Can anyone help me please solving these maths problems, first time. Thanks.

3x would have to be 15/2.

Since we have that 5x+3x=5x+15/2, the only pieces that are different are the 3x and the 15/2. This gives us the equation

3x=15/2

If we were to go on and solve this equation, we would multiply by 2, giving us
6x=15

Then we would divide by 6:
6x/6=15/6
and x=2.5.

3 0

4 years ago

Which statements are true about x? Select three options

polet [3.4K]

The true statements about x are:

x ∈ B ∪ C

x ∈ B ∩ C

x ∈ A ∪ C

<h3>Further explanation</h3>

A set is a clearly defined collection of objects.

To declare a set can be done in various ways such as:

With words or the nature of membership

With set notation

By registering its members

With Venn diagrams

Multiplying set A x B is by pairing each member of set A with each member of set B.

<u>Example: </u>

Then

A x B = {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b)}

Union of set A and B ( A ∪ B ) is rewriting each member A and combined with each member B.

Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.

<u>Example: </u>

A ∪ B = {1, 2, 3, 4, 5}

A ∩ B = {3, 4}

Let us now tackle the problem!

To solve this problem, it is better to draw the Venn diagram as shown in the picture in the attachment.

Let :

A = { p , q , s , t }

B = { q , r , t , x }

C = { s , t , v , x }

$\texttt{ }$

$B \cup C = \{ r , q , t , v , \boxed{x} \}$ ✔

$B \cap C = \{ t , \boxed{x} \}$ ✔

$A \cup C = \{ p , q , s , t , v , \boxed{x} \}$ ✔

$A \cap C = \{ s , t \}$ ⤬

$A = \{ p , q , s , t \}$ ⤬

$\texttt{ }$

From the results above, it can be concluded that the correct statements are:

x ∈ B ∪ C

x ∈ B ∩ C

x ∈ A ∪ C

$\texttt{ }$

<h3>Learn more</h3>

Mean , Median and Mode : brainly.com/question/2689808
Centers and Variability : brainly.com/question/3792854
Subsets of Set : brainly.com/question/2000547

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Sets

Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode

5 0

3 years ago

Read 2 more answers

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that

Anna71 [15]

Answer:

The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

Step-by-step explanation:

Given that,

The volume of a right circular cone is 300 cubic inches

We need to find the volume of a right cylinder that has the same base and height as the cone.

Volume of a cone is given by :

$V=\dfrac{1}{3}\pi r^2h$

And volume of a cylinder is given by :

$V'=\pi r'^2 h'$

If the base and height of cone and cylinder are same, r=r' and h=h'

$\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V$

So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

7 0

3 years ago