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## Applied Mathematics Questions

### Question Description

For this assignment please complete the 63 math problems Good luck!

Item at position 1

1.A 10-lb of roast beef is to be medium roasted at 350 degrees Fahrenheit. Total roasting time is determined by allowing 15 minutes roasting time for every pound of beef. If the roast is placed in a preheated oven at 2:00 PM what time should it be removed?

5:00 pm

5:30 pm

4:00 pm

4:30 pm

Item at position 2

1.How many 1x6s (each one is 6 inches wide) are needed for a fence to enclose the backyard in the figure?

356

272

382

422

Item at position 3

What is 3/4 divided 1/8?

Item at position 4

1.A sheet metal technician is required to cut twenty-five 3 7/16-inch lengths of band iron, allowing for 3/32-inch of waste for each cut. The pieces are cut from a band iron that is 142 ¾ long. How many inches of stock is leftover after the pieces are cut?

54 17/32

53 9/16

54 7/16

54 15/32

Item at position 5

1.A race car travels 2 3/16 miles per minute. How far will it travel in 2 1/4 hours?

24 9/16 miles

26 21/32 miles

25 11/32 miles

27 1/4 miles

Item at position 6

1.An 8 foot 2×4 is used to make blocks that are 10 1/2 inches long. How many blocks can be made, assuming 1/8-inch waste for each cut?

9

11

10

12

Item at position 7

What is 6 1/2 divided by 5/8?

2 3/4

8 3/5

30 1/16

10 2/5

Item at position 8

1.If there are 138 questions on a test, how many do you have to get correctly to get an 76% or better on the exam?

105

112

93

76

Item at position 9

1.If it takes 3 1/4 cups of flour to make 3 dozen cookies, how much flour does it take to make 10 dozen cookies?

8 3/4 cups

10 5/6 cups

6 1/3 cups

9 3/4

Item at position 10

Round 6.57948 to the nearest hundredth

6.579

6.6

6.58

6.5795

Item at position 11

Round 635.9823 to the nearest ten (not tenth).

630

636.00

640

636.0

Item at position 12

1.A contractor bids a job for \$66,900. Of this, labor costs are \$24,675. Material costs are \$28,500. What percent of the total bid is Profit an Overhead?

20.5%

32.5%

41.5%

15.5%

Item at position 13

What percent of 8 is 12?

150%

66%

120%

75%

Item at position 14

(6 1/7) times 3 1/6) equals?

21 3/21

20 4/7

19 19/42

18 1/42

Item at position 15

16 3/4 divided by 4/3 equals?

9 7/12

12 9/16

21 7/12

4 2/3

Item at position 16

1.In planning for a banquet, the chef estimates that 250 glasses of orange juice will be needed. Each glass holds 190 milliliters. How many liters of orange juice should be ordered?

44 liters

48 liters

56 liters

470 liters

Item at position 17

A box measures 60 cm x 120 cm x 170 cm. How many cubic meters is its volume?

1.224 m3

12,240 m3

1224 m3

12.24 m3

Item at position 18

1.A room is 5 yards by 8 yards. How many square 14-inch tile will it take to floor the room?

348

245

265

748

Item at position 19

Express 109 g/cm2 as kg/mm2

.0000109 Kg/mm2

.109 Kg/mm2

.00109 Kg/mm2

109 Kg/mm2

Item at position 20

Express 71 ft/sec as mi/hour

.810 mi/hr

48.4 mi/hr

290 mi/hr

154.6 mi/hr

Item at position 21

Express 3.4 lbs/in2 as tons/yd2

6.1 tons/yd2

.061 tons/yd2

2.2 tons/yd2

220 tons/yd2

Item at position 22

1.If x = 12 an y = 0, what is 23 + 3x – y?

48

59

11

36

Item at position 23

1.If C = 3.2 and D = 1.8, What is (3CD + 14) divided by (2C 5D)?

