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

Here's a graph of a linear function. Write the equation that describes that function.

Answers

y=1/4x+3 i think is the right answer because your y-intercept is 3 and you go up one and over 4

What is the value of q?

Pls help fast

Answers

Answer:

C

Step-by-step explanation:

Chose the ratio that forms a proportion with the ratio 3/8?​

Answers

Answer:

well i donk know

so but just trying to get points

Success of each organization is
depending upon the performance of
Select one:
a. management
b. employer
c. vendor
d. employee

= employee ​

Answers

Step-by-step explanation:

Success of each organization is

depending upon the performance of

Select one employee

Solve the quadratic with quadratic formula:

4x^2 + 10x – 1 = 0

Answers

Answer:

[tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

4x² + 10x - 1 = 0

Step 2: Identify Variables

a = 4

b = 10

c = -1

Step 3: Find roots

Substitute in variables [QF]:                    [tex]\displaystyle x=\frac{-10\pm\sqrt{10^2-4(4)(-1)} }{2(4)}[/tex][√Radical] Exponents:                             [tex]\displaystyle x=\frac{-10\pm\sqrt{100-4(4)(-1)} }{2(4)}[/tex][√Radical] Multiply:                                  [tex]\displaystyle x=\frac{-10\pm\sqrt{100+16}}{2(4)}[/tex][√Radical] Add:                                        [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{2(4)}[/tex][Fraction] Multiply:                                   [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{8}[/tex][√Radical] Simplify:                                 [tex]\displaystyle x=\frac{-10\pm 2\sqrt{29}}{8}[/tex][Fraction] Factor:                                     [tex]\displaystyle x=\frac{2(-5\pm \sqrt{29})}{8}[/tex][Fraction] Simplify:                                  [tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]

please help me for this question:​

Answers

24|5
25|0, 1, 3, 8
26|4, 7, 9
27|3, 6
key in bottom right
24|5 means 245

Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home. Which equation tells us “Jada is 600 meters from school after 5 minutes”? A. D(600)=5 B. t(5)=600 C. t(600)=5 D. D(5)=600

Answers

Awnser:

The awnser is: D(5) = 600

Step-by-step explanation:

The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.

What is function?

A function is defined as a relation between a set of inputs having one output each.

Given that, Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home.

According to the question,

She is 600 meters far from school after 5 minutes,

That tells that, when it is 5 min the distance left is 600 m, i.e, 5 minutes is input and 600 is output.

Hence, The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.

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If
5
(
p
+
3
)
=
18
+
2
p
, what is the value of
p
?

Answers

Answer:

p=1

Step-by-step explanation:

Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)
7 csc^2 x + 3.5 cot x − 35 = 0

Answers

Answer:

Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is 2π. In other words, every 2π units, the y-values repeat. If we need to find all possible solutions, then we must add 2πk, where k is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is 2π:

sinθ=sin(θ±2kπ)

There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.

Step-by-step explanation:

Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval.  

Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical

Answers

Answer:

[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]

and,

[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]

Rewrite each fraction with a denominator of 20 1/4 and 11/10

Answers

1/4 is 5/20 and 11/10 is 22/20. You have to multiply the numerator the same amount of times you do to the denominator. 4x5 is 20, and you have to do 1x5 as well. At the end, you get 5/20. Hope this helps!

from the give table write slope intercept equation .

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

To find the slope given a table of x and y coordinates, you use the point-slope formula, which is  y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.

In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.

(13-9) / (4-2)

This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.

Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).

In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13

the equation would be: 13 = 2(4) + b

13 = 8 + b

b = 5

Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5

Hope this helps!

What is the slope of the line shown on the grid?

A) Undefined
B) 0
C) -2
D) 1

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) Undefined

Step-by-step explanation:

A vertical slope doesn't have a slope

Determine if the situation is additive or multiplicative AND determine the equation that corresponds to the situation.



Equation:

Additive or Multiplicative:

Answers

Answer:

The situation is Multiplicative.

The equation will be [tex]y=2x[/tex]

Step-by-step explanation:

We are given the table:

Input (x)          5       8      11

Output (y)      10     16     22

Looking at the table, we see that the value of x is doubled to get value of y

Looking at the trend: 5(2) = 10

8(2) = 16

11(2) = 22

The value of x is multiplies by 2 to get value of y.

So, The situation is Multiplicative.

Now, The equation will be [tex]y=2x[/tex]

because we saw the trend, that every value of x is multiplied by 2 to get value of y.

hey sorry bout your acc D:

5x+3y=-16
-10x-3y=11

Answers

Answer:

Simplifying
5x + 3y = 16

Solving
5x + 3y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.
5x + 3y + -3y = 16 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 16 + -3y
5x = 16 + -3y

Divide each side by '5'.
x = 3.2 + -0.6y

Simplifying
x = 3.2 + -0.6y

Step-by-step explanation:

5x+3y=16

-10x-3y=11

=-5x=-27

x=5.4

substitute x=5.4 into equation 1

5x+3y=-16

5(5.4)+3y=-16

27+3y=-16

27+16=3y

43=3y

y=14.3333

Please answer the question

Answers

Answer:

D. 2x² + 10xy + 8x²  because  (2x+ 2y) by (x + 4y)

Step-by-step explanation:

Let's mark the sides of the big square as x and a small square as y

See attached picture below

Then we will have the sides of the rectangle:

x + x + y + y = 2x + 2yandx + y + y + y + y = x + 4y

The area of the figure is:

A = lwA = (2x+ 2y)(x + 4y)   = 2x² + 8xy + 2xy + 8y²   = 2x² + 10xy + 8x²

Correct option is D.



