A company makes a profit of 35$ per video game. The company can produce at most 200 software programs and at most 300 video games per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

Answer:

120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

Step-by-step explanation:

We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.

Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.

So, according to the question;

x + y = 150 ------------ [equation 1]

and [tex]30\% \text{ of } x + 40\% \text{ of } y=32\% \text{ of } 150[/tex]

[tex]30x+40y= 32 \times 150[/tex]

[tex]30x+40\times (150-x)= 4800[/tex]

[tex]30x+6000-40x= 4800[/tex]

[tex]10x = 6000-4800[/tex]

[tex]x=\frac{1200}{10}[/tex]

x = 120 kg

Now, putting the value of x in equation 1, we get;

x + y = 150

120 + y = 150

y = 30 kg

Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

Answer:

17/20 or 0.85

Step-by-step explanation:

3 x 4/20 + 1 x 5/20

12/20 + 5/20

( 12 + 5 ) / 20

17/20

( 0.85 )

Answer:

n = 2

Step-by-step explanation:

2 - 22 = -9n + 22 - n - 22

-20 = -9n - n

-20 = -10n

-20/-10 = -10/-10n

-2 = -n

n = 2

Answer:

The value of n is 2.

Step-by-step explanation:

First, you have to collect like-terms :

[tex]2 = - 9n + 22 - n[/tex]

[tex]2 = - 10n + 22[/tex]

Next, you have to subtract 22 on both sides :

[tex]2 - 22 = - 10n + 22 - 22[/tex]

[tex] - 20 = - 10n[/tex]

Lastly, have to divide -10 on both sides :

[tex] - 10n = - 20[/tex]

[tex] - 10n \div - 10 = - 20 \div - 10[/tex]

[tex]n = 2[/tex]

Answer:

Rational number

Step-by-step explanation:

Rational numbers are defined as the quotient (division result) of two integers

Answer:

B

Step-by-step explanation:

$4.15n - ($250 + $2.45n)

Now that we have our expression, let's set it greater than or equal to 0

$4.15n - ($250 + $2.45n) >= 0

Let's simplify the left side.

$4.15n - $250 - $2.45n >= 0.

Combine like terms.

$1.7n - $250 >= 0

Add $250 to both sides.

$1.7n >= $250

Divide both sides by $1.7

n >= 148

You would need to make 148 light sabers to make a positive profit.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]

Step-by-step explanation:

Sum of angles of triangle add up to 180°

Let the third angle be x

Create an equation and solve for x

[tex] \sf{x + 12° + 40° = 180°}[/tex]

[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]

[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

$1672.68

Step-by-step explanation:

Answer:

B. It is an irrational number

Step-by-step explanation:

A would not be true because PI does not terminate (end)

B is true, because PI does not repeat or end

C would not be true because PI does not repeat

D just would not be true

Answer:

x=10000

Step-by-step explanation:

The break even point occurs when costs equal revenue. Write the break-even formula and solve to find

C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.

Answer:

a part of a line that has one endpoint and extends indefinitely in one direction-by-step explanation:

The definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

In geometry, a ray can be defined as a line segment that has one endpoint and extends on the one direction of the line segment indefinitely.

An example of a ray is shown in the image attached below. Line segments red and blue are two rays with one endpoint that extends towards another direction indefinitely.

Therefore, the definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about a ray on:

https://brainly.com/question/1850410

Queremos encontrar y resolver una expresion algebraica para ver cuantos paquetes necesitamos para empacar los vasos.

La solución es 137 paquetes.

Veamos como obtener la solución.

Cada paquete puede sostener 10 vasos, y tenemos un total de 1367 vasos.

Entonces lo que debemos ver es cuantos grupos de vasos tenemos en 1367, esto será simplemente el cociente entre 1367 y 10.

1367/10 = 136.7

El problema ahora es que no podemos sar un 0.7 de un paquete, así que debemos redondear esto al proximo número entero, que es 137.

Así, podemos concluir que se necesitaran 137 paquetes para empacar los 1367 vasos.

Si quieres aprender más, puedes leer.

https://brainly.com/question/21692632

Answer:

3,800

Step-by-step explanation:

Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."

Hope this helps and have a nice day!

Answer:

3,800

I hope this helps!

The weight of the other block of wood is 400 grams.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.

4 of the blocks of wood each have a weight of 650 grams.

∴ (4×650) = 2600 grams is the total weight.

