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3 years ago

Bens living room is a rectangle measuring 9 yards by 150 inches. By how many feet does the length of the room exceed the width?

Mathematics

1 answer:

defon3 years ago

7 0

Answer:

14.5 ft or 14 1/2 ft

Step-by-step explanation:

36in= 1 yard

9x36= 324in (I'm guessing this is the length)

324in (length) -150in (width)= 174in

12 in= 1 ft

174/12= 14 ft 6 in

6 inches is half a foot

14.5 ft or 14 1/2 ft

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3 years ago

Which equation can be used to solve ? HELPPP

cluponka [151]

Option D:

$\left[\begin{array}{l}x_{1} \\x_{2}\end{array}\right]=\left[\begin{array}{cc}0.5 & -3 \\0 & 1\end{array}\right]\left[\begin{array}{c}2 \\-3\end{array}\right]$

Solution:

Given equation:

$\left[\begin{array}{ll}2 & 6 \\0 & 1\end{array}\right]\left[\begin{array}{l}x_{1} \\x_{2}\end{array}\right]=\left[\begin{array}{l}2 \\-3\end{array}\right]$

where

$A=\left[\begin{array}{ll}2 & 6 \\0 & 1\end{array}\right]$ , $X=\left[\begin{array}{l}x_{1} \\x_{2}\end{array}\right]$ , $B =\left[\begin{array}{l}2 \\-3\end{array}\right]$

This is in the form of AX = B.

To solve this equation.

Multiply by $A^{-1}$ on both sides.

$A^{-1}AX=A^{-1}B$

$X=A^{-1} B$

To find $A^{-1}$ using matrix formula:

$$\left[\begin{array}{ll}a & b \\c & d\end{array}\right]^{-1}=\frac{1}{a d-b c}\left[\begin{array}{cc}d & -b \\-c & a\end{array}\right]$

$$\left[\begin{array}{ll}2 & 6 \\0 & 1\end{array}\right]^{-1}=\frac{1}{2\times1- 6\times0}\left[\begin{array}{cc}1 & -6 \\0 & 2\end{array}\right]$

$$=\frac{1}{2}\left[\begin{array}{cc}1 & -6 \\0 & 2\end{array}\right]$

Multiply $\frac{1}{2}$ into inside the matrix.

$$=\left[\begin{array}{cc}\frac{1}{2} & \frac{-6}{2} \\\frac{0}{2} & \frac{2}{2} \end{array}\right]$

$=\left[\begin{array}{cc}0.5 & -3 \\0 & 1\end{array}\right]$

Substitute into $X=A^{-1} B$ , we get

$\left[\begin{array}{l}x_{1} \\x_{2}\end{array}\right]=\left[\begin{array}{cc}0.5 & -3 \\0 & 1\end{array}\right]\left[\begin{array}{c}2 \\-3\end{array}\right]$

This equation can be used to solve the given matrix.

Option D is the correct answer.

3 0

3 years ago

Sara had 34 out of 99 hits when she was at bat during the softball season. What was her batting average.

Juliette [100K]

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So your answer is 66.5

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4 years ago

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The value of 8 if it we're in the thousands place would be 8,000.

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4 years ago