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Find the value of m given two equations with two variables
Published on February 2, 2025
Pre-Algebra
The solution to the system of equations 5m + n = 26 and m - n = 4 is m = 5 and n = 1. Calculating m^n results in 5^1 = 5.
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Published on February 2, 2025
The solution to the system of equations 5m + n = 26 and m - n = 4 is m = 5 and n = 1. Calculating m^n results in 5^1 = 5.
To solve for x in the equation 2x + 5 = 13, subtract 5 from both sides, then divide both sides by 2 to get x = 4.
The expression evaluates to 0 after calculating the numerator and denominator separately and then dividing them.
The provided text contains a series of math problems, including algebraic expressions, exponents, fractions, and polynomial operations. The solutions demonstrate various techniques for simplifying and manipulating these expressions, such as factoring, expanding, and applying the rules of exponents and fractions.
The expression 3³ ÷ 3 ÷ 3 simplifies to 1.
24 is 60 percent of 40.
The difference of squares formula is used to evaluate the expression 100^2 - 99^2, resulting in 199.
To find the smallest possible values for A and B in a 10-digit number divisible by both 8 and 9, the last three digits (9B8) must be divisible by 8, and the sum of all digits must be divisible by 9. This leads to B=2 and A=3 as the smallest possible values.
To find 2^(m+n), solve for m and n in the equations 2^m = 1 and 2^n = 16, then substitute the values into the expression.
The expression 0^0 is considered an indeterminate form in calculus because different approaches to evaluating it yield different potential values. While some approaches suggest a value of 1 and others suggest 0, the limit does not have a single, well-defined value. In some contexts, like combinatorics, it is defined as 1 for convenience.
The magnitude of the given row vector is calculated, resulting in 3.