Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 893. 86° FahrenheitIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 894. 77º FahrenheitIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 895. 104° FahrenheitIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 896. 14° FahrenheitIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 897. 72° FahrenheitIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 898. 4° FahrenheitIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 899. 0º FahrenheitIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 900. 120º FahrenheitIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 901. 5° CelsiusIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 902. 25° CelsiusIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 903. 10oCelsiusIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 904. 15° CelsiusIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 905. 22° CelsiusIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 906. 8° CelsiusIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 907. 43° CelsiusIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth. 908. 16° CelsiusNutrition Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?Reflectors The reflectors in each lane-marking stripe on a highway are spaced 16 yards apart. How many reflectors are needed for a one mile long lane-marking stripe?Some people think that 65°to75° Fahrenheit is the ideal temperature range. (a) What is your ideal temperature range? Why do you think so? (b) Convert your ideal temperatures from Fahrenheit to Celsius.(a) Did you grow up using the U.S. or the metric system of measurement? (b) Describe two examples in your life when you had to convert between the two systems of I measurement.In the following exercises find the place value of each digit. 913. 26,915 (a) 1 (b) 2 (c) 9 (d) 5 (e) 6In the following exercises find the place value of each digit. 914. 359,417 (a) 9 (b) 3 (c) 4 (d) 7 (e) 1In the following exercises find the place value of each digit. 915. 58,129,304 (a) 5 (b) 0 (c) 1 (d) 8 (e) 2In the following exercises find the place value of each digit. 916. 9,430,286,157 (a) 6 (b) 4 (c) 9 (d) 0 (e) 5In the following exercises, name each number. 917. 6,104In the following exercises, name each number. 918. 493,068In the following exercises, name each number. 919. 3,975,284In the following exercises, name each number. 920. 85,620,435In the following exercises, write each number as a whole number using digits. 921. three hundred fifteenIn the following exercises, write each number as a whole number using digits. 922. sixty-five thousand, nine hundred twelveIn the following exercises, write each number as a whole number using digits. 923. ninety million, four hundred twenty-five thousand, sixteenIn the following exercises, write each number as a whole number using digits. 924. one billion, forty-three million, nine hundred twenty-two thousand, three hundred elevenIn the following exercises, round to the indicated place value. 925. Round to the nearest ten. (a) 407 (b) 8,564In the following exercises, round to the indicated place value. 926. Round to the nearest hundred. (a) 25,846 (b) 25,864In the following exercises, round each number to the nearest (a) hundred (b) thousand (c) ten thousand. 927. 864,951In the following exercises, round each number to the nearest (a) hundred (b) thousand (c) ten thousand. 928. 3,972,849In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10. 929. 168In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10. 930. 264In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10. 931. 375In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10. 932. 750In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10. 933. 1430In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10. 934. 1080In the following exercises, find the prime factorization. 935. 420In the following exercises, find the prime factorization. 936. 115In the following exercises, find the prime factorization. 937. 225In the following exercises, find the prime factorization. 938. 2475In the following exercises, find the prime factorization. 939. 1560In the following exercises, find the prime factorization. 940. 56In the following exercises, find the prime factorization. 941. 72In the following exercises, find the prime factorization. 942. 