There are 36 inches in a yard. Write an expression for yards in x inches

Trent Carpenter

Trent Carpenter

Answered question

2021-02-21

There are 36 inches in a yard. Write an expression for yards in x inches

Answer & Explanation

Adnaan Franks

Adnaan Franks

Skilled2021-02-22Added 92 answers

When converting from a smaller unit to a larger unit, we need to divide and when converting from a larger unit to a smaller unit, we need to multiply.
If 36 inches = 1 yard, then the number of yards is equal to the number of inches divided by 36 since we are converting from a smaller unit of inches to a larger unit of yards.
If x is the number of inches, we would then get x36 as the expression for the number of yards in x inches.

Eliza Beth13

Eliza Beth13

Skilled2023-05-28Added 130 answers

To solve the problem, we can use the fact that there are 36 inches in a yard. We need to write an expression that represents the number of yards in terms of a given number of inches, denoted as 'x'.
Let's denote the number of yards as 'y'. We can set up a proportion based on the conversion factor:
36inches1yard=xinchesyyards
To find the expression for yards in terms of inches, we need to isolate 'y'. Cross-multiplying the equation gives us:
36inches·yyards=1yard·xinches
Simplifying the equation further, we have:
36y=x
To express 'y' in terms of 'x', we divide both sides of the equation by 36:
y=x36
Therefore, the expression for yards in terms of inches is:
y=x36
Mr Solver

Mr Solver

Skilled2023-05-28Added 147 answers

Result:
x36
Solution:
The proportionality equation can be expressed as:
xy=36 inches1 yard
To find the expression for yards in x inches, we need to isolate y on one side of the equation. We can do this by multiplying both sides of the equation by 1 yard36 inches, which is the reciprocal of the right-hand side:
x×1 yard36 inches=y
Simplifying the expression, we get:
y=x36
Thus, the expression for yards in x inches is x36.
Nick Camelot

Nick Camelot

Skilled2023-05-28Added 164 answers

The expression for yards in x inches can be written as follows:
y=x36
In this expression, y represents the number of yards in x inches. We divide x by 36 because there are 36 inches in a yard.

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