The school band is in charge of a new set of uniforms made with a new logo. A local

business charges $140 to set up the logo with the design and $0.25 in materials per

logo printed. The function C(x) = 140+0.25x / x

represents the average cost per logo if x

uniforms are printed by this business.

a. What is the average cost per uniform to get the logo printed on 25 uniforms?

b. What is the average cost per uniform to get the logo printed on 100 uniforms?

C. How many uniforms should be printed to have an average cost of $1 per logo?

d. What will happen to the price as the number of uniforms printed increases?

Answers

Answer 1

Answer:

a. [tex]C(25) = 146.25[/tex]

b. [tex]C(100) = 165[/tex]

c. [tex]x = 187[/tex]

d. Increment in number of uniform causes an increment in price

Step-by-step explanation:

Given

[tex]C(x) = 140 + 0.25x[/tex]

Solving (a)

[tex]x = 25[/tex]

This gives:

[tex]C(x) = 140 + 0.25x[/tex]

[tex]C(25) = 140 + 0.25 * 25[/tex]

[tex]C(25) = 140 + 6.25[/tex]

[tex]C(25) = 146.25[/tex]

Solving (b):

[tex]x = 100[/tex]

This gives:

[tex]C(x) = 140 + 0.25x[/tex]

[tex]C(100) = 140 + 0.25 * 100[/tex]

[tex]C(100) = 140 + 25[/tex]

[tex]C(100) = 165[/tex]

Solving (c):

Average cost = $1 per logo

For x logos,

Average cost = $1 * x

Average cost = $x

So, we have:

[tex]C(x) = 140 + 0.25x[/tex]

[tex]x = 140 + 0.25x[/tex]

Collect Like Terms

[tex]x - 0.25x = 140[/tex]

[tex]0.75x = 140[/tex]

Solve for x

[tex]x = 140/0.75[/tex]

[tex]x = 187[/tex] ---- Approximated

Solving (d): What happens when number uniform increases.

Notice that in (a) & (b).

x increases from 25 to 100

Price also increases from $146.25 to $165.

Hence:

Increment in number of uniform causes an increment in price


Related Questions

PLZZ ANSWER THE QUESTION ​

Answers

Answer:

c

Step-by-step explanation:

y = mx + b

”m” is the slope, so the slope is -2

”b” is the y - intercept, so the y - intercept is (0 , 1)

a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s​

Answers

Answer:

23.7m

Step-by-step explanation:

Given parameters:

       Time taken = 2.2s

     Acceleration due to gravity = 10m/s

Unknown:

Depth of the well  = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

        S = ut + [tex]\frac{1}{2}[/tex] gt²

    where S = depth of the well

                u = initial velocity

                t = time taken

               g = acceleration due to gravity

 Input the parameters and solve for S;

   Note initial velocity = 0;

     S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²

    S = 23.7m

identify the first term of the algebraic expression. Indicate whether the term is a variable or a constant term.
5y + 8b

Answers

Answer:

Someone text me on sc queenalyssa_05

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Anyone willing to answer this?

Answers

Answer:

1. perpendicular; the opposite?

2. Parallel; the slopes are the same?

Step-by-step explanation:

Just use Math

way

can someone help me i don’t get this at all !!!! OLEASEEE

Answers

Answer:

A

Step-by-step explanation:

not enough info

Does this set of ordered pairs represent a function? Why or why not? -1,5), (0, -3), (2, 7), (4,0), (7, 5)) A. No, because two of the y-values are the same. OB. Yes, because there are two xvalues that are the same. OC. Yes, because every xvalue corresponds to exactly one yvalue D. No, because one xvalue corresponds to two different values. ​

Answers

Answer:

C.

Step-by-step explanation:

All the x-values are different and go to one y-value.

Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value

What are ordered pairs in sets?

A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.

How do you determine if a set of ordered pairs are functions?

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

According to the question

Set of ordered pairs represent a function :

(-1,5), (0, -3), (2, 7), (4,0), (7, 5)

As we can observe that every point have different x value for there respective y ,

and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value

To know more about  ordered pairs in sets here:

https://brainly.com/question/12941484

#SPJ2

GIVING 75 POINTS


Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?


Part C ---- For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.



Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Answers

Answer:

This is my answer,

Step-by-step explanation:

The equation is y=2x, and the horizontal line will always be half of the vertical line (1:2). We can prove this by plugging in y or x. For example, if y is 12, 12=2x. X would equal six.

Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP I WILLL GIVE BRAINLIEST!!!!!!!!!

Answers

Answer:

it is already an equation

Step-by-step explanation:

Answer:

Already and equation!

Step-by-step explanation:

A particle travels along the x axis such that it’s position at time t is given by the function x(t)=2t+t. What is the average speed of this particle over the interval 2

Answers

The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.

Given that,

A particle travels along the x-axis such that its position at time t is given by,

Function; [tex]\rm x(t)=2t^2+t[/tex]

We have to find,

What is the average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10?

According to the question,

The position of the particle is given by,

[tex]\rm x(t)=2t^2+t[/tex]

The average speed of this particle is determined by differentiating the function with respect to x,

[tex]\rm \dfrac{dx}{dt} = \dfrac{d(2t^2+t)}{dx}\\\\\dfrac{dx}{dt} = 4t + 1 \\\\v(t) = 4t+1[/tex]

Then,

The average speed of the particle over interval 2 is,

[tex]\rm v(t) = 4t+1 \\\\v(2) = 4(2)+1\\\\v(2) = 8+1 \\\\v(2) = 9 \ meter \ per \ second[/tex]

And the average speed of the particle over interval 10 is,

[tex]\rm v(t) = 4t+1 \\\\v(10) = 4(10)+1\\\\v(10) = 40+1 \\\\v(10) = 41 \ meter \ per \ second[/tex]

Therefore,

The average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is,

[tex]\rm v(t) = v(10)-v(2)\\\\v(t) = 41-9\\\\v(t)= 32 \ meter \ per \ second[/tex]

Hence, The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.

For more details refer to the link given below.

https://brainly.com/question/2292357

Answer:

Very basically, the answer is 3

Step-by-step explanation:

Know this cause Edge 2023

I need 9 and 10 plzzzz

Find the value of the variable(s) in each figure. Explain your reasoning.
9.
10.

x - 10)
(2x - 15)
1042
(x + 55)

Answers

Answer:

9.

x-10 = 104

x = 104 + 10 = 114

10.

2x-15 = x + 55

2x - x = 55 +15

x = 70

Can someone please help me, ty!! (Will mark brainliest)

Answers

Answer:

im gonna say 4 if im wrong its my fault

According to the US Bureau of Labor statistics, the average weekly earning of a production worker in 1997 were $424.5. Suppose a labor researcher wants to test to determine whether this figure is still accurate today .The researcher randomly selected 54 production workers from across the United States and obtained a representative earning statement for one week from each. The resulting sample average is $432.69. Assuming population Standard deviation is 33.90. and a 5% level of significance, To determine whether the mean weekly earnings of the production worker have changed.

Required:
To determine whether the mean weekly earnings of the production worker have changed, what would be the value of test statistics?

Answers

Answer:

test statistic is 1.775

Step-by-step explanation:

Bar x = 432.69

Standard deviation sd = 33.90

N = 54 production workers

Null hypothesis:

H0: μ = 424.5

Alternate hypothesis

H1: μ not equal to 424.5

Test statistic

= 432.69-424.5/sd/√n

= 8.19/33.9/√54

= 8.19/33.9/7.348

8.19/4.6135

= 1.7752

This is the value of our test statistic

When we test this with level of significance 0.05

Critical value z = 1.96

So we conclude that we do not have enough evidence to reject null hypothesis so we accept null and say mean weekly earnings have not changed

Please answer this correctly without making mistakes

Answers

Answer:

the answser is 8%.

8% of the shape is blue

Which of the following ordered pairs is a solution to the graph below


(0,-4)

(-2,-6)

(8,0)

(-2,0)

Answers

Answer:

(-2, -6)

Step-by-step explanation:

Graphed is the system of inequalities

The solution of the system is the darker shaded area

Only one of the given points falls to same area:

(-2, -6)
Answer

graphed is a system of inequality .the solution of the system is the darker shaded area .

the one of the given point falls to same area ;

=> (-2,-6)

The required answer is (-2,-6)

The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.

Answers

Answer:

Domain=All Real Numbers Range=y>2

Step-by-step explanation:

Since the graph expands infinitely across the x axis it is all real numbers

Since the Y covers all the numbers above 2 it is y>2

whay is called when there is a difference between what one expects to happen and what actually happens
O metaphor
O symbolism
O personification
O irony​

Answers

Answer:

I do believe it is irony

10p+5=18p–6/2 what is the value of p?

