Mathematics Homework Help - MathHelp.com- 1000+ Online Math Lessons - By MathHelp.com
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| 00:0-1 | The following is a selected video from your teacher.com where | |
| 00:03 | you can browse over 450 complete math lessons with example | |
| 00:07 | videos , interactive practice problems , self tests and more | |
| 00:11 | . Try a complete lesson today at your teacher dot | |
| 00:14 | com . To solve for X . In each proportion | |
| 00:21 | , we simply use the means extremes property . So | |
| 00:26 | in part A since 5/4 equals X over 12 . | |
| 00:32 | We know that the product of the extremes five times | |
| 00:36 | 12 equals the product of the means four times X | |
| 00:45 | . So we have five times 12 or 60 Equals | |
| 00:50 | four times x or four x . and dividing both | |
| 00:55 | sides by four , 15 equals X . In part | |
| 01:05 | B , the product of the extremes , X minus | |
| 01:09 | five times three or three times X -5 equals the | |
| 01:16 | product of the means X plus four times two Or | |
| 01:21 | two times x plus four . Notice that we put | |
| 01:26 | the x minus five in the X plus four in | |
| 01:30 | parentheses . Now distributing on both sides of the equation | |
| 01:35 | , we have three X -15 equals two x plus | |
| 01:43 | eight And subtracting two X from both sides . Mhm | |
| 01:49 | gives us x minus 15 equals eight And adding 15 | |
| 01:56 | to both sides . Yeah , We find that x | |
| 02:03 | equals 23 . Finally , it's a good idea to | |
| 02:10 | check the answer in these types of problems . For | |
| 02:14 | example , if we plug a 23 back in for | |
| 02:18 | the X . In part B , We have 23 | |
| 02:24 | -5 over 23 plus four equals two thirds , or | |
| 02:33 | 18 Over 27 equals 2/3 . An 18/27 equals two | |
| 02:42 | thirds is a true statement because 18/27 reduces to two | |
| 02:49 | thirds . So our answer checks . |
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