Step-by-step explanation:
Correct option is
C
0≤r<b
If r must satisfy0≤r<b
Proof,
..,a−3b,a−2b,a−b,a,a+b,a+2b,a+3b,..
clearly it is an arithmetic progression with common difference b and it extends infinitely in both directions.
Let r be the smallest non-negative term of this arithmetic progression.Then,there exists a non-negative integer q such that,
a−bq=r
=>a=bq+r
As,r is the smallest non-negative integer satisfying the result.Therefore, 0≤r≤b
Thus, we have
a=bq1+r1, 0≤r1≤b
Answer:
150-50-p=75
Step-by-step explanation:
Yes they should reach the 8.1 mile marker by noon
2 hours equals 6 miles 2.4+6=8.4
if they kept walking for a full 2 hours they would reach the 8.4 mile marker
Answer:
AB = 10π
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
= 2π × 12 ×
← cancel 12 on numerator/ denominator, leaving
AB = 2π × 5 = 10π
Answer:
Step-by-step explanation:
First convert £ 300 to Yen
£1 = ¥ 168
£300 = 168 * 300 = ¥ 50400
As bank as ¥ 1000 notes, the money he get is ¥50,000
50000 ÷ 1000 = 50
Kevin gets 50 notes of ¥ 1000