7.06

-12.03

-24.11

19.07

Item at position 24

1.Simplify (Group like terms): [5x2y + 4xy2 + (-11x2y2) – 3x2y + 7xy2 + 19x2y2]

2x2y + 11xy2 + 30x2y2

2x2y – 3xy2 + 8x2y2

8x2y + 11xy2 + 8x2y2

1. 2x2y + 11xy2 + 8x2y2

Item at position 25

1.FOIL method. Multiply the following: (4x  7)(2x + 5)

8x2 – 14x -35

8x2 + 20x -35

8x2 + 6x – 35

8x2 + 6x + 35

Item at position 26

1.Simplify. [ 12x5y5 + 15x6y2 ] divided by 3x3y

4x2y4 + 5x2y

4x2y5 + 5x3y2

4x2y4 + 5x3y

4x3y5 + 5x3y

Item at position 27

What is the square root of 46?

32

4

16

64

Item at position 28

1.The volume of a cube is 125 cubic inches. What is the length of the sides?

25 inches

41.7 inches

5 inches

125 inches

Item at position 29

1.A contractor is pouring a concrete wall that is 5 feet high, 16 inches thick, and 275 feet long. How many cubic yards of concrete will it take to pour the wall?

204 yd3

68 yd3

38 yd3

815 yd3

Item at position 30

1.The area of a circle is 650 square feet. What is the radius of the circle?

103.5 ft

25.5 ft

17.9 ft

14.4 ft

Item at position 31

1.V = I * R. If there are 120 volts (V) and there are 4 amps (I), how much resistance (R) is there?

120

480

30

.33

Item at position 32

1.The perimeter of a square is equal to four times the length of a side of the square. How long is the side if the perimeter is 100 feet?

10 feet

50 feet

400 feet

25 feet

Item at position 33

If the square root of C is equal to 4, what is C equal to?

64

16

4

2

Item at position 34

If the cube root of D is equal to 3 what is D equal to?

81

27

3

9

Item at position 35

1.A company’s profit in the first half of the year is \$125,000 more than the second half of the year. If the total profit for the year is \$950,000, then what is the profit for the first half of the year?

\$412,500

\$825,000

\$525,000

\$537,500

Item at position 36

Convert 770F to 0C using the formula: 0F = (9/5)(0C) + 32

106 0C

10.7 0C

25 0C

42.6 0C

Item at position 37

Solve for E: P=IE/1000

E = I*P/1000

E = 1000I*P

E = 1000P/I

E = P/1000I

Item at position 38

Write the equation (y = mx+ b) given m = 3, point (3,5)

y = (1/3)x – 4

y = 3x – 4

y = (1/3)x + 4

y = 3x + 8

Item at position 39

1.Write the two equations: (1) the sum of two numbers is 45. (2) Three times their product is 115.

Eq #1: x + y = 45 Eq #2: 3x*3y = 115

Eq #1: x – y = 45 Eq #2: 3x*3y = 115

Eq #1: x + y = 23 Eq #2: (3x)(3y) = 115

Eq #1: x + y = 45 Eq #2: 3(xy) = 115

Item at position 40

Solve for both angles. Given: The sum of the angles inside of a triangle is 180 degrees. The first angle is 40 degrees. The second angle is twice as big as the third angle. What are the measures of the second and third angles?

400 and 800

1000 and 500

60.20 and 120.40

46.60 and 93.30

Item at position 41

1.How much of a 10% acid solution and how much of a 70% acid solution should be mixed to make 100 liters of 30% acid solution?

60 liters and 40 liters, respectively

70 liters and 30 liters, respectively

33 liters and 67 liters, respectively

25 liters and 75 liters, respectively

Item at position 42

How many unique lines can be drawn between two points?

An infinite number

One

Two

Item at position 43

What is the measure of the angle created by perpendicular lines?

45 degrees

180 degrees

0 degrees

90 degrees

Item at position 44

1.Express the following in degrees, minutes, and seconds: 75.32 degrees.

