A t-shirt company has initial costs of $1200 per month and it costs them $3.50 per shirt.
Let y represent the cost to run the company each month and x to represent the number of t-shirts
made each month.
a. Find the linear equation that models the costs for the t-shirt company.
b. Write a complete sentence explaining the y-intercept in this application.
c. Write a complete sentence explaining the meaning of the slope in this application.

Answers

Answer 1

Answer:

A. y=3.50x+1200

B. the y intercept in this calculation represents the initial cost before producing any t shirts.

C. The slope is representative of the cost per t shirt produced, where x in the equation is the amount of t shirts produced.

Step-by-step explanation:


Related Questions

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.

Answers

Answer:

Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

Step-by-step explanation:

We are given that a hypothesis test of the given claim is conducted. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand.

Let p = the proportion of Americans that have seen a UFO

So, Null Hypothesis, [tex]H_0[/tex] : p = [tex]\frac{2}{1000}[/tex] = 0.002

Alternate Hypothesis, [tex]H_A[/tex] : p < [tex]\frac{2}{1000}[/tex] ⇒ p < 0.002

Here, the null hypothesis states that the proportion of Americans that have seen a UFO is equal to 2 in a thousand.

On the other hand, the alternate hypothesis states that the proportion of Americans that have seen a UFO is less than 2 in a thousand.

Now, the type I error states that the probability of rejecting the null hypothesis given the fact that the null hypothesis is true. Or, it is the probability of rejecting a true hypothesis.

So, in this context, the type I error is to Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,-2) and (0,7).

Answers

Answer:

[tex]d = 9.2[/tex]

Step-by-step explanation:

Given

Points: (-2,-2) and (0,7)

Required

Determine the distance between them.

Distance is calculated as thus:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where:

[tex](x_1,y_1) = (-2,-2)[/tex]

[tex](x_2,y_2) = (0,7)[/tex]

So, we have:

[tex]d = \sqrt{(0 - (-2))^2 + (7 - (-2))^2}[/tex]

[tex]d = \sqrt{(0 +2)^2 + (7 +2)^2}[/tex]

[tex]d = \sqrt{2^2 + 9^2}[/tex]

[tex]d = \sqrt{4 + 81}[/tex]

[tex]d = \sqrt{85}[/tex]

[tex]d = 9.2[/tex] --- Approximated

The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?
Question 19 options:

A)

A = 4w2 – 3w

B)

A = w2 – 4w

C)

A = 3w2 – 4w

D)

A = 3w2 – w

Answers

Answer:

C) A = [tex]3w^{2} - 4w[/tex]

Step-by-step explanation:

First, read through what the question is asking.

Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )

Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).

So, the length is equal to:

l = 3w - 4

and the width is equal to:

w = w

The area of a rectangle is A = l * w

Let's plug in the values.

A = (3w - 4) * w

Now, simplify:

A = [tex]3w^{2} - 4w[/tex]

A = [tex]3w^{2} - 4w[/tex] is your final answer.

I hope this helps!

Most universities and colleges require an SAT score as one of the inputs to an admissions decision. Is it a good predictor of college success? Total SAT scores for 10 students are given, along with their college GPAs.

Answers

It is a good thing for some to have SAT score requirements in advance to see the progress they have made in school. On the other hand some students tend to get nervous on taking serious test like these so the outcome could be pretty bad and affecting their scores. Yes students could retake the test but some are unable to afford to retake it so that would be a major problem as well. In all SAT score requirements could be for good or turn out to be the worst for students.

There are 7 roses in a vase of 15 flowers. The rest are daisies. (a) What is the ratio of daisies to roses? (b) What is the ratio of all flowers in the vase to daisies?

Answers

Answer: 8 to 7 and 15 to 8

Step-by-step explanation:

We can conclude that -

The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8

What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that there are 7 roses in a vase of 15 flowers. The rest are daisies.

We have 7 roses in a vase of 15 flowers. The rest are daisies.

The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8

Therefore, we can conclude that -

The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8

To solve more questions on ratios, visit the link below -

https://brainly.com/question/1504221

#SPJ5

What is the solution of log (2 t + 4) = log (14 minus 3 t)?
A. -18
B. -2
C. 2
D. 10

Answers

I think it’s b but I’m not 100% sure you might want a second opinion

Answer:

-2

Step-by-step explanation:

What is the solution to 0.3(12x-16)= 0.4(12-3x) ?

Answers

x=2

i hope this helped!

PLEASE HELP !!!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed (2)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on
a car.

Answers

Answer:

$68y

Step-by-step explanation:

i just thought of it don't ask

Explain how the pattern of chairs in a movie theater can be described using translation.

Answers

Answer:

Step-by-step explanation:

reflection over the x-axis as well reflected over the Y axis and rotated 90° counterclockwise and clockwise

Answer:Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.

Step-by-step explanation: Just did it, that is the sample response.

14) Which of the following correctly shows the markings for a perpendicular bisector?

Answers

Answer:

ieieieissisnessjspsjdprnr

C is the correct answer

solve the equation below. -3 1/4x + 25=2 1/4x - 13 1/2

Answers

Answer:

x=7

Explanation:

-3 1/4x+25= 2 1/4x-13 1/2

25=5 1/2x-13 1/2

38 1/2=5 1/2x

7=x

In a casino in Atlantic City, there are two slot machines: one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20 % of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random and put a coin into it. Given that you lose that first bet estimate the probability that the machine you selected is the more generous of the two machines.
1. What do I know?
2. What do I want to find out?
3. What do I expect the answer to be?
4. How do I go from what I know to what I want to find?
5. Is the answer consistent with what I expected?

