A sketch artist sells on demand portraits and name doodles at the state fair. The artist has a personal maximum of 40 creations per day. With his current paper supply the artist is equipped to create up to 30 portraits and up to 20 name doodles. If the artists profit is $10 on each portrait and $20 on each name doodle, how many of each item should he aim to sell to maximize his profit?

Answers

Answer 1

Answer:

profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600

Step-by-step explanation:

we have to maximize the following equation:

$10P + $20D

where:

P = number of portraits

D = number of doodles

the constraints are:

P + D ≤ 40

P ≤ 30

D ≤ 20

we do not need to use solver or any other type of linear programming tool to solve this, since profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600


Related Questions

What is the slope of the line through (-1, 4) and (1, -2)​

Answers

Answer:

Slope = -3

Step-by-step explanation:

The slope is the change in y over the change in x

The slope formula is m=y₂-y₁/x₂-x₁ (y over x)

So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)

So, you would get m=-2-4/1-(-1)

Simplify (first subtract the top, then subtract the bottom)

This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)

-6/2 would get you to -3

-3 is the answer

The correct answer is A

An elephant drinks 49 gallons of water per day. A rhinoceros drinks 21 gallons of water per day. What is the total amount of water the animals will drink in 8 days?

Answers

Given:

An elephant drinks 49 gallons of water per day.

A rhinoceros drinks 21 gallons of water per day.

To find:

The total amount of water the animals will drink in 8 days.

Solution:

In each day,

Elephant drinks = 49 gallons

Rhinoceros drinks = 21 gallons

Total amount of water they will drink each day is

[tex]49+21=70[/tex]

They will drink 70 gallons in each days.

So, total amount of water the animals will drink in 8 days is

[tex]8\times 70=560[/tex]

Therefore, they will drink 560 gallons of water in 8 days.

Find the slope between these two points:



(4,2) and (10,5)

Answers

Answer:

Slope is 1/2

Step-by-step explanation:

Slope Formula = m = y2 - y1/x2 - x1

Point = (4,2) and (10,5)

m = y2 - y1/x2 - x1

m = 5 - 2/10 - 4

m = 3/6

m = 1/2

Lee drew five rectangles as shown on this coordinate grid

Answers

Given:

Lee drew five rectangles as shown on this coordinate grid .

To find:

The correct statement.

Solution:

From the given diagram, it is clear that,

Dimensions of rectangle x are 6 by 3 units.

Dimensions of rectangle A are 7 by 3 units.

Dimensions of rectangle B are 6 by 3 units.

Dimensions of rectangle C are 3 by 6 units.

Dimensions of rectangle D are 6 by 4 units.

Dimensions of rectangle x and B are same and clearly it can be translation or rotation about the origin.

Dimensions of rectangle x and C are same but only rotation is not sufficient to get rectangle C from rectangle x.

Dimension of rectangle x, A and D are different, so they are not congruent and we cannot get rectangle A and D by rotation, reflection and translation.

Therefore, the correct option is B.

find the exponential function that satisfies the given conditions:
-initial value: 56
-decreasing at a rate of 0.42% per week

Multiple choice: possible answers ⬇️​

Answers

Answer:

d

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Hope this helps! Consider brainiest!

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I PUT 100 POINTS

Answers

Answer:
4/5
Explanation:
The slope of a line is defined by change in y/change in x. Notice that when the line’s x value changes from -2 to 3, it’s y value changes from 0 to 4. Therefore, the slope is 4/5

What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base diameter of 14cm? Round to the nearest tenths place

Answers

Answer:

=1232cm^3

Step-by-step explanation:

Volume of a cylinder=πr^2h

Where r=radius=diameter/2=14/2=7 cm

h=height=8 cm given

π=22/7

Volume of cylinder=πr^2h

=22/7x7x7x8=154x8=1232cm^3

Answer:

1231.5

Step-by-step explanation: the other answer is wrong this is right

Jason is buying burgers and fries for his family. Each burger costs $6 and each order of fries costs $4. He has a total of $36 to spend.
**a. Write an equation that represents this situation using x to represent the number of burgers purchased and y to represent the number of fries purchased.