168In the following exercises, find the prime factorization. 943. 252In the following exercises, find the prime factorization. 944. 391In the following exercises, find the least common multiple of the following numbers using the multiples method. 945. 6,15In the following exercises, find the least common multiple of the following numbers using the multiples method. 946. 60, 75In the following exercises, find the least common multiple of the following numbers using the prime factors method. 947. 24, 30In the following exercises, find the least common multiple of the following numbers using the prime factors method. 948. 70, 84In the following exercises, translate the following from algebra to English. 949. 257In the following exercises, translate the following from algebra to English. 950. 56In the following exercises, translate the following from algebra to English. 951. 455In the following exercises, translate the following from algebra to English. 952. x+8In the following exercises, translate the following from algebra to English. 953. 4227In the following exercises, translate the following from algebra to English. 954. 3n=24In the following exercises, translate the following from algebra to English. 955. 3204In the following exercises, translate the following from algebra to English. 956. a74In the following exercises, determine if each is an expression or an equation. 957. 63+5In the following exercises, determine if each is an expression or an equation. 958. y8=32In the following exercises, simplify each expression. 959. 35In the following exercises, simplify each expression. 960. 108In the following exercises, simplify 961. 6+10/2+2In the following exercises, simplify 962. 9+12/3+4In the following exercises, simplify 963. 20(4+6)5In the following exercises, simplify 964. 33(3+8)2In the following exercises, simplify 965. 42+52In the following exercises, simplify 966. (4+5)2In the following exercises, evaluate the following expressions. 967. 9x+7 when x=3In the following exercises, evaluate the following expressions. 968. 5x4 when x=6In the following exercises, evaluate the following expressions. 969. x4 when x=3In the following exercises, evaluate the following expressions. 970. 3x when x=3In the following exercises, evaluate the following expressions. 971. x2+5x8 when x=6In the following exercises, evaluate the following expressions. 972. 2x+4y5 when x=7,y=8In the following exercises, identify the coefficient of each term. 973. 12nIn the following exercises, identify the coefficient of each term. 974. 9x2In the following exercises, identify the like terms. 975. 3n, n2, 12, 12p2, 3, 3n2In the following exercises, identify the like terms. 976. 5, 18r2, 9s, 9r, 5r2, 5sIn the following exercises, identify the terms in each expression. 977. 11x2+3x+6In the following exercises, identify the terms in each expression. 978. 22y3+y+15In the following exercises, simplify the following expressions by combining like terms. 979. 17a+9aIn the following exercises, simplify the following expressions by combining like terms. 980. 18z+9zIn the following exercises, simplify the following expressions by combining like terms. 981. 9x+3x+8In the following exercises, simplify the following expressions by combining like terms. 982. 8a+5a+9In the following exercises, simplify the following expressions by combining like terms. 983. 7p+6+5p4In the following exercises, simplify the following expressions by combining like terms. 984. 8x+7+4x5In the following exercises, translate the following phrases into algebraic expressions. 985. the sum of 8 and 12In the following exercises, translate the following phrases into algebraic expressions. 986. the sum of 9 and 1In the following exercises, translate the following phrases into algebraic expressions. 987. the difference of x and 4In the following exercises, translate the following phrases into algebraic expressions. 988. the difference of x and 3In the following exercises, translate the following phrases into algebraic expressions. 989. the product of 6 and yIn the following exercises, translate the following phrases into algebraic expressions. 990. the product of 9 and yIn the following exercises, translate the following phrases into algebraic expressions. 991. Adele bought a skirt and a blouse. The skirt cost $15 more than the blouse. Let b represent the cost of the blouse. Write an expression for the cost of the skirt.In the following exercises, translate the following phrases into algebraic expressions. 992. Marcella has 6 fewer boy cousins than girl cousins. Let g represent the number of girl cousins. Write an expression for the number of boy cousins.In the following exercises, order each of the following pairs of numbers, using < or >. 993. (a) 6___2 (b) 7 ___4 (c) 9 1 (d) 9___ 3In the following exercises, order each of the following pairs of numbers, using < or >. 994. (a) 5 ___1 (b) 4 ___ 9 (c) 6___10 (d) 3___ 8In the following exercises,, find the opposite of each number. 995. (a) 8 (b) 1In the following exercises,, find the opposite of each number. 996. (a) 2 (b) 6In the following exercises, simplify. 997. (19)In the following exercises, simplify. 998. (53)In the following exercises, simplify. 999. m when (a) m=3 (b) m=3In the following exercises, simplify. 1000. p when (a) p=6 (b) p=6In the following exercises,, simplify. 1001. (a) |7| (b) |25| (d) |0|In the following exercises,, simplify. 1002. (a) |5| (b) |0| (c) |19|In the following exercises, fill in <, >, or = for each of the following pairs of numbers. 1003. (a) 8 ___ |8| (b) |2| ___ 2In the following exercises, fill in <, >, or = for each of the following pairs of numbers. 1004. (a) |3| ___ |3| (b) 4___ |4|In the following exercises, simplify. 1005. |84|In the following exercises, simplify. 1006. |96|In the following exercises, simplify. 1007. 8(142|2|)In the following exercises, simplify. 1008. 6(134|2|)In the following exercises, evaluate. 1009. (a) |x| when x=28 (b)In the following exercises, evaluate. 1010. (a) |y| when y=37 (b) |z| when z=24In the following exercises, simplify each expression. 1011. 200+65In the following exercises, simplify each expression. 1012. 150+45In the following exercises, simplify each expression. 1013. 2+(8)+6In the following exercises, simplify each expression. 1014. 4+(9)+7In the following exercises, simplify each expression. 1015. 140+(75)+67In the following exercises, simplify each expression. 1016. 32+24+(6)+10In the following exercises, simplify. 1017. 93In the following exercises, simplify. 1018. 5(1)In the following exercises, simplify. 1019. (a) 156 (b) 15+(6)In the following exercises, simplify. 1020. (a) 129 (b) 12+(9)In the following exercises, simplify. 1021. (a) 8(9) (b) 8+9In the following exercises, simplify. 1022. (a) 4(4) (b) 4+4In the following exercises, simplify each expression. 1023. 10(19)In the following exercises, simplify each expression. 1024. 11(18)In the following exercises, simplify each expression. 1025. 3179In the following exercises, simplify each expression. 1026. 3981In the following exercises, simplify each expression. 1027. 3111In the following exercises, simplify each expression. 1028. 3218In the following exercises, simplify each expression. 1029. 15(28)+5In the following exercises, simplify each expression. 1030. 71+(10)8In the following exercises, simplify each expression. 1031. 16(4+1)7In the following exercises, simplify each expression. 1032. 15(6+4)3In the following exercises, multiply. 1033. 5(7)In the following exercises, multiply. 1034. 8(6)In the following exercises, multiply. 1035. 18(2)In the following exercises, multiply. 1036. 10(6)In the following exercises, divide. 1037. 287In the following exercises, divide. 1038. 56(7)In the following exercises, divide. 1039. 120(20)In the following exercises, divide. 1040. 20025In the following exercises, simplify each expression. 1041. 8(2)3(9)In the following exercises, simplify each expression. 1042. 7(4)5(3)In the following exercises, simplify each expression. 1043. (5)3In the following exercises, simplify each expression. 1044. (4)3In the following exercises, simplify each expression. 1045. 4211In the following exercises, simplify each expression. 1046. 5310In the following exercises, simplify each expression. 1047. 10(4)(8)In the following exercises, simplify each expression. 1048. 8(6)(4)In the following exercises, simplify each expression. 1049. 314(39)In the following exercises, simplify each expression. 1050. 243(210)In the following exercises, evaluate each expression. 1051. x+8 when (a) x=26 (b) x=95In the following exercises, evaluate each expression. 1052. y+9 when (a) y=29 (b) y=84In the following exercises, evaluate each expression. 1053. When b=11 , evaluate: (a) b+6 (b) b+6In the following exercises, evaluate each expression. 