Find an equation of variation for the given situation.y varies directly as x and inversely as z, and y = 12 when x = 2 and z = 8.

A. y = 
B. y = 
C. y = 
D. y = 51xz


Answer: B

Mathematics

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Solve the problem.Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 8 hours to make a hat and 2 hours to make an afghan, and she has no more than 58 hours available. She has material for no more than 14 items and no more than 10 afghans. The bazaar will sell the hats for $23 each and the afghans for $5 each. How many of each should she make to maximize the income for the bazaar? What is the maximum income?

A. 7 hats, 7 afghans; $196 B. 10 hats, 4 afghans; $250 C. 9 hats, 5 afghans; $232 D. 5 hats, 9 afghans; $160

Mathematics

Solve. Write the fraction in simplest form.Johanna has a  - lb mixture of cashews and peanuts that includes  lb of cashews. How many pounds of peanuts are in the mixture?

A.  lb
B.  lb
C.  lb
D.  lb

Mathematics

Write the numeral in the problem in the Roman system. ? 258 ?

A. DXXII B. DXXI C. LXXV D. XLVII E. CCLVIII

Mathematics

Fill in the blank with one of the words or phrases listed below.Two algebraic methods for solving systems of equations are  and .

A. consistent, inconsistent B. addition, solution C. substitution, dependent D. addition, substitution

Mathematics