To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?

Answers

Answer 1

Answer:

106 items

Step-by-step explanation:

We are actually finding the "break even" point, where revenue = costs.

Set the revenue 7.5x - 100 equal to the costs 79.86 + 5.8x:

7.5x - 100 = 79.86 + 5.8x

Group the x terms together:    

1.7x  - 100  =  79.86

and then group the constants together on the right side:

  1.7x = 179.86

Solving for x, we get 105.8 (items)

Round this up:  106 items

The company will begin making a profit as production passes 106 items.

Answer 2

Answer:

first one : 7.5x -100 > 79.86 + 5.8x

second one : x > 105.8

last one : 106

Step-by-step explanation:


Related Questions

25 [tex]\sqrt{x}[/tex] 64 +187

Answers

Answer:

x = 17/4 = 4.250

x = 11/2 = 5.500

Step-by-step explanation:

5.500 is the correct answer


1. The function below models the value of Tiana's car, where x represents
the number of years since she purchased the car. What is the rate of
growth or decay?*
f(x) = 24,000. 0.88
O Option 2 -88% Growth
O Option 3 -12% Decay
O Option 1 - 88 % Decay
O Option 4 - 12% Growth

Answers

Answer:

option 4

Step-by-step explanation:

Option 3 -12% Decay

Step-by-step explanation:

y = x2
-2
What is the Domain:

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?

Answers

Answer:

The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57

Step-by-step explanation:

x = PER page

y = total

Online scrapbooking equation:

y = 45 + x

Family friend equation:

y = 9 + 4x

Where prices (y) would be equal:

y = 45 + x     (Multiply this by -4)

y = 9 + 4x

y = 9 + 4x

-4y = -180 - 4x

-3y = -171

y = 57

y = 45 + x

-y = -9 - 4x

0 = 36 - 3x

3x = 36

x = 12

b) Find x and y.
x = 10-6

Answers

Answer:

to find y you have to do trigonometry


When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.

Answers

Answer:

Temperature after 10 minute = 27.9 degree Celsius

Step-by-step explanation:

Current temperature, P = 100 degree Celsius

% rate in temperature loses = 12% per minute = 0.12

Time,  t = 10 minutes

Temperature after t minutes ,

                                           [tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]

                                           = 27.9 degree Celsius

straight line graphs

Answers

Answer:

I don't get it what is the question ❓

What is the answer ?????

Answers

Step-by-step explanation:

very difficult............

x+2y =27 and 2x-y=19

Answers

the answer
y=7. x= 13

Answer:

x = 13 , y = 7

Step-by-step explanation:

x + 2y = 27 => x = 27 - 2y ---------( 1 )

2x - y = 19 ------------ ( 2 )

Substitute ( 1 ) in ( 2 ) :

                         2x - y = 19

                         2(27 - 2y) - y = 19

                         54 - 4y - y = 19

                             -5y = 19 - 54

                             -5y = -35

                                y = 7

Substitute y = 7 in ( 1 ) :

                            x = 27 - 2y

                            x = 27 - 2( 7 )

                           x = 27 - 14

                          x = 13  

Please help me with this

Answers

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

Con procedimiento por favor

Answers

Answer:

C

Step-by-step explanation:

Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers

Answers

Answer:

2.64 km

Step-by-step explanation:

The first step is to calculate the distance in meters

= 24×110

= 2640 meters

1km= 1000 meter

2640 meters to kilometer

= 2640/1000

= 2.64 kilometers

Hence the distance is 2.64 km

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5

Answers

I think the answer is the first option.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA

Answers

Answer:

B

Step-by-step explanation:

y = k/(x + 3)

Let x = 2

Let y = 8

k = ?

8 = k/(2 + 3)      Combine the terms on the right

8 = k/(5)            Multiply both sides by 5

8*5 = k

k = 40

Let x = 7

y = 40/(7 + 3)

y = 40/10

y = 4

Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places​

Answers

Answer:

0.9

Step-by-step explanation:

His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.

Solution:

The z score shows by how many standard deviations the raw score is above or below the mean.

Given that:

The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96

The margin of error (E) is given by:

[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]

help i give many points

Answers

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Answers

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

How many in five days?

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Plsss help I will give brainliest

Answers

The correct answer is A. Grade 7
In the table, it shows that for both grades 7 and 8 there are 10 students in band so it’s equal

I swear there are never tutors

Answers

Answer:

5-2y (the last option)

hope this helps!

please give brainiest<3

Answer:

2y-5

Step-by-step explanation:

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Answers

Step-by-step explanation:

Feel free to ask for more help. I love Linear Algebra

(-2,0);(0,7)
A.What is the slope?

B.What is the equation in point-slope form?

Answers

Answer:

A. 7/2      B.y - 0 = 7/2(x + 2)

Step-by-step explanation:

y2 - y1 / x2 - x1

7 - 0 / 0 - (-2)

7 / 2

= 7/2

y - 0 = 7/2(x + 2)

How do I solve this?

Answers

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

What is the answer I need helppppp

Answers

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant

Answers

Answer:

a is the answer because I just did that question and got 100 percent.

I need help fast please!

Answers

what is this my brain isn’t comprehending

The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Can you please ans me?? ​

Answers

Answer:

see explanation

Step-by-step explanation:

A linear pair of angles sum to 180° , then

3x + 10 + 4x - 5 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

3x + 10 = 3(25) + 10 = 75 + 10 = 85°

4x - 5 = 4(25) - 5 = 100 - 5 = 95°

------------------------------------------------------------

3x - 3 + 5x + 7 = 180

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

Then

3x - 3 = 3(22) - 3 = 66 - 3 = 63°

5x + 7 = 5(22) + 7 = 110 + 7 = 117°

Answer:

see explanation

Step-by-step explanation:

A linear pair of angles sum to 180° , then

3x + 10 + 4x - 5 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

3x + 10 = 3(25) + 10 = 75 + 10 = 85°

4x - 5 = 4(25) - 5 = 100 - 5 = 95°

------------------------------------------------------------

3x - 3 + 5x + 7 = 180

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

Then

3x - 3 = 3(22) - 3 = 66 - 3 = 63°

5x + 7 = 5(22) + 7 = 110 + 7 = 117°

What is the slope that passes through the points (-8, -7) and (-5, 2)?​

Answers

Answer:

3

Step-by-step explanation:

The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,  

y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!

Answer:

3

Step-by-step explanation:

To find the slope given two points, we use the slope formula

m = ( y2-y1)/(x2-x1)

m = ( 2 - -7)/(-5 - -8)

   = (2+7)/( -5+8)

  9/3

  3

what is the percent increase between 8,863,052 and 9,149,840?

Answers

Answer:

[tex]increase = 9149840 - 8863052 \\ = 286788 \\ \% \: increase = \frac{286788}{8863052} \times 100\% \\ = 3.24\%[/tex]

Answer:

=3.23577% increase

Step-by-step explanation:

1) subtract final value minus starting value

2) divide that amount by the absolute value of the starting value

3) multiply by 100 to get the percent increase

4) if the percentage bis negative, it means there was a decrease and not an increase

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