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3 years ago

Question 1)Solve 8x + 3 = 3x + 18

Mathematics

2 answers:

Dafna1 [17]3 years ago

8 0

Step-by-step explanation:

8x-3x = 18-3(like terms)

or,5x = 15

or,x=15/5

or,x=3

Naddik [55]3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

in order to solve for the value of x in the expression

8x + 3 = 3x + 18

we are going to simply combine the like terms then later evaluate for the value of x

8x + 3 = 3x + 18

8x + 3 - 3x = 18

8x -3x = 18 -3

5x = 15

divide both sides by the coefficient of x

5x/5 = 15/5

x = 3

therefore the value of x in the expression

8x + 3 = 3x + 18 is equals to 3

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6 0

3 years ago

The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

Solve x + 10 = 3x + 4 *

Mashutka [201]

Answer:

x= 3 hope it helps thanks

4 0

3 years ago

Read 2 more answers

Helppppppppppppppppppppppppp

kumpel [21]

Answer:
x = 10

Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)

Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)

This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions

Hope this helps :)

5 0

3 years ago

- ignore this :) thank you v much.

yan [13]

Answer:

i dont know what you mean by ignore this and it looks like you got it

Step-by-step explanation:

8 0

3 years ago

Question 1)Solve 8x + 3 = 3x + 18​

Question 1)Solve 8x + 3 = 3x + 18