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2 years ago

I will give brainiest. There is 1/ 3 gallon of water in a 3-gallon container. What fraction of the container is filled?

Mathematics

1 answer:

Nookie1986 [14]2 years ago

4 0

<h2>1 / 9</h2><h3>is the answer!</h3><h2>✔✔✔</h2>

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Explain how to multiply the following whole numbers 21 x 14

Lesechka [4]

Answer:

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

________

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

Step-by-step explanation:

Given

$21\:\times \:14$

Line up the numbers

$\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}$

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

Multiply the bold numbers: 1×4=4

$\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}$

Multiply the bold numbers: 2×4=8

$\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the top number by the bolded digit of the bottom number

$\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the bold numbers: 1×1=1

$\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}$

Multiply the bold numbers: 2×1=2

$\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}$

Add the rows to get the answer. For simplicity, fill in trailing zeros.

$\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}$

adding portion

$\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}$

Add the digits of the right-most column: 4+0=4

$\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}$

Add the digits of the right-most column: 8+1=9

$\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}$

Add the digits of the right-most column: 0+2=2

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

Therefore,

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

________

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

6 0

2 years ago

I have no idea what this is since I was absent and my teacher is didn’t it explain it to me, someone?

MatroZZZ [7]

Answer:

Step-by-step explanation:

4 0

2 years ago

2.35 ÷ (-1.5) (Round to the tenth)

Sidana [21]

-1.6 is your answer :))))

5 0

3 years ago

If it is a square is it a quadrilateral

Alina [70]

Yes a square is a type of quadrilateral ( quadrilateral means 'four sides').

5 0

2 years ago

Read 2 more answers

Please help me with this graph.

Komok [63]

Answer:

$y=\frac{1}{2} x-1$

Step-by-step explanation:

Please refer to the attached image.

Recall that in order to find the equation of a line parallel to another one, one needs to have the actual slope of the original line. This is because one will need to give the same slope in the equation for the new line.

Let's now try to extract the slope of the first line by looking at its graph. Recall as well that the formula for the slope uses information from two points on the plane $(x_1,y_1) ; (x_2,y_2)$ through which the line passes. We then try to find two points with easily identifiable coordinates. Please find two such points marked with red dots in the attached image. Their coordinates are also shown: (0,4) and (10,9).

Now let's use the formula for the slope (m) given two points $(x_1,y_1) ; (x_2,y_2)$

$m=\frac{y_2-y_1}{x_2-x_1}$

If we assign $(x_1,y_1)=(0,4)$ , and $(x_2,y_2)=(10,9)$ the slope becomes:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{9-4}{10-0}\\m=\frac{5}{10}\\m=\frac{1}{2}$

Then the parallel line we are going to build should also have slope "1/2"

Now, the next step is to create the equation of the new line using the slope m = 1/2 and also using the point (4,1) where it should be passing. So we use the "point-slope" formula to create the line:

$y-y_0=m\,(x-x_0)$

where $(x_0,y_0)$ is the coordinate pair of thepont we want the line to go through (in our case the point (4,1)). Then:

$y-y_0=m\,(x-x_0)\\\\y-1=\frac{1}{2} (x-4)\\y-1=\frac{1}{2} x-2\\y=\frac{1}{2} x-2+1\\y=\frac{1}{2} x-1$ which is the third option among your list of answers.

6 0

2 years ago