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calculus

Prealgebra 7th edition Elayn Martin Gay - Solutions

1. A certain compact disc (CD) can hold 700 megabytes (MB) of information. How many MBs can 17 discs hold?2. An average cow eats 3 pounds of grain per day. Find how much grain a cow eats in a year. (Assume 365 days in 1 year.)
1. One ounce of Planters® Dry Roasted Peanuts has 13 grams of fat. How many grams of fat are in 16 ounces?2. The student activities group at North Shore Community College is planning a trip to see the local minor league baseball team. Tickets cost $5 for students, $7 for nonstudents, and $2 for
Perform each indicated operation. 1. 126 ...- 8 2. 47 + 26 + 10 + 231 + 50 3. Find the product of 19 and 4. 4. Find the total of 14 and 9.
Solve. 1. Rewrite 11 + 11 + 11 + 11 + 11 + 11 using multiplication. 2. Rewrite 4 # 5 as repeated addition.
1. During the NBA's 2012-2013 regular season, Carmelo Anthony of the New York Knicks scored 157 three-point field goals, 512 two-point field goals, and 425 free throws (worth one point each). How many points did Carmelo Anthony score during the 2012-2013 regular season?
Match each word phrase to the correct translation. (Not all letter choices will be used.) See the Concept Check in this section. 1. The quotient of 200 and 20 a. 20 ÷ 200 b. 200 ÷ 20 c. 40 ÷ 8 d. 8 ÷ 40 2. 40 divided by 8 a. 20 ÷ 200 b. 200 ÷ 20 c. 40 ÷ 8 d. 8 ÷ 40
The following table shows the top five leading U.S. television advertisers during the first half of 2013 and the amount of money spent that half-year on advertising. Use this table to answer in below ExercisesFind the average amount of money spent on television advertising by the top four
In Example 12 in this section, we found that the average of 75, 96, 81, and 88 is 85. Use this information to answer in below Exercise. 1. If the number 96 is removed from the list of numbers, does the average increase or decrease? Explain why. 2. Without computing it, tell whether the average of
Find each quotient.1. 45 / 92. 12 / 03. 6 ÷ 24. 7 ÷ 05. 18 ÷ 3
Find each quotient. 1. 72 ÷ 92. 24 ÷ 33. 0 ÷ 44. 38 ÷ 15 49 / 49
Divide and then check by multiplying.1. 5√852. 8√6403.4√21044. 0 / 305. 56 ÷ 8
Divide and then check by multiplying.1. 7√4262. 3√12403. 167 ÷ 34. 3333 ÷ 4
Divide and then check by multiplying.1. 23√7362. 42√20163. 44√19384. 7354 ÷ 125. 5670 ÷ 14
Divide and then check by multiplying.1. 2505 ÷ 642. 5781 / 1233. 23,092 / 2404. 40,853 ÷ 2035. 164,592 ÷ 543
Divide.1. 8√1042. 5√30173. 50√85,7474. 214√650,560
Solve.1. Find the quotient of 94 and 7.2. Find 116 divided by 32.3. Find the quotient of 78 and 5.
1. Kathy Gomez teaches Spanish lessons for $85 per student for a 5-week session. From one group of students, she collects $4930. Find how many students are in the group. 2. Twenty-one people pooled their money and bought lottery tickets. One ticket won a prize of $5,292,000. Find how many dollars
1. Professor Lopez has a piece of rope 185 feet long that she wants to cut into pieces for an experiment in her physics class. Each piece of rope is to be 8 feet long. Determine whether she has enough rope for her 22-student class. Determine the amount extra or the amount short.2. Randy Moss of the
Find the average of each list of numbers. 1. 37, 26, 15, 29, 51, 22 2. 121, 200, 185, 176, 163 3. 92, 96, 90, 85, 92, 79
The normal monthly temperatures in degrees Fahrenheit for Salt Lake City, Utah, are given in the graph. Use this graph to answer in below Exercise.Find the average temperature for October, November, and December.