1054. When c=9 , evaluate: (a) c+(4) (b) c+(4)In the following exercises, evaluate each expression. 1055. p25p+2 when p=1In the following exercises, evaluate each expression. 1056. q22q+9 when q=2In the following exercises, evaluate each expression. 1057. 6x5y+15 when x=3 and y=1In the following exercises, evaluate each expression. 1058. 3p2q+9 when p=8 and q=2In the following exercises, translate to an algebraic expression and simplify if possible. 1059. the sum of 4 and 17 , increased by 32In the following exercises, translate to an algebraic expression and simplify if possible. 1060. (a) the difference of 15 and 7 (b) subtract 15 from 7In the following exercises, translate to an algebraic expression and simplify if possible. 1061. the quotient of 45 and 9In the following exercises, translate to an algebraic expression and simplify if possible. 1062. the product of 12 and the difference of c and dIn the following exercises, solve. 1063. Temperature The high temperature one day in Miami Beach, Florida, was 76°. That same day, the high temperature in Buffalo, New York was 8 . What was the difference between the temperature in Miami Beach and the temperature in Buffalo?In the following exercises, solve. 1064. Checking Account Adrianne has a balance of 22 in her checking account. She deposits $301 to the account. What is the new balance?In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra. 1065. 14In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra. 1066. 13In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra. 1067. 56In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra. 1068. 27In the following exercises, simplify. 1069. 721In the following exercises, simplify. 1070. 824In the following exercises, simplify. 1071. 1520In the following exercises, simplify. 1072. 1218In the following exercises, simplify. 1073. 168192In the following exercises, simplify. 1074. 140224In the following exercises, simplify. 1075. 11x11yIn the following exercises, simplify. 1076. 15a15bIn the following exercises, multiply. 1077. 2513In the following exercises, multiply. 1078. 1238In the following exercises, multiply. 1079. 712(821)In the following exercises, multiply. 1080. 512(815)In the following exercises, multiply. 1081. 28p(14)In the following exercises, multiply. 1082. 51q(13)In the following exercises, multiply. 1083. 145(15)In the following exercises, multiply. 1084. 1(38)In the following exercises, divide. 1085. 1214In the following exercises, divide. 1086. 1218In the following exercises, divide. 1087. 4547In the following exercises, divide. 1088. 3435In the following exercises, divide. 1089. 58a10In the following exercises, divide. 1090. 56c15In the following exercises, divide. 1091. 7p1221p8In the following exercises, divide. 1092. 5q1215q8In the following exercises, divide. 1093. 25(10)In the following exercises, divide. 1094. 18(92)In the following exercises, simplify. 1095. 2389In the following exercises, simplify. 1096. 45815In the following exercises, simplify. 1097. 9103In the following exercises, simplify. 1098. 258In the following exercises, simplify. 1099. r5s3In the following exercises, simplify. 1100. x689In the following exercises, simplify. 1101. 4+118In the following exercises, simplify. 1102. 9+37In the following exercises, simplify. 1103. 30712In the following exercises, simplify. 1104. 1549In the following exercises, simplify. 1105. 22141913In the following exercises, simplify. 1106. 15+918+12In the following exercises, simplify. 1107. 5810In the following exercises, simplify. 1108. 3424In the following exercises, simplify. 1109. 15552210In the following exercises, simplify. 1110. 12932318In the following exercises, simplify. 1111. 2+4(3)322In the following exercises, simplify. 1112. 7+3(5)232In the following exercises, translate each English phrase into an algebraic expression. 1113. the quotient of c and the sum of d and 9.In the following exercises, translate each English phrase into an algebraic expression. 1114. the quotient of the difference of h and k, and 5 .In the following exercises, add. 1115. 49+19In the following exercises, add. 1116. 29+59In the following exercises, add. 1117. y3+23In the following exercises, add. 1118. 7p+9pIn the following exercises, add. 1119. 18+(38)In the following exercises, add. 1120. 