The Mad Hatter is ordering cups from Teacups

Limited, for his tea party. The Tescups, Limited catalog

prices cups according to the number of cups ardered. For

orders of 20 or fewer cups, the price is $1.40 per cup plus

$12 shipping and handling on the order. For orders of

more than 20 cups, the price is $1.10 per cup plus $15

shipping and handling

a) Create a piece wise function to describe the

price of cups

b) How much will it cost the Mad Hatter if he orders

20 cups?

Answers

Answer 1

a) The piecewise function is:

[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]

[tex]C(n) = 15 + 1.1n, n > 20[/tex]

b) Applying the piecewise function, it is found that it will cost $40.

A piecewise function is a function that has different definitions based on the input.

Item a:

20 or fewer cups, fixed cost of $12 for shipping plus $1.40 per cup. Thus, the first definition of the function for the cost of n cups is:

[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]

For more than 20 cups, price of $1.1 per cup plus a shipping and handling fee of $15. Then:

[tex]C(n) = 15 + 1.1n, n > 20[/tex]

Then, the piece-wise function is:

[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]

[tex]C(n) = 15 + 1.1n, n > 20[/tex]

Item b:

The cost of 20 cups is C(20).It is the first definition, which is valid for [tex]n \leq 20[/tex].

Then:

[tex]C(20) = 12 + 1.4(20) = 12 + 28 = 40[/tex]

It will cost $40.

A similar problem is given at https://brainly.com/question/24815096


Related Questions

Write the sentence as an equation.
The sum of 24 and x is - 20.

Answers

Answer:

x+24 = -20

this is the equation form

Answer:

24 + x = -20

Step-by-step explanation:

"The sum" is simple addition, so stating that the "sum of 24 and x" is the same as :

24 + x

Seeing as they equal -20:

24 + x = -20

Hope this helps!

One of the following inequalities is graphed below in the
standard (x,y) coordinate plane. Which one? (Click on the
link to see the graph)

Answers

Answer:

NEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEED

THE LINK SORRY HOPE THIS HELPS


There were 45 runners to start a race. In the first half of the race,2/3 of them dropped out. How many runners finished the race?

Answers

45 / 3 = 15
15 x 2 = 30

So 30 runners dropped out and 15 runners finished the race
30 and 15

I’m to lazy to explain

A store is having a sale where all shoes are discounted by 25%. Diego has a coupon for 2% off of the regular price for one pair of shoes. The store first applies the reduced price. If Diego pays $24.38 for a pair of shoes, what was the original price before the sale and without the coupon?

Answers

Answer:

28.47  sorry if I am wrong

Step-by-step explanation:

I only need help with the circled ones

Answers

Answer:

9. ⅓

12. 1/12

15. 4/25

bye

Step-by-step explanation:

9. ⅔×½=⅓ ( the 2 in the numerator cancel out with the 2 in the denominator).

12. ⅓×¼=¹/(3×4) = ¹/12. (multiply the denominators 3 & 4)

15. ⁴/10×⅖= 4/25. (divide 2 in the numerator with the 10 in the denominator which gives the quoetiont 5) .

hope this helps you.

30 fortyths into a decimal​

Answers

Answer:

0.3

Step-by-step explanation:

Percent means 'per 100'. So, 30% means 30 per 100 or simply 30/100. If you divide 30 by 100, you get 0.3 (a decimal number). So, to convert from percent to decimal, simply divide by 100 and remove the '%' sign. There is a easy way to convert from percent to decimal: Just move the decimal point 2 places to the left.

Hope this helps :)

pls give brainliest :p

And let me know what you think of my pfp :0

10 and 4/5 as a decimal

Answers

Answer:

5.4

Step-by-step explanation:

Multiply 10x5 and add 4 to get 54/10. Divided 54 by 10 and get 5.4 as your decimal answer!

difference of 85 and 45

Answers

Answer:
The difference of 85 and 45 is 40

Part 1: Celebration! PLZ help 90 points
You and three friends will be going out to eat at your favorite restaurant!

Each of you will order three items of your choice. You will also need to leave a tip. If you split the bill evenly among all four of you, how much will each person need to contribute?

Locate a menu for your favorite restaurant and pick three items for yourself and each friend. Make sure all or some of the items differ for each person.
List the restaurant name, items, and prices in a table like the one below.
In the column labeled Subtotal, determine the cost of each person’s order.
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
In the column labeled Total Bill, determine the total of each person’s order, including the tip.
Restaurant name:

Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Your name
Friend #1
Friend #2
Friend #3
Part 2: Questions
Answer the following questions, showing all work:

What is the total cost of the entire bill (all four meals), including tip?


Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.


If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.

Answers

Answer:

Texas road house

15 dollars

Step-by-step explanation:

The question is in the picture

Answers

Answer:

y=2x

Step-by-step explanation:

As you can see in the picture, the y value is 2 times the x value.

simplify -6/3 ÷ 2/-9​

Answers

Answer:

[tex] \frac{ - 6}{3} \times \frac{ - 9}{2} = \frac{6 \times 9}{6} = 9[/tex]

[tex] \frac{ - 6}{3} \div \frac{2}{ - 9} \\ = \frac{6}{3} \div \frac{2}{9} \\ = \frac{6}{3} \times \frac{9}{2} \\ = 2 \times \frac{9}{2} \\ = 9[/tex]

what is the difference between a categorical and continuous variable?

