A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will also cost $18 per unit. The manufacturer wants to write an inequality to determine when the average cost per unit will be $24 or less.



Which inequality determines how many units (x) of the product need to be produced for the average cost to be $24 or less?

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{300+18x}{x}\le 24[/tex]

Step-by-step explanation:

Average Cost

Making a certain new product costs $300 plus $18 per product.

The total cost for x products is given by:

300 + 18x

To get the average cost, we divide the total cost by the number of products manufactured:

[tex]\displaystyle A=\frac{300+18x}{x}[/tex]

If the manufacturer wants to keep the average cost at $24 or less:

[tex]\mathbf{\displaystyle \frac{300+18x}{x}\le 24}[/tex]

This is the required inequality


Related Questions

HELP ASAP!!!
The relation given by {(-6, 3), (-2, 4), (1, 5), (4,0)} is a function.
Which ordered pair can be included with this relation to form a new relation that is also
a function?
A. (1,-5)
B. (-2, 19)
C. (4,4)
D. (6,3)

Answers

D.(6,3)

because your in put is not the same as any of the other in puts

if f(x) =3x+12 find f(-6)

Answers

the answer is -6. hope this helps

Pls help need this for my finalWhat is the value of x in the isosceles trapezoid below?
A. 13
B. 26
2
A
C. 11
D. 22

Answers

Answer:

A) 13!

Step-by-step explanation:

Just answered the question!

Answer:

13

Step-by-step explanation:

plz help me ........

Answers

Answer a is it

Step-by-step explanation

4 3/7 - 2 5/14 Can someone Please Please help me??

Answers

Answer:

29 over 14

Step-by-step explanation:

Find slop for each line
8x-4y=16

Answers

Use Cymath, it shows you the steps on how to get the slope.

Answer:

y=2x-4

Step-by-step explanation:

slope=mx+b

8x-4y=16

-4y=-8x+16

-4y/-4=y

(-8x+16)/-4=2x-4

y=2x-4

Hope this helps! :)

If x = 5, which inequality is true?


A. -6-3x > 2
B. -4 2x < -14
C. 2 + 3x > 20
D. 8-2x <7

Answers

D IS THE CORRECT ONE Step-by-step explanation:

A boy walked for 4 hours and cycled for 3 hours covering a distance of 87.6km . Later she walked for 2 hours and cycled for 4 hours covering a distance of 101.8km. What was her average speed for walking and her average speed of cycling if these did not change in the two instances? ​

Answers

Answer:

average speed for walking = 4.5 km/h

average speed for cycling = 23.2 km/h

What is the area of square UVWX?
Area= ... square units

Answers

Answer:

16

Step-by-step explanation:

4*4=16

Answer:

let's take the side XW

x =( -4, -4)

w = (-4,-8)

x1= -4 & x2 = -4

y1 = -4 & y2 = -8

using formula

[tex]d = \sqrt{ (x2 -x1) ^{2} + (y1 - y2) ^{2} } \\ = \sqrt[ ]{ (- 4 - ( - 4)) + ( - 4 - ( - 8))} \\ = \sqrt{0 + 4 } \\ = \sqrt{4} = 2sq.unit \: \\ now \: area \: of \: square \: = {side}^{2} \\ so \: = \: {2}^{2} = 4square \: unit \: [/tex]

here we end :P

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

8) The midsegment of an equilateral triangle measures 6 yards. What is the perimeter of the equilateral
triangle?
A) 18 yards
B) 36 yards
C) 6 yards
D) 9 yards

Answers

A because 6x3= 18 hope this helps

Determine the amount of the semi-annual coupon for a bond with a face value of ₱ 300,000 that pays 10%, payable semi-annually for its coupons.

Answers

Answer:

Copuon= $15,000

Step-by-step explanation:

Giving the following information:

Face value= $300,000

Coupon rate= 10%

First, we need to determine the semiannual coupon rate:

Semiannual coupon rate= 0.1/2= 0.05

Now, the coupon using the following formula:

Copuon= face value*coupon rate

Copuon= 300,000*0.05

Copuon= $15,000

there are 6 people at a party

Answers

Answer:

wait wut!!!?????????

Jackson´s Bakery sold 102 ice cream cakes and 68 fruit tarts in one weekend. Ice cream cakes are $27 and fruit tarts are $15. How much did Jackson's Bakery make in one weekend

Answers

Answer:

$3, 774

Step-by-step explanation:

102 ice cream cakes, and 68 fruits tarts

One cream cake is $27 and a fruit tart is $15

Meaning, from ice cream cakes, they made 102($27) = $2754

From fruits tarts, they made 68($15) = $1020

Find the slope of the line through each pair of points (-17, 11) , (-12, 9) 

Answers

Answer:

M = -2/5

Step-by-step explanation:

To find the slope of a line when you know two points, use the following formula.

M = y₂ - y₁ ÷ x₂ - x₁

M = 9 - 11 ÷ -12 - (-17)

M = -2 ÷ 5

M = -2/5

Hope that helps.

can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)

Answers

This is not proportional because it does not go through the origin and if you were to draw a straight line it would not not go through all the points.
Hope this helps :)

Warren was drawing a shape on the grid below. He started at (2,0) and drew a line to (2,5), then to (4,3), then to (6,5) and finally a line to (6,0). What was made after all the points were connected?

