Expert: Josh - 6/30/2007

Question
Translate each of the following into a mathematical expression.

1.   The variable x is 4 less than the variable y.

Answer:


Show your work:





2.   If the variable t is multiplied by 5, the result is equal to the variable R.

Answer:


Show your work:



3.   If 3 is subtracted from the product of the variables x and y, the result is equal to 4 times the variable z.

Answer:


Show your work:



4.   The quotient of the variable x with the variable y is 2 more than 0.7 of the variable z.   

Answer:


Answer
Hi Will,

1. "x is four less than y" is same as "y is four more than x"
We have y=x+4. You can write this as x=y-4.

2. First part (variable t multiplied by 5) gives 5t. Setting this equal to variable R, R=5t.

3. First form produce of variables x and y. Then, subtract 3 from it. This gives xy-3. If this is equal to 4 times z, xy-3=4z.

4. e.g., In the division 9/4 = 2.25, "9" is called the dividend, "4" is the divisor, "2" is the quotient and 1 is the remainder.

Quotient of x with y is translated to (x/y). If this is 2 more than 0.7*z, subtracting 2 from the former (viz., x/y) must be equivalent to 0.7*z.

(x/y) - 2 = 0.7*z