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
Anarel [89]
2 years ago
8

Nellie measured a hotel and made a scale drawing. A room in the hotel, which is 14 feet wide in real life, is 2 inches wide in t

he drawing. What is the scale of the drawing?
Mathematics
1 answer:
Natalka [10]2 years ago
4 0

Answer:16

Step-by-step explanation:

You might be interested in
I am building birdhouses for all of my students for an upcoming project. If I complete 2 1/2 birdhouses in 2/3 of an hour of wor
Stels [109]

Answer:

youC

Step-by-step explanation:

1

5 0
2 years ago
Let X be a set of size 20 and A CX be of size 10. (a) How many sets B are there that satisfy A Ç B Ç X? (b) How many sets B are
Svetlanka [38]

Answer:

(a) Number of sets B given that

  • A⊆B⊆C: 2¹⁰.  (That is: A is a subset of B, B is a subset of C. B might be equal to C)
  • A⊂B⊂C: 2¹⁰ - 2.  (That is: A is a proper subset of B, B is a proper subset of C. B≠C)

(b) Number of sets B given that set A and set B are disjoint, and that set B is a subset of set X: 2²⁰ - 2¹⁰.

Step-by-step explanation:

<h3>(a)</h3>

Let x_1, x_2, \cdots, x_{20} denote the 20 elements of set X.

Let x_1, x_2, \cdots, x_{10} denote elements of set X that are also part of set A.

For set A to be a subset of set B, each element in set A must also be present in set B. In other words, set B should also contain x_1, x_2, \cdots, x_{10}.

For set B to be a subset of set C, all elements of set B also need to be in set C. In other words, all the elements of set B should come from x_1, x_2, \cdots, x_{20}.

\begin{array}{c|cccccccc}\text{Members of X} & x_1 & x_2 & \cdots & x_{10} & x_{11} & \cdots & x_{20}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set A?} & \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{No} & \cdots & \text{No}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set B?}&  \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{Maybe} & \cdots & \text{Maybe}\end{array}.

For each element that might be in set B, there are two possibilities: either the element is in set B or it is not in set B. There are ten such elements. There are thus 2^{10} = 1024 possibilities for set B.

In case the question connected set A and B, and set B and C using the symbol ⊂ (proper subset of) instead of ⊆, A ≠ B and B ≠ C. Two possibilities will need to be eliminated: B contains all ten "maybe" elements or B contains none of the ten "maybe" elements. That leaves 2^{10} -2 = 1024 - 2 = 1022 possibilities.

<h3>(b)</h3>

Set A and set B are disjoint if none of the elements in set A are also in set B, and none of the elements in set B are in set A.

Start by considering the case when set A and set B are indeed disjoint.

\begin{array}{c|cccccccc}\text{Members of X} & x_1 & x_2 & \cdots & x_{10} & x_{11} & \cdots & x_{20}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set A?} & \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{No} & \cdots & \text{No}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set B?}&  \text{No}&\text{No}&\cdots &\text{No}& \text{Maybe} & \cdots & \text{Maybe}\end{array}.

Set B might be an empty set. Once again, for each element that might be in set B, there are two possibilities: either the element is in set B or it is not in set B. There are ten such elements. There are thus 2^{10} = 1024 possibilities for a set B that is disjoint with set A.

There are 20 elements in X so that's 2^{20} = 1048576 possibilities for B ⊆ X if there's no restriction on B. However, since B cannot be disjoint with set A, there's only 2^{20} - 2^{10} possibilities left.

5 0
2 years ago
Which input value produces the sane output value for the two functions on the gragh f(x)=-2/3x+1 g(x)=1/3x-2
zimovet [89]

Answer:

X=3

Step-by-step explanation:

We have two linear functions which intersect at a point. This point is shown in the attached graph. Linear functions are lines which are made of points that satisfy the function or relationship.  This means at the intersection, this point (3,-1), both functions have the same values. An input of x=3 produces y=-1 in both functions.


5 0
3 years ago
Help please easy math question
Rus_ich [418]

Answer:

4.8m

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A number divided by -3 is -5 what is the number
olga55 [171]

Answer:

+15

Step-by-step explanation:

Let No be x

X÷-(3)=-5

X=+15

Law (-ve times -ve=+ve)

6 0
3 years ago
Other questions:
  • Find the y-intercept of each exponential function and order the functions from least to greatest y-intercept. MATCHING IN ORDER
    11·2 answers
  • What is the midpoint of 0.01 and 0.02
    8·2 answers
  • If a rectangle measures 8 feet on the short side and 9.8 feet on the kind side what is the area of the rectangle in square feet
    10·2 answers
  • Help me with this one please!!!!!!!!
    14·2 answers
  • If you when your mom went to the park and there were two dogs one dog went to the owner how many dogs are at the dog park
    15·2 answers
  • Jaidee paid $2 for a fruit drink. She now has $19. With how much money did she start?
    7·2 answers
  • GIVING OUT BRAINLIST QUICK! NUMBER 6
    13·1 answer
  • The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviati
    9·1 answer
  • 3 + 3 = 6<br> 6 + 4 = 12<br> 7 + 2 = 14<br> 8 + 5 = 16<br> 5 + 3 = ?<br> what is the question mark
    14·2 answers
  • Hi how your day going if it good and you have time then help me please
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!