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Find a formula for the perimeter P of the polygon

Question : Find a formula for the perimeter P of the polygon : 2160139

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find a formula for the perimeter P of the polygon.

1)

A) P = B + H

B) P = 2B + 2H

C) P = BH

D) P = 2BH

2)

A) P = 2S + BH

B) P = (1/2)SB + BH

C) P = 2S + 2H + 2B

D) P = 2S + 2H + B

3)

A) P = 2AB + 2CD

B) P = AB + CD

C) P = 2A + 2B + 2C

D) P = A + B + C + D

4)

A) P = 2A + 2B + 2C + 2D + 2E

B) P = A + B + C + D + E

C) P = 2A + 2B + C + 2D + 2E

D) P = A + B + C + D + 2E

Substitute the given values for the variables and then solve the equation for the remaining variable. Round approximate results to the second decimal place.

5) P = 2L + 2W; P = 28, W = 8

A) 14

B) 10

C) 6

D) 20

6) V = (1/3) Bh; V = 27, h = 9

A) 9

B) 3

C) 36

D) 243

7) I = prt; I = 4.8, p = 120, r = 0.01

A) 4

B) 5.76

C) 0.0576

D) 0.4

8) A = (1/2)(b + B)h; A = 50, b = 10, B = 10

A) 100

B) 10

C) 5

D) 40

Solve the problem.

9) A rectangular room has a perimeter of 100 feet and a width of 12 feet. Find the length.

A) 38 ft

B) 76 ft

C) 37 ft

D) 40 ft

10) A rectangular room has a area of 578 square feet and a width of 17 feet. Find the length.

A) 37 ft

B) 68 ft

C) 12 ft

D) 34 ft

11) Find a formula for the total sales T (in dollars) of selling n gallons of gasoline at $3.03 per gallon.

A) T = 303n

B) T = 3.03n

C) T = (3.03/n)

D) T = (n/3.03)

12) Tickets for a play are sold at two prices; $15, and $23. Find a formula for the total cost T (in dollars) of k tickets that sold for $15 per ticket and n tickets that sold for $23 per ticket.

A) T = 38kn

B) T = 23k + 15n

C) T = 15k - 23n

D) T = 15k + 23n

13) Tickets for a play are sold at two prices; $19, and $31. Find a formula for the total cost T (in dollars) of k tickets that sold for $19 per ticket and n tickets that sold for $31 per ticket. Use the formula to find the value of T when k = 60 and n = 90.

A) T = $4030

B) T = $3570

C) T = $393,000

D) T = $3930

14) The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p = 25.2t + 607 where t is the number of years since 2005. Solve this equation for t and use the new equation to determine approximately what year it will be when the average price of a studio in this city reaches $1287.40.

A) 2033

B) 2035

C) 2032

D) 2034

15) Suppose economists use as a model of a country's economy the equation

C = 0.7291D + 5.9592

where C represents the consumption of products in billions of dollars and D represents disposable income in billions of dollars. Solve the equation for D and use the result to determine the disposable income D if the consumption C is $8.90 billion. Round your answer to the nearest tenth of a billion.

A) $12.4 billion

B) $6.2 billion

C) $3.8 billion

D) $4.0 billion

16) How long would it take to drive 600 kilometers if your average rate of speed was 60 kilometers per hour? Use the formula d = rt.

A) 360 hr

B) 11 hr

C) 10 hr

D) 66 hr

17) A contestant in a 21-mile race finished in 6 hours. What was her average rate during the race? Use the formula d = rt. (Round to the nearest tenth, if necessary.)

A) 3.5 mph

B) 126 mph

C) 15 mph

D) 0.3 mph

18) Nathan invested his $6000 poker winnings in a 5 year Certificate of Deposit at a rate of 0.04. Use the formula I = Prt to find the amount of interest Nathan's investment will earn.

A) $1,200

B) $6,240

C) $7,200

D) $240

19) Farmer Joe just replaced the fencing for his pig pen. He used exactly 44 feet of fencing for the rectangular shaped pen. If the length of the pen is 16 feet, what is the width of the pen? Use the formula P = 2L + 2W.

A) 2(3/4) ft

B) 38 ft

C) 6 ft

D) 12 ft

20) Joanie drives a truck for the local trucking company in Seattle and earns $40 per hour. On one particular trip, she leaves Seattle at 7 a.m. and travels 248 miles to the warehouse. At the warehouse, she waits for 5 hours for her truck to be loaded and then returns to Seattle. She estimates that she can travel at an average speed of 62 miles per hour. Use the formula d = rt to determine how much money Joanie expects to earn from her trip if she includes the time she waits for the truck to be loaded.

A) $160

B) $360

C) $520

D) $320

21) A gallon of paint can cover about 300 square feet. Find the number of gallons of paint that John should purchase to paint two coats of paint on all the walls and the ceiling of a room that measures 8 feet by 7 feet with a 10 foot ceiling. Remember, you cannot purchase a partial container of paint.

A) 3 gal

B) 4 gal

C) 0 gal

D) 2 gal

22) A new car dealership sold 278 cars in 2010, and sales are increasing by about 43 cars per year. Let s be the number of cars sold in the year that is t years since 2010. Find an equation for a linear model to describe this situation.

A) s = 278t + 43

B) s = 321t + 278

C) s = 43t + 278

D) s = (2010)(43)t + 278

23) A new car dealership sold 301 cars in 2010, and sales are increasing by about 32 cars per year. Let s be the number of cars sold in the year that is t years since 2010. Find an equation for a linear model to describe this situation. Then solve that equation for t.

A) t = (32/s - 301)

B) t = (s + 301/32)

C) t = (301 - s/32)

D) t = (s - 301/32)

Solution
5 (1 Ratings )

Solved
Algebra 5 Months Ago 92 Views
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