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jeka94
2 years ago
6

Which value is equivalent to: 1 1/2 divided by 4 1/2 x 1 1/3

Mathematics
1 answer:
Nostrana [21]2 years ago
6 0

Answer:

The answer is 4/9

Step-by-step explanation:

Hi. Here's the work.

First turn everything into an improper fraction.

1 \frac{1}{2} ÷ 4 \frac{1}{2} * 1 \frac{1}{3} = \frac{3}{2} ÷ \frac{9}{2} * \frac{4}{3}

To divide fractions we multiply by the flipped version of the fraction, or the reciprocal.

\frac{3}{2} ÷ \frac{9}{2} * \frac{4}{3} = \frac{3}{2} *\frac{2}{9} *\frac{4}{3}

Now we just multiply the fractions!

\frac{3 * 2 * 4}{2 * 9 * 3} = \frac{4}{9}

The answer is therefore 4/9. Please mark brainliest if possible and i hope you get a good grade on your homework. ;)

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Find the common difference if the 8th term is 55 and the first term is 13
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Step-by-step explanation:

Equation

L = a + (n - 1)*d

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Solution

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3 years ago
Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
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Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

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