Simplify. 3/4−4z+5/4z−1/2+1/2z enter your answer in the box.

for an experiment, the temperature of a liquid must stay above 60°f . the starting temperature of the liquid is 90°f . it is placed in a cooler, which lowers its temperature 3°f each minute.

let m represent the number of minutes the liquid is in the cooler.

which statement determines how many minutes the liquid can stay in the cooler?

the liquid must be in the cooler fewer than 10 minutes.

the liquid must be in the cooler fewer than 15 minutes.

the liquid must be in the cooler fewer than 30 minutes.

the liquid must be in the cooler fewer than 60 minutes.

write and solve an equation.

on monday anna picked some apples. on tuesday she picked 15 more apples than on monday.

if anna picked 32 apples on tuesday, how many apples, a, did she pick on monday?

solve for a.

enter your answer in the box.

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Which expression is a factor of 12x2 + 29x – 8? x – 8 2x – 1 3x + 8 4x + 1

Triangles abc and dfg are given. find the lengths of all other sides of these triangles if: b ∠a≅∠d, ab·dg=ac·df, ac=7 cm, bc=15 cm, fg=20 cm, and df-ab=3 cm.