Evaluate (3)/(2)+(-k)+(-2) where k=-(5)/(2).

Substitute value of k: First, let's substitute the value of k into the expression. (3/2) + (-k) + (-2) where k = -(5/2)Replace k in expression: Now, replace k with -(5/2) in the expression. (3/2) + -(-(5/2)) + (-2)Simplify double negative: Simplify the double negative by removing the extra negative sign in front of (5/2). (3/2) + (5/2) + (-2)Combine fractions: Combine the fractions (3/2) and (5/2). (3/2) + (5/2) = (3+5)/2 = 8/2Simplify fraction: Simplify the fraction 8/2. 8/2 = 4Add whole numbers: Now, add the whole number 4 to the negative whole number -2. 4 + (-2) = 4 - 2Perform subtraction: Perform the subtraction. 4 - 2 = 2

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Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. Evaluate

\frac{3}{2}+(-k)+(-2)

where

k=-\frac{5}{2}

Substitute value of k: First, let's substitute the value of $k$ into the expression. $\frac{3}{2} + (-k) + (-2)$ where $k = -\frac{5}{2}$
Replace $k$ in expression: Now, replace $k$ with $-\left(\frac{5}{2}\right)$ in the expression. $\left(\frac{3}{2}\right) + -\left(-\left(\frac{5}{2}\right)\right) + \left(-2\right)$
Simplify double negative: Simplify the double negative by removing the extra negative sign in front of $(\frac{5}{2})$ . $(\frac{3}{2}) + (\frac{5}{2}) + (-2)$
Combine fractions: Combine the fractions $(\frac{3}{2})$ and $(\frac{5}{2})$ . $\frac{3}{2} + \frac{5}{2} = \frac{3+5}{2} = \frac{8}{2}$
Simplify fraction: Simplify the fraction $8/2$ . $8/2 = 4$
Add whole numbers: Now, add the whole number $4$ to the negative whole number $-2$ . $4 + (-2) = 4 - 2$
Perform subtraction: Perform the subtraction. $4 - 2 = 2$