Answer:
It will take you 0.24 hour to ride to your grandparents’ home
It will take you 14 minutes to ride to your grandparents’ home
Step-by-step explanation:
- Your average speed is 15 miles per hour
- The distance to grandmother home is 3.67 miles
- You need to know how long it will take you to do that
∵ Distance = speed × time
∵ Distance = 3.67 miles
∵ Speed = 15 miles per hour
- Substitute these values in the rule above
∴ 3.67 = 15 × time
- Divide both sides by 15 to find the time
∴ Time = 0.24 hour
* It will take you 0.24 hour to ride to your grandparents’ home
- You need to convert the time from hour to minutes
∵ 1 hour = 60 minutes
∵ Time = 0.24 hour
∴ Time = 0.24 × 60 = 14.4
∴ Time ≅ 14 minutes
* It will take you 14 minutes to ride to your grandparents’ home
Solve for x:
2 (6 - x) = x (x + 5)
Expand out terms of the left hand side:
12 - 2 x = x (x + 5)
Expand out terms of the right hand side:
12 - 2 x = x^2 + 5 x
Subtract x^2 + 5 x from both sides:
-x^2 - 7 x + 12 = 0
Multiply both sides by -1:
x^2 + 7 x - 12 = 0
x = (-7 ± sqrt(7^2 - 4 (-12)))/2 = (-7 ± sqrt(49 + 48))/2 = (-7 ± sqrt(97))/2:
Answer: x = (-7 + sqrt(97))/2 or x = (-7 - sqrt(97))/2
To find out the number of necklaces that can be made from 72 and 42 beads, think of the Greatest Common Factor of both numbers
Factors of 72
1 × 72
2 × 36
3 × 24
4 × 18
6 × 12
8 × 9
Factors of 42
1 × 42
2 × 21
3 × 14
6 × 7
The Greatest Common Factor is 6, so there are 6 necklaces can be made with equal number of beads
Answer:
(1, 2)
Step-by-step explanation:
