Determine which numbers in the set are solutions to the equation.4n - 5 = 11; {4, 7, 16}

A. 7
B. 16
C. 4
D. none of them


Answer: C

Mathematics

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Construct a frequency polygon.

A. Frequency

Number of hours worked

B. Frequency

Number of hours worked

Mathematics

Use the circle graph to solve the problem. Give your answer as a fraction, decimal, and as a percent.The circle graph below shows the majors for 120 college students at Blackwood Community College. What portion of the students are majoring in science?

A.

; 0.2; 20%

B. ; 0.4; 4%
C. ; 0.33; 33%
D.
; 0.4; 40%

Mathematics

Discuss the equation and graph it.r = 

A. hyperbola, directrix perpendicular to
the polar axis  unit right of the pole
vertices (, 0), (- , ?)

B. ellipse, directrix parallel to 
the polar axis  unit below the pole
vertices (), ()

C. hyperbola; directrix parallel to 
the polar axis  unit above the pole
vertices (), (- )
 
D. ellipse, directrix perpendicular to 
the polar axis  unit left of the pole
vertices (, 0), (, ?)

Mathematics

Solve the problem.An office manager is buying used filing cabinets. Small file cabinets cost $4 each and large file cabinets cost $11 each, and the manager cannot spend more than $61 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 62 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.

A. 4x + 11y ? 61 9x + 5y ? 62 x ? 5 B. 4x + 11y ? 61 5x + 9y ? 62 y ? 5 C. 4x + 11y ? 61 5x + 9y ? 62 x + y ? 5 D. 4x + 11y ? 61 5x + 9y ? 62 x + y ? 5

Mathematics