A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is
200 + 3/q
q
. The cost per item to produce q items in factory B is
300 + q/
3q
. Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.

The average cost per item to produce q items in each factory is

Answers

Answer 1

Answer:

(700 + 51q)/4q

Step-by-step explanation:

Given costs:

(200 + 13q)/q and (300 + 25q)/2q

Sum of the costs:

(200 + 13q)/q + (300 + 25q/2q) =(400 + 26q)/2q + (300 + 25q)/2q =(700 + 51q)/2q

Average cost is sum divided by number:

(700 + 51q)/2q ÷ 2 = (700 + 51q)/4q
A Company Has Two Factories, Factory A And Factory B. The Cost Per Item To Produce Q Items In Factory

Related Questions

Gary wants to buy a video game with a selling price of 48 on sale for 50% off the sales tax in his state is 4.5% how much will Gary have to pay in all?

Answers

Answer:

$25.08

Step-by-step explanation:

48/2= 24(50% of 100% simplifies to 1/2)

24(0.045)=1.08

24 + 1.08 = 25.08

NEED ANSWER ASAP PLEASE!! WILL GIVE BRAINLIEST

The number of weekly social media posts varies directly with the square root of the poster's age and inversely with the cube root of the poster's income. If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?

Answers

Answer:

k= 320

.................

Select the expression that is equivalent to 3(2x + 5) − 4x.

Question 12 options:

A. 2x + 15


B. x + 8


C. 2x + 5


D. x + 15

Answers

It would be A. 2x+15
Because you use the distributive property which equals 6x+15-4x
Then you add like terms so 6x-4x=2x soo 2x+15

Hope this helps

Have a great day/night

a cell phone company charges one $20 for the phone and then $35 a month for phone service another cell phone company charges 55 a month for phone service with a free phone after how many months will the phone services cost the same ​

Answers

After 1 month

20 + 35x = 0 + 55x

Can someone help me please

Answers

0 there are no odd number 1-15

Answer:

0.5333

Step-by-step explanation:

Between numbers 1 and 15 there are 8 odd numbers..

so 8/15 , and in decimal form ut is 0.5333

kristen is building a pattern using triangles, the table shows the number of triangles in the first 4 terms of that pattern. which formula describes the number of triangles in the nth term of the pattern.

A. n=t+2
B.n=t+3
C. n=2t-1
D. n=2t + 3​

Answers

Answer:

its C. im doing test to i saw different page

Step-by-step explanation:

diff pge

Writer the ratio in 3 ways 4 books for every 25 shelves

Answers

Answer:

400:2500 , 40:250 ,and 4:25

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream a customer gets to choose a cone and a type of ice cream how many events are described

Answers

Answer:

2 events are described.

Step-by-step explanation:

Because only three types of cones and 31 flavours of ice cream.

1

Mary and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of

windflower bulbs and bags of daffodil bulbs. Mary sold 10 bags of windflower bulbs and 4

bags of daffodil bulbs for a total of $226. Darryl sold 6 bags of windflower bulbs and 4 bags of

daffodil bulbs for a total of $166. What is the cost each of one bag of windflower bulbs and

one bag of daffodil bulbs?

Answers

Answer:

15 windflower bulbs

19 daffodil bulbs

Step-by-step explanation:

Given

Represent windflower with W and daffodil with D.

So:

Mary's sales is:

10W + 4D = 226 --- (1)

Darryl's sales is:

6W + 4D = 166 ---- (2)

Required

Solve for W and D

We'll make use of elimination method.

Start by subtracting (2) from (1)

10W - 6W + 4D - 4D = 226 - 166

4W = 60

Multiply both sides by ¼

¼ * 4W = 60 * ¼

W = 60 * ¼

W = 15

Substitute 15 for W in (1)

10W + 4D = 226

10 * 15 + 4D = 226

150 + 4D = 226

Collect like terms

4D = 226 - 150

4D = 76

Multiply both sides by ¼.

¼ * 4D = 76 * ¼.

D = 19

Write an inequality to represent, "x is at least 30"

Answers

Answer:

x ≥ 30

Step-by-step explanation:

The "≥" sign means greater than or equal to. So the equation reads, "x is greater than or equal to 30."

If the diagonal of a television screen is 24 inches and the width is 16 inches,
what is the height of the screen? Leave the answer in simplified radical form
Please show you're work

Answers

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.

15/x = 5/6


Plz help me solve this proportion of multiplication plz help

Answers

Step 1: Cross-multiply.

15 /x = 5 /6

(15)*(6)=5*x

90=5x

Step 2: Flip the equation.

5x=90

Step 3: Divide both sides by 5.

5x /5 = 90 /5

x=18

Answer:

x=18

Answer:

x=18

Step-by-step explanation:

divide 15 by 5/6= 15 times 6/5, simplify, 3 times 6, simplify, 18

give the other person brainliestt

WILL mark brainliest

Answers

Answer:

do u have to find the pattern?

Step-by-step explanation:

I NEED HELP ASAP PLEASE DONT JUST TYPE FOR POINTS ACTUALLY HELP MEE

Answers

Answer:

i think it's A but don't quote me on it

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

What is the gradient of the blue line?​

Answers

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5


A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?

Answers

Answer:

$7

multiply .07 times 100

which statement and reason best complete the proof

Answers

Answer:

Segment EG ≅ segment EG by the reflexive property.

