warm – up #6. homework log thurs 12/3 lesson 4 – 7 learning objective: to simplify ratios, solve...
TRANSCRIPT
Warm – up #61. Find the inverse of
3x – 15 = –5y
Homework LogThurs
12/3
Lesson 4 – 7
Learning Objective: To simplify ratios, solve proportions, and convert units of measures
Hw: #408 Pg. 261 #1 – 18
12/3/15 Lesson 4 – 7 Ratios, Proportions, & Converting Day 1
Advanced Math/Trig
Learning Objective
To simplify ratios
To convert units of measures
To solve problems using proportions
Measurement Conversions
1 foot = 12 inches
1 yard = 3 feet
1 mile = 5280 feet
1 meter = 100 cm
1 km = 1000 m
1 pound = 16 ounces
1 ton = 2000 lbs
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 16 ounces
1 min = 60 secs
1 hour = 60 min
RatiosRatio of a to b
a:b or Quotient
***If 2 measures are the same type, need to same units!
1. 1 yard to 18 inches (both measure length)
= Or =
RatiosExpress each of the following ratios as a quotient
2. $20 to 5 tickets
3. 50 miles to minutes
=
= 4 dollars/ticket
= 50 miles
= 50 miles
50𝑚𝑖𝑙𝑒𝑠23𝑚𝑖𝑛𝑠
= 75 miles/min
Ratios4. Express 60 miles per hour in terms of feet per second.
1 mile = 5280 feet
1 hour = 60 min
1 min = 60 sec
= 88 ft/sec
Ratios5. Express 60 miles per hour in terms of yards per minute.
1 mile = 5280 feet
1 yard = 3 feet
1 hour = 60 min
= 1760 yd/min
ProportionsProportions – equality of two ratios
a is to b as c is to d
a:b = c:d
Or
Ratios6. If a car travels at a uniform rate of speed and travels 400 km in 8 hours, how far does it travel in 6 hours?
Word ratio
8x = 400(6) 8x = 2400= 300 km
Ratios7. If milk must be mixed with water at a ratio of 3:2, how many pints of milk must be used with 6 gallons of water?
Word ratio
2x = 48(3)2x = 144= 72 pints of milk
6 gal
= 48 pints of water
Ratios8. If two people divide $48 in a ratio of 3 to 5, how much money will each receive?
Word ratio
5x = 3(48 – x) 5x = 144 – 3x
8x = 144
Person 1 = x
Person 2 = 48 – x
$18 person 1 $30 person 2
Ratios9. If a mixture contains 30% water, how many ounces of water are in 16 ounces of the mixture?
Word ratio
100x = 30(16)
100x = 480 4.8 oz of water
Ticket Out the Door
If a mixture contains 40% alcohol, how many ounces of alcohol are in 6 ounces of the mixture?
Homework
#408 Pg. 261 #1 – 18