Questions: y=mx+b xz/(x270/400)=

y=mx+b
xz/(x270/400)=
Transcript text: \[ y=m x+b \] \[ \frac{x z}{\frac{x 270}{400}}= \]
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Solution

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Solution Steps

Step 1: Simplify the Expression

We start with the expression

\[ \frac{x z}{\frac{x \cdot 270}{400}}. \]

Step 2: Multiply by the Reciprocal

To simplify the fraction, we multiply by the reciprocal of the denominator:

\[ \frac{x z}{\frac{x \cdot 270}{400}} = x z \cdot \frac{400}{x \cdot 270}. \]

Step 3: Cancel Common Terms

Next, we can cancel \(x\) from the numerator and denominator (assuming \(x \neq 0\)):

\[ = z \cdot \frac{400}{270}. \]

Step 4: Simplify the Fraction

Now, we simplify the fraction \(\frac{400}{270}\):

\[ = z \cdot \frac{400 \div 10}{270 \div 10} = z \cdot \frac{40}{27}. \]

Thus, the final simplified expression is

\[ \frac{40z}{27}. \]

Final Answer

\(\boxed{\frac{40z}{27}}\)

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