Perform each indicated operation. Watch the operation symbol. 1. 23 + 407 + 92 + 7011 2. 712 × 54 3. 712 ..- 54 4. 0 / 23 5. 304 ÷ 31
Evaluate. 1. 622. 633. 354. 1125. 81
Write using exponential notation.1. 5 · 5 · 5 · 52. 6 · 6 · 6 · 6 · 6 · 6 · 63. 10 · 10 · 104. 4 · 4 · 3 · 3 · 35. 7 · 4 · 4 · 4
Evaluate.1. 542. 333. 434. 435. 112
Evaluate.1. 1032. 1413. 454. 5 · 325. 2 · 72
Simplify.1. 24 + 6 · 32. 100 ÷ 10 · 5 + 43. 42 ÷ 7 - 64. 32 + 8/35. 3 · 4 + 9 · 1
Simplify. 1. 6 + 9 ÷ 3 / 322. 62 · (10 - 8)3. 53 ÷ (10 + 152) + 92 + 334. 40 + 8 / 52 - 325. (19 - 7) · (12 + 18)
Simplify.1.2. 18 - 7 Ã· 03. 23 Â· 3 - (100 Ã· 10)4. [40 - (8 - 2)] - 255. (18 Ã· 6) + [(3 + 5) Â· 2]
Simplify. 1. 35 Ã· [32 + (9 - 7) - 22 ] + 10 Â· 32.3.4. 10 Ã· 2 + 33 Â· 2 - 205. [15 Ã· (11 - 6) + 22] + (5 - 1)2
Find the area and perimeter of each square.1.2.
Answer the following true or false. See the Concept Check in this section. 1. "Seven squared" is the same as 72. 2. 49 is the same as 4 · 9.
Insert grouping symbols (parentheses) so that each given expression evaluates to the given number. 1. 2 + 3 · 6 - 2; evaluates to 20 2. 24 ÷ 3 · 2+ 2 · 5; evaluates to 15 3. The building contractor from Exercise 99 plans to charge $4 per foot for installing vinyl gutters. Find the total charge
Complete the table. The first row has been done for you. 1.2.3.
Evaluate each following expression for x = 2, y = 5, and z = 3. 1. 3yz2 + 12. 3 + (2y - 4)3. x4 - ( y - ɀ)4. 8yz / 155. 6 + 3x / z
Evaluate each following expression for x = 2, y = 5, and z = 3.1. 2z + 6 /32. 70 / 2y - 15 / z3. 3x+ + 2x - 54. (4y + 3z)25. (xy - 5)4
Evaluate each following expression for x = 2, y = 5, and z = 3.1. 3x(y + z)2. xz(2y + x - z)3. 6z + 2y / 44. The expression 5 (F - 32) / 9 gives the equivalent degrees Celsius for F degrees Fahrenheit. Complete the table by evaluating this expression for each given value of F.
Decide whether the given number is a solution of the given equation. See Example 6. 1. Is 9 a solution of n - 2 = 7? 2. Is 50 a solution of 250 = 5n? 3. Is 8 a solution of 11n + 3 = 91? 4. Is 0 a solution of 5(n + 9) = 40? 5. Is 2 a solution of 3x - 6 = 5x - 10?
