Question

What is the equivalent expression to 7/5y What is the equivalent expression to 0.68y What is the equivalent expression to 3/5y What is the equivalent expression to 1.32y

Answer 1

Equivalent expressions involve re-writing expressions in different forms that carry the same value, such as turning fractions into decimals. For the provided terms, the equivalent expressions are 1.4y for 7/5y, 0.68y remains unchanged, 0.6y for 3/5y, and 1.32y remains unchanged.

Step-by-step explanation:

The equivalent expressions for the given terms can be found by observing the structure of the expressions and comparing them with similar expressions. Let's look at each of the provided expressions one by one.

• The expression 7/5y implies there is a fraction ⅔ (which is the same as 1.4) multiplied by the variable y. Therefore, the equivalent expression is 1.4y.
• To find the equivalent expression for 0.68y, we simply maintain it as is since it is already in decimal form multiplied by y.
• The expression 3/5y is equivalent to multiplying the decimal 0.6 by the variable y, giving us 0.6y as an equivalent expression.
• Similarly, the equivalent expression to 1.32y remains the same because it is already expressed as a decimal multiplied by y.

The goal with these transformations is to understand how fractions and decimals can represent the same values when combined with a variable, just as with units of measurement or relative frequency. This is an application of creating equivalent algebraic expressions, a basic concept in algebra.

Answer 2

Given:

The expressions are:

`(7)/(5)y`

`0.68y`

`(3)/(5)y`

`1.32y`

To find:

The equivalent expression to the given expressions.

Solution:

There can be more than one equivalent expressions to the given expression.

`(7)/(5)y=1.4y`

Therefore,
`1.4y` is equivalent to
`(7)/(5)y`.

`0.68y=(68)/(100)y`

`0.68y=(17)/(25)y`

Therefore,
`(17)/(25)y` is equivalent to
`0.68y`.

`(3)/(5)y=0.6y`

Therefore,
`0.6y` is equivalent to
`(3)/(5)y`.

`1.32y=(132)/(100)y`

`1.32y=(33)/(25)y`

Therefore,
`(33)/(25)y` is equivalent to
`1.32y`.