750 19′ 12″

750 34′ 42″

750 30′ 2″

750 29′ 7″

Item at position 45

1.One fourth of a circle is divided into 10 equal angles. What is the measure of each angle?

900

90

2.50

360

Item at position 46

1.How many degrees are there if you added up all of the interior angles of an octagon?

7200

8000

9000

10800

Item at position 47

What is the sum of all the exterior angles of a regular hexagon

3600

7200

1200

600

Item at position 48

Find the area of an equilateral triangle if each of the sides measures 8 cm

27.7 cm2

55.4 cm2

64 cm2

32 cm2

Item at position 49

1.You are trying to figure out how much area of tile you have in bathroom. The bathroom is 2.7 meters long and 2.1 meters wide. The floor is to be tiled. Also, the four walls are to be tiled up to a height of 1.5 meters. Subtract 2.3 m2 for the door and the window (which, obviously wont be tiled!). So, how many square meters of tile is needed to be laid on the walls and floor?

12.1 m2

20.1 m2

9.6 m2

17.8 m2

Item at position 50

1.Find the volume of a prism with a base area of 120 square inches and a height of 7 inches.

127 in2

14400 in2

100,800 in2

840 in2

Item at position 51

1.A cylinder has a volume of 675 cubic centimeters. It is 15 centimeters in height. What is the radius of the cylinder?

3.6 cm

3.8 cm

4.1 cm

6.2 cm

Item at position 52

1.A cereal box has a base that is 3 inches by 9 inches. It is 15 inches tall. How many square inches of Cardboard is needed to make the box?

1.342 in2

548 in2

288 in2

472 in2

Item at position 53

1.An oatmeal box has a radius of 3 inches. It is 8 inches tall. The top is made of metal the rest of the box is made of Cardboard. How many square inches of Cardboard is needed to make the oatmeal box?

151 in2

207 in2

179 in2

139 in2

Item at position 54

1.A round jacuzzi has a radius of 145 centimeters. It measures 85 centimeters deep. How many liters of water does the jacuzzi hold?

5614 Liters

42,180 liters

12,346 liters

1812 liters

Item at position 55

If cos x0 = .5136, how many degrees is the measure of x?

650

310

590

720

Item at position 56

Find the area of the triangle:

31.2 cm2

84.8 cm2

62.4 cm2

44.3 cm2

Item at position 57

1.A plane is flying towards an airport. The airport beacon is on a down angle of 13 degrees from the nose of the plane. The plane is at an altitude 5000 feet above the beacon. How far away from the tip of the aircraft nose to the airport beacon is the plane from the airport?

8,678 ft

21,657 ft

22,227 ft

12,145 ft

Item at position 58

What is sin 350

.7463

.6234

.8122

.5736

Item at position 59

1.In a right triangle, the hypotenuse is 35 inches long. What is the length of the side opposite a 400 angle?

32.5 inches

27.5 inches

24.5 inches

22.5 inches

Item at position 60

1.A contractor is estimating materials for a triangular piece of flat work. The flat work is a right triangle with the hypotenuse measuring 115 ft, and one of the angles measures 350. If the concrete is 4 inches thick, how many cubic yards of concrete will be required. (Hint: this is a Volume problem with a triangular prism. Also, there are 27 cubic feet in a cubic yard)

108 yds3

76 yd3

38 yds3

216 yds3

Item at position 61

1.John is erecting an antenna that is 65 feet tall. The guy wires are 75 feet long and attach 10 feet below the top of the antenna. How far from the base of the antenna should John place the stakes that attach to the wires?

51 ft

41 ft

36 ft

46 ft

Item at position 62

1.Art wants to calculate the diagonal distance across opposite corners of a rectangular parcel. The parcel is 151 feet by 326 feet. How long is the diagonal measurement?

401 ft

176 ft

361 ft

226 ft

Item at position 63

1.What is the volume of a box with a square base if the diagonal of the square base measures 10 cm and the height of the box is 25 cm?

625 cm3

3250 cm3

2500 cm3

1250 cm3

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