Determine which numbers in each set are solutions to the corresponding equations. 1. n + 3 = 16; {9, 11, 13} 2. 3n = 45; {15, 30, 45} 3. 4n - 14 = 6; { 0, 5,10} 4. 6( n + 2 ) = 23; { 1, 3, 5} 5. 9x - 15 = 5x + 1; { 2, 4, 5}
Write each phrase as a variable expression. Use x to represent "a number." See Example 8. 1. The sum of three and a number 2. The difference of a number and five hundred 3. A number less thirty 4. A number times twenty 5. A number divided by 11
Write each phrase as a variable expression. Use x to represent "a number." See Example 8. 1. The quotient of twenty and a number, decreased by three 2. The difference of twice a number, and four 3. Twelve subtracted from a number 4. The sum of a number and 7 5. The product of a number and 7
Evaluate each following expression for x = 2, y = 5, and z = 3.1. 8 + 3ɀ2. 4yz + 2x3. x + 5y - ɀ4. 2y + 5z5. y3 - z
For Exercises 89 through 92, use a calculator to evaluate each expression for x = 23 and y = 72.1. 90. 2(x + y)22. 16y - 20x + x33. If x is a whole number, which expression is the smallest: 2x, 5x, or x/3? Explain your answer.4. In Exercise 44, what do you notice about the value of 5(F - 32) / 9 as
Represent each quantity by an integer. See Example 1.1. A scuba diver is swimming 25 feet below the surface of the water in the Gulf of Mexico.2. The lowest elevation in the United States is found at Death Valley, California, at an elevation of 282 feet below sea level.3. The record high
Represent each quantity by an integer. See Example 1 1. Rite Aid had a loss of $555 million for the fiscal year 2011. 2. The temperature on one January day in Minneapolis was 10° below 0° Celsius. Represent this quantity by an integer and tell whether this temperature is cooler or warmer than 5°
Answer true or false for below Exercises.1. The absolute value of a number is always a positive number.2. Zero is always less than a positive number.3. Given the number line is it true that b 6
Graph each integer in the list on the same number line. See Example 2.1. 7, 5, 2, 02. 3, -3, 5, -5, 6 3. 0, 3, 10, 11 4. 0, -7, 3, -6
Fill in the chart below1.2.
The bar graph shows the elevations of selected lakes.1. Which lake has an elevation at sea level? 2. Which lake shown has the second-lowest elevation?
The following bar graph represents the boiling temperature, the temperature at which a substance changes from liquid to gas at standard atmospheric pressure. Use this graph to answer below Exercises.1. Which element has the lowest boiling temperature? 2. Which element has an average boiling
Add using a number line.1. -6 + (-5)2. 10 + (-3)3. 9 + (-4)
Evaluate x + y for the given replacement values. 1. x = 7 and y = -11
Evaluate 3x + y for the given replacement values. 1. 62 x = 7 and y = -112. x = 13 and y = -17
Translate each phrase; then simplify. See Example 18. 1. Find the sum of -30 and 15. 2. Find the sum of - 49, -2, and 40.
Suppose a diver dives from the surface to 248 meters below the surface and then swims up 8 meters, down 16 meters, down another 28 meters, and then up 32 meters. Use positive and negative numbers to represent this situation. Then find the diver's depth after these movements.
In golf, it is possible to have positive and negative scores. The following table shows the results of the eighteen-hole Round 2 for Jim Furyk and Jason Dufner at the 2013 PGA Championship in Rochester, New York. Use the table to answer in below Exercise. In golf, the lower score is the winner. Use
The following bar graph shows the yearly net income for Apple, Inc. Net income is one indication of a company's health. It measures revenue (money taken in) minus cost (money spent). Use this graph to answer in below Exercises.1. What was the net income (in dollars) for Apple, Inc. in 2001? 2. Find
A small business reports the following net incomes. Use this table to answer Exercises 79 and 80.1. Find the sum of the net incomes for all four years shown. 2. The all-time record low temperature for California is -45°F. In Pennsylvania, the lowest temperature ever recorded is 3°F higher
For below Exercises determine whether each statement is true or false.1. The sum of two positive numbers is always a positive number.2. The sum of zero and a negative number is always a negative number.
