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All Textbook Solutions for Elementary Technical Mathematics
Find the volume of a box with dimensions l=48 in., w=24 in., and h=96 in.Given v=v0+gt,v0=12,g=32, and t=5, find v.Given Q=CV,C=12, and V=2500, find Q.Given I=EZ,E=240, and Z=15, find I.Given P=I2R,I=4, and R=2000, find P.Which numbers are divisible a. by 3 and b. by 4? 152EWhich numbers are divisible a. by 3 and b. by 4? 964E5E6E7EClassify each number as prime or not prime: 579E10E11EClassify each number as prime or not prime: 12313E14E15E16ETest for divisibility by 2: 315,817Test for divisibility by 2: 877,778Test for divisibility by 2: 136720E21E22ETest for divisibility by 3 and check your result with a calculator: 453,128Test for divisibility by 3 and check your result with a calculator: 178,21325ETest for divisibility by 3 and check your result with a calculator: 15,69027E28E29E30E31E32E33E34ETest the divisibility of each first number by the second number: 218; 336E37ETest the divisibility of each first number by the second number: 2184; 339E40E41E42E43E44E45EFind the prime factorization of each number (use divisibility tests where helpful): 1847E48EFind the prime factorization of each number (use divisibility tests where helpful): 3650E51E52E53E54E55E56EFind the prime factorization of each number (use divisibility tests where helpful): 120Find the prime factorization of each number (use divisibility tests where helpful): 7259E60E61E62E63EFind the prime factorization of each number (use divisibility tests where helpful): 4441RSubtract: 23015063R4R5R6R7R8R9R10R11R12R13RA=12bh,b=40,andh=15,findA15R16R17R18R19R20RSimplify: 12282E3E4E5E6E7E8E9ESimplify: 729611ESimplify: 15113E14ESimplify: 9016ESimplify: 141618E19E20E21E22E23E24E25E26E27E28E29ESimplify: 525115531EChang each fraction to a mixed number in simplest form: 11433E34E35E36EChang each fraction to a mixed number in simplest form: 576Chang each fraction to a mixed number in simplest form: 84939EChang each fraction to a mixed number in simplest form: 27016Change each mixed number to an improper fraction: 356Change each mixed number to an improper fraction: 63443EChange each mixed number to an improper fraction: 52345E46E47E48EChange each mixed number to an improper fraction: 1035Change each mixed number to an improper fraction: 1256Pies in a restaurant are cut into 6 pieces each. Twenty eight pieces would be equivalent to 286 pies. Change this improper fraction to a mixed number reduced to lowest terms.52EFind the LCD of each set of fractions: 12,18,116Find the LCD of each set of fractions: 13,25,37Find the LCD of each set of fractions: 16,310,114Find the LCD of each set of fractions: 19,115,5215E6E7EPerform the indicated operations and simplify: 12+389E10EPerform the indicated operations and simplify: 27+328Perform the indicated operations and simplify: 19+245Perform the indicated operations and simplify: 38+56414E15E16E17E18E19EPerform the indicated operations and simplify: 316+18+13+14Perform the indicated operations and simplify: 120+130+140Perform the indicated operations and simplify: 114+115+1623EPerform the indicated operations and simplify: 536+1172+56Perform the indicated operations and simplify: 7834Perform the indicated operations and simplify: 9642128Perform the indicated operations and simplify: 4531028EPerform the indicated operations and simplify: 914342Perform the indicated operations and simplify: 8952431E32EPerform the indicated operations and simplify: 212+434Perform the indicated operations and simplify: 358+53435EPerform the indicated operations and simplify: 853437E38E39EPerform the indicated operations and simplify: 8144716Perform the indicated operations and simplify: 345+98942E43E44E45E46EFind the perimeter of the triangular plot in Illustration 1. ILLUSTRATION 1A welder has four pieces of scrap steel angle of lengths 314ft,238ft,and4316ft. If they are welded together, how long is the welded piece?A welder has two pieces of half-inch pipe, one of length 238 ft and another of length 378 ft. a. What is the total length of the two welded together? b. If she needs a total length of 434 ft, how much must be cut off?What is the difference in the size (diameter) of 6011 welding rods of diameter 18 in. and Super Strength 100 rods of diameter 332 in.?51EA Piper Warrior holds 50 gal of aviation fuel. A pilot takes off and lands at another airport and fills up the tank, which takes 1712 gal. The pilot then files to a second airport, which requires 2038 gal. Had the pilot made the trip to the two airports without refueling each time, how much fuel would have been left in the tank?A pilot flies to an island off the coast of North Carolina and uses 2514 gal of fuel. The return trip only uses 2334 gal. The difference is due to the wind. What is the difference in the fuel used?Oil is changed in three automobiles. They hold 412 qt, 414 qt, and 438 qt. How much total oil is used?55EA heating and cooling specialist needs two pieces of duct 334 ft and 214 in length. Three are two pieces in stock that are each 4 ft long. After these two lengths are cut off, what excess will be left?The cooling requirements for the three separate incubation rooms are 13 ton 34 ton, and 916 ton. If a central HVAC unit will be installed, how many tons are required?58E59EFind a. the length of the missing dimension and b. the perimeter of each figure.Find a. the length of the missing dimension and b. the perimeter of each figure.Find a. the length of the missing dimension and b. the perimeter of each figure.63EThe perimeter of a triangle is 59932 in. One side is 1958 in., and a second side is 171316 in. How long is remaining side?65E66E67EFind the total current in each parallel circuit:Find the length of the shaft in Illustration 3. ILLUSTRATION 370E71E72E73E74EFloor joists are spaced 16 in. OC (on center) and are 158 in. thick, as shown in Illustration 9. What is the distance between them? ILLUSTRATION 