** b. If Jason bought 2 burgers, how many fries did he purchase in order to spend all of his money?

Answers

Answer:

a) $6x+$4y=36

b) 6 fries

Step-by-step explanation:

b)$6(2)=12

36-12=24

24/4=6 fries

BRAINLIEST IF CORRECT!
Which of the following statements contain a variable? Check all that apply.

A. The highest temperature over three days.
B. How much the car weighs.
C. The length of the track.
D. Five feet tall.

Answers

Answer:

D.

Step-by-step explanation:

What is the value of C49 ?


36


126


6561


3024

Answers

Is there like a chart because I cans understand it it must have a chart or something missing

Using the concept of combination, the value of the expression 9C4 is 126

Recall the combination formula :

[tex]nCr = \frac{n!} {(n-r)!r!} [/tex]

[tex]9C4 = \frac{9!} {(9-4)!4!} [/tex]

[tex]9C4 = \frac{9 \times 8 \times 7 \times 6} {4 \times 3 \times 2 \times 1} [/tex]

[tex]9C4 = \frac{3024} {24} = 126 [/tex]

Therefore, the value of the expression 9C4 is 126.

Learn more : https://brainly.com/question/18405415

Find the composite function (please help) :)

Answers

Hi there!

[tex]\large\boxed{g(f(x)) = 108x^{2} - 156x + 46}[/tex]

f(x) = 6x - 4

g(x) = 3x² - 2x - 10

To find (g(f(x)), substitute in the equation of f(x) as 'x' in g(x):

g(f(x)) = 3(6x - 4)² - 2(6x - 4) - 10

Simplify:

= 3(36x² - 48x + 16) - 2(6x - 4) - 10

= 108x² - 144x + 48 - 12x + 8 - 10

= 108x² - 156x + 46

Is the unit rate of change for the linear function shown in the table?​

Answers

The answer to the question is B

Find the slope of the line that passes through the points (1,3) and (5,5).

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

y²-y¹/x²-x¹

=5-3/5-1

=2/4

=1/2

Step-by-step explanation:

The best way to solve these is by making them into a equation, rise over run, or y over x.

[tex] \frac{3}{1} - \frac{5}{5} [/tex]

You will get the same answer nomatter which order these are values are in. Now, solve for this equation.

[tex] \frac{ - 2}{ - 4} [/tex]

Now this is negative and kind of messy, although, we can turn both values into positive values without the answer changing, just be careful on other problems with this technique as it doesn't always work.

[tex] \frac{2}{4} [/tex]

Now we can simplify again.

[tex]\frac{1}{2}[/tex]

The slope is 1/2!

Find the slope of the line that passes through (7,10) and (2,2)​

Answers

Answer:

3/2

Step-by-step explanation:

A line goes through the points (1, -2) and (3, 6). Write an equation of the line in slope intercept form.

Answers

Answer:

y=4x-6

Step-by-step explanation:

trust me.

The flower shop recieved a shipment of 342 pink roses and 330 red roses. The shop owner uses 8 roses to make one arrangement. How many arrangements how many arrangements can the shop owner make if he uses all the roses

Answers

Answer:

84 arrangements

Step-by-step explanation:

First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.

342 + 330 = 672 total roses

Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.

672 / 8 = 84 arrangements

PLSSS DUE IN 8 MINS.

Answers

Answer:

1, 148, 149.

your welcome

Answer:

E,B,F≥150

Step-by-step explanation:

150≥150

152≥150

151≥150

Solve the equation |2x + 1| = 2(x + 1). Are there any extraneous solutions?

Answers

Answer:

[tex]x=-\frac{3}{4}[/tex]

Step-by-step explanation:

Alondra Escobedo
Arithmetic on Polynomial Expressions
Nov 17,5:32:52 PM
Watch help video
?
If C =- 8 and D = – p2 + 8r+ 7, find an expression that equals 2C + 2D in
standard form.
Answer:
Submit Answer

Answers

Answer:

Is this from delta math lol

Step-by-step explanation:

2c+2d

2(-8)+2(-p2=8r+7)

Now try

I hope this helps

im sorry if it doesn't

please answer eeeeeeeeeeeeeeeeeeeva

Answers

Answer:

35 students

Step-by-step explanation:

Find 25% of 500:

[tex]\frac{25}{100}[/tex] × [tex]\frac{500}{1} = \frac{12500}{100}[/tex]  [tex]\frac{12500}{100} = \frac{125}{1} = 125[/tex]  

Find 18% of 500:

[tex]\frac{18}{100}[/tex] × [tex]\frac{500}{1} = \frac{9000}{100}[/tex]  [tex]\frac{9000}{100} = \frac{90}{1} = 90[/tex]  

Find the difference:

125 - 90 = 35

So, 35 more students prefer video games to bike riding.

