If the average salary for a college instructor in 1925 was $2300 and that average salary increased each year by $180, in what ye
2 answers:
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Answer:
The number of 3-digit phone prefixes that do not start with 0 or 1, but contain 0 or 1 as the middle digit is 160.
Step-by-step explanation:
The phone prefix for any area is of the form <u>X</u> <u>X</u> <u>X</u>.
These prefixes can take values from 0 to 9.
The condition to create a phone prefix is:
- The first digit cannot be 0 or 1
- The middle digit is either 0 or 1.
The possible number of ways to fill the first place is 8 since 0 or 1 cannot be the first digit.
The possible number of ways to fill the second place is 2 since the middle digit can be occupied by either 0 or 1.
The possible number of ways to fill the last place is 10 since there are no condition applied to the last digit.
Then the number of phone prefixes that can be formed is =
Thus, the possible number of phone prefixes possible is 160.
Answer:
18 and 40
Step-by-step explanation:
Let x be the age of Claire and y the age of her mother
Claire's mother is 4 years more than twice Claire's age
- y = 2x+4
The sum of their ages are is 58
- x+y = 58
the system is:
Multiply (y+x = 58) by -1 and then add it to (y = 2x+4) to eliminate y
- -y-x = -58
- -y-x+y = 2x+4-58
- -x -2x = -54
- -3x = -54
- x = 54/3
- x = 18
y= 58-18 = 40
so claire's mother is 40 years old and claire is 18