Number of ways of choosing two pair of sneakers from three pairs named A, B, C is given by 3C2 (3 combination 2) = 3! / 2!(3 - 2)! = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3.
Therefore, the sample space is given by S = {AB, AC, BC}
Answer:
10.22 she save
Step-by-step explanation:
18 3/4 x 2.80=51.1
51.1 x 20%=10.22
Answer:
B. 
Step-by-step explanation:
The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:
(1)
If we know that 
and 
, then the formula for the approximate population in the region is:
![T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]](https://tex.z-dn.net/?f=T%28x%29%20%3D%20%5B2.9%5Ccdot%20%281.05%29%5E%7Bx%7D%5D%5Ccdot%20%5B%281.05%29%5E%7B3%5Ccdot%20x%20%2B%205%7D%5D)
Hence, correct answer is B.
Answer: Laura cannot find the number, as explained below.
Explanation:
1) The question is aimed to determine the number that Laura is trying to come up with.
Such question is solved by stating an algebraic equation from the word statement, which is done step by step.
2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3
3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)
4) Finally, since they are equal, you can set the equation:
8x - 3 = (1/2) (16x + 1)
5) And solve for x in this way:
i) Distributive property:
8x - 3 = 8x + 1/2
ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:
-3 = 1/2 which is alwasy false, meaning that the equation has no solution.
