Answer:
MAYA (6 minutes)
Amy (7 minutes)
Step-by-step explanation:
MAYA
Takes Maya 30 minutes to solve 5 Puzzle:
Let's express it as,
30 mins = 5 Puzzle
1 min = x Puzzle
Cross multiply to solve for the number of questions Maya solves in a minute.
It becomes:
30*x = 5*1
30x = 5
x = 30/5
x = 6mins.
It means it takes Maya 6 mins to solve one question.
FOR AMY
Takes Amy 28 mins to solve 4 puzzles.
Let's represent it as:
28 mins = 4 Puzzles
x min = 1 puzzle
Let's solve for x
(28 mins) * (1 puzzle) = 4 * x
28 = 4x
x = 28/4
x = 7 mins
It means, it takes Amy 7 minutes to solve 1 puzzle
Answer: 5,499,187,200
<u>Step-by-step explanation:</u>
A coin is tossed 5 times.
There are two options (heads or tails) so the possible outcomes are: 2⁵
A six-sided die is rolled 4 times.
There are six options so the possible outcomes are: 6⁴
A group of 3 cards are drawn (without replacement).
The first outcome has 52 options, the second has 51 options, and the third has 50 options: 52 x 51 x 50
Now if we want the coin AND the die AND the cards, we have to multiply all of their possible outcomes:
2⁵ x 6⁴ x 52 x 51 x 50
= 32 x 1296 x 132,600
= 5,499,187,200
Definitely B. Note how the powers of y are presented in descending order by power: y^8, y^7, y^1.
After staring at this for a few seconds, I think the equation
![-5\sqrt{10}\cdot\sqrt{15}=[1]\sqrt{[2]}](https://tex.z-dn.net/?f=-5%5Csqrt%7B10%7D%5Ccdot%5Csqrt%7B15%7D%3D%5B1%5D%5Csqrt%7B%5B2%5D%7D)
is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.
Notice that
Then multiplying by -5, we have
so I believe [1] = -25, and [2] = 6.