Determine whether each statement is true or false.1. | -2 -(-6)|= |-2| - |-6|
Evaluate 2x - y for the given replacement values.1. x = 8 and y = -102. x = 14 and y -12
The bar graph shows the monthly average temperatures in Fairbanks, Alaska. Notice that a negative temperatures is illustrated by a bar below the horizontal line representing 0°F1. Find the difference in temperature between the months of November and December. 2. Find the difference in
1. The coldest temperature ever recorded in the United States was -80°F in Alaska. The warmest temperature ever recorded was 134°F in California. How many degrees warmer is 134°F than -80°F? 2. A woman received a statement of her charge account at Old Navy. She spent $93 on purchases last
Some places on Earth lie below sea level, which is the average level of the surface of the oceans.1. Find the difference in elevation between the Danakil and Turfan Depressions. 2. Find the difference in elevation between the highest elevation shown and the lowest elevation shown.
Find the difference in elevation for the lakes listed.1. Great Bear Lake and Caspian Sea 2. Lake Eyre and Caspian Sea
1. The average daytime surface temperature of Mercury is 845°F, while the average daytime surface temperature of Jupiter is -162°F. Find the difference in temperatures. 2. In 2012, the United States exported 1165 million barrels of petroleum products and imported 3878 million barrels of petroleum
Translate each phrase to an algebraic expression. Use "x" to 1. The difference of -3 and a number. 2. Add a number and -36.
Translate each phrase; then simplify. See Example 17. 1. Find the quotient of -63 and -3. 2. Find the product of -49 and 5.
Translate each phrase to an expression. Use x to represent "a number." 1. The quotient of -8 and a number 2. The sum of a number and -12 3. The difference of a number and -10 4. Multiply a number by -17.
1. An investor lost $400 on each of seven consecutive days in the stock market. Represent his total loss as a product of signed numbers and find his total loss. 2. A weather forecaster predicts that the temperature will drop five degrees each hour for the next six hours. Represent this drop as a
1. The melting point of rubidium is -1 times the melting point of mercury. Find the melting point of rubidium.2. The melting point of strontium is -11 times the melting point of radon. Find the melting point of strontium.
1. For the first quarter of 2013, Chrysler Group LLC, maker of Jeep vehicles, posted a loss of about 30,000 Jeep Liberty shipments because they had stopped producing the vehicle in 2012. If this trend was consistent for each month of the quarter, how much would you expect this loss to have been for
For below Exercises, see the first Concept Check in this section. What is the sign of the product of ten negative numbers?
Scores in golf can be 0 (also called par), a positive integer (also called above par), or a negative integer (also called below par). The bar graph shows final scores of selected golfers from a 2013 tournament. Use this graph for following Exercises.1. Find the difference between the two lowest
Find the perimeter of each figure. See Section 1.3.1.2.
Insert parentheses where needed so that each expression evaluates to the given number. 1. 7 · 3 - 4 · 2; evaluates to 34 2. 2 ·8 ÷ - 20; evaluates to -36
Determine whether the given number is a solution of the given equation. See Example 1. 1. Is 9 a solution of y - 16 = -7? 2. Is -7 a solution of a + 23 = -16? 3. Is -6 a solution of -3k = 12-5? 4. Is 1 a solution of 2(b-3) =10?
Translate each phrase to an algebraic expression. Use x to represent "a number." See Section 1.8. 1. A number increased by -5 2. The quotient of a number and -20 3. -32 multiplied by a number 4. Subtract a number from -18.
Represent each quantity by an integer.1. A gold miner is working 1572 feet down in a mine.2. Mount Hood, in Oregon, has an elevation of 11,239 feet.
1. Wednesday's lowest temperature was -18°C. The cold weather continued and by Friday, it had dropped another 9°C. What was the temperature on Friday? 2. The temperature at noon on a Monday in December was -11°C. By noon on Tuesday, it had warmed by 17°C. What was the temperature at noon on
Find the opposite of each integer. 1. -18 2. 42
Answer true or false for each statement. 1. If a < b, then a must be a negative number. 2. The absolute value of an integer is always 0 or a positive number. 3. A negative number is always less than a positive number. 4. If a is a negative number, then -a is a positive number.
