Devin runs a factory that makes Blu-ray players. Each R80 takes 9 ounces of plastic and 2 ounces of metal. Each G150 requires 3 ounces of plastic and 6 ounces of metal. The factory has 270 ounces of plastic, 348 ounces of metal available, with a maximum of 18 R80 that can be built each week. If each R80 generates $8 in profit, and each G150 generates $9, how many of each of the Blu-ray players should Devin have the factory make each week to make the most profit?

R80:

G150:

Best profit:

Here is one:                                                         PEMDAS

12- ( 6 + 3) - 19 x 1 divided by 1

I hope this helps

Answer:

5/8

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous one:

480/768

= 0.625

Convert this to a fraction:

0.625

= 5/8

So, the common ratio is 5/8

Answer:

Step-by-step explanation:

Ynw melly.lil uzi vert, pop smoke

Answer:

min yoongi, jung hoseok, kim namjoon

Step-by-step explanation:

heh.

Answer:

1/12

Step-by-step explanation:

The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.

The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf

The third time, they have a 3/8 chance because they have already removed 2 magazines.

Multiply all of the probabilities together

5/10 * 4/9 * 3/8 = 60/720

Simplify:

60/60 / 720/60 = 1 / 12

Hope this helps!

Answer:

976

Step-by-step explanation:

CMLXXVI = − C (100) + M (1000) + L (50) + X (10) + X (10) + V (5) + I (1) = 976

Answer:

4.The data has a strong linear association.

Step-by-step explanation:

The correlation coefficient is used to determine how related points in a data set are. The coefficient is always in between 0 and 1 (or negative 1 and 0), with 0 being not related and 1 being completely related. So, the closer the coefficient is to 1 (or -1) the stronger the association. Since 0.85 is close to 1 it can be said that the data has a strong linear association.

Step-by-step explanation:

the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you

The third number is 17

Average

The average of numbers is the mean value of the numbers

The given parameters are:

Assume the third number is x

So, the average is calculated as:

[tex]Average = \frac{\sum x}{3}[/tex]

This gives

[tex]\frac{18 + 40 + x}{3} = 25[/tex]

[tex]\frac{58 + x}{3} = 25[/tex]

Multiply both sides by 3

[tex]58 + x = 75[/tex]

Subtract 58 from both sides

[tex]x = 17[/tex]

Hence, the third number is 17

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Answer:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Step-by-step explanation:

Production:

                                      Flour      yeast     Almond paste      Profit $

Bear claws B  (x₁)            6 ou       1 ou            2 TS                   0.2

Almond-filled ( x₂)          3 ou       1  ou           4 TS                   0.3

Availability                    6600      1400           4800

The Model:

z  =   0.2*x₁   +  0.3*x₂       to maximize

Subject to

1.-Quantity of flour   6600 ou

6*x₁  +  3*x₂   ≤  6600

2.-Quantity of yeast  1400 ou

1*x₁   +   1*x₂   ≤  1400

3.-Quantity of Almond paste   4800 TS

2*x₁   +  4*x₂   ≤  4800

General constraints:

x₁ ≤  0    x₂  ≤ 0   both integers

After 6 iterations using an on-line solver. Optimal solution is:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Answer:

1. 3x(x+10)

2. 2

Step-by-step explanation:

An equation is formed of two equal expressions. The least common denominator is 3x(x+1) and the equation will have 2 valid solutions.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) The least common denominator of the equation,

[tex]\dfrac{1}{x} + \dfrac{2}{x+10} - \dfrac13=0\\\\\\\dfrac{1 \times (x+10) \times 3}{x\times (x+10) \times 3} + \dfrac{2\times 3 \times x}{(x+10)\times 3 \times x} - \dfrac{1 \times x \times (x+10)}{3 \times x \times (x+10)}=0\\\\\\\dfrac{-x^2-x+30}{3x(x+10)} = 0[/tex]

