Answer:1/6
Step-by-step explanation:
distance = rate * time
2.56 meters = 2meter/min * t
divide by 2 on each side
2.56/2 =t
1.28 minutes =t
Find the prime factorization of each value.
21 is 7*3
30 is 3*10 which can be further broken down into 3*2*5
44 is 4*11 which can be further broken down into 2*2*11
What do they share in common?
21 and 30 each have a 3 in common.
Therefore the GCF(21, 30) = 3.
21 and 44 share a 2 in common.
But if we're looking at all three of them together, they share nothing in common.
Let C = the Chinese books.
Let E = the English language books.
C = 4/5 E
E - 300 = C - 180 Notice how you get this equation. You take 300 away from the English books and 180 from the Chinese and according to the question, you get an equal number of both. Put c = 4/5E into the second equation.
E - 300 = 4/5 E - 180 Add 300 to both sides.
E = 4/5 E - 180 + 300
E = 4/5 E + 120 Now subtract 4/5 E from both sidies.
E - 4/5 E = 120
1/5 E = 120 Now multiply by 5
E = 120 * 5
E = 600
So the number of books are
600 written in English
4/5 of 600 = 2400 /5 = 480 Chinese books.
English 600
Chinese 480
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles
