Audrey is thinking of a number. If the number is divided by 3 and added to 12, the result is 29. Of which number is Audrey thinking?
A.63
B.54
C.51
D.44
C?
Look at the number tiles below
279
Which group of numbers shows all 3-digit numbers that can be made with these digits?
A.279,729,927
B.279,297,729,927
C.279,297,729,792,927
D.279,297,729,792,927,972
D?
Yes! :-) Both of your answers are correct!
To solve the first question, let's break it down step by step:
1. Let's assume the number Audrey is thinking of is x.
2. We are given that when x is divided by 3 and then 12 is added to the quotient, the result is 29. This can be written as: (x/3) + 12 = 29.
3. To find the value of x, we can subtract 12 from both sides of the equation: (x/3) = 29 - 12.
4. Simplifying the right side, we get: (x/3) = 17.
5. To isolate x, we can multiply both sides of the equation by 3: 3 * (x/3) = 17 * 3.
6. Simplifying further, we get: x = 51.
Therefore, Audrey is thinking of the number 51. So, the correct answer is C.
Now let's move on to the second question:
1. We are given the number tiles 279.
2. We need to find all the 3-digit numbers that can be made with these digits.
3. We can use each digit only once to form a 3-digit number.
4. Let's start by listing all the possible combinations of these digits:
- 279
- 297
- 729
- 792
- 927
- 972
5. Looking at the options, we see that the correct answer is option D, as it includes all the possible combinations of the digits 2, 7, and 9 to form 3-digit numbers.
Therefore, the correct answer is D.