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3 years ago

Is 3x+15=3(x+5) a infinite solution one solution or no solution

Mathematics

2 answers:

aniked [119]3 years ago

7 0

Answer:

Step-by-step explanation:it is infinite solution because 15 is equal to 15 if it was like 15=13 it is no solution

beks73 [17]3 years ago

6 0

In this question, you're trying to find the solution of the equation.

First, you have to solve.

Solve the equation:

3x + 15 = 3(x+5)

use the distributive property

3x + 15 = 3x + 15

subtract 3x from both sides

15 = 15

subtract 15 from both sides

0 = 0

Since the answer came out as 0 = 0, this means that there are infinite solutions.

Answer:

Infinite solutions

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Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instru

LiRa [457]

Answer:

11/19

Step-by-step explanation:

Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.

The probability of selecting a science instructor is 4/19

The probability of selecting a math instructor is 7/19

The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19

4 0

3 years ago

The sum of the area of 2 circles is 80pi square meters. Find the length of a radius of each circle if one of them is twice as lo

IgorC [24]

80p=pr^2+p(2r)^2
80p=pr^2+4pr^2
80=r^2+4r^2
80=5r^2
16=r^2
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Have a nice day, I hope this was helpful :D

8 0

3 years ago

Read 2 more answers

Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

Mrs.Hilt read 21 books.Each book had exactly 2,010 words in it. She sold five of her books for $4.95 each.How many words did Mrs

Serhud [2]

Find the words Mrs.hilt read
2010 x 21 = 42210 words
Find the money of 21 books

21 x 4.95 = $103.95

5 0

3 years ago

Why is the value of q?

Rudiy27

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

= 10 + 4

= 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$$\Rightarrow \frac{14}{q} =\frac{q}{4}$

Do cross multiplication.

$$\Rightarrow14\times 4 =q\times q$

$$\Rightarrow 56 =q^2$

Switch the sides.

$$\Rightarrow q^2 =56$

Taking square root on both sides.

$\Rightarrow q =2 \sqrt{14}$

The value of q is $2 \sqrt{14}$ .

8 0

3 years ago