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
olga2289 [7]
3 years ago
7

Simplify the expression. 42y 2 3 14y 3 5

Mathematics
1 answer:
joja [24]3 years ago
3 0
5/y in fraction hope this helps you.
You might be interested in
Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he s
Afina-wow [57]

Step-by-step explanation:

x + y = 985

2.95x + 9.95y = 7343.75

-2.95x - 2.95y = -2905.75

7y = 4438

y= 634 steak sandwiches

x + 634 = 985

x = 351 hot dogs

7 0
3 years ago
Read 2 more answers
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
A group of 5 painters takes 21 hours to paint a house. How long would it take a group of 7 painters to paint the same house?
VladimirAG [237]

Answer:

29.4

Step-by-step explanation:

if 5  painters takes 21 hours that makes it 4.5 per person so multiply that by 7 and there you go!

5 0
3 years ago
Read 2 more answers
Find the image of O(–2, –1) after two reflections, first across the line y = –5, and then across the line x = 1.
PtichkaEL [24]
The answer is (4,-9). I just took the quiz.
3 0
2 years ago
Read 2 more answers
Solve.<br> <img src="https://tex.z-dn.net/?f=2%205%2F6%20%2B%20%28-1%204%2F12%29%20%3D" id="TexFormula1" title="2 5/6 + (-1 4/12
Vladimir79 [104]

Answer:

3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the maximum product of two numbers whose sum is 13​? what numbers yield this​ product?
    5·1 answer
  • Can someone please solve this problem?Quick!
    13·1 answer
  • PLZ ANSWER QUICK!!
    5·1 answer
  • What is the area of the triangle below?
    11·1 answer
  • In what ways is it useful to develop an algorithm for adding and subtracting rational numbers?
    13·2 answers
  • How do you do this math problem??<br><br><br> BRAINLEST for anyone who helps and explains!!
    13·1 answer
  • How do you write 80% as a decimal?
    15·2 answers
  • Please help me with this question
    7·1 answer
  • HELP ME PLEASE ANYONE FOR 20 POINTS
    11·2 answers
  • Please assist with this question!!!!!!!!!! No links or your account will be banned
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!