER

( WILL MARK BRIANIST)

Answers

Answer: 11/24

Convert 3/8 to 9/24

Convert 1/12 to 2/24

Add them together to get 11/24

If I did a poor job explaining I can help more in the comments.

Answer:

Hi, there the answer is 11/24

Step-by-step explanation:

9/24+2/24  

9+2/24

11/24

If you didn't understand here's something you can understand I felt like I didn't understand what I wrote on the top

Find the Least Common Multiple

[tex]\frac{3}{8} +\frac{1}{12}[/tex]

[tex]\frac{9}{24} +\frac{2}{24}[/tex]

[tex]\frac{9+2}{24}[/tex]

[tex]\frac{11}{24}[/tex]

Item 5
How many seconds are equal to 3 minutes?

Answers

Answer:

180 seconds in 3 minutes

Step-by-step explanation:

in 3 minutes there is 180 seconds

If the full problem adds up to 122 what is Y?

Answers

Answer: 12

Step-by-step explanation:

Answer:

35.8

Step-by-step explanation:

Triangle adds up to 360 degrees

5y+4y+3+y-1=360

10y+2=360

     -2   -2

10y=358

divided both sides by 1o

y=35.8

For a field trip. 26 students rode in cars
and the rest filled up 6 buses. How
many students were in each bus if no
more than 290 students went on the
trip? Write an inequality to find x, the
number of students on each bus.

Answers

Answer:

x+26=290

x=290-26

x=264

264÷6=44

What else do I do?

(btw I'm The one with the black and white pfp!

Answers

Answer:

if u don't want them to have your insta/snap, tell them that you don't like sharing them. I just wouldn't respond after that

If they are bothering you say "Thank you for being nice to me, I am going to say this in the most the nicest way possible, but you're kind of bothering me right now. If you keep messaging me/ bothering me I'm going to have to block you" or you could say "Please stop asking me for my insta/snap if you keep asking me I am going to have to block you. Thank you have a nice day :)"

you could say something like that

How to write one thousand, one hundred twenty-four and forty nine hundredths in expanded notation

Answers

Answer:

1,124.49

Step-by-step explanation:

Answer:

1000 + 100 + 20 + 4 + 0.4 + 0.09

Step-by-step explanation:

Shin used a doubling and halving strategy to solve 25 times 68. Fill in the blanks in the arrays and the equations to represent her work

Answers

Answer:

[tex]25 * 68 = 1700[/tex]

Step-by-step explanation:

Given

[tex]25 * 68[/tex]

Required

Fill the array using doubling and halving

Question is incomplete, as the array is not given.

However, the solution is as follows:

[tex]25 * 68[/tex]

Double 25 and half 68

[tex]25 * 68 = 50 * 34[/tex]

Double 50 and half 34

[tex]25 * 68 = 100 * 17[/tex]

The above is now easy to solve

[tex]25 * 68 = 1700[/tex]

What is 113.1 rounded to the nearest hundredth

Answers

113.10

That question is so trippy that I find it quite stup.id

I honestly am not sure if my answer is correct. But that’s the value I would put in.

PLS HELP!! The diagram shows triangle PQR.

Answers

Answer:

I cant figure it out, sorry :(

What is the equation in slope-intercept form of the line that crosses the x-axis at 21 and is perpendicular to the line represented by y = 7/2x-13

Answers

Given:

A line is perpendicular to the line [tex]y=\dfrac{7}{2}x-13[/tex].

The line passes through the x-axis at 21.

To find:

The equation of the line in slope intercept form.

Solution:

The slope intercept form of a line is:

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

Where, m is the slope and b is the y-intercept.

The given line is:

[tex]y=\dfrac{7}{2}x-13[/tex]

So, the slope of this line is [tex]\dfrac{7}{2}[/tex].

The product of slopes of two perpendicular lines is -1.

Let m be the slope of required line. Then the slope of the required line is:

[tex]m\times \dfrac{7}{2}=-1[/tex]

[tex]m=-\dfrac{2}{7}[/tex]

The line passes through the x-axis at 21. It means the line passes through the point (21,0). So, the equation of the line is:

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

[tex]y-0=-\dfrac{2}{7}(x-21)[/tex]

[tex]y=-\dfrac{2}{7}(x)-\dfrac{2}{7}(-21)[/tex]

[tex]y=-\dfrac{2}{7}x+6[/tex]

Therefore, the equation of the required line is [tex]y=-\dfrac{2}{7}x+6[/tex].

What is the measure of ZB?
A
34
B
[?] degrees
Enter

Answers

Answer:

Angle b=56

Step-by-step explanation:

180-34-90=56

Is the proportion of the female population age 60 or older in country A greater than the proportion of the female proportion age 6 or older in country B

Answers

Answer:

Proportion of female older Than 60 in country A is not more than the proportion of female older Than 60 in country B.

Step-by-step explanation:

From. The plot given :

We could approximate the proportion of females older than 60 as follows _

COUNTRY A :

60 - 69 = 0.105

70 - 79 = 0.065

80 - 89 = 0.038

90+ = 0.01

Total = About 0.218

COUNTRY B :

60 - 69 = 0.14

70 - 79 = 0.11

80 - 89 = 0.07

90+ = 0.02

Total = About 0.34

From the estimated proportion, the proportion of females on country B is more than the proportion in country A.

what is the length of the hypotenuse,c ? 3m 5m

Answers

Answer:

square root of 34

Step-by-step explanation:

ok so S is for Squared

Cs= As+Bs

5s+3s= Cs

25+9=34

Cs=34

C= square root of 34

to get C we need to square root Cs

square root of 34

so C is 5.83

Enter the value that belongs in the
green box.
48
y
X
42°
67
tan 48°

Answers

The value of x will be 60.33. Then the tan 48° will be 67 / 60.33.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right-angle triangle has angles of 48°, 42°, and 90°.

Then the value of x will be

tan 42° = x / 67

         x = 60.33

Then the tan 48° is given as

tan 48° = 67 / 60.33

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ1

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