Graph each integer in the list on the same number line.1. -3, -5, 0, 72. -6, -1, 0, 5
Elevator shafts in some buildings extend not only above ground, but in many cases below ground to accommodate basements, underground parking, etc. The bar graph shows four such elevators and their shaft distance above and below ground. Use the bar graph to answer following Exercises.1. Which
1. The temperature at 5 a.m. on a day in January was -15° Celsius. By 6 a.m. the temperature had fallen 5 degrees. Use a signed number to represent the temperature at 6 a.m. 2. A diver starts out at 127 feet below the surface and then swims downward another 23 feet. Use a signed number to
1. If the elevation of Lake Superior is 600 feet above sea level and the elevation of the Caspian Sea is 92 feet below sea level, find the difference of the elevations.2. Josh Weidner has $142 in his checking account. He writes a check for $125, makes a deposit of $43, and then writes another check
1. A football team lost 5 yards on each of two consecutive plays. Represent the total loss by a product of integers, and find the product. 2. A horse race bettor lost $50 on each of four consecutive races. Represent the total loss by a product of integers, and find the product 3. A person has a
Write the expression that represents the area of each composite figure. Then simplify to find the total area.
Simplify the following 761268x + 5922 - 2960
Find the perimeter of each figure. See Example 14.1.2. 3.
Find the area of each rectangle. See Example 15.1.2. 3.
1. Find the area of a rectangular movie screen that is 50 feet long and 40 feet high. 2. How much fencing will a rancher need for a rectangular cattle lot that measures 80 feet by 120 feet? 3. Find the perimeter of a triangular picture frame that measures x inches by x inches by (x - 14) inches.
Write each phrase as a variable expression. Use x to represent "a number." 1. Negative eight plus a number 2. A number subtracted from twelve 3. Twice a number 4. The quotient of negative six and a number 5. Negative four times a number, increased by 18
Write each phrase as a variable expression. Use x to represent "a number."1. Twice a number, decreased by thirty2. The product of 7 and a number, added to 1003. The difference of -9 times a number, and 14. Twice the sum of a number and -55. The quotient of ten times a number and -4
This horizontal bar graph shows the top ten states for traveler spending in a recent year. Use this graph to answer in below Exercises. See Sections 1.2 and 1.3.1. For the states shown, which states have traveler amounts less than $20 billion? 2. What is the combined spending for the two largest
Write each sentence as an equation. See Example 5. 1. The difference of -30 and 10 equals -40 2. The quotient of -16 and 2 yields -8. 3. Negative 2 times the sum of 3 and 12 is -30. 4. Seventeen subtracted from -12 equals -29.
The following bar graph shows the number of U.S. federal individual income tax returns that are filed electronically during the years shown. Electronically filed returns include Telefile and online returns. Use this graph to answer following Exercises. Write number answers in standard form. See
Using the Steps for Solving an Equation, choose the next operation for solving the given equation 1. 3x + 2x = -x - 4 a. Add 4 to both sides. b. Subtract 2x from both sides. c. Add 3x and 2x. 2. 9 - 5x = 15 a. Divide both sides by -5. b. Subtract 15 from both sides. c. Subtract 9 from both sides.
Translate each sentence into an equation. Then solve the equation. See Example 2. 1. Twice a number, subtracted from 60, is 20. Find the number. 2. The sum of 7, 9, and a number is 40. Find the number. 3. Eight decreased by a number equals the quotient of 15 and 5. Find the number. 4. The product
Write each sentence as an equation. Use x to represent "a number." See Example 1. 1. Five subtracted from a number equals 10. 2. The quotient of 8 and a number is -2. 3. Two added to twice a number gives -14. 4. Five times a number is equal to -75. 5. Twice the sum of -17 and a number is -14.
Translate each sentence into an equation. Then solve the equation. See Example 2. 1. Seven times the difference of some number and 1 gives the quotient of 70 and 10. Find the number. 2. Twice a number equals 25 less triple that same number. Find the number.

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