1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
12

monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star

ts with a 10 gallon container(one gallon equivalent to 3785 cm3). part A: determine how many paper cups are needed to empty the entire 10 gallon cooler. Part B: if the conical cups are sold in packages of 50, how many packages are needed to be bought?
Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

\text{One gallon is equivalent to 3785 } cm^3

Therefore: \text{10 gallon= 3785X 10 =37850 } cm^3

Therefore, Volume of the lemonade Monica Started with is \text{37850 } cm^3

The diameter of the cup =8cm

Therefore, Radius =8/2 =4cm

Height of the Cup =11cm

Volume of a Cone=\frac{1}{3}\pi r^2 h

\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3

The number of cups needed to empty the 10 gallon cooler =37850÷184.31

=205.36

\approx 205 Cups

(b)If the Cups are sold in packages of 50

Number of Package to be bought =205 ÷ 50 =4.1

She would need to buy 5 packages.

You might be interested in
How do I do this? it doesn't make sense. ​
yuradex [85]
I think you subtitute de 34 by x not sure
4 0
3 years ago
A menu has three meat choices,
wolverine [178]

Answer:

18 ways

Step-by-step explanation:

Number of Meat choices = 3

Number of Vegetable choices = 3

Number of Desserts = 2

Number of ways dinner can be chosen :

Number of meat choices * Number of vegetable choices * number of desserts

3 * 3 * 2

= 18

Hence, dinner can be chosen in 18 different choices.

4 0
2 years ago
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calori
Viktor [21]

Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda.

7 0
3 years ago
Read 2 more answers
A dog kennel uses 90 lb of dog food per day. How many pounds are used in a year?
Mariulka [41]
32850 pounds are used in a year.
5 0
3 years ago
Read 2 more answers
Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x2 from (−1, 2) to (1, 2) (a) find a function f
Korvikt [17]
If there is some scalar function f(x,y) such that

\nabla f(x,y)=\mathbf f(x,y)=x^2\,\mathbf i+y^2\,\mathbf j

then we want to find f such that

\dfrac{\partial f}{\partial x}=x^2\implies f(x,y)=\dfrac{x^3}3+g(y)
\dfrac{\partial f}{\partial y}=y^2=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\dfrac{y^3}3+C
\implies f(x,y)=\dfrac{x^3}3+\dfrac{y^3}3+C

So the vector field \mathbf f(x,y) is conservative, which means the fundamental theorem applies; the line integral of \mathbf f along any path \mathcal C parameterized by some vector-valued function \mathbf r(t) over a\le t\le b is given by

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=a}^{t=b}\mathbf f(\mathbf r(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt=f(\mathbf r(b))-f(\mathbf r(a))

In this case,

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(1,2)-f(-1,2)=\dfrac23
5 0
3 years ago
Other questions:
  • 2m in verbal expression
    14·1 answer
  • Please help me if you give the right answer I will give brainlest thank you
    12·1 answer
  • Quest-Room ist die beste Unternehmung für Gruppen in Köln und liegt nur wenige Minuten vom Hauptbahnhof und dem Kölner Dom entfe
    7·1 answer
  • 74 points plsss help meee!!!!!
    15·2 answers
  • Any help would be appreciated
    6·1 answer
  • 9. The Brightline train travels 204 miles in 3 hours, moving at a constant
    12·1 answer
  • Is 11/8 a rational or irrational number ??
    11·2 answers
  • How can I do this. 0.025 as a percentage of 12.4. Rounded to two decimal places?
    7·1 answer
  • Write a letter to your friend in another school telling him or her about your plans for an excursion and inviting him or her to
    5·1 answer
  • The volume of a square pyramid is 50 inches. The length of the base of the pyramid is 5 inches. What is the height of the pyrami
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!