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
nexus9112 [7]
3 years ago
8

A caterer is planning a large dinner party for 1001 guests. Each table must seat an equal number of​ guests, more than 1 guest a

nd fewer than 20. Determine the number of possible table sizes. If the caterers use 13-person ​tables, how many tables will they​ need?
-Jarvis
Mathematics
1 answer:
MArishka [77]3 years ago
5 0

Answer:

The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.

For tables that seat 7, the caterer would need 11*13 = 143 tables.

For tables that seat 11, the caterer would need 7*13 = 91 tables.

Step-by-step explanation:

You might be interested in
what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box
Marizza181 [45]

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\  r = radius \ and \ h = height

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15

Substitute all the values in the formula

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume  \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume  \ of \ cone=14130

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

Learn more about the volume of cone here;

brainly.com/question/3013784

#SPJ2

5 0
2 years ago
Read 2 more answers
Which is a limitation of using cellulose
Semmy [17]

Answer:

Step-by-step explanation:

The main limitation of using the cellulose is that it is obtained from plant cell and it cannot be used in abundant amount. Although the most abundant form of carbohydrate found is cellulose but we cannot extract it from the plants for using it

3 0
3 years ago
Read 2 more answers
Power (denoted by PPP) can be defined as a function of work (denoted by WWW) and time (denoted by ttt) using this formula: P=\df
Amanda [17]

Answer:

\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

Step-by-step explanation:

Power (denoted by P) can be defined as a function of work (denoted by W) and time (denoted by t) using this formula:

P=\dfrac{W}{t}

Unit of Work = \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2}

Unit for Time = s

Therefore, the Unit of Power

=$Unit for W \times \dfrac{1}{\text{Unit for time}}

=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2} \times \dfrac{1}{s} \\=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

An appropriate unit for power is: \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

3 0
2 years ago
In a certain Algebra 2 class of 30 students, 18 of them play basketball and 9 of them
marshall27 [118]

Probability that a student will play both is 7/30

Step-by-step explanation:

Total students = 30

No. of students who play basketball = 18

Probability that a student will play basketball = 18/30

= 3/5

No. of students who play baseball = 9

Probability that a student will play baseball = 9/30

= 3/10

No. of students who play neither sport = 10

Probability that a student will play neither sport = 10/30

= 1/3

To find :

Probability that a student will play both = p(student will play both)

No.of students who play sport = 30 - 10

= 20

Out of 20 students 18 play basketball and 9 play baseball.

So, some students play both the sports.

No. of students who play both sports = 18 + 9 - 20

= 7

p(student will play both) = 7/30

Probability that a student will play both is 7/30

3 0
3 years ago
What is the domain of g(x)=1-2x^2
SpyIntel [72]
The domain of this expression is all real numbers except where the expression is unidentified. In this case, there is no real number that makes this expression unidentified.
8 0
3 years ago
Read 2 more answers
Other questions:
  • 1. a. Is 3.2 - 5.7 positive, negative, or<br> zero?<br> (A. negative<br> B. zero<br> C. positive
    6·2 answers
  • 0.4 divided by -5/8 or -5/8xN=0.4 BUT LOOKING FOR N
    14·1 answer
  • What is another way to express 52+24
    5·2 answers
  • Solution to m^2- 36=0
    12·1 answer
  • Evaluate using <br> Definite integrals
    10·1 answer
  • question is in the picture 9 What is the solution set of 7? -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 X -7 -6 -5 -4 -3 -2 -1 0 1 2 3
    12·1 answer
  • Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
    10·1 answer
  • If sal can fill a case of water at the rate of 223 case/min how many cases can he fill in 35 minutes
    9·1 answer
  • Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?
    12·2 answers
  • What is the slope of the line?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!