Step-by-step explanation:

In the diagram given, already, two angles (<H and <HEG) of ∆HEG has been stated to be equal to two corresponding angles (<F and <FGE) of ∆FGE.

To prove that ∆HEG is congruent to ∆HEG by the Angle-Angle-Side Congruence Theorem, we need to state that they also have one corresponding side that is congruent.

Therefore, the statement and reason that will complete the proof would be:

Segment EG is congruent to segment EG by the reflexive property.

Both triangles share the same segment, EG. This completes the proof.

Solve for x: x — 10 = 3х – 12

Answers

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x−10−3x=3x−12−3x

−2x−10=−12

Step 2: Add 10 to both sides.

−2x−10+10=−12+10

−2x=−2

Step 3: Divide both sides by -2.

−2x/−2 = −2/−2

x = 1

A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?

Answers

Answer:    3/5

Step-by-step explanation:

Fist find  out how many whites are there and divide it by the total to find the probability.

9/15   simplify it to  3/5

Can I please get some help on this
Graph the linear equation.
y=1/4x​

Answers

Answer:

Step-by-step explanation:

Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.

Answers

Answer:

We can apply the straight-line method to solve for the value of the computer every year.

Step-by-step explanation:

Step one:

What is depreciation?

It can be defined as the loss of value of a commodity.

In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.

We are told that the computer cost is $1000

let the number of years taken for the computer to depreciate be x

Step two:

Say we want to find the value of the computer after 1 year, the value of the computer will be

Value of computer= 1000-20/100*1000

Value of computer= 1000-0.2*1000

Value of computer= 1000-200

Value of computer= $800

Step three:

For the second year, the value will be

Value of computer= 800-20/100*800

Value of computer= 800-0.2*800

Value of computer= 800-160

Value of computer= $640

Answer:

This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.

Step-by-step explanation:

PLATOOOOOO

2:4:2 in simplest form ratio

Answers

Answer: 1 : 2 : 2

Step-by-step explanation:

2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.

Two apps on your phone take away points for using your phone at school. You have 140 points on the first app and 80 points on the second app when a school day begins. Each time you check your phone, you lose 10 points on your first app and $p$ points on your second app. After you check your phone ten times, you have the same number of points on each app. Find the value of $p$

Answers

Answer: p = 4

Step-by-step explanation:

For app one, you start with 140 points, and you lose 10 each time you check your phone.

Then, if you check your phone x times, you will have:

140 - x*10 points in total.

For app two, you start with 80 points, and you lose p points each time you check your phone.

Then, if you check your phone x times, you will have:

80 - x*p points left

We know that when x = 10, you have the same number of points in both apps, then we have the equation:

140 - (10)*10 = 80 - (10)*p

We can solve this for p

140 - 10*10 = 80 - 10*p

140 - 100 = 80 - 10*p

40 = 80 - 10*p

10*p = 80 - 40

10*p = 40

p = 40/10 = 4

- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.

Answers

Answer:

(15+3)/6= the input

18/6= 3

since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:

6*3= 18

and 18-3= 15 so it checks out.

Step-by-step explanation:

I hope this helps :)

8, 6, 4, 2, 0, ...
The first 5 terms of a linear sequence are shown above.
What is the 100th term in the sequence?

Answers

9514 1404 393

Answer:

  -190

Step-by-step explanation:

The n-th term of an arithmetic (linear) sequence is given by ...

  an = a1 +d(n -1)

where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.

  an = 8 -2(n -1)

Then the 100th term is ...

  a100 = 8 - 2(100 -1) = 8 -198 = -190

The 100th term is -190.

A cabinet holds 16 plates and
12 bowls. What is the ratio of plates
to bowls written in simplest form?

Answers

Answer:

4:3

Step-by-step explanation:

Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-

Answers

260meters because 70+70=140 and 60+60=120 which is 140+120=260
This answer applies to the question only if the 3 locations are collinear, if they are not I don’t believe that there is a possible solution for the problem

which of the following is a point on the graph of y=(1/2)x​

Answers

Answer:

left, hope this helps

Step-by-step explanation:

6. What is the solution to the equation 2/3x + 1 = 1/6x - 7? *
X = -16
x = -4
x = 4
X = 16

Answers

Answer:

x=-16

Step-by-step explanation:

2/3x+1=1/6x-7.

Subtract 1/6x.

1/2x+1=-7

subtract 1.

1/2x=-8

divide by 1/2.

x=-16.

Hope this helps plz hit the crown :D

Step-by-step explanation:

[tex] \frac{2}{3} x + 1 = \frac{1}{6}x - 7 \\ \frac{4}{6} x - \frac{1}{6} x = - 7 - 1 \\ \frac{3}{6} x = - 8 \\ \frac{1}{2} x = - 8 \\ \boxed{ x = - 16}[/tex]

-16 is the right answer.

In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?

Answers

77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.

77% of 650 is 500.5.
23% of 650 is 149.5.

650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5

It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.

The number of paper newsletters the school needed is given by the equation A = 149.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of paper newsletters the school needed be A

Now , the equation will be

The percentage of parents who prefers newsletters electronically = 77 %

So , percentage of parents who prefers paper newsletters = 100 % - 77 %

The percentage of parents who prefers paper newsletters = 23 %

The total number of parents = 650

So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents

Substituting the values in the equation , we get

The number of paper newsletters the school A = ( 23/100 ) x 650

The number of paper newsletters the school A = 149.5

Therefore , the value of A is 149.5

Hence , the equation is A = 149.5

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

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