An expression is shown.
5x + 3y - 2x - 2y - 3
Create an expression that is equivalent to the given expression.

Answers

Answer:

3x + y - 3

Step-by-step explanation:

Like Terms: In algebra, like terms are terms that have the same variables and powers.

To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used like terms :

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

(5x - 2x = 3x) + (3y - 2y = 1y or y)

3x + y

Then we add the - 3 at the end giving us:

3x + y - 3

3x- y - 3 hope I help you out mark me as a brainless if I did pls

Natalie has 16 close friends. How many ways can she choose 5 to E
bridesmaids in her wedding?

Answers

Answer:

80 ways

Step-by-step explanation:

You just miltiply 16 by 5 and you get your answer. Hope this helps!!!!!

POS
15
D
7
G
Find each length
10
CF=
FE
J.cz
E
*FD = 22

Answers

Umm uhhh uhhhhhhhhhhhhhhh

A television sells for ​$700. Instead of paying the total amount at the time of the​ purchase, the same television can be bought by paying ​$200 down and ​$50 a month for 14 months. How much is saved by paying the total amount at the time of the​ purchase?

Answers

Step-by-step explanation:

It's 200$

50×14=700+200=900

900-700=200$

$200 is saved by paying the total amount at the time of the​ purchase.

Given that, a television sells for ​$700. Instead of paying the total amount at the time of the​ purchase, the same television can be bought by paying ​$200 down and ​$50 a month for 14 months.

We need to find how much is saved by paying the total amount at the time of the​ purchase.

What is the selling price?

The selling price of something is the price for which it is sold. The difference between buying and selling prices is called the spread.

The cost price of television=200+50×14=200+700=$900

The money saved by paying the total amount =900-700=$200

Therefore, $200 is saved by paying the total amount at the time of the​ purchase.

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Question 4
1 pts
In the inequality x +4< -14,, which answer is correct
O the solution set is x is less than 10, the circle is open; and the graph (line) moves to the right
the solution set is x is less than -18, the circle is open; and the graph (line) moves to the left
O the solution set is x is less than negative 10, the circle is open; and the graph (line) moves to the
left.
O the solution set is x is greater than negative 10, the circle is open; and the graph (line) moves to
the left.

Answers

So uh uhm yes uhhhhhhhhhhhhhhhh

Answer: C. The solution set is x is less than -18, the circle is open; and the graph (line) moves to the left.

Step-by-step explanation:

1. x < (-4) -14 (subtract 4 from each side, then add)

2. x < -18

Your family picked apples over the weekend. 1/8 of the apples picked were golden delicious and 1/4 were McIntosh. The remaining were Granny Smith. What fraction of the apples were Granny Smith apples

Answers

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+1/8=3/8

8/8-3/8=5/8

A puzzle has 80 pieces. Carlos has completed 60% of the puzzle. How many pieces of the puzzle has he put together?

Answers

Step-by-step explanation:

100% of the puzzle = 80 pieces

60% of the puzzle = 80 * (60/100) = 48 pieces.

Therefore Carlos has put 48 pieces together.

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)

5√3x^2+4

Answers

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

Ted won 41 pieces of gum playing basketball at the county fair. At school he gave two to every student in his math class. He only has 9 remaining. How many students are in his class?

Answers

Answer:

16 People have 2 pieces of gum

WILL GIVE BRAINLY Which one of the following angles are supplementary to ZDOE in the figure given below?

Answers

Answer:

AOE

Step-by-step explanation:

A supplementary angle equals 180 which is also a straight line.

Please help and thank you

Answers

Answer:

in lowest term it's

Step-by-step explanation:

10/33

Answer:

10 : 33

Step-by-step explanation:

Both 20 and 66 are multiples of 2.

20 = 2 x 10

66 = 2 x 33

So, this ratio becomes 2 x 10: 2 x 33

Dividing both sides by 2 gives us 10:33, which can't be simplified further.

Translate the verbal expression: Six times a number yields 48.

Answers

six times eight equals fourtyeight

6x8=48

The verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators. A mathematical situation can be expressed verbally as a condensed version. It describes the connections and operations that take place between quantities.

It is given that the verbal expression is six times a number yields 48.

Suppose the number is x,

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The expression is translated as,

6×8=48

Thus, the verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.

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Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs.

Answers

Answer:

Umm I don't think you wrote out the whole question...

Step-by-step explanation:

$18 nine hours, $9 one hour = $177

$18 eight hours, $9 two hours = $162

$18 seven hours, $9 three hours = $153

$18 six hours, $9 four hours = $144

$18 five hours, $9 five hours = $135

$18 four hours, $9 six hours = $126

$18 three hours, $9 seven hours = $117

$18 two hours, $9 eight hours = $108

$18 one hour, $9 nine hours = $99

gives the value of the expression b x 4 for b = 21?

Answers

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

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