Question from my math test.

Aneli [31]

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is $\pi r^2 h$ . We can use the given values for radius and height to find the volume of the cylinder.

<h3>Finding the Volume</h3>

$V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16$

The volume of the cylinder is 144π or 452.16 units³.

4 0

1 year ago

What is the answer to 20x+7=4+6?

AnnyKZ [126]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Write an expression to find the total cost of buying b paperback books and m magazines if magazines cost $4.95 each and paperbac

xxTIMURxx [149]

Answer:

$Total\ cost=7.95b+4.95m$

Step-by-step explanation:

Paperback Books:

Number of books $=b$

Cost of 1 book $=\$7.95$

$Cost\ of\ all\ paperback\ books=cost\ of\ 1\ book\times number\ of\ books\\\\Cost\ of\ all\ paperback\ book=7.95\times b=7.95b$

Magazines:

Number of magazines $=m$

Cost of 1 magazine= $\$4.95$

$Cost\ of\ all\ magazine=cost\ of\ 1\ magazine\times number\ of\ magazine\\\\Cost\ of\ all\ magazines=4.95\times m=4.95m$

$Total\ Cost=Cost\ of\ paperback\ books+Cost\ of\ magazine\\Total\ Cost=7.95b+4.95m$

8 0

2 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

2 years ago

6c-8-2c=-16+c what’s the value of c

Artemon [7]

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

3c - 8 = -16

Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

3c = - 8

Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

7 0

2 years ago