A company makes a profit of $60 per software program and $45 per video game. The company must produce both and can produce at most 225 software programs and at most 350 video games per week. Total production cannot exceed 455 items per week.
(a) Write out the set of inequalities you would use to represent the constraints in this situation.
(b) Identify the corner points.
(c) How many items of each kind should be produced per week to maximize profit? Show your work. Be sure
to show the comparison in your work.
Use linear programming to solve.

Answer:

Step-by-step explanation:

Given number

It is not in scientific notation because:

As we see 17.4 > 10 which is against the rule above

[tex] \longmapsto \: perimeter \: of \: rectangle = 2(l + b) \\ \\ \longmapsto2(8 + b) = 28 \\ \\ \longmapsto \: 8 + b = 14 \\ \\ \longmapsto \: b = 6cm[/tex]

Answer:

2, 5, 11, 23, 47, 95, 191

A, Z, B, Y, C, X, D, W, E, V

Step-by-step explanation:

1. 2, 5, 11, 23, 47, ...95, 191

5 - 2 = 3

12 - 5 = 6

23 - 11 = 12

47 - 23 = 24

Next

(24 × 2) + 47

= 48 + 47

= 95

Next

(48 × 2) + 95

96 + 95

= 191

Next

(96×2) + 191

192 + 191

= 383

The pattern follows (difference ×2) + previous number

That is,

(5 - 2) * 2 + 5

3*2 + 5

6 + 5

= 11

2, 5, 11, 23, 47, 95, 191

2. A, Z, B, Y, C, ...

First letter , 26th letter, 2nd letter, 25th letter, 3rd letter, 24th letter, 4th letter, 23rd letter, 5th letter, 22nd letter

A, Z, B, Y, C, X, D, W, E, V

Answer:

B. 19.1cm

Step-by-step explanation:

Perimeter of a square = 4 × length

Perimeter = 54cm

Perimeter of a square = 4 × length

54 = 4 × length

54 = 4l

Divide both sides by 4

l = 54 / 4

= 13.5cm

Find the length of a diagonal,

Diagonal = hypotenuse

Using Pythagoras theorem

Hypotenuse^2 = opposite^2 + adjacent^2

Opposite = adjacent in a square because of the equal length

Opposite = adjacent = 13.5cm

Hypotenuse^2 = opposite^2 + adjacent^2

= 13.5^2 + 13.5^2

= 182.25 + 182.25

Hypotenuse^2 = 364.5

Find the square root of both sides

√Hypotenuse^2 = √ 364.5

Hypotenuse = 19.09cm

To the nearest tenth = 19.1cm

B. 19.1cm

This Question is Incomplete

Complete Question

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an

hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A. 28 + 65H < 250

B. 28 + 65H > 250

C. 65 + 28H < 250

D. 65 +28H > 250

2) What is the largest whole number of hours that Anand can afford?​

Answer:

1) C. 65 + 28H < 250

2) 6 hours

Step-by-step explanation:

We are told in the question that:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an

hourly rate of $28. The plumber only charges for a whole number of hours.

Hences we have:

$65 + 28 × H

We are told that:

Anand would like to spend no more than $250,

Hence,our equation becomes:

$65 + 28H ≤ $250

Where H = Hourly rates of the plumber.

1) Which inequality describes this scenario?

From the given options and our calculations above, Option C) 65 + 28H < 250 is the correct answer

2) What is the largest whole number of hours that Anand can afford?​

We would use our equation above to solve for this.

65 + 28H < 250

= 65 + 28H ≤ 250

We convert or inequality sign to equal to sign

= 65 + 28H = 250

28H = 250 - 65

28H = 185

H = 185/28

H = 6.6071428571 hours

Therefore, the largest whole number of hours that Anand can afford is 6 hours

Answer:

65+28H [tex]\leq[/tex] 250

6 hours

Step-by-step explanation: The answer from Khan

Answer:

1650

Step-by-step explanation:

You just need to add all of these numbers together 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74 78 82 86 90 94 98 102 106 110 114.

You may ask how got these numbers. Well there is a pattern (x+4). X is the  previous number.

Answer:

Step-by-step explanation:

The multiplication property of equality

Answer:

[tex]x=55/2=27.5[/tex]

Step-by-step explanation:

We have the equation:

[tex]3x-1-8=41+x+5[/tex]

First, let's simplify our equation. Subtract on the left:

[tex]3x-9=41+x+5[/tex]

And add on the right:

[tex]3x-9=46+x[/tex]

Now, add 9 to both sides:

[tex]3x=55+x[/tex]

Subtract x from both sides:

[tex]2x=55[/tex]

Divide both sides by 2. So, the value of x is:

[tex]x=55/2=27.5[/tex]

And we're done!

