Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.

She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:

Let x = lipsticks
Let y = eye shadows

Then $10x + $5y > $120
and x + y < 20.

The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.

Profit function:
P = $7x + $3y

How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.

B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.

C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.

D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.

Answers

Answer 1
I think that the answer is actually c

Related Questions

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].

Learn more about area here

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Suppose potato chips cost 22.5 cents per ounce. What would a bag of chips cost if it contained 12 oz? Round your answer to the nearest cent, if necessary

Answers

Answer:

the anser is 22.10

Step-by-step explanation:

you have to round to the nearest ten. here is a tip 4 or down round down 5 or up round up now you are good to go! and also to find me if you need help

Please help...........

Answers

Answer:

x = 59.4°

Step-by-step explanation:

Reference angle = x

Side opposite to x° = 22

Adjacent side = 13

To find x, apply trigonometric ratio formula. Thus:

[tex] tan(x) = \frac{22}{13} [/tex]

[tex] x = tan^{-1}(\frac{22}{13}) [/tex]

[tex] x = 59.4 [/tex] (nearest tenth of degree)

Lisa bought bottles of soda for $2.50 each and a large pizza for $17. The total cost was $27. How many bottles of soda did Lisa buy?

A.
4

B.
3

C.
10

D.
6

Answers

Answer:

a

Step-by-step explanation:

27-17= 10$ 2.5 goes into 10 4 times

Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3

Answers

Answer:

System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x+3<6  Equation/Question

Step 2

-3x+3<6  Simplify

-3x<3

Step 3

-3x<3  Divide

Answer

x>-1

Hope this helps

The function h(t)= -16t2+ 8t+ 4 models the height of a ball over time as it bounces off the edge of a table.

Answers

Answer:

try 1/4

Step-by-step explanation:

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12 13 , and the y-coordinate is negative.

Answers

This question is incomplete, the complete question is;

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.

Answer: P( x, y ) = ( -5/13, 12/13 )

Step-by-step explanation:

Given that;

p( x, y ) is on the unit circle,

Radius of the circle must be 1

so the equation x² + y² = r²

x = 12/13 and r = 1

(12/13)² + y² = 1²

y² = 1 - (12/13)²

y = √ [ 1 - (12/13)² ]

y =  ±5/13

since the y-coordinate is negative y = -5/13

Therefore, P( x, y ) = ( -5/13, 12/13 )

Julie's manager proposes a new pay rate. The manager says that Julie can make her original pay rate for the first
hours she works each day and that for any hours over the first 8 in each day she will be paid double ber bourly
rate. Explain how you would find her weekly earnings using this method

Answers

Step-by-step explanation:

Because he always do that non sense thing by this true method and always shout it when they will go from their house

*8th grade math*
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
please answer with work

Answers

Answer:

67

Step-by-step explanation:

                        __

Answer:   5.4945...

Step-by-step explanation:

1.6 (1 + 0.5n) − 3 , 2 = 1.1 (n − 6.8)

Rewrite the equation as 1.1 (n − 6.8) = 2.

1.1 (n − 6.8) = 2  

Divide each term by 1.1 and simplify.

  Divide each term in 1.1 (n − 6.8) = 2 by 1.1.

      1.1 (n − 6.8)/1.1  = 2/1.1

   Cancel the common factor of 1.1.

      n − 6.8 =  2/1.1

   Divide 2 by 1.1.                          

      n − 6.8 = 1.81...

Move all terms not containing n to the right side of the equation.

   Add 6.8 to both sides of the equation.                  

      n = 1.81... + 6.8            

   Add 1.81... and 6.8.

      n = 8.618...

Replace the variable n with 8.618... in the expression.

1.6 (1 + 0.5 (8.618...)) − 3  

Simplify each term.  

  Multiply 0.5 by 8.618...

      1.6 (1 + 4.309...) − 3

  Add 1 and 4.309...

      1.6 ⋅ 5.309... − 3

   Multiply 1.6 by 5.309...

      8.4945... − 3

  Subtract 3 from 8.4945...

      5.4945...

Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:  28.765957 km/hour

This value is approximate. Round it however you need to.

==============================================

Explanation:

Let's convert 75 minutes to hours.

75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr

So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is

speed = distance/time

speed = (130 km)/(1.25 hrs)

speed = (130/1.25) km per hour

speed = 104 km per hour

Let A = 104, so we can use it later.

------------------------------------

Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.

From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hours

Overall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.

Dani's train travels 312 km in 3.25 hours.

That train's speed is...

speed = distance/time

speed = (312 km)/(3.25 hours)

speed = (312/2.35) km per hour

speed = 132.765957 km per hour, approximately

Let B = 132.765957 so we can use it later.

------------------------------------

Lastly, we subtract the values of A and B to get the final answer

C = difference in train speeds.

C = B - A

C = 132.765957 - 104

C = 28.765957 km/hour

This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.

Please help thank you

Answers

Answer:

B

Step-by-step explanation:

Increasing trials promotes the chance of reaching theoretical.

