5. 53.96 - 19.99 = 33.97
33.97 / 53.96 = 0.629 = 63%
6. a 62% discount means she would pay 38% of the original price
2.15 * 0.38 = 0.82 . the 0.82 is not the discount, but the amount she would actually pay.
to check: the discount is 62% 2.15 x 0.62 = 1.33
2.15 - 1.33 = 0.82
Note absolutely sure on part 7
7. A) the number of votes per vertical line is missing.
B) darken the vertical lines and total the number of colored squares there are then divide the number the winner got by total so 6/16 = 0.375 = 37.5% MAY NEED TO ROUND TO 38%
C) amber got 2/16 squares = 0.125. 420 * 0.125 = 52.5 = 53 votes
Answer:
B
Step-by-step explanation:
if you round to the nearest hundredth then that would be rounding the second 9 which rounds to 10 which moves to the tenths place value which moves to the ones place value making the answer 4.
The number of ways n different objects can be arranged, taking r objects at a time, without repeating any object is given by:
![^nP_r= \frac{n!}{(n-r)!}](https://tex.z-dn.net/?f=%20%5EnP_r%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D%20)
Given 6 different digits, the number of ways to arrange 6 different digits to make a 3 digit number without reapeating a digit is given by:
![^6P_3= \frac{6!}{(6-3)!} \\ \\ = \frac{6!}{3!} = \frac{6\times5\times4\times3!}{3!} \\ \\ =6\times5\times4=120](https://tex.z-dn.net/?f=%5E6P_3%3D%20%5Cfrac%7B6%21%7D%7B%286-3%29%21%7D%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B6%21%7D%7B3%21%7D%20%3D%20%5Cfrac%7B6%5Ctimes5%5Ctimes4%5Ctimes3%21%7D%7B3%21%7D%20%20%5C%5C%20%20%5C%5C%20%3D6%5Ctimes5%5Ctimes4%3D120)
Therefore, the number of <span>ways 6 digits can be arranged to make a 3-digit number without repeating a digit</span> is
120 ways.