Express the ratio in its simplest form 1\4:1\8:1\16

Mathematics

1 answer:

HACTEHA [7]3 years ago

6 0

Answer:

4 : 2: 1

Step-by-step explanation:

$\frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1$

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What number is in between 375 and 400?

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3 years ago

A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]

zepelin [54]

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Reasons:

The matrix <em>A</em> is presented as follows;

$A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}$

Using the multiplication of a matrix and a scalar, we have;

$60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]$