So, the weight of the other block of wood is (3000 - 2600) grams.

= 400 grams.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

3500cm^2

Step-by-step explanation:

Area of a triangle= bxh/2

10x10=100

7x10=70

100x70=7000

7000/2=3500

Answer:

  3500 cm²

Step-by-step explanation:

The given triangle has an area of ...

  A = (1/2)bh = (1/2)(10 cm)(7 cm) = 35 cm²

The area of the enlarged triangle will be 10² = 100 times that, or 3500 cm².

__

You can see this if you use the enlarged dimensions in the area formula:

  A = (1/2)bh = (1/2)(10·10 cm)(10·7 cm) = 100·35 cm² = 3500 cm

Answer:

0.07

Step-by-step explanation:

Anwser: Your anwser is 0.07

Answer:

Step-by-step explanation:

ohhh

Answer:

A B and E all fall on the line expressed.

Step-by-step explanation:

Answer:B = 200

Step-by-step explanation:multiply both sides by 5

5*1/5 = 5*40

B = 200

Answer:

y=-5

Step-by-step explanation:

Answer:

it's -5

Step-by-step explanation:

4y−34y−3−4y−3−3−2−5=====5y+25y+2−4yy+2y+2−2ySubtract 4y from each side.Combine like terms.Subtract 2 from each side.Simplify.

Answer:

1920 ft^2

Step-by-step explanation:

base = 48 ft

height = 48 ft - 8 ft = 40 ft

area = base * height

area = 48 ft * 40 ft

area = 1920 ft^2

Answer:

x =2, The function g(x) = g(2) = 1

Complete Question

Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for [tex] x = 3[/tex] and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ​?

Answer:

The  generally expression for the slope of [tex]y = 2x^2 + 4x[/tex] is  [tex]y' = 4x +4[/tex]

The graph is shown on the first uploaded image

The  generally expression for the slope of [tex]y=2x^2+4[/tex] is   [tex]y' = 4x[/tex]

Step-by-step explanation:

From the question we are told that

  The  equation of the curve is [tex]y = 2x^2 + 4x[/tex]

First we differentiate the equation

So  

     [tex]y' = 4x +4[/tex]

Therefore the generally expression for the slope tangent to the curve [tex]y=2x^2+4x[/tex] is   [tex]y' = 4x +4[/tex]

The  next step is to substitute for x =  3 and  x =  0.5

So  for [tex]x_1 = 3 [/tex]

    [tex]y' = 4(3) +4[/tex]

     [tex]y' =m_1= 16[/tex]

And  for  [tex]x_2 = 0.5[/tex]

      [tex]y' = 4(0.5) +4[/tex]

       [tex]y' =m_2= 6[/tex]

Here m_1  and  m_2 are slops of the curve

Next we obtain the coordinates of the tangent lines

So  at [tex]x_1 = 3 [/tex]

   [tex]y_1 = 2(3)^2 + 4(3)[/tex]

  [tex]y_1 = 21[/tex]

So the coordinate for the first tangent line is  

    [tex](x_1 , y_1 ) = (3 , 21)[/tex]

At  [tex]x_2 = 0.5 [/tex]      

    [tex]y_2 = 2(0.5)^2 + 4(0.5)[/tex]

=>  [tex]y_2 = 2.5[/tex]

So the coordinate for the second  tangent line is  

    [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex]

Next we obtain the equation for the tangent lines

 So generally the slope is mathematically represented as

        [tex]m = \frac{y - y_1 }{x-x_1}[/tex]

For   [tex](x_1 , y_1 ) = (-3 , 21)[/tex] and  [tex]y' =m_1= 16[/tex]

       [tex] 16 = \frac{y -21 }{x-3)}[/tex]

=>    [tex]y = 16x - 27[/tex]

For  [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex] and  [tex]y' =m_2= 6[/tex]

       [tex] 6 = \frac{y -2.5 }{x-0.5}[/tex]

       [tex]y = 6x -0.5[/tex]

Generally the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) is mathematically evaluated by differentiating  y=2x^2+4 as follows

     [tex]y' = 4x[/tex]

Answer:

$26.82

Step-by-step explanation:

9 * 2.98 = 26.82

pls mark brainliest, thanks :)

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

Answer:

0.5 x 7

Step-by-step explanation:

hope this helps

Answer:

domain = x

range = y

PLEASE GIVE BRAINLIST

equal

quotation marks

HOPE THIS HELPED