B.) The valid solutions to the equations are:

[tex]\dfrac{1}{x} + \dfrac{2}{x+10} = \dfrac13\\\\\dfrac{1(x+10)+2(x)}{x(x+10)} = \dfrac13\\\\\dfrac{x+10+2x}{x^2+10x} = \dfrac13\\\\\\[/tex]

3x + 30 + 6x= x^2 + 10x

9x + 30 = x^2 + 10x

x^2+x-30=0

x^2+6x-5x-30=0

x(x+6)-5(x+6)=0

(x-5)(x+6)=0

x= 5,6

Hence, The least common denominator is 3x(x+1) and the equation will have 2 valid solutions.

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Answer:

[tex]P=16ft[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=16ft[/tex]

Depth [tex]dp=1ft[/tex]

Generally the equation for a Parabola is mathematically given by

 [tex]y=ax^2[/tex]

Since of the parabola has

Diameter [tex]d=16ft[/tex]

Depth [tex]dp=1ft[/tex]

Therefore it passes through

 [tex]x=(8,1)[/tex]

Therefore

 [tex]1=a(8)^2[/tex]

 [tex]a=\frac{1}{64}[/tex]

Since P(distance from focus to the vertex)

 [tex]a=\frac{1}{4p}[/tex]

Substituting

 [tex]\frac{1}{64}=\frac{1}{4p}[/tex]

 [tex]P=16ft[/tex]

Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

Answer:

C

Step-by-step explanation:

8×26×6=1200 cubic centimeters

hence, C is the closest

Answer:

(2x + 35)/3

Step-by-step explanation:

f(2x + 3) = 3x - 8

= 3(2x)/2 - 8

= 3(2x + 3 - 3)/2 - 8

= 3(2x + 3)/2 - 3(3)/2 - 8

= ( 3(2x + 3) - 25)/2

Therefore, f(x) = (3x - 25)/2

Let f(x) = (3x - 25)/2 = y

Therefore,

x = (2y + 35)/3 = f(y)

Hence,

f-¹(x) = f(y) = (2y + 35)/3

Just by merely replacing y,

f-¹(x) = (2x + 35)/3

Answer:

Step-by-step explanation:

[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]

lets assume that f(x) is a line, so f(x)=mx+b

[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]

the follow equation system results:

[tex]2m=3 \\ 3m+b=-8[/tex]

[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]

finally:

[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]

now is time to calculate the inverse function:

[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]

so

[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]

Answer:

after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points

Answer:

2nd answer

Step-by-step explanation:

educated guess

Answer:

7 × 5 :2 it is the answer ,i love you

Aspongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

Answer:

Step-by-step explanation:

anything  1-6

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

#teamtrees #PAW (Plant And Water)

Answer:

ASA

Step-by-step explanation:

they share the side in the middle (reflexive property) and have two congruent angles

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Answer:

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Step-by-step explanation:

3 is half of 6, so the price for 3 would be half the price of 6 books.

480/2 = 240

The price for 3 books is 240

Answer:

[tex] \large{ \tt{❃ \: STEP - BY - STEP \: EXPLANATION : }}[/tex]

[tex] \large{ \tt{↦ \: PRICE \: OF \: 1 \: BOOK = \frac{480}{6} = \boxed{ \tt{Rs \: 80}}}}[/tex]

[tex] \large{ \tt{↦ \: PRICE \: OF \: 3 \: BOOK = 80 \times 3 = \boxed{ \boxed{ \tt{Rs \: 240}}}}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⇝ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \tt{Rs \: 240}}}}}}}[/tex]

✺ Procastinating ? - There are millions of people out there crying to get one more chance ! ♪

[tex] \large{ \mathfrak{ \# StayInAndExplore \:! \: ☂}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

$14,386.25

Step-by-step explanation:

Answer:

Each side will measure 2.25 cm

Step-by-step explanation:

Perimeter is the sum of all the sides of a shape.

Since an octagon has 8 sides and the perimeter is 18,we simply divide 18 by 8.

18 ÷ 8 = 2.25

Have a wonderful day.

9514 1404 393

Answer:

  5x +2y = 20

Step-by-step explanation:

Suppose 'a' is the x-intercept of the line.

Then the slope is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(a -2)

And the y-intercept is ...

  b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)

The area of the triangle is half the product of 'a' and 'b', so is ...

  A = 1/2ab

  A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)

The area is minimized when the derivative of this is zero.

  A' = 2.5 -10/(a -2)^2 = 0

Solving for 'a' gives ...

  (a -2)^2 = 10/2.5 = 4

  a = 2 + 2 = 4 . . . . . . . . . . . x-intercept

  b = 5 +10/(4 -2) = 10 . . . . . y-intercept

  m = -5/(4 -2) = -5/2 . . . . . . slope

An equation of the line is ...

  y = -5/2x +10 . . . . . slope-intercept form

  5x +2y = 20 . . . . . standard form

__

You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.

Answer:

Height of cone = 5 cm

Step-by-step explanation:

Volume of rectangular prism with a cone hole = 163.22 cm³

Volume of rectangular prism - volume of the cone = 163.22 cm³

L*W*H - ⅓πr²h = 163.22

Where,

L = 5 cm

W = 5 cm

H = 7 cm

r = ½(3) = 1.5 cm

h = ?

Plug in the values into the equation and solve for h (height of the cone)

5*5*7 - ⅓*π*1.5²*h = 163.22

175 - 2.36*h = 163.22

-2.36*h = 163.22 - 175

-2.36*h = -11.78

Divide both sides by -2.36

-2.36*h/-2.36 ° -11.78/-2.36

h = 4.99152542

h = 5 cm (nearest tenth)

Answer:

a) See step by step explanation

b) z(s) = - 2.178

c)  z(c) = - 1.64

d) We reject H₀

e) The proportion of drivers has decreased

Step-by-step explanation:

We assume a survey with a random sample

Normality population

Size is big enough to use the approximation of binomial distribution to normal distribution

2019 sample:

sample size   n  = 963

drivers who admitted going more than 10 miles over the limit

x₁ =  315

p₁  =  315/963       p₁ = 32.71 %    or   p₁  = 0.3271   and  q₁ =  1 - 0.3271

q₁  =  0.6729

Hypothesis Test:

a) Null Hypothesis                    H₀                    p₁  =  36 %

Alternative Hypothesis        Hₐ                    p₁ <  36 %  or  p₁ < 0.36

b) To calculate z(s)  ;   z(s)  =  (  p₁  - 0.36 ) / √ (p₁*q₁)/n

z(s) =  (  0.3271 - 0.36 ) / √ ( 0.3271* 0.6729)/963

z(s) = - 0.0329 /  0.0151

z(s) = - 2.178

c) we will use a confidence interval of 95 %. Then significance level     α = 5 %    α = 0.05  As the alternative hypothesis indicates we are going to develop a one-tail test

From z- table we find  z(c) = - 1.64

d) Comparing z(s) and z(c)  |z(s)| > |z(c)|

Then z(s) is in the rejection region for H₀  we reject H₀

e) we can support that the proportion of drivers has decreased since 2002

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:

[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]

A dancing competition has 13 competitors

This means that [tex]n = 13[/tex]

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]

How many outcomes are possible?

[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]

900,900 outcomes are possible.

Answer:

$6625

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 5000

r = 6.5% = 0.065

t = 5

Step 2: Find Interest

Answer:

1/10

Step-by-step explanation:

1 dollar=100 cents

10 cents = 10/100

simplify 10/100 by dividing the numerator and denominator by 10

Ans. = 1/10

Answer:

x = 80

Step-by-step explanation:

The sum of the angles of a triangle is 180

30+70+x = 180

100 +x = 180

x = 180-100

x = 80