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
Dahasolnce [82]
3 years ago
12

The difference of 2x and 15 is less than or equal to the sum of 4x and 17

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

x ≥ -32

Step-by-step explanation:

2x - 15 ≤ 4x + 17

2x - 15 - 2x -17 ≤ 4x + 17 - 2x -17

-32 ≤ 2x

x ≥ -32

You might be interested in
Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random an
belka [17]

Answer:

There are 4 questions to answer here and the answers are given below:

1. COMBINATION

2. SET 2  

3. {S2, S3, S4, S5}

4. { }  OR  ∅

Step-by-step explanation:

The key topics here are PERMUTATION & COMBINATION and SETS & VENN DIAGRAMS.

The assignment has 5 questions in all. The options for each question are listed below and separated by commas:

1. True, False

2. True, False

3. A, B, C, D

4. A, B, C, D

5. A, B, C, D

Mr. Montes derives his answers from a random answer generator; same way Amisha generated her answers by random selection.

<u>QUESTION 1</u>

If you want to find the odds that Amisha got at least 3/5 of the answers correctly, would you use a permutation or a combination?

<u>ANSWER TO QUESTION 1</u>

You would use a combination. Note that as much as 'permutation' is distinctly defined from 'combination', in many complex cases both are used to derive the solution. In this case though, a combination is used. For each of the 5 questions, there are a number of possible answers. Questions 1 and 2 have only <em>two possible answers</em> (also known as options) while questions 3, 4 and 5 have <em>four possible answers</em>/<em>options</em> to choose from. Amisha can only have one set of five answers; each to each question. So this is a combination! If you want to find the odds that Amisha got at least 3 of her 5 answers correct, you would use a combination of the various possible answers to check.

<u>QUESTION 2</u>

Find "Set 1 ∩ Set 2" and explain the notation in the sentence.

<u>ANSWER TO QUESTION 2</u>

First list out relevant information:

- The correct answers to questions 3, 4 and 5 are respectively C, B, A

- The universal set consists of five students: S1, S2, S3, S4, S5 hence

Ц = {S1, S2, S3, S4, S5}

Next, enlist the elements of each defined set

Set 1: {S1, S2, S3, S4, S5}     Set 2: {S2, S3, S4}     Set 3: {S4, S5}

Note: Set 1 is equal to the universal set.

Now this notation "∩" means "intersect". It requires an action - checking out which elements in one set also appear in a second set and then bringing those elements to form a new set.

In the case of this question, we're to find Set 1 intersect Set 2. The elements present in Set 1 and also present in Set 2 are {S2, S3, S4}.

If you look closely, you'll observe that these are the same elements in Set 2! This brings to remembrance, one of the laws of sets:

The intersect of any subset and the universal set (recall that Set 1 happens to be equal to or have the same elements as the universal set) is equal to that subset.

So the answer to question 2 is

Set 1 ∩ Set 2 = Set 2

<u>QUESTION 3</u>

Find "Set 2 ∪ Set 3" and explain the notation in the sentence.

<u>ANSWER TO QUESTION 3</u>

The notation ∪ represents "union". This is the act of putting together the elements in two sets, to form a new set. In this activity, if an element appears in both sets, it is only written once in the new set, not twice.

So, Set 2 union Set 3 = {S2, S3, S4, S5}

As earlier stated, Student 4 isn't appearing twice in the new set.

<u>QUESTION 4</u>

Find the ' of Set 1 and explain the notation in this sentence.

<u>ANSWER TO QUESTION 4</u>

The symbol ' means "complement of a set". Finding the complement of a set is like subtracting the elements of that set from the universal set.

Since Set 1 contains the same elements as the universal set, subtracting Set 1 from the universal set will give you nothing. In this case, the complement of Set 1 is a null set!

Set 1 ' Ц = { }  or  ∅

where the empty bracket symbol and the slashed zero symbol represent null set.

Kudos!

3 0
3 years ago
Please I need help asap
andrey2020 [161]

Answer:

Option D

Step-by-step explanation:

\frac{2}{3}x=\frac{12}{5}

x=(\frac{12}{5} )(\frac{3}{2} )=\frac{36}{10} =\frac{18}{5} =3\frac{3}{5}

Hope this helps

6 0
2 years ago
Amy tutors math. For each hour that she tutors, she earns dollars.
skelet666 [1.2K]

The equation to find Amy's earning after tutoring for 15 hours is 300 dollars.

<h3>How to find an equation?</h3>

She earn 20 dollars for each hours she tutors.

E = earnings in dollars

H = hours of tutoring

The equation relating E and H are as follows:

E = 20H

Therefore, the equation to find Amy's earning after tutoring for 15 hours is as follows;

E = 20H

E = 20 × 15

E = 300 dollars

Therefore, Amy's tutoring for 15 hours is 300 dollars.

learn more on expression here: brainly.com/question/14492671

#SPJ1

5 0
1 year ago
An inscribed angle in a semicircle is always
DIA [1.3K]
An inscribed angle in a semicircle is always90 degrees
5 0
3 years ago
A standard sheet of paper in Europe is 21.0 cm wide and 29.7 cm long. Which has the greater area, the standard sheet of paper in
Tomtit [17]

Answer:

1 in = 2.54 cm

Part (a)

Answer: 8.268 in

Part (b)

Answer: 11.693 in

Part (c)

In SI units standard-sized paper is 21.0 cm by  29.7 cm, which is equivalent to 8.268 in by 11.693 in.

Answer: 8.268 in by 11.693 in.

Part (d)

U.S sized standard paper is 8.0 in by  11.0 in. Therefore the SI (internationally) sized paper is longer.

Part (e)

If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Competition for a new generation of computers is so intense that MicroTech has funded three separate design teams to create the
    8·1 answer
  • A. 28.8<br> B. 22.5<br> C. 27.2<br> D. 26.8
    7·1 answer
  • a fruit market sold 3,849 apples 3,498 oranges,and 3894 pears in one day.round each number to the nearest hundred.then order the
    13·1 answer
  • What does (6+2)to the 2nd power-4x3 equal
    13·2 answers
  • What is the slope of the line that represents this relationship?
    13·1 answer
  • Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences ab
    13·1 answer
  • What is the equation of the graph
    13·1 answer
  • Describe how to transform the graph of g(x)=ln(x) in the graph of f(x) = ln(-x)-9
    11·1 answer
  • There are 24 balls in gym class. The ratio of basketballs to soccer balls is 2:4. How many basketballs are there? How many socce
    15·1 answer
  • -2|7 - 9c| + 7 = -15<br><br>Solve for C
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!