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3 years ago

Solve for x. 4 + 2x = 10

Mathematics

1 answer:

aniked [119]3 years ago

6 0

Answer:

The answer is 3

Hope this helps!

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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

PLEASE HELP. graph the set of points which model is most appropriate for the set (-6,4)(-4,0)(-3,-2)(-1,-7)

SOVA2 [1]

A linear equation would be the best fit, but the last point (-1,-7) kinda messes it up. If the -7 would have been a -6 the line y=-2x-8 would fit perfectly.

7 0

3 years ago

What number would you multiply (6x-y+4) by so that the result is an equivalent expression to (3x+9x)-(2y-8) Be sure to enter you

frozen [14]

Answer:

Step-by-step explana

(6x-y+4)*2= 12x -2y+8= (3x+9x)-(2y-8)

3 0

3 years ago

Read 2 more answers

Square root of 21 and square root of 62. must be given into 1 decimal place

blsea [12.9K]

Answer:

square root of 21 is 4.6

square root of 62 is 7.9

Step-by-step explanation:

square root of 21 is 4.6

square root of 62 is 7.9

8 0

3 years ago

When you form general ideas and rules based on your experiences and observations, you call that form of reasoning

xz_007 [3.2K]

Answer:

yes you do

Step-by-step explanation:

3 0

3 years ago