A bottle of vanilla contains $18$ tablespoons when completely full. A recipe calls for $1 \frac 14$ tablespoons of vanilla. How many tablespoons will be left in the bottle after making a triple batch (which requires three times as much of each ingredient as the recipe calls for)? Express your answer as a mixed number.

Tracy solved the following problem. which of the statements is true? 9 ÷ 3 + 6 × 2 3 + 6 × 2 9 × 2 18 her answer is correct. her answer is incorrect. she should have multiplied before dividing. her answer is incorrect. she should have multiplied before adding. her answer is incorrect. she should have added before dividing.

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?