Afamily spends 1⁄10 of its annual income for housing, 1⁄4 for food and clothing, 1⁄5 for general expenses, and 2⁄15 for entertainment. what fractional part of their income is spent on these items altogether?

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

What is the distance from (–3, 1) to (–1, 5)? round your answer to the nearest hundredth. (4 points) a. 3.60 b. 4.12 c. 4.47 d. 5.66

Write as a product of two polynomials. 2(3–b)+5(b–3)^2