Solve the problem.A volunteer wants to crochet beach hats and baby afghans for a church  bazaar. She needs 8 hours to make a hat and 2 hours to make an afghan and she has 16 hours available. Write an inequality that describes the situation and use the inequality to decide whether she can make 9 hats and 8 afghans in the time allowed. Let x represent the number of hats and y the number of afghans that she makes.

A. 8x + 2y ? 16; no
B. 8x + 2y ? 16; yes
C. 8x + 2y ? 16; no
D. 8x + 2y ? 16; yes


Answer: C

Mathematics

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?Which of the following is true about similar polygons?

A. ?If a and a', b and b', c and c', etc. are corresponding sides, then ak = a', bk = b', ck = c', etc. B. ?If the polygons are similar, then the perimeter of one polygon is kP, where k is the constant of proportionality and P is the perimeter of one polygon. C. ?If the polygons are similar, then the perimeter of one polygon is knP, where k is the constant of proportionality, P is the perimeter of one polygon, and n is the number of sides of the polygon.  D. ?a and b are true. E. ?a and c are true.

Mathematics

Solve the problem.A trough is to be made with an end of the dimensions shown. The length of the trough is to be  long. Only the angle ? can be varied. What value of ? will maximize the trough's volume?

A. 14° B. 30° C. 32° D. 46°

Mathematics

Use integration by parts to establish a reduction formula for the integral., n ? 1

A.  = secn-2 x tan x + (n - 2) 
B.  = secn-2 x tan x - (n - 2) 
C.  = secn-2 x tan x + 
D.  = secn x tan x - 

Mathematics

Construct a truth table for the statement.~((w ? t) ? s)

A.

TTTT
T T F F
T F T T
T F F F
F T T T
F T F F
F F T F
F F F T
B.
TTTF
T T F F
T F T F
T F F T
F T T F
F T F T
F F T F
F F F T
C.
TTTT
T T F F
T F T T
T F F F
F T T T
F T F F
F F T T
F F F F
D.
TTTT
T T F T
T F T T
T F F F
F T T T
F T F F
F F T F
F F F F

Mathematics