The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance, x, represe
2 answers:
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Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,
Given information
The given expression in the problem is,
Equivalent expression is the expression which is equal to the original equation but the way of representation is different.
The given equation is,
As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.
Check all the option,
- 1) The expression given in the option 1 is,
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.
- 2) The expression given in the option 2 is,
Solve it further,
The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.
- 3) The expression given in the option 3 is,
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.
- 4) The expression given in the option 4 is,
The expression of the option 4 is not equivalent to the expression given in the problem.
- 5) The expression given in the option 4 is,
The expression of the option 5 is not equivalent to the expression given in the problem.
Hence the equivalent expression of the given expression are,
Learn more about the equivalent expression here;
First solve the congruence . Euclid's algorithm shows
330 = 25 * 13 + 5
13 = 2 * 5 + 3
5 = 1 * 3 + 2
3 = 1 * 2 + 1
=> 1 = 127 * 13 - 5 * 330
=> 127 * 13 = 1 mod 330
so that is the inverse of 13 modulo 330. Then in the original congruence, multiplying both sides by 127 twice gives
Then any integer of the form is a solution to the congruence, where
is any integer.