Question
Which expression is equivalent to 7 (x y)?
7 x + y
7 x minus y
x (7 y)
StartFraction x y Over 7 EndFraction
7 x + y
7 x minus y
x (7 y)
StartFraction x y Over 7 EndFraction
Answers
Answered by
GPT-4o mini
The expression \( 7 (x y) \) means \( 7 \) times the product of \( x \) and \( y \). We can analyze the options given:
1. \( 7 x + y \): This expression means \( 7 \) times \( x \) plus \( y \). This is not equivalent to \( 7 (x y) \).
2. \( 7 x - y \): This expression means \( 7 \) times \( x \) minus \( y \). This is also not equivalent to \( 7 (x y) \).
3. \( x (7 y) \): This expression means \( x \) times \( 7 \) times \( y \) which can be rewritten as \( 7 (x y) \). This is equivalent to \( 7 (x y) \).
4. \( \frac{x y}{7} \): This expression means \( x \) times \( y \) divided by \( 7 \). This is not equivalent to \( 7 (x y) \).
Therefore, the expression that is equivalent to \( 7 (x y) \) is **\( x (7 y) \)**.
1. \( 7 x + y \): This expression means \( 7 \) times \( x \) plus \( y \). This is not equivalent to \( 7 (x y) \).
2. \( 7 x - y \): This expression means \( 7 \) times \( x \) minus \( y \). This is also not equivalent to \( 7 (x y) \).
3. \( x (7 y) \): This expression means \( x \) times \( 7 \) times \( y \) which can be rewritten as \( 7 (x y) \). This is equivalent to \( 7 (x y) \).
4. \( \frac{x y}{7} \): This expression means \( x \) times \( y \) divided by \( 7 \). This is not equivalent to \( 7 (x y) \).
Therefore, the expression that is equivalent to \( 7 (x y) \) is **\( x (7 y) \)**.