You are creating a model of the Gareway arch. You decide to use a scale of 1/2 yd=1/4in. The Gateway Arch is 310 yards tall. How tall will your model need to be?

Answers

Answer:

77.5

Step-by-step explanation:

Graph

y + 4 = 2/5 (x − 3)

Answers

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

5(y+4) =2(x-3)

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

so if x +3y =1 how do i plug it in to -x +2y =4

-x +3y=1-x

3y/3=1-x/3

y=1/3 - x/3

y=-1/3x +1/3

Then I have to plug x into the y= the fractions confuse me

Answers

If x + 3y = 1, then x = 1 - 3y.

Then in the second equation, replace x with 1 - 3y :

-x + 2y = 4

- (1 - 3y) + 2y = 4

-1 + 3y + 2y = 4

-1 + 5y = 4

5y = 5

y = 1   →   x = -2

since x = 1 - 3•1 = 1 - 3 = -2.

Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get

x + 3y = 1

3y = 1 - x

y = (1 - x)/3

Then replace y in the second equation:

-x + 2y = 4

-x + 2 ((1 - x)/3) = 4

-x + 2/3 (1 - x) = 4

Multiply both sides by 3 to get rid of the fraction:

-3x + 2 (1 - x) = 12

-3x + 2 - 2x = 12

-5x + 2 = 12

-5x = 10

x = -2   →   y = 1

since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.

What is 3 1/4% of 500

Answers

Answer:

387500

Step-by-step explanation:

31/4/100×500

3100/4×500

387500

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no

Answers

Answer:the answer is D Any amount of time over an hour and a half would cost $10

Step-by-step explanation:

Help me find answer to this

Answers

Answer:

[tex]\angle B=41.81^\circ[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]

Calculating the inverse sine function:

[tex]\angle B=\arcsin (0.667)[/tex]

[tex]\boxed{\angle B=41.81^\circ}[/tex]

Madison is making a cleaning solution by mixing a multi-surface cleaner with water in the
ratio of 2 to 11. How many pints of the
cleaner and water does she need to make 39 pints of solution?
Cleaner:

Answers

Answer:

Im pretty sure its 33 and 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up a proportion

2/13 = x / 39                  Cross multiply

13*x = 2 * 39                  Combine the right

13x = 78                         Divide by 13

x = 78/13

x = 6

Why pick 13? Because the total must come to 39. You will make a mistake if you use 11 rather than 13. You must include the cleaner in the denominator. Very tricky question.

So the final answer is

Cleaner: 6

Water: 39 - 6 = 33 pints of water.

Very few of your classmates will get this if they are not in chemistry. You might even be told your answer is incorrect. It isn't.

In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.

Answers

Answer:

15.4

Step-by-step explanation:

cos A = b^2 + c^2 - a^2 / 2bc

cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)

cos X  = 17953 / 18620

cos X = 0.964

X = cos^-1 (0.964) = 15.38 = 15.4

9.66 rounded to 1 decimal place

Answers

Answer:

9.7

Step-by-step explanation:

When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:

your answer would be 9.7

please mark brainelist!!!

Which statement is most likely to be true for this distribution?

A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.

Answers

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

Consider the exponential function g(x) = 1,296x .

Find the output values for x-values x = –1.75, –1, –0.25, 0, 0.25, 0.50, 0.75, and 1.

Answers

Answer:

g(-1)=1/1296

g(.25)=1/6

g(0)=1

g(.25)=6

g(.50)=36

g(.75)=216

​g(1)=1,296

:)

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.

Step-by-step explanation:

The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this?

Answers

Answer:

To know the distance between the sun and the earth you need isolate d of the equation:

[tex]v = \frac{d}{t} \\ d = vt[/tex]

and the additional information needed is the velocity of light and the time elapsed to be in the earth

Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.

Use 3.14 as an approximation for π .

Answers

Answer:

1,254 sqaure ft

Step-by-step explanation:

Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.

The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.

What is the area of the circle?

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

Use the radius of the circle, 20/2 =10, to find the area of the circle:

A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.

The area of the triangle is:

A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568

The area of the shaded region equals the area of the triangle and subtracts the area of the circle.

This is approximately 1,568 - 314 = 1,254 square meters.

Hence, the correct answer would be an option (B).

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Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?

Answers

Answer:

$40

Step-by-step explanation:

If something is 20% off divide the number by 5 then take that number and minus it from the original number

For example

50 ÷ 5 =10

50 - 10 = 40

I hope this helps!

A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120

Answers

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

he points in the table lie on a line. What is the slope?

Answers

The slope is -3/4
Slope formula (y2-y1)/(x2-x1)

Estimate the sum of 13 and 45

Answers

Answer:

58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

13 plus 45 is 58

you add them.

do you understand?

Find the value of X URGENT!

Answers

Answer:

x=13

Step-by-step explanation:

45=3x+6

3x=39

x=13

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