I hope this helps!

MULTIPLE CHOICE:
A Rhombus is labeled ABCD, which line segment could be a diagonal:
a) AB
b) BC
c) AC
d) CD

Answers

ingles C would be diagonal so your best answer be D hope this helped !!!!!!

Which equation best represents the relationship between x and y in the graph? please guys I need help.

Answers

Answer:

its a or y = -3/4x -3

Step-by-step explanation:

slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. the line intercepts at the y at point -3 so the y-intercept is -3 the slope is -3/4 and you just plug them into the slope intercept form

PART 1 Please help me 10 points i just joined today ;)

PART 2 is on other question

Answers

Answer:

B=30,000

Y=The Plane's altitude

M= -2,000

X= Minutes

Equation: y=-2,000x+30,000

Slope= ?

Y-intercept= the point where you start at

what is the altitude after 10 minutes?=10,000

How Long does it take to get to 0 altitudes?=15 (Minutes)

Step-by-step explanation:

What are the choices for slope

x + y = -2

transformed into y form

Answers

Answer:

y = - 2 - x

Step-by-step explanation:

Since x + y = - 2, In the other side, it would be...

y = - 2 - x

Hope this helps :)

Please mark me as Brainliest!! I gave you the right answer.

Kevin hopes to earn a college basketball scholarship.To improve his shooting skills Kevin shoots 50 baskets./day.If Kevin shoots 50 baskets every day for 60 days how many shots would Kevin take

Answers

In sixty days, assuming that Kevin shoots exactly fifty baskets everyday, he'd have shot 3,000 baskets. (multiply 60 x 50 = 3,000)

Hope this helps: If it did, please mark brainliest, give a thanks, and rate it five stars! [I'm two brainliests away from moving up!] Have an amazing rest of your day and stay safe! Let me know if you need anymore help! xx

HELP PLS!!! find x and y please show steps

Answers

Answer:

           x = 7 ,   y = 7√2

Step-by-step explanation:

The sum of measures of angles in triangle is 180°

so:

180° - 90° - 45° = 45°

two angles angles of the same measure, that means: x = 7

so:

      [tex]7^2+7^2=y^2\\\\y^2=7^2\cdot2\\\\y=\sqrt{7^2\cdot2}\\\\\bold{y=7\sqrt2}[/tex]

GIVING BRAINLIEST!
Please answer the following essay question:

One recipe uses 1 3/4 cups of milk. Another recipe uses 1 1/2 cups of milk. You have 3 cups of milk at home. Do you have enough milk to make both recipes? Explain.

Answer in paragraph form using complete sentences and include any calculations, graphs, and labeled diagrams as appropriate.

Answers

Answer:

No, 3 1/4 is more

Step-by-step explanation:

1 3/4 added by 1 1/2 equals 3.25

Think of it as quarters.

you have $1 and 75 cents and in the other one you have $1 and 50 cents

together you would have $3 and 25 cents.

Okay now the paragraph form...

You would not have enough milk because three and one-fourth (cups of milk) is more than three (cups of milk). I found my answer by adding one and three-fourths by one and a half. You would have to go buy one-fourth of milk if you wanted to create both recipes.

<3 Enjoy,

    Dea

You have 22 books in your library. Eight are romance novels, 4 are murder mysteries and the rest are science fiction. Only 15 books will fit on a book shelf. How many ways can you arrange the books?​

Answers

Answer:

The books can be arranged in 170,544 ways

Step-by-step explanation:

This is a combination question since we are arranging

We simply want to find the number of ways to select 15 books out of 22 for arrangement

Mathematically, that will be;

22 C 15 = 22!/(22-15)!15! = 170,544 ways

How to evaluate each expression given the variable replacements

Answers

Answer:

Step-by-step explanation:

I need the expressions, please.

Simplify: -2 (8 - 6s + 11t - 3u)

Answers

Answer:

Step-by-step explanation:

-16 + 12s - 22t + 6u

The answer is 12s - 22t + 6u -16
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