9If no tap drill chart is available, the correct drill size (TDS) can be found by using the formula TDS=ODP , where OD is the outside diameter and P is the pitch of the thread (the distance between successive threads). See Illustration 10. Find the tap drill size for a 38 in. outside diameter if the pitch is 116 in. ILLUSTRATION 10How much must the diameter of a 78 in. Shaft be reduced so that its diameter will be 5164 in.?What is the difference in thickness between a 716 in. steel plate and a 58 in. steel plane?A large milling machine shaves 332 in. from a plate that 178in. thick. What is the thickness of the plate after three passes?80ESee Illustration 12. What width and length steel strip is needed in order to drill three holes of diameter 3516 in.? Allow 732 in. between and on each side of the holes. ILLUSTRATION 1282EAn automotive technician needs the following lengths of 38 in. copper tubing: 1538in.,734in.,1112in.,7732in.,and10516in. What is the total length of tubing needed?84E85E86E87E88EWhile making a pie, the pastry chef has 34 stick of butter and 12 stick of butter. How much is the total?90E91EA salad person has 512 heads of lettuce. If 112 heads of lettuce are used for sandwiches and 234 heads of lettuce are used for salads, how many heads of lettuce remain?Some French fries come in 5-lb bas. Today 112 bags of fries are available at the start of the shift and 3 additional bags are brought from the freezer. Sandwich orders use 134 bags of fries, individual orders of fries use 212 bas, and 18 bag is wasted. How many French fries remain at the end of the shift?94EPerform the indicated operations and simplify: 23182EPerform the indicated operations and simplify: 34124EPerform the indicated operations and simplify: 1345166EPerform the indicated operations and simplify: 162178Perform the indicated operations and simplify: 7124556Perform the indicated operations and simplify: 2735Perform the indicated operations and simplify: 916231615Perform the indicated operations and simplify: 5871027Perform the indicated operations and simplify: 9165942513E14E15E16E17EPerform the indicated operations and simplify: 10123519EPerform the indicated operations and simplify: 1823621E22E23EPerform the indicated operations and simplify: 731825E26E27E28E29EPerform the indicated operations and simplify: 2135810431E32E33E34EA barrel has a capacity of 42 gal. How many gallons does it contain when it is 34 full?a. Find the area of a rectangle with length 613 ft and width 334 ft. (Area=lengthwidth.) b. Find its perimeter.A welder uses seven 6011 welding rods to weld two metal slabs. If each rod makes a 612 in. weld, find the total length of the weld.A welder has 634 ft of 12 -in. pipe. How many pieces of pipe, each of length 134 ft, can be abstained from the original pipe if each cut removes 116 in. of pipe? How long its the remaining piece of pipe?A small aircraft flew a total of 68414 mi. if it took the plane 523 h to make the trip, how fast was the aircraft flying?On a Civil Air Parton mission, five search planes searched for 314 h for a mission aircraft. How many total hours did they search?Nine pieces of 8-in. 12-in. duct that is 323 ft in length is needed for a building. What is the total length needed?The HVAC supply duct is 17 ft long. Our track bed can only carry ducts 412 ft long. How many pieces must the 17-ft duct be cut into and how long is each piece, assuming most of the pieces will be 412 ft?Find the number of board feet in each quantity of lumber: 10 pieces 2 in. 4 in. 12ft44EFind the number of board feet in each quantity of lumber: 175 pieces 1 in. 8 in. 14 ft46E47E48ETwo metal strips are riveted together in a straight line, with 16 equally spaced rivets. The distance between the first and last rivet is 2818 in. center to center. Find the distance between any two consecutive rivets.Find length x, the distance between centers, in Illustration 2. ILLUSTRATION 2From a steel rod 36 in. long, the following pieces are cut: 3 pieces 218 in. long 2 pieces 534 in. long 6 pieces 78 in. long 1 piece 312 in. long Assume 116 in. of waste in each cut. Find the length of the remaining piece.A piece of drill rod 2 ft 6 in. long is to be cut into pins, each 212 in. long. a. Assume no loss of material in cutting. How many pins will you get? b. Assume 116 in. waste in each cut. How many pins will you get?The cutting tool on a la the moves 3128 in. along the piece being turned for each revolution of work. The piece revolves at 45 revolutions per minute. How long will it take to turn a length of 9964 -in. stock in one operation?Three vents are equally spaced along a wall 26 ft 6 in. (318 in.) long, as shown in Illustration 3. Find dimension d. ILLUSTRATION 3A concrete pad for mounting a condensing unit is 4 ft long, 223 ft wide, and 3 in. (14ft) thick. Find its volume in cubic feet.How many lengths of heater hose, each 514 in. long, can be cut from a 6-ft roll?An automobile dealership received six cars that needed to be detailed. If the service staff took 712 h to detail the automobiles, how long did each car take?58E59E60EAn electric hand drill draws 334A and has a resistance of 513. What power does it use? (P=I2R.)A wiring job requires the following lengths of BX cable: 12 pieces 812 ft long 7 pieces 1812 ft long 24 pieces 134 ft long 12 pieces 612 ft long 2 pieces 3414 ft long How much cable is needed to complete the job?63EHow many lengths of wire, each 378 in. long, can be cut from a 25-ft roll? What length remains?Install 7 equally-spaced wall outlets in a straight line in a hallway so that the distance between the centers of the two end outlets is 4312 ft. a. What is the distance, center to center, between two adjacent outlets? b. If each outlet is 3 in. wide, what is the total distance between the outside edges of the two most outer outlets? c. What is the distance from the left edge of the most left outlet to the center of the fourth outlet from the left?