Answer :
Sure! Let's break down each part of the question and create expressions based on the descriptions provided:
a) The sum of
This prompts us to think of adding two or more numbers. However, the question does not specify which numbers to add. A general expression would be something like:
[tex]\[ \text{Sum example: } a + b \][/tex]
b) 145 decreased 56 and [tex]\( x \)[/tex] by [tex]\( x \)[/tex]
Here, you start with 145 and decrease it by 56 first, and then also decrease it by [tex]\( x \)[/tex]. The expression is:
[tex]\[ 145 - 56 - x \][/tex]
c) [tex]\( y \)[/tex] fewer than
This is about subtraction. To say "fewer than," you'd be subtracting from [tex]\( y \)[/tex]. However, the question does not specify how much fewer than. A hypothetical expression could be:
[tex]\[ y - n \][/tex]
where [tex]\( n \)[/tex] is some number specified later on.
d) The quotient of 978 [tex]\( y \)[/tex] and 120
The word "quotient" refers to division. Here, you'd multiply 978 by [tex]\( y \)[/tex] first, and then divide the result by 120. It looks like this:
[tex]\[ \frac{978 \times y}{120} \][/tex]
These are expressions based on the descriptions given in the question. Remember to replace any placeholder values like [tex]\( a \)[/tex], [tex]\( b \)[/tex], or [tex]\( n \)[/tex] with actual values if they are provided later on.
a) The sum of
This prompts us to think of adding two or more numbers. However, the question does not specify which numbers to add. A general expression would be something like:
[tex]\[ \text{Sum example: } a + b \][/tex]
b) 145 decreased 56 and [tex]\( x \)[/tex] by [tex]\( x \)[/tex]
Here, you start with 145 and decrease it by 56 first, and then also decrease it by [tex]\( x \)[/tex]. The expression is:
[tex]\[ 145 - 56 - x \][/tex]
c) [tex]\( y \)[/tex] fewer than
This is about subtraction. To say "fewer than," you'd be subtracting from [tex]\( y \)[/tex]. However, the question does not specify how much fewer than. A hypothetical expression could be:
[tex]\[ y - n \][/tex]
where [tex]\( n \)[/tex] is some number specified later on.
d) The quotient of 978 [tex]\( y \)[/tex] and 120
The word "quotient" refers to division. Here, you'd multiply 978 by [tex]\( y \)[/tex] first, and then divide the result by 120. It looks like this:
[tex]\[ \frac{978 \times y}{120} \][/tex]
These are expressions based on the descriptions given in the question. Remember to replace any placeholder values like [tex]\( a \)[/tex], [tex]\( b \)[/tex], or [tex]\( n \)[/tex] with actual values if they are provided later on.
