Choose a variable to represent one quantity. State what that quantity represents and then express the second quantity in terms of the first.A 54-centimeter piece of rope is cut into two pieces.

A. first piece: z cm; second piece: 54 - 2z cm
B. first piece: z cm; second piece: z - 54 cm
C. first piece: z cm; second piece: z + 54 cm
D. first piece: z cm; second piece: 54 - z cm


Answer: D

Mathematics

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Use De Morgan's laws to write a negation of the statement.Cats are lazy or dogs aren't friendly.

A. Cats aren't lazy and dogs are friendly. B. Cats aren't lazy or dogs aren't friendly. C. Cats aren't lazy or dogs are friendly. D. Cats are lazy and dogs are friendly.

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Translate the given formula to an English phrase using the word "varies".A = bh, where A is the area of a triangle with base b and height h

What will be an ideal response?

Mathematics

Set up the percent proportion for the application problem. Do not try to solve for any unknowns.There are 120 quarts of grape juice in a vat holding a total of 3000 quarts of fruit juice. What percent is grape juice?

A.  = 
B.  = 
C.  = 
D.  = 

Mathematics

Decide whether the pair of lines is parallel, perpendicular, or neither.3x - 8y = 1532x + 12y = 6

A. Parallel B. Neither C. Perpendicular

Mathematics