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Which expression is equivalent to
0.9+k-0.54 k ?

0.46 k+0.9

1.36 k

-0.64 k

1.9-0.54 k

Which expression is equivalent to $0.9+k-0.54 k$ ? $\newline$ $0.46 k+0.9$ $\newline$ $1.36 k$ $\newline$ $-0.64 k$ $\newline$ $1.9-0.54 k$

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Round mixed numbers

Full solution

Q. Which expression is equivalent to

0.9+k-0.54 k

?

\newline

0.46 k+0.9

\newline

1.36 k

\newline

-0.64 k

\newline

1.9-0.54 k

Combine Like Terms: Combine like terms by adding the coefficients of $k$ . We have $k$ and $-0.54k$ which are like terms. To combine them, we add their coefficients: $1$ (the coefficient of $k$ when it's not written is $1$ ) and $-0.54$ . Calculation: $1 + (-0.54) = 0.46$
Rewrite Expression: Write the expression with the combined like terms. $\newline$ Now that we have combined the coefficients of $k$ , we rewrite the expression with the new coefficient for $k$ . $\newline$ Expression: $0.9 + 0.46k$
Check Answer Choices: Check the answer choices to see which one matches the expression we found. $\newline$ We are looking for an expression that matches $0.9 + 0.46k$ . $\newline$ Checking the answer choices: $\newline$ - $0.46 k+0.9$ is the same as $0.9 + 0.46k$ (since addition is commutative). $\newline$ - $1.36 k$ does not match because the coefficient of $k$ is different. $\newline$ - $-0.64 k$ does not match because it does not have the constant term $0.9$ and the coefficient of $k$ is incorrect. $\newline$ - $1.9-0.54 k$ does not match because the constant term is different and the coefficient of $k$ is not combined correctly.

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