What is the largest four-digit negative integer congruent to $1 \pmod{23}?$

-1011

Step-by-step explanation:

An integer that is congruent to 1 mod{23} is of the form 23n+1.

Therefore, we form the inequality 23n+1<-999, and find the largest possible integer n. We get

23n+1<-999

23n<-1000

n < 1000/23, or n < -43.48

The largest possible negative integer n is -44. We plug it in for n to get 23 x -44 +1 =-1011.

17 1/3

step-by-step explanation:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.