Page 253 - Basic College Mathematics with Early Integers

230 C HAPTE R 3 I FRACTIONS

Translating Translate each phrase to an algebraic expression. Use “x” to represent “a number.” See Examples 10 and 11.

1 2
73. The sum of a number and 74. A number increased by -
2 5
3 7
75. A number subtracted from - 76. The difference of a number and
8 20

Solve. For Exercises 77 and 78, the solutions have been started for you. See Examples 10 and 11.

77. The slowest mammal is the three-toed sloth from 78. Killer bees have been known to chase people for up
South America.The sloth has an average ground 1
to of a mile, while domestic European honeybees
1 4
speed of mph. In the trees, it can accelerate to
10 will normally chase a person for no more than 100
17 5
mph. How much faster can a sloth travel in the feet, or of a mile. How much farther will a killer
100 264
trees? (Source:The Guiness Book of World Records) bee chase a person than a domestic honeybee?
Start the solution: (Source: Coachella Valley Mosquito & Vector Control
District)
1. UNDERSTAND the problem. Reread it as many
times as needed. Start the solution:
2. TRANSLATE into an equation. (Fill in the blanks.) 1. UNDERSTAND the problem. Reread it as many
times as needed.
how much sloth sloth
faster sloth is speed in minus speed on 2. TRANSLATE into an equation. (Fill in the blanks.)
travels in trees trees ground how much
distance distance
T T T T T farther killer is killer bee minus honeybee
bee will chase
how much than honeybee chases chases
faster sloth = -
travels in trees T T T T T
how much
Finish with: farther killer = -
3. SOLVE. bee will chase
than honeybee
4. INTERPRET.
Finish with
3. SOLVE.
4. INTERPRET.

79. Find the inner diameter of the washer. 80. Find the inner diameter of the tubing.
Inner
Inner diameter
diameter

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3 3
16 inch 16 inch
1 inch Ω inch Ω inch

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