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.

Answer:

well i donk know

so but just trying to get points

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.

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

Answer:

16 People have 2 pieces of gum

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:

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.

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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Answer:

p=1

Step-by-step explanation:

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

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

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]

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.

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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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]

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

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Success of each organization is

depending upon the performance of

Select one employee

Answer:

80 ways

Step-by-step explanation:

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

Answer:

A

Step-by-step explanation:

Answer:

A) Undefined

Step-by-step explanation:

A vertical slope doesn't have a slope

Answer:

AOE

Step-by-step explanation:

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

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.

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+1/8=3/8

8/8-3/8=5/8

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

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!

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.

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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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.  

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Answer:

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:

The area of the figure is:

Correct option is D.