Answers

Answer:

probability = 0.5294

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes

Step-by-step explanation:

Given data:

Number of machines = 2

Assuming probability of machine 2 = 20% = 0.20

Assuming probability of machine 1 = 10%  = 0.10

since both machines have the ability to be generous i.e. pay 20% all the time

P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5

this is since there are only two machines

hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet

P ( Machine 1 is generous | first bet lost )

= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex]   = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]

= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex]  = 0.5294

This the probability that Machine 1 is generous after the player losses the first bet

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes

         

A recipe calls for 4c of flour. You have 20 c of flour. Let r represent the flour you when left after making the recipe. Is the remaining amount of flour 18c?

Answers

Answer:

r=16c

Step-by-step explanation

20-4=r

16=r

Evaluate the given expression at x= -4
-3x + 2x^2 + 2

Answers

Substitute x
-3(-4)+2(-4)²+2
12+2(16)+2
12+32+2
46

Estimate 65 to the nesrst tenth then locate 65 on a number line​

Answers

Estimate 65 to the nearest tenth is 70 I can’t identify where 70 is on a number line for you but it is on the right side of the line

So the answer is 70

And look on the right side of the number line

Answer:

70

Step-by-step explanation:

ok so first of all you have to see if the next number is 5 you can borrow and then draw on number line between 65 and 70 that there is your answer 70

[tex]simplify:\sqrt6r^{6}[/tex]

Answers

I’m gonna go get on the east coast to get on my way home and then go back home to

What is the domain of the following relation: Is this relation a function? Why or
why not?
R: {(1, 2), (2, 2), (-1, -2), (-3, 4)}?

Answers

Answer:

- domains: { 1,2,-1,-3 }

- it is a function

Step-by-step explanation:

it is a function Since there is one value of y for every value of x in the relation.

standard algorithm for 0.3 +0.82

Answers

Answer: 1.12

Step-by-step explanation: just add the numbers

your soccer team isn’t holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction, 1) a tablet costs $280 2) football tickets that cost $100 3) a gift card that cost $20 4) the cost of the food is $400. The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of food and prizes and food. Part a determine the cost per ticket. Part B build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build a function. Part C your soccer team needs to raise at least $300 more than the total cost of the expenses. What is the minimum number of tickets that must to be sold in order for your team to reach their goal? Use the mathematics to justify your response.

Answers

Answer:

i will not give you the exact answer but i will tell you how to get the answer you need to add all the costs of everything and divide it by the number of tickets and that is how you get profit

Step-by-step explanation:

Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)?

Answers

Answer:

hi answers b or a

Step-by-step explanation:

Find the common difference of the arithmetic sequence 4,2,0,...

Answers

Answer:

d=-2 is the difference

The common difference is -2. Don’t forget to put the negative sign when the sequence is descending.

The graph of h(x) = (x - 10| +6 is shown. On which
interval is this graph increasing?
O (-0,6)
O (-6, 10)
O (6,-)
O (10,0)

Answers

I believe the answer is A

394434
3,757
Hi My name is Ella and I need help

Answers

Answer:

39,443

-

3,757=

36, 3 1 1 4

The steps below show the work of a student used to calculate the number of yards in 804.5 meters.

(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

How can the error in the student's work be corrected? NEEDS SUBMITTING TODAY PLZ HELP ASAP

Answers

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

 1,609 meter    x        1 mile         =   2 miles

                               804.5 meters                                        

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles   x  1,760 yards   =   3,520 yards

                        1 mile

no need of step 3.  the conversion  below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)  

Answer:

how do ppl do this lol...

Step-by-step explanation:

Find the area of the polygon. Leave
your answer in exact form with proper units.

Answers

Answer:

15 square meters.

Hope this helped!

Compare the annual salary of a police/detective and an EMT (emergency medical technician). Based on the annual salaries, how much more will a police detective earn than an EMT over a thirty year period?

Answers

Answer:

its  B) $538,080.00

What’s the domain of (2x-9)/(3-x)

Answers

Answer:

The domain in interval notation would be (−∞,3)∪(3,∞) In set builder notation it would be {x|x≠3}

Write an equation for the line that passes through (4, 5) and (6, 7).
|

Answers

Answer:

The equation in slope-intercept form would be y=1x+1

Step-by-step explanation:

We can use the slope formula,

m=y2-y1/x2-x1

m=7-5/6-4

m=1

plug in m for y intercept or "b" and choose either points to sub. for the x & y

I am going to choose the (6,7)

7=6(1)+b

7-6=6-6+b

b=1

Our "b" is equal to 1 and just add in the points to the slope formula y=mx+b

What are the angles of rotations of an isosceles triangle ?

Answers

Answer:

360 degrees

Step-by-step explanation:

when we look at images of isosceles triangle it fits itself 1 time during a full rotation of 360 degrees


please help, and then u need factor the expression

Answers

Answer: Choice A

U = (x+3)

V = 7

===========================================

Explanation:

If we let U = (x+3), then the original expression turns into U^2 + 14U + 49

This factors to (U+7)^2 when using the perfect square factor rule which in general is (a+b)^2 = a^2+2ab+b^2

Comparing the last term 49 with b^2, we see that b^2 = 49 leads to b = 7

So that must mean V = 7 in order to have

(U+V)^2 = U^2+2UV+V^2 = U^2 + 14U + 49

be a true statement

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