18+(58)In the following exercises, subtract. 1121. 4515In the following exercises, subtract. 1122. 4535In the following exercises, subtract. 1123. y17917In the following exercises, subtract. 1124. x19819In the following exercises, subtract. 1125. 8d3dIn the following exercises, subtract. 1126. 7c7cIn the following exercises, add or subtract. 1127. 13+15In the following exercises, add or subtract. 1128. 14+15In the following exercises, add or subtract. 1129. 15(110)In the following exercises, add or subtract. 1130. 12(16)In the following exercises, add or subtract. 1131. 23+34In the following exercises, add or subtract. 1132. 34+25In the following exercises, add or subtract. 1133. 111238In the following exercises, add or subtract. 1134. 58712In the following exercises, add or subtract. 1135. 916(45)In the following exercises, add or subtract. 1136. 720(58)In the following exercises, add or subtract. 1137. 1+56In the following exercises, add or subtract. 1138. 159In the following exercises, simplify. 1139. ( 1 5 )22+32In the following exercises, simplify. 1140. ( 1 3 )25+22In the following exercises, simplify. 1141. 23+123423In the following exercises, simplify. 1142. 34+125623In the following exercises, evaluate. 1143. x+12 when (a) x=18 (b) x=12In the following exercises, evaluate. 1144. x+23 when (a) x=16 (b) x=53In the following exercises, evaluate. 1145. 4p2q when p=12 and q=59In the following exercises, evaluate. 1146. 5m2n when m=25 and n=13In the following exercises, evaluate. 1147. u+vw when u=4,v=8,w=2In the following exercises, evaluate. 1148. m+np when m=6,n=2,p=4In the following exercises, write as a decimal. 1149. Eight and three hundredthsIn the following exercises, write as a decimal. 1150. Nine and seven hundredthsIn the following exercises, write as a decimal. 1151. One thousandthIn the following exercises, write as a decimal. 1152. Nine thousandthsIn the following exercises, name each decimal. 1153. 7.8In the following exercises, name each decimal. 1154. 5.01In the following exercises, name each decimal. 1155. 0.005In the following exercises, name each decimal. 1156. 0.381In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 1157. 5.7932In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 1158. 3.6284In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 1159. 12.4768In the following exercises, round each number to the nearest (a) hundredth (b) tenth (c) whole number. 1160. 25.8449In the following exercises, add or subtract. 1161. 18.37+9.36In the following exercises, add or subtract. 1162. 256.3785.49In the following exercises, add or subtract. 1163. 15.3520.88In the following exercises, add or subtract. 1164. 37.5+12.23In the following exercises, add or subtract. 1165. 4.2+(9.3)In the following exercises, add or subtract. 1166. 8.6+(8.6)In the following exercises, add or subtract. 1167. 10064.2In the following exercises, add or subtract. 1168. 10065.83In the following exercises, add or subtract. 1169. 2.51+40In the following exercises, add or subtract. 1170. 9.38+60In the following exercises, multiply. 1171. (0.3)(0.4)In the following exercises, multiply. 1172. (0.6)(0.7)In the following exercises, multiply. 1173. (8.52)(3.14)In the following exercises, multiply. 1174. (5.32)(4.86)In the following exercises, multiply. 1175. (0.09)(24.78)In the following exercises, multiply. 1176. (0.04)(36.89)In the following exercises, divide. 1177. 0.155In the following exercises, divide. 1178. 0.273In the following exercises, divide. 1179. 8.4912In the following exercises, divide. 1180. 16.999In the following exercises, divide. 1181. 120.08In the following exercises, divide. 1182. 50.04In the following exercises, write each decimal as a fraction. 1183. 0.08In the following exercises, write each decimal as a fraction. 1184. 0.17In the following exercises, write each decimal as a fraction. 1185. 0.425In the following exercises, write each decimal as a fraction. 1186. 0.184In the following exercises, write each decimal as a fraction. 1187. 1.75In the following exercises, write each decimal as a fraction. 1188. 0.035In the following exercises, convert each fraction to a decimal. 1189. 25In the following exercises, convert each fraction to a decimal. 1190. 45In the following exercises, convert each fraction to a decimal. 1191. 38In the following exercises, convert each fraction to a decimal. 1192. 58