What fraction is equivalent to 7/14

Mathematics

2 answers:

Rasek [7]4 years ago

4 0

1/2 because you divide 7 by 7 which is one and 14 by 7 which is 2 so its 1/2

faust18 [17]4 years ago

3 0

1/2, 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20, and so on ...

Hoped this Helped!

-Hayden

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Solve the matrix equation by using inverse matrices.

STALIN [3.7K]

Answer:

x=-7, y=2

Step-by-step explanation:

You are given the matrix equation

$\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right] \cdot \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-18\\13\end{array}\right]$

Find the inverse matrix for the matrix

$\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]$

1. The determinant is

$\left|\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]\right|=2\cdot 3-(-1)\cdot (-2)=6-2=4$

$a_{11}=2 \Rightarrow A_{11}=3\\ \\a_{12}=-2 \Rightarrow A_{12}=-(-1)=1\\ \\a_{21}=-1 \Rightarrow A_{21}=-(-2)=2\\ \\a_{22}=3 \Rightarrow A_{22}=2$

3. Inverse matrix is

$\dfrac{1}{4}\left[\begin{array}{cc}3&1\\2&2\end{array}\right]^T=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]$

So, the solution of the equation is

$\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]\cdot \left[\begin{array}{c}-18\\13\end{array}\right]=\\ \\=\dfrac{1}{4}\left[\begin{array}{cc}3\cdot(-18)+2\cdot 13\\1\cdot (-18)+2\cdot 13\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{c}-28\\8\end{array}\right]=\left[\begin{array}{c}-7\\2\end{array}\right]$

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3 years ago

57.2 divided by -10,000 Show your work

zhenek [66]

Answer:

- 174.825

Step-by-step explanation:

Change the divisor 57.2 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

-100000 ÷ 572 = -174.825

and therefore:

-10,000 ÷ 57.2 = -174.825

Both calculated to 3 decimal places.

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3 years ago

if 10 800 cm2 of material is available to make a box with a square base and an open top find the largest possible volume of the

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Let

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y-------> the height of the box