Answers

Answer:

concave pentagon

Step-by-step explanation:

Answer:

c edge 2021

Step-by-step explanation:

please help me I dont know the answer​

Answers

Answer:

2.71

Step-by-step explanation:

Its as simple as plugging in the values of y and z.

THis would give you

      -1.46 + (-3.82) + 7.99

This plus^ you can think about having a 1 in front of it like

-1.46 + 1 (-3.82) +7.99

Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:

-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71

Answer:

2.71

Step-by-step explanation:

We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.

We'll then take our -5.28 and add 7.99, which will become 2.71.

Therefore, 2.71 is your answer.

Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)

Answers

Answer :$50 is the simple InterestExplaination :

Here we have been clearly given with Principal, time period and rate of interest.

Principal (P) = $125Rate (R) = 10%Time (T) = 4 years

We have to calculate the simple Interest.

As we know that simple Interest is calculated by the formula :

[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]

Where,

S.I. is simple Interest R is rate of interest T is time

Putting the values :

[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]

Visit more :

https://brainly.com/question/26734922

What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

                               1 = 4 + b

                                b = -3

put it all together: y = -2x - 3

At a bus station, buses depart at a rate of 4 every 10 minutes. At this rate, how many buses would depart in 1 hour?

Answers

Answer:

24 buses.

Step-by-step explanation:

10 minutes equals 4 buses.

There is a total of 60 minutes, so 60 ÷ 10 = 6.

Then 4 × 6 = 24 buses.

What is the equation of the line that passes through the point (4, 3) and has a slope
of 1?

Answers

Answer:

y=x-1

Step-by-step explanation:

Answer:

y=x1

Step-by-step explanation:

Help me with number 5 rn i need help its due soon.

Answers

Answer:

It's option B

= - 1/3 -(-5/12)

= - 1/3 +5/12

Because minus and minus is plus

- - = =

Hope it's help ^_^

That me answers B yw :)

somebody help me answer these ik I'm not the smartest​

Answers

Answer:

1. 3/5

2. 70/9

3. 12 3/5

Step-by-step explanation:

hope it helps

Answer:

reduce 18/30

divide both numerator and denominator by 6

3/5

change to improper 7 7/9

multiply 7*9=63

63+7=70

70/9

Change to mixed number 63/5

63/5=12 remainder 3

12 3/5

A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
perpendicular to the first line and passes through the point (5, 4)?

Answers

Answer:

y = -x + 9

Step-by-step explanation:

The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9

A book publisher counted the words on each page of a series of books. They found that the number of words per page followed a normal distribution with a mean of 265 words and a standard deviation of 25 words.

What percentage of the pages contain fewer than 215 words?

Answers

Answer:

The answer is 2.5%

Step-by-step explanation:

Took test on edmentum and made 100%.

2.2% percentage of the pages contain fewer than 215 words.

What is a normal distribution?

The normal distribution is defined as a probability distribution that is symmetric about the mean, indicating that data close to the mean are more systematic in occurrence than data distant from the mean. In pictorial form.

The number of words per page in the book is normally distributed, Normal distribution is given as,
[tex]z = \frac{x-\mu}{\sigma}[/tex]

Where, x = number of words per page., µ = mean, σ = standard deviation
From given, µ = 265 words , σ = 25 words

Probability for the number of pages in the book is less than 265 words,

P( x < 215)
For,  x = 25,
z = (215-265)/25 = -2

From the normal distribution table, the probability of the z score is 0.022


The percent of pages in the book that are less than 215 words in length is 0.022 × 100 = 2.2%.

Thus, 2.2% percentage of the pages contain fewer than 215 words.

Learn more about Normal distribution here:
https://brainly.com/question/15103234
#SPJ5

18. The length of the minor arc AB of a circle,
centre 0, is 27 cm and the length of the major
arc is 221 cm. Find (a) the radius of the circle,
(b) the acute angle AOB.​

Answers

Hope this might help u

what is the sum of ​

Answers

Answer:

C

Step-by-step explanation:

W/6 + 5/8 = - 1 3/8 what does W equal??

Answers

Answer:

w=−12

Step-by-step explanation:

1

6

w+

5

8

=

−11

8

Step 2: Subtract 5/8 from both sides.

1

6

w+

5

8

5

8

=

−11

8

5

8

1

6

w=−2

Step 3: Multiply both sides by 6.

6*(

1

6

w)=(6)*(−2)

w=−12

Pueden responder rápido por favor? tengo hasta las 10 :v
Para preparar una ración se utilizan tres cereales: A, B y C. La ración I tiene 20 Kg del cereal A, 50
Kg del cereal B y 100 Kg del cereal C. La ración II tiene 35 Kg del cereal A, 60 Kg del cereal B y 80
Kg del cereal C. La ración III tiene 45 Kg del cereal A, 45 Kg del cereal B y 50 Kg del cereal C. Se
tiene 36000 Kg del cereal A, 40000 Kg del cereal B y 48000 Kg del cereal C. ¿Cuántas unidades
de cada ración se pueden preparar si se utiliza todo el cereal disponible?

Answers

Answer:

what are u saying I asked my Spanish teacher and she said...

Step-by-step explanation:

its D idn why hm any way have a great day if u can understand what I'm saying :D

Caroline has a mask collection of 380 masks. She keeps 45% of the masks on her wall. How many masks does she keep on her wall?

Answers

Answer:

171

Step-by-step explanation:

multiply 380 times 0.45 so like this:

380 x 0.45 = 171

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