In a rectangle, the ratio of the width to the length is 4: 5. if the rectangle is 40 centimeters long, find its width.

Multiply: 2.7 × (–3) × (–1.2). a. –9.72 b. –10.8 c. 10.8 d. 9.72

Which of the following multiplication expressions can be modeled by the tiles shown? check all that apply. 8(3) = 24 6(4) = 24 (3)(12) = 36 24(3) = 72 3(8) = 24 2(12) = 24

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?