Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month. Find an expression for the total monthly revenue Theodore and Sarah's business can generate if they change the selling price of their T-shirts. Let x represent the number of $1 increases in the price of the T-shirts.

Answers

Answer 1

Answer:

(205-9x) times15

Step-by-step explanation:

Answer 2

The expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.

The expression will be written as,

E = (205-9x)15.

Therefore, the expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

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Related Questions

PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!

When the original price and discounted prices are known, how can we find the percent markdown?

Answers

Step-by-step explanation:

The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.

(6x10^6) / (2x10^3) solve?

Answers

Answer:

3x^999000

Explantiotn

3x+2y=5
What is the y and x intercept and can i get a step by step explanation

Answers

Answer:

the slope is -3/2, and the y-intercept is 5/2.

Step-by-step explanation:

3x + 2y = 5

putting it into a y = mx+b form,

2y = -3x + 5

y = -3/2x + 5/2

the slope is -3/2, and the y-intercept is 5/2.

Answer:

y-intercept= 2.5

x- intercept= 1.666666666..... or 5/3

Step-by-step explanation:

1. Move variable to other side.

3x+2y= 5

-3x        -3x

2y= -3x+5

2. Divide each side by 2.

-3/ 2 = -1.5

5/2 = 2.5

y= 1.5x+2.5

y= mx+b

b= y-intercept

b=2.5

3. Replace y with 0 to solve for x intercept.

3x+ 2 x 0 = 5

3x= 5

5/3 = x

Find the formula for the nth term of these sequences:

(a) 2, 5, 10, 17, 26, …….

(b) 4, 10, 20, 34, 52, ………

Part of a geometric sequence is given below:

,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,

Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.

Second term is -1, and the fifth term is 64. Calculate:

(a) The common ratio (r)

(b) The value of the first term (a) or u₁

(c) The value of the 10th term.

I need it by today!! and please for the people who type to get points please dont do it with me

Answers

A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?

0.00002004 and 0.01203000 in scientific notation

Answers

Answer:

Below...

Step-by-step explanation:

Scientific Notation:

2.004 × 10-5

Scientific Notation:

1.203 × 10-2

[tex]-4 ( x + 1/16 )[/tex]

Answers

Answer:

-4x - 1/4

Step-by-step explanation:

-4(x + 1/16)

-4x - 1/4

3. The diameter of a cylindrical column is 60cm and
its height is 4.2m
The cost of making it is £67.50 per cubic metre.
What is the cost of making it?

Answers

Answer:

£80.33

Step-by-step explanation:

The formula for the Volume of a cylinder = πr²h

The diameter of a cylindrical column is 60cm and its height is 4.2m

Converting the diameter to meter

100 cm = 1 m

60 cm = x

Cross Multiply

100 × x = 60 × 1

x = 60/100

x = 0.6m

The diameter of the cylinder = 0.6m

Radius = Diameter/2

Radius = 0.6m/2

Radius = 0.3m

Volume of a cylinder = πr²h

= π × 0.3² × 4.2

= 1.18752 m²

Approximately = 1.19 m²

The cost of making it is £67.50 per cubic metre. What is the cost of making it?

The volume of the cylindrical column = 1.19 m²

Hence:

1m² = £67.50

1.19m² = x

Cross Multiply

x × 1m² = 1.19 m² × £67.50

x = 1.19 m² × £67.50/1 m²

x = £ 80.325

Approximately = £80.33

Therefore, the cost of making the cylindrical column = £80.33

What is 5884 diveded by 94?

Answers

Answer:

62.5957447

Step-by-step explanation:

= 62 R 56

= 62 56/94

= 62 28/47

Answer:

The answer is 62.6

Step-by-step explanation:

Brianna bought snacks for her team's practice. She bought a bag of

oranges for $2.63 and a 8-pack of juice bottles. The total cost before

tax was $16.07. Write and solve an equation which can be used to

determine x, how much each bottle of juice costs?

Answers

Answer:

$1.68

Step-by-step explanation:

The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68

Hope this help :)

Which of the equations are true identities? A. n(n –2)(n + 2) = n³ – 4n B. (x + 1)² – 2x + y² = x² + y² + 1 Choose 1 answer: Only A Only B Both A and B Neither A nor B​

Answers

Answer:

a+b

Step-by-step explanation:

both are true identities

20% of____ is 15 ????

Answers

Answer:

The Correct Answer is 3

Step-by-step explanation:

5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.

Answers

Answer:

it hard too

Step-by-step explanation:

it's hard also so

Answer:   180

an = a1 + (n - 1)d

a1 = 6 [1st term]

d = 4 [common difference]

n = 30 [30th term]

a30 = 6 + (30 - 1)*6 = 180

The image of the point (1, -3)(1,−3) under a translation is (-4, -2)(−4,−2). Find the coordinates of the image of the point (-3, 7)(−3,7) under the same translation.

Answers

Answer:

The new points under the translation are (-8,8) and (-8,8)

Step-by-step explanation:

The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw  

1,092 inches to yards

Answers

Answer:

Step-by-step explanation:

It would be 30.33 repeating.

Answer:

30.33 yards

Step-by-step explanation:

36 inches to a yard, so divide the length value in yards by 36.

1092 / 36 = 30.33 yds


A bank promises to pay 5.5% pa compound interest on
deposits of £2337 if saved for 3 years. How much will the
savings be worth at the end of the period mentioned? Write
your answer correct to 2 decimal places.
Answer:​

Answers

Answer:

£407.20

Step-by-step explanation:

Deposit = £2337Interest = 5.5% pa compound Time = 3 years

Savings:

2337*((1 + 5.5/100)^3 - 1) = 2337*((1.055)^3 - 1) =407.20

200 people buy plane tickets.
92 males buy tickets
30 of the males buy Business tickets
62 females buy Economy tickets
A total of 44 people buy Business tickets.
A total of 60 people buy Premium tickets.
How many males buy Premium tickets?
You must show all your working.

Answers

You can set up a table like this with all the information given and then solve for the blanks. The goal is to solve for male premium.

First, you can see that female business is 44-30=14. Then, you can see that female premium is 62+14+x=108, or x=32. So, because 32 females bought premium and there are 60 total premium, the number of male premium is 60-32=28 male premium tickets.

Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.

If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?

Answers

16.25 should be your answer

Answer:

3.25

Step-by-step explanation:

what is m

picture below!!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a pentagon is a polygon with 5 sides and 5 angles.

Given the polygon with 5 angles.

A pentagon is a polygon with 5 sides and 5 angles.

The angles of the given pentagon are:

∠P = (4x + 2)°

∠Q = 132°

∠R = (4x - 10)°

∠S = (5x - 11)°

∠T = 128°

We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.

Therefore,

∠P + ∠Q + ∠R + ∠S + ∠T = 540°

(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°

group similar elements

4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540

simplify

13x + 241 = 540

subtract 241 from both sides

13x + 241 - 241 = 540 - 241

13x = 299

divide both sides by 13

13x/13 = 299/13

x = 23

Thus, the value of x = 23

Therefore, the measure of angle ∠S is:

m∠S = (5x - 11)°

        = (5(23) - 11)°

        = (115 - 11)°

        = 104°

Thus,

m∠S = 104°

A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.

Answers

It would take her 4590 seconds to jog round the track 51 times

Speed is the ratio of the total distance travelled to total time taken. It is given by:

Speed = distance / time

Kat uses 40 seconds to jog 160 m, hence:

Speed = 160 m / 40 s = 4 m/s

The track length = 140 m + 2 * (π * 70) = 360 m

Time taken to jog round the track (t) is:

4 m/s = 360 m / t

t = 90 s

To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds

It would take her 4590 seconds to jog round the track 51 times

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The eggs of a certain insect hatched after heavy rain. The population of these insects can be modeled by the expression 192 times (2)^x-5.

Answers

Answer:

someone answer this pls

Step-by-step explanation:

Determine whether the triangles are similar.

Answers

similar it is just 3 times bigger but similar

Find the volume of a cylinder that has a diameter of 12 cm and a height of 5
cm. Use 3.14 for pi and round to the nearest tenth. *

Answers

Answer:

V≈565.5cm³ is the answer

The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).

Answers

Answer:

Its reflected over the y axis

Identify the y-intercept of the graph of the equation.

Answers

Answer:

3

Step-by-step explanation:

the y intercept is were x=0

Plz help I don’t understand how to do this problem

Answers

Answer:

a) 6b) 3t² - 17t + 28c) 3t² - 5t - 2

Step-by-step explanation:

Given function:

g(t) = 3t² - 5t + 4

a)  g(2)

g(2) = 3*2² - 5*2 + 4 =          3*4 - 10 + 4 =          12 - 6 =          6

b)  g(t - 2)

g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 =               3(t² - 4t + 4) - 5t + 10 + 4 =               3t² - 12t + 12 - 5t + 16 =               3t² - 17t + 28

c)  g(t) - g(2)

g(t) - g(2) = 3t² - 5t + 4 - 6 =                   3t² - 5t - 2

A pet store has 8 dogs, 12 cats, and 3 rabbits. The ratio 8:23 compares

Answers

Answer:

Step-by-step explanation:

the number of dogs to the number of total numbers.

8 dogs: 23 total animals.

means 8 of the 23 animals are dogs.

The ratio 8:23 represents 8 dogs out of total 23 animals.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Here, Total number of animals = 8 + 12 + 3

                                                   = 23 animals

Ratio given = 8 : 23

in which 8 represents the number of dogs and 23 represents total number of animals.

Thus, The ratio 8:23 represents 8 dogs out of total 23 animals.

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Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.

Answers

Answer: .10d+.25q<_ 4

Step-by-step explanation:

d= dimes and q = quarters

dimes are worth .10 and quarters are worth .25

The inequality for the given situation is

0.1d + 0.251 ≤ 4

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

10 dimes = 1 dollar

1 dime = 0.1 dollar

4 quarters = 1 dollar

1 quarter = 0.25 dollar

Now,

The maximum amount is $4.

So,

0.1d + 0.251 ≤ 4

Thus,

The inequality is 0.1d + 0.251 ≤ 4.

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what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9

Answers

y=9-x is slope-intercept form of that line, which means it has a slope of -1. Parallel lines have the same slope, so the slope of this new line will also be -1.

To find the line that goes through (5,1), we can use a blank equation y=mx+b. We know that m=-1, so we can use the given point to find b:

y=mx+b
Y=-x+b
1=-5+b
6=b

So the line would be y=-x+6.

Help me please if you get it right brainless for you ^-^

Answers

Answer:

C

Step-by-step explanation:

I read it.

Answer:

Step-by-step explanation:

To increase Readers' interest.

Explanation: The similarity in this excerpt is that, The sun's disappearance after sunset is similar to the way an object disappears near a black hole.

Solve for x
7x = 2
Give your answer as a fraction in its simplest form​

Answers

Answer:

2/7

Step-by-step explanation:

7x/7=2/7

Simplify:Cancel terms that are both the numerator and denominator

Solution: 2/7

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