Answers

Answer:

p = 1

Step-by-step explanation:

10p + 5 = 18p - 6/2

(given)

______________

10p + 5 = 18p - 6/2

+6/2 +6/2

(addition property of equality)

_______________________

10p + 8 = 18p

-10p -10p

(subtraction property of equality

_________________________

8 = 8p

÷8 ÷8

(division property of equality)

______________________

1 = p

(symmetric property of equality)

___

p = 1

Determine whether the ordered pair (coordinate) is a solution to the inequality.
2. 2x + 3y > -8,
(3,-6)

Answers

Answer:

The ordered pair is not a solution to the inequality.

Step-by-step explanation:

Given expression;

     Inequality :

         2x + 3y > -8

 

Ordered coordinate pair = (3, -6)

Solution:

If the ordered pair is a solution of the inequality, then it must be true that expression on the left -hand side is greater than -8;

So, the values we get on the right-hand side should be -7, -6 on and on.

  x  = 3 and y = -6

Input the parameters into the inequality;

     2(3) + 3(-6)

  = 6 - 18

   =  -12

   -12 is less than -8 and this is not correct for the expression.

The ordered pair is not a solution to the inequality.

If (2"x3mx83x90)/(15x162X912 # 48. then (m, n) is:
N​

Answers

Answer:

pet for sale

Step-by-step explanation:

soory pls mark me brainbelela

given: if you go to the water park then you will need to bring sunscreen
given : if you do not bring sunscreen then you will burn
what is the conclusion

Answers

Answer:

bring sunscreen to be safe from the sun

Whích table corresponds to the equation y = - 3x - 2

Answers

Answer:

Step-by-step explanation:

Angelina put 3,000 milliliters of water in a tub that alredy has 5 liters of water in it. Jack says the tub now has 35 liters of water in it Angelina says he is wrong carry out your steps explain who is correct and why helpppppp please

Answers

Answer:

jack is wrong

Step-by-step explanation:

Jack is wrong because 3,000 milliliters is equal to 3 liters.  If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.

what’s 3/4 of 2/5 ?

** I WILL MAKE UP BRAIN LIST OR SOMETHING

Answers

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

[tex] = \frac{3}{4} \times \frac{2}{5} [/tex]

[tex] = \frac{3 \times 2}{4 \times 5} [/tex]

[tex] = \frac{6}{20} [/tex]

[tex] = \frac{6 \div 2}{20 \div 2} [/tex]

[tex] = \frac{3}{10} [/tex]

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

This is a shorter explanation. It's better to use this if you are good at maths or in a higher level.

[tex] \frac{3}{4} \times \frac{2}{5} [/tex]

[tex] = \frac{6}{20} [/tex]

[tex] = \frac{3}{10} [/tex]

That's it.

Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).

Answers

Answer:

A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).

Step-by-step explanation:

If she starts (at zero) with $10, that will be the y-intercept (0, 10)

That eliminates one option

Now if she were to not complete her chore, her y value will go down by one

At the same time she does not complete one, her x value will go up

This is because the y value represents money earned while the x value is for chores not completed

That being said, the coordinates should look like this:

(1, 9)

(2, 8)

(3, 7)

(4, 6)

(5, 5)

(6, 4)

(7, 3)

(8, 2)

(9, 1)

(10, 0)

And so on..

(1, 9) matches with the first problem so that is the answer

Answer:

so the answer is a if you didnt understand the other one

Step-by-step explanation:

Choose all the lines that are parallel to the line pictured in the graph bellow.

Answers

Answer:

a. y = -½x

b. y = -½x + 3

c. 2y = -x - 4

e. x + 2y = 8

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.

First, find the slope of the line on the graph:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)

[tex] m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2} [/tex]

Slope of the line on the graph is -½.

Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.

Slope-intercept form is given as y = mx + b, where, m = slope.

Option 1: y = -½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 2: y = -½x + 3

The slope of this line is also -½, therefore it is parallel to the line on the graph.

Option 3: 2y = -x - 4

Rewrite in slope-intercept form.

y = -x/2 - 4/2

y = -½x - 2

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 4: y = 2x - 5.

The slope of this line is 2, therefore it is NOT parallel to the line on the graph.

Option 5: x + 2y = 8

Rewrite in slope-intercept form.

2y = 8 - x

y = 8/2 - x/2

y = 4 - ½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST

tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?