Answer:

x = 27.5

Step-by-step explanation:

3x - 1 - 8 = 41 + x + 5

~Combine like terms

3x - 9 = 46 + x

~Add 9 to both sides

3x = 55 + x

~Subtract x to both sides

2x = 55

~Divide 2 to both sides

x = 27.5

Best of Luck!

Answer:

5F + (-9)C = 160

39F = 3.9C rounded to the nearest tenth of a degree

Step-by-step explanation:

Edgenuity

Answer:

Person above me is Correct

Step-by-step explanation:

Edge

Answer:

390

Step-by-step explanation:

plug in 7 for the x values and solve and you get 390.

Answer:

We see that it is always possible to write both M and N as the products of the same prime factors, albeit with different exponents. Some of the exponents will need to be zero.

Now, both GCD(M, N) and LCM(M, N) are products of the same prime factors where the exponents in G are the least of the corresponding two, whilst in L they are the largest:

GCD(M, N) = p min(a, α) q min(b, β)· ... · r min(c, γ),

LCM(M, N) = p max(a, α) q max(b, β)· ... · r max(c, γ).

Now, (2) thus insures that (1) holds. To continue the example:

GCD(12, 10) = 213050 = 2,

LCM(12, 10) = 223151 = 60.

Naturally, 12×10 = 2×60.

Step-by-step explanation:

The value of m + n if, m and n are positive integers greater than 1. The product of GCD and LCM of the integers is 143 is 24.

In mathematics, a number that is obtained by multiplying two or more other numbers together is known as the product. For instance, the result of multiplying 2 and 5 together is 10, or the product.

Given:

m and n are positive integers greater than 1,

The product of GCD and LCM of the integers is 143,

The product of GCD and LCM of the integers is  equal to the number's product, so,

m × n = 143

Factorize the number 143 as 11 × 13

As you can see that there are only two numbers whose product is 143, and they are greater than 1,

Thus, m = 11 and n = 13.

m + n = 11 + 13 = 24

To know more about the product:

brainly.com/question/29775042

#SPJ2

Answer:

Step-by-step explanation:

Buying price = 375

Mark up = 25%

Mark up value =  (25/100) * 375 = 93.75

Selling Price = buying price + markup value

Selling Price = 375 + 93.75

Selling Prince = 468.75

A quicker way (perhaps) is

Selling price = buying price (1 + 0.25)

Selling prince = 375*1.25 = 468.75

Answer:

171

Step-by-step explanation:

9x + 9y

9(10) + 9(9)

90 + 81

171

Best of Luck!

x = 10

y = 9

9x + 9y

by putting the values , we get

9(10) + 9(9) = 90 + 81 = 171

171

Answer:

the second gym is more expensive

Step-by-step explanation:

i got it right when i did the test/quiz

Aaron is incorrect. Because the cost of the second option is higher than the first one.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Aaron can join a gym that charges $19.99 per month, plus an annual $12.80 fee. Then the total cost for 10 months will be

⇒ $19.99 x 10 + $12.80

⇒ $212.7

If he can pay $21.59 per month. Then the total cost for 10 months will be

⇒ $21.59 x 10

⇒ $215.9

He thinks the second option is better because he plans to use the gym for 10 months. Aaron is incorrect. Because the cost of the second option is higher than the first one.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

3 people went to the movies. Equation: $6.25p+12=30.75

Step-by-step explanation:

To find your answer, subtract $12 immediately because it is one cost and not unknown. Then, divide the difference between $30.75 and $12 ($18.75) by $6.75. The quotient is the number of people went to see the movie. In the equation, solve for p.

Answer:

3 people went to the movies. Equation: $6.25p+12=30.75

Step-by-step explanation:

Answer:

14x + 5 = 31

x= 13/7

2x - 3y = -29

=2x - 3y +29 =0

Step-by-step explanation:

14x + 5 = 31

first step move the +5 to the other side beside the 31 it will become -5

Then subtract the numbers 31-5 =26

14x=26

Divide both sides by 14

x= 13/7

Answer:

3.5

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

just took the quiz

Answer:

8 and -56

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Answer:

What measure of center is most appropriate to use to describe a typical value for the data in this distribution? it said it in the question

Answer:

[tex]y = 3 \div 4x + 10[/tex]

Answer:

A

Step-by-step explanation:

X is either larger than -1 or smaller than 3 which is demonstrated in the equation in option A

Answer:

(-4, -1)

Step-by-step explanation:

The midpoint formula is [ (x1+x2/2,y1+y2/2) ]

(-1+(-7)/2, 2+(-4)/2)

(-8/2, -2/2)

(-4, -1)

Best of Luck!

