![willjean7027](/avatars/12241.jpg)
willjean7027
07.07.2019 •
Mathematics
Sara bought two board of wood for a club project. one board is 18 inches long, and the other board is 30 inches long. she wants to cut the wood into the longest equal-sized pieces possible with no wood left over sara wonders if she has enoughwood for ten equal-sized pieces.
Solved
Show answers
More tips
- S Style and Beauty Tricks and Tips: How to Get Rid of Freckles...
- H Health and Medicine What is Autism? Understanding the Basics of This Neurodevelopmental Disorder...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- F Food and Cooking Which Calamari Salad is the Most Delicious?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- S Style and Beauty How to braid friendship bracelets?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- C Computers and Internet How to Learn to Type Fast?...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
Answers on questions: Mathematics
- M Mathematics Please help with this. I only need help with the first question I have the second one figured out,...
- H History Which countries or social classes (rich vs. poor) do you predict will suffer the most as a result of World War I? Who will benefit? Explain why using evidence....
- M Mathematics Ryan notes that dividing x^2/ the square root of 2 will not yield a polynomial. Is Ryan correct? Explain....
- E English How does the story Examination Day take place in the future?...
- M Mathematics Someone me on thisbrainliest available : )...
Ответ:
No, Sara can only cut 8 equal-sized pieces with maximum longitude and no wood left over.
Step-by-step explanation:
For finding which longitude meets the requirements (to be the longest with no wood left over) we must decompose 18 and 30 in their prime factors.
For doing so, we look for the prime numbers that divide 18 and 30, as follows
18 | 2 30 | 2
9 | 3 15 | 3
3 | 3 5 | 5
1 1
Thus 18=2*3*3, and 30=2*3*5.
The maximun number that divides both 18 and 30 must be 2*3=6, because these are the prime numbers that both decompositions have in common.
6 represents the maximum longitude for a piece of wood with no leftovers.
Since 18/6=3, and 30/6=5, we can only obtain 5+3=8 wood pieces from the boards.
Of course, we can cut in a half the 8 pieces obtaining 16 equal-sized pieces of wood, but unfortunately, they won't be the longest pieces possible.
Ответ:
Ответ:
It was established in 1935 by the American geologist Charles Francis Richter. This is a so-called logarithmic scale: an earthquake reaching 5 on the Richter scale is in fact 10 times more powerful than an earthquake of magnitude 4. In principle, this scale has no upper limit
Hope it helps a bit
Byye and don’t forget I’m proud of you!!<333