B. DIRECTIONS: Answer the following questions. Provide your complete solution. 1. Francis has to choose 5 numbers for his password (from digits 0 to 9) and repetition of digits are not possible. How many different arrangements of numbers could Francis choose?

Q: The sum of a digits of a two digit number is 8. If 18 is added to the number, the digits of the…

A: It is given that the sum of the first and the second digit of a two digit number is 8. We know that…

Q: A train leaves a station traveling north at the rate of 60 mph. One hour later, a second train…

A:

Q: Let x be the number, then the English phrase "twice the sum of a number and three, less than twenty"…

A: Given that the number is= x So the sum of a number and three=x+3 twice the sum of a number and…

Q: Maria's age is fifteen more than twice her daughter's age. Express Maria's age in terms of her…

A: Let Maria's daughter age is x year Then Maria's age is (2x +15) year Therefore Maria's age in terms…

Q: A two digit number is four times the sum and three times the product of its digits .Find the number

A:

Q: A 21-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece…

A: Given that a rope is cut into 2 pieces. Here seven less than three times the length of the longer…

Q: A 10-foot board is to be cut into 2 pieces so that the length of the longer piece is 2 feet less…

A: Let's the small piece be x The longer piece will be 3x-2 If we add the 2 pieces together,the total…

Q: Please solve and show all steps for all multiple parts.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the number whose absolute value is 54 more than the number itself.

A:

Q: The sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number. Find the…

A: Given that the sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number.…

Q: The sum of the two-digit number is 9. The tens digit is three less than three times the units digit.…

A: Lets the ten's digit be x ,and let unit's digit be y Then the number formed is 10x+y As the sum of…

Q: The sum of the two-digit number is 8. The unit digit is four less than five times the tens digit.…

A: Let  'ab' denotes a two digit number where 'b' is unit digit and 'a' denotes tens digit. Given that…

Q: The sum of twice a number and 11 is between 21 and 31. Find such numbers.

A: The objective of the question is to find the range of numbers that satisfy the given condition. The…

Q: Find three consecutive integers such that the product of the first two integers is 22 less than the…

A: Assume consecutive integers as x, x-1 and x+1. It will make the calculation part easy.