Answer: 9x - 6y

Step-by-step explanation:------------------------

Answer:

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

Step-by-step explanation:

first you factor out a five to make it 3x^2 - 2x - 8

then you split into (3x+?) and (x+?)

then using guess and check (this is not the best method but I use it) you get

(3x+4)(x-2) and then you bring the 5 so its 5(3x+4)(x-2)

Answer:

yes

Step-by-step explanation:

because yes

Answer:

c=3 did you know that acording to the number letter the letter c is eqal to 3 and when said as c=3 looks like your special no no zone and c======3 looks like my special nono zone hahahahahahahahaahahahhahahahahahahhaahahahahhaahahaahahah

Step-by-step explanation:

_/(-o__-o)

Answer:

Trick question ;)

Step-by-step explanation:

The misdirection in this riddle is in the second half of the description, where unrelated amounts are added together and the listener assumes those amounts should add up to 30, and is then surprised when they do not ⁠— ⁠there is, in fact, no reason why the (10 ⁠− ⁠1) ⁠× ⁠3 ⁠ + ⁠2 ⁠ = ⁠29 sum should add up to 30.

The exact sum mentioned in the riddle is computed as:

SUM = $9 (payment by Guest 1) +

          $9 (payment by Guest 2) +

          $9 (payment by Guest 3) +

          $2 (money in bellhop's pocket)

The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totalling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.

To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.

Thus, the sensible sum that we really desire is this one:

$30 = $1 (inside Guest pocket) +

        $1 (inside Guest pocket) +

        $1 (inside Guest pocket) +

        $2 (inside bellhop's pocket) +

        $25 (hotel cash register)

This sum does indeed come out to $30.

To further illustrate why the riddle's sum does not relate to the actual sum, we can alter the riddle so that the discount on the room is extremely large. Consider the riddle in this form:

Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $10. To rectify this, he gives the bellhop $20 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $6 and keep $2 as a tip for himself. Each guest got $6 back: so now each guest only paid $4; bringing the total paid to $12. The bellhop has $2. And $12 + $2 = $14 so, if the guests originally handed over $30, what happened to the remaining $16?

Now it is more obvious that the question is quite unreasonable. One cannot simply add a couple of payments together and expect them to total an original amount of circulated cash.

More economically, money is accounted by summing together all paid amounts (liabilities) with all money in one's possession (assets). That abstract formula holds regardless of the relative perspectives of the actors in this exchange.

The guests of the hotel paid $27, but also have $3 among their pockets at the story's end. Their assets are $3, and their liabilities are $27 ($30 = 27 + 3). Thus, the original total is accounted.

From the perspective of the hotel clerk, the hotel has $25 in assets and lost $5 in liabilities ($30 = 25 + 5).

From the perspective of the bellhop, his assets are $2, and his liabilities are $3 to guests and $25 to the register at the desk ($30 = 2 + 3 + 25).

To illustrate the issue through equations:

1) 10 + 10 + 10 = 30

2) 10 + 10 + 10 = 25 + 2 + 3

3) 10 + 10 + 10 - 3 = 25 + 2 + 3 - 3 (adding -3 to both sides of the equation to cancel out the +3 on the right side)

4) 10 - 1 + 10 - 1 + 10 - 1 = 25 + 2

5) 9 + 9 + 9 = 25 + 2 (obs: tip to bellhop has already been paid)

6) 27 = 27

How the riddle is deceptive comes in line 8:

7) 9 + 9 + 9 = 25 + 2

8) 9 + 9 + 9 + 2 = 25 (pushing +2 to the other side without inverting the sign)

9) 27 + 2 = 25

10) 29 != 25

How it should be:

7) 9 + 9 + 9 = 25 + 2

8) 9 + 9 + 9 -2 = 25 + 2 -2 (adding -2 to both sides of the equation to cancel the +2 on the right side, which means the bellhop returned the tip or gave a discount of $2)

9) 9 + 9 + 9 - 2 = 25

10) 27 - 2 = 25

11) 25 = 25

The puzzle should subtract the bellhop's tip from the $27 rather than add it.

Answer:

1. d

2. a

3. c

4. b

Answer:

1. -6 (d)

2. -1 (a)

3. 15 (c)

4. 3 (b)

Step-by-step explanation:

Answer:

[tex] r = \sqrt{\frac{3Q}{\pi(12 + h)}} [/tex]

Step-by-step explanation:

[tex]Q = 4\pi {r}^{2} + \frac{1}{3} \pi {r}^{2} h \\ \\ Q = {r}^{2} \bigg(4\pi + \frac{1}{3} \pi h \bigg)\\ \\ Q = {r}^{2} \pi\bigg( \frac{12}{3} + \frac{1}{3} h \bigg)\\ \\ Q = {r}^{2} \pi\bigg( \frac{12 + h}{3} \bigg)\\ \\ {r}^{2} = \frac{Q}{\pi\bigg( \frac{12 + h}{3} \bigg)} \\ \\ {r}^{2} = \frac{3Q}{\pi(12 + h)} \\ \\ r = \sqrt{\frac{3Q}{\pi(12 + h)}} [/tex]