Answer:
Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min
Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min
Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.
Then we need to find the smallest common multiple between 15 and 18.
To smallest common multiple between two numbers, a and b, is equal to:
a*b/(greatest common factor between a and b).
Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:
15 = 3*5
18 = 2*3*3
The greatest common factor is 3.
Then the smallest common multiple will be:
(15*18)/3 = 90
This means that after 90 mins, they will meet again at the starting place.
Answer:
The area is 6.25 times greater.
Step-by-step explanation:
Each side of the triangle of the dilated triangle will be 2.5 times the length of the original sides.
The area will increase to 2.5^2 = 6.25 times.
Answer:
x > - 1
Step-by-step explanation:
Given
- 3x - 5 < - 2 ( add 5 to both sides )
- 3x < 3
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity
x > - 1
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)