Find the minimum value of C=x+3y

Answers

Answer 1

Answer:

c

Step-by-step explanation:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5


Related Questions

plz work out how you got the answer Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. In how many days will she do both classes and go to the library? *

Answers

Answer:

36

Step-by-step explanation:

if im wrong im sorry u add all of them up

Point D is located on the segment CE. IF CD = 24 and DE = x and CE - 5x, what is the measure of segment CE?

Answers

Answer:

30

Step-by-step explanation:

If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE

Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;

[tex]24+x = 5x\\5x-x = 24\\4x = 24\\x = 24/4\\x = 6[/tex]

Since CE = 5x, CE = 5(6) = 30

The measure of segment CE is 30

Graph the solution of this inequality:
350 > 125 + 15.r

Answers

Unfortunatly brainly does not provide me with graphics support.

First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.

Here is the inequality:

[tex]

350 > 125 + 15r

[/tex]

If we subtract 125 and then divide by 15 on both sides we get:

[tex]

r > 15

[/tex]

This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:

[tex]r\in\{14,13,12,\dots,-\infty\}[/tex]

In interval notation that is:

[tex]r\in(-\infty,15)[/tex]

You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?

show work pls!

Answers

Step-by-step explanation:

If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .

La figura MNPQ es un rombo. Si 2θ – Φ =60°. Calcula el valor de “x”. Dime los fundamentos y principios que utilizas.

Answers

Answer:

x = 30°

Step-by-step explanation:

Donde 2θ - Φ = 60 °, tenemos;

∠QMN = ∠QPM

Ф + ∠P / 2 + (180 - θ) = 180 (Suma de ángulos en un triángulo ΔQLP)

Por lo tanto, Ф + ∠P / 2 - θ = 0

Por lo tanto, ∠P / 2 = θ - Ф, también

270 ° + θ + x + ∠P / 2 = 360 (Suma de ángulos en un NOLP cuadrilátero) da

270 ° + θ + x + θ - Ф = 270 ° + 2 · θ - Ф + x = 360

Como 2 · θ - Ф = 60 °, tenemos;

270 ° + 60 + x = 360

x = 360 - 270 - 60 = 30 °

What is (4h^2b)^2 written in its simplest form?

Answers

Answer:

16h⁴b²

Step-by-step explanation:

(4h²b)²= 4²(h²)²b²= 16h⁴b²

In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?​

Answers

Answer: 60 kids, 180 adults

Step-by-step explanation:

Let x be the number of children and y be the number of adults eating.

If they have 240 people eating then x+y=240.

If they have to fundraise 1200 then 2x+6y=1200.

Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.

Hope that helped,

-sirswagger21

Find the midpoint between the two points of the line in the image below.

Answers

Answer:

(-2,0.5)

Step-by-step explanation:

1st set of Point=(-5,-2)

2nd set  of Point=(1,3)

Midpoint=(X1+X2/2 , Y1+Y2/2)

=(-5+1/2 , -2+3/2)

=(-2,0.5)

what is the value of x in the equation 1/4x-1/8=7/8+1/2x?
A. x=-5
B. x=-4
C. x=4
D.x=5​

Answers

C is always the answer

Answer:

B) x = -4

Step-by-step explanation:

[tex]\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4[/tex]

What is the solution to x^2-6x+9?

Answers

Answer:(x-3)(x-3)

Step-by-step explanation:

(x-3)(x-3)=x^2-6x+9

Answer:

Step-by-step explanation:

Sean is drinking a slushy as fast as he can.
The amount of slushy left in the cup (in milliliters) as a function of time in seconds) is graphed.
How much slushy did sean drink every 5 seconds

Answers

Answer:

40 millimetres

Answer:

40

Step-by-step explanation:

100 points! Whoever can finish this is a god! you have a time limit. 10 min.

Answers

Question 5 Is answer D) 20
Question 8 is skewed left
Question 7 is C
Question 11 is C
Question 12 i’m pretty sure is Quartile *i haven’t done this in a while*
Question 4 is the first Histogram.

Answer:

See explanation

Step-by-step explanation:

Question 11:

The vertical axis goes from 1 to 2 to 4 to 8 to 16 without changing the difference between the blocks, which could be misleading. Therefore, the correct answer is that the vertical scale is not consistent.

Question 12:

Mean absolute deviation

Question 5:

36-16=20

Question 7:

Since the IQR is 6 and 1.5*6=9, both extremes are outliers.

Question 8:

Skewed left

Question 4:

First histogram

Hope this helps!

How much is $100 U.S. dollars in Indian rupees?

Answers

7,547.75 Indian Rupee

in a basket of fruits there are 9 bananas 7 mangoes 2 pineapples. What fraction of the fruits are pineapple?​

Answers

Answer:

1/9

Step-by-step explanation:

9 bananas 7 mangoes 2 pineapples.  = 18 pieces  of fruit

Fraction of fruit that is pineapple

pineapple / total

2/18

Simplifying

1/9

Answer:

1/9

Step-by-step explanation:

To start off, add all of the known fruit amounts in order to find the total amount of fruit.

9 bananas +7 mangoes + 2 pineapples

When you do this, you find that the total fruit is 18

In order to know probability, you must divide the desirable outcome by the total possible outcomes.

The desirable outcome is pineapple. There are 2 pineapples. The total possible outcomes are 18.

2/18

You can simplify this fraction so that it becomes 1/9 by dividing the numerator and the denominator by 2

Please give me Brainliest, I have not got it yet but I have been working for it as hard as I can.

R (x) = 3x + 17/ -6x^2 + 39x

Answers

Answer:

[tex]\frac{3x+17}{-3x(2x-13)}[/tex]

unless there is more to the question

Step-by-step explanation:

You can't do anything to the top so work with the bottom.

since both terms have an x and are divisible by 3 take out a GCF of -3x

The bottom should be: -3x(2x-13)

You can't simplify any further.

Determine the value of y.

A. 90

B. 60

C. 180

D. 45

(i need this rq)

Answers

Answer:

D. 45°

Step-by-step explanation:

Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°

the volume of a cylindrical container is 1500cm. if the base area of the container is 120cm. what is the height of the container​

Answers

Answer:

12.5 cm

Step-by-step explanation:

Find the height of a prism in the following way:

height = Volume divided by Area of cross section.

Substitute the values and so you have:

1500 divided by 120 = 12.5

Brainliest ? For which inequality is (0,0) a solution?

Answers

Answer:

C. y-5>3x-7

Step-by-step explanation:

If you multiply y and x to 0 you get -5 > -7

Answer:

C. y-5>3x-7

Step-by-step explanation:

The point (0, 0) would be a solution because the inequality is greater than or equal to. Since the 2 sides become equal, the inequality is true which means (0, 0) is a solution.

please mark me brainliest :)

Select the term that does not describe the triangle. Select all that apply.
A) acute
B) obtuse
C) scalene

Answers

The triangle is not obtuse. The triangle IS both acute and scalene.

Answer:

B) obutse

Step-by-step explanation

none of the angles are above 90 degrees so it cant be obtuse. All of the sides are unequal so it is scalene. Lastly, all of its angles are smaller than 90 degrees making it scalene and acute, not obtuse

Please help! Correct answer only!

In a raffle, one ticket will win a $900 prize, and the remaining tickets will win nothing. There are 500 in the raffle. If you have a ticket, what is the expected payoff?

Answers

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

please answer asap (don't need explanation)

Answers

Answer:

The slope is 60.

Points for the graph are: (0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)

Step-by-step explanation:

I don't know what the question is but I will tell you your graph is horribly wrong.

The points for the graph is:

(0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)

Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2

Answers

In this problem, we have a pair of like terms in our x terms.

3x and -2x are like terms because they are exactly alike except for the coefficients or the numbers in front of the variables.

______________________________

Hey!!

3x and -2x are the like terms.

Explanation:

To add and subtract the algebraic expression, there should be the like and unlike terms.Unlike terms are those which do not have the same base and like terms are those which have the same base.

Hope it helps

Good luck on your assignment

_____________________________

I will mark you brainliest!!! Identify the exponential function shown in the graph.

Answers

Answer:

Letter B.

Step-by-step explanation:

Look for where the line corsses the Y axis. that will tell you the most about this line and it corsses at 8 so that can be the only one correct.

it’s two multi choice questions please help

Answers

Answer:

see below

Step-by-step explanation:

a) They could be congruent because having the same angles doesn't necessarily mean that they are congruent.

b) These triangles are  congruent by ASA because using the sum of angles in a triangle they have the same angles and one congruent side.

Answer:

a) F

b) C

Step-by-step explanation:

Brainliest please?

For a) it only tells you all the angles, which makes them similar triangles, but none of the sides are given, so it cannot be determined whether they are congruent.

For b) it is not to scale and using a little subtraction, you can quickly use the fact that there are 180 degrees in a triangle, you can determine that the 2 triangles have the same angles, with the side with 9.2 cm between 58 and 68 degree vertices on both triangles, making the 2 triangles congruent by ASA.

QED

Which of the following best describes the graph shown below?

Answers

Answer:

B. This is a graph of a one to one function

Answer:B

Step-by-step explanation:


Write the polynomial which represents the perimeter of a triangle whose sides are represented
by 2x² + 3x, 5x²-1, and 3x² + 7x-1.

Answers

Answer:

The polynomial is 10x^2 + 10x -2

Step-by-step explanation:

To get the polynomial which represents the perimeter, what we need to do is to add up all

these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;

2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1

10x^2 + 3x -1 + 7x -1

10x^2 + 10x -2

How many cookies would you expect to be rejected in a sample of 10,000 cookies?

Answers

Answer: 456

Step-by-step explanation:

idk if this is right i dont have anouf to be 100% sure but thats about right sorry if its not, i would try and put more info in next time to get a closer answer

Answer: Depending on who is tasting them, and their love for cookies iam going for something along the lines of 4750

Find the mean of the following group of numbers: 1.2, 2.3, 0.8, 2.3, 1.0, 3.1,
4.2, 1.4, 2.1, 0.4, 1.3, 2.0, 1.8, 3.2*

Answers

Answer:

1.93

Step-by-step explanation:

1.To find the mean you need to add all the numbers

2. Next divide by how many numbers they are

Example:

1,2,3,4

1. Add the numbers together

(1+2+3+4=10)

2. Divide by how many numbers they are

(There are only 4 numbers)

So..... 10 ÷4 =2.5

So 2.5 is the mean

Justin Lowery is buying a condominium that sells for $ 120 comma 000. The bank is requiring a minimum down payment of 10​%. To obtain a​ 20-year mortgage at 8.5​% ​interest, Justin must pay 1 ​point(s) at the time of closing. What is the cost of the 1 ​point(s) on the​ mortgage?

Answers

Answer:

$10.25

Step-by-step explanation:

95/.1=9.5

9.5*9=85.5

85.5/8

=10.25

What is the slope of the line y = 3?

Answers

The answer is zero hope this helps
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