Answer:
2 miles per hour
Step-by-step explanation:
We have to calculate the miles per hour of each person
Formula = Distance in miles/ Time in hours
a) For Pepe
Pepe averaged a speed of 4/5 of a mile in 1/10 of an hour
Hence,
= 4/5 miles / 1/10 hour
= 4/5 miles ÷ 1/10 hour
= 4/5 miles × 10/1 hour
= 8 miles per hour
b) For Paula
Paula averaged 5/6 of a mile in 1/12 of an hour.
Hence,
= 5/6 miles / 1/12 hour
= 5/6 miles ÷ 1/12 hour
= 5/6 miles × 12 hour
= 10 miles per hour
Therefore, In miles per hour, the number of miles Paula ran faster than Pepe is calculated as:
10 miles per hour - 8 miles per hour
= 2 miles per hour
Step1: Define an odd integer.
Define the first odd integer as (2n + 1), for n = 0,1,2, ...,
Note that n is an integer that takes values 0,1,2, and so no.
Step 2: Create four consecutive odd integers.
Multiplying n by 2 guarantees that 2n will be zero or an even number.
Therefore (2n + 1) is guaranteed to be an odd number.
By adding 2 to the odd integer (2n+1), the next number (2n+3) will also be an odd integer.
Let the four consecutive odd integers be
2n+1, 2n +3, 2n +5, 2n +7
Step 3: require that the four consecutive integers sum to 160.
Because the sum of the four consecutive odd integers is 160, therefore
2n+1 + 2n+3 + 2n+5 + 2n +7 = 160
8n + 16 = 160
8n = 144
n = 18
Because 2n = 36, the four consecutive odd integers are 37, 39, 41, 43.
Answer: 37,39,41,43