Answers

Categorical- assigned to discrete categories
Continuous- can take any value in a range

3 1/2 divided by 50 1/4?

Answers

14/201, hope that helps
The correct answer is 14/201

Find the value of x.

Answers

Add all three angles and set them equal to 180.

180 = x + (x - 28) + (x + 28)

180 = 3x

x = 60

Which graph represents the rational function x^2-16/x^2-2x-8?

Answers

Answer:

8

Step-by-step explanation:

Answer:

C on edg 2022

Step-by-step explanation:

got 100%

helpppppppppppppppppppppppp

Answers

Answer:

The inequality is x/5 < 20, and 100 is in the box.

Step-by-step explanation:

x = the amount she spends in June.

So, since she spends an equal amount five times, the amount she spends each time is x/5.

She wants this to be less than 20.

So, x/5 < 20.

Solving for x by multiplying both sides of the equation by yields

x < 5 * 20

x < 100, so that 100 goes into the box.

This is my last question someone help and plz make sure it’s right will mark brainiest plz :)

Answers

Answer:

fort nite

Step-by-step explanation:

i dont know what brainiest means

arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence​

Answers

626828282828288w8282

$39.98 selling price and tax rate 4.5%

Answers

Answer:

Step-by-step explanation:

The marked price is 39.98

The tax is 4.5%

That means that the tax is added on to the marked price to get the selling price.

One way to do is is to multiply by the tax factor.

The tax factor is 1 + 4.5/100 = 1.045

So the Selling price = 39.98 * 1.045

Selling price = 41.78 rounded to 2 decimal places.

The more standard way of doing this is to multiply the tax by the marked price and add that on to the marked price to get the selling price.

39.98 * 4.5/100  = 1.7991

39.98

  1.7991        Add

41.7791

The difference comes in where you do the rounding. The second way to do this has no rounding. If you convert this to money, the answer will be 41.78, just as the first way's answer.

Solve: 2x+1= 2X - 1

A) No Solution

B) x = 0

C) Infinitely Many Solutions

Answers

Answer:

A) No Solution

Step-by-step explanation:

2x+1=2x-12x-2x=-1-10 = -2

Thus, it has no solution

the percentage of measurements that are below the 88th percentile is

Answers

The percentage of measurements which are below the 88th percentile could be expressed as 88%.

The percentile of a distribution gives the percentage of the total distribution below a certain percentage value.

The 25th Percentile refers to the percentage of values in the distribution below 25%

Similary, 88th percentile gives the values which are below 88% of the values in the distribution.

Therefore, percentage of measurement below the 88th percentile is 88%

Learn more :https://brainly.com/question/8165716

Solve for x.
х= 2
х = 5
х = 4
х= 10

Answers

Answer:

x=5

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) =  (segment piece) x (segment piece)

4*x = 10*2

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

Allison and Lindsey each measured their bedrooms for new carpeting. They found
that both rooms were square, with the length of Lindsey's room 3 feet longer than
Allison's. If Lindsey needed 225 square feet of carpeting, how many square feet of
carpeting did Allison need?

Answers

Answer:

Step-by-step explanation:

Let's assume that the length of a side of Allison's room as x

So, Lindsey's room = x + 3

If Lindsey's room needs 225 sq. feet of carpeting, then   x + 3 = [tex]\sqrt{225}[/tex]

So, x + 3 = 15

Therefore, x = 15 - 3 = 12 ( So, Allison's room has a side of length 12)

Therefore, the carpeting needed = 12 × 12 = 12² = 144 sq. feet

There's your answer!

Please help me solve this please

Answers

Answer: No solution

Explanation:

5x + 3x = 2(4x - 5) - 2

8x = 8x - 10 - 2

0 = -12 (False Statement)

Elena, Lin, and Noah all found the area of Triangle Q to be 14 but they reasoned about it differently, as shown in the diagrams below. Pick one of the three students and explain their way of thinking and why his or her answer is correct. Make sure you identify which student you are explaining.

Answers

Answer:

yes it is

Step-by-step explanation:

Find the value of x. If necessary, round to the nearest tenth.

Answers

Answer:

the answer is 7 i believe

Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much did she pay for the crackers?

Answers

Answer:

$10.36

Step-by-step explanation:

4•2.59=10.36

Multiply. Enter your answer in scientific notation.
(1.6 x 10^*5)(6.7 x 10^*18)

Answers

Step-by-step explanation:

(1.6 x 10^*5)(6.7 x 10^*18)

=10.72 × 10²³

=1.072×10²⁴

Hello there!

(1.6x10^5)(6.7x10^18)

1.072x10^24

Hope this helps you! :)

[tex](: GraceRosalia :) *^**^**^**^[/tex]

three friends are buying seashells at the gift shop on the beach. Melanie
buys 2 seashells for $0.80

Answers

Answer:

if you need to know the total, it would be $1.60 :)

I need help this is due tomorrow !

Answers

Answer:

b i think

Step-by-step explanation:

A
B
C
D
E

All the angles are congruent since they're all 90°, since p and q are parallel and there's a straight line going through the middle.
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