Answers

Answer:

First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500

Then do the percentage (7%) $23,625

I believe that 23625 is the answerrr

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer:

There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Step-by-step explanation:

In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.

The information provided are:

[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]

The hypothesis for the test can be defined as follows:

H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.

Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 [tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]

   [tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]

Thus, the test statistic value is -2.43.

Compute the p-value of the test as follows:

 [tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]

*Use a t-table.

Thus, the p-value of the test is 0.0188.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.0188 > α = 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Pls help it’s due todY

Answers

HAHA it was due yesterday! Hopefully you can still use my help *muffles cry laugh* answer is 2 tell me if im wrong bc im not 100% sure on this one. plz mark me brainliest, give me 5 stars, and thank meeee

Caleb earns $2 for each package delivery he makes in addition to $65 per day. He wants to earn more than $87 each day. Use the inequality 2+65≥87 to determine how many packages, p, Caleb must deliver each day. are made of living cells?

Answers

Answer:

Caleb must deliver at least 11 packages a day

P=11

Express 610.47 in unit form.

Answers

Answer:

6 hundreds

1 tens

0 ones

4 tenths

7 hundredths

Other Questions
Scientists core a Redwood tree in the California Redwood forest. The core of this particular tree has 1115 rings. How old is the tree in years? will give brainlliestWhich noble gas is closest to sulfur, S, on the periodic table? What has to happen for a sulfur atom in order to have an electron arrangement similar to the nearest noble gas? Monetary policy refers to the actions a government takes to control the __________ and achieve __________. Which tool of monetary policy allows the Federal Reserve to increase themoney supply?A. Increasing the discount rate on short-term loansB. Selling treasury securities on the open marketC. Reducing the reserve requirement on banksD. Raising interest on reserves paid to banks Please help me I am not good a math please someone help quick Externalities are a. unintended side-effects. b. always positive, never negative. c. an inevitable by-product of social responsibility. d. a blessing in disguise in inflationary times. what is the connection between Kathryn and Jamie? Line AB is 14 inches long. What is the approximate area of the circle? 615.44 inches 21.98 inches 153.86 inches 43.96 inches A world-class sprinter can burst out of the blocks to essentially top speed (of about 11.5 m/s) in the first 2.6 s of the race. How much acceleration does this sprinter have during this time? Which word best describes the element in box number 2?a Brittleb. Gas Semiconductord. Shiny NEED HELP ASAPP !!! Describe the quality of American Indian reservations and the rations and annuities provided. Did the US government meet its promises regarding rations and annuities? Which part of the obligation of a U.S. citizen help defend the nation? Giraffes are herbivores that initially had shorter necks. They are found in grasslands and areas where trees grow tall. To feed on leaves from tall trees, giraffes had to stretch their necks. This behavior paved the way for of giraffes with longer necks. A giraffes long neck is a adaptation. Explain the two differing opinions about laws that ban the wearing of baggy pants in public. What details did you find that support these opinions? Which side do you agree with? Explain why. What is ionization energy? The discharge of chromate ions (CrO42-) to sewers or natural waters is of concern because of both its ecological impacts and its effects on human health if the receiving water is later used as a drinking water source. One way in which chromate can be removed from solution is by its reaction with ferrous ions (Fe2+) to form a mixture of chromic hydroxide and ferric hydroxide solids [Cr(OH)3(s) and Fe(OH)3(s), respectively], which can then be filtered out of the water. The overall reaction can be represented as CrO42- + 3 Fe2+ + 8 H2O --> Cr(OH)3(s) + 3 Fe(OH)3(s) + 4 H+How much particulate matter would be generated daily by this process at a facility that treats 60 m3/h of a waste stream containing 4.0 mg/L Cr, if the treatment reduces the Cr concentration enough to meet a discharge limit of 0.1 mg/L? A rocket releases a satellite into orbit around Earth, The satellite travels at 2000 m/s in 25 seconds. What is the acceleration? Notice what tells you each of these facts. Do you know the temperature by the feeling of the air on your skin, or by looking at a thermometer hanging on the wall? Do you know the season because you can see trees outside the window and you notice their leaves, or blossoms, or lack of leaves? If you didn't have a clock, could you guess what time it was from the quality of the light or other clues? What tells you what the weather is like? Write at least seven sentences that describe the clues or details you used in your Basic Report. (Just focus on the details here, and let the reader make his or her own conclusions.) Helpppppppppppppppppppppppp