A)
4(q - 10) = 76..... Tim earned 4 points for each correct answer, totaling 76 points. He got 10 answers right less than the total number of questions on the test.
b)
q = 10 + 76/4
q = 29
Thus, the overall number of questions on Tim's math test amounted to 29.
Step-by-step explanation:
a) 7!
In absence of any restrictions, the answer is 7! as it represents the permutations of all animals.
b) 4! x 3!
Considering there are 6 cats and 5 dogs, the first and last slots must be occupied by cats to ensure alternate arrangements. The only options available then are based on the arrangement of the cats among themselves and the dogs among themselves, yielding 4! permutations for the cats and 3! for the dogs, thus leading to a total of 4! x 3! arrangements.
c) 3! x 5!
Here, the arrangement of the dogs among themselves can occur in 3! ways. Considering the dogs as a singular “object,” we can arrange this unit with the 4 cats, providing 5! total arrangements possible, leading to 3! · 5! arrangement possibilities.
d) 2 x 4! x 3!
In this scenario, both cats and dogs must be grouped together, allowing positions where all cats come before the dogs or vice versa. As there are two configurations, the resultant count is 2 multiplied by both arrangements, resulting in 2 x 4! x 3!
A proportion maintains a consistent ratio m/d
If m = 0.75d, then the m/d ratio translates to (0.75d)/d = 0.75
In this case, the ratio can be expressed as (.75d-2)/d = 0.75 - (2/d).
Thus, it is not proportional.
To tackle this problem, you can use the same method from the prior situation.
Option 1: 2/(1/16 + 1/65) = 25.7 mpg
Option 2: 2/(1/14 + 1/85) = 24.0 mpg
_____
Like before, enhancing the least efficient vehicle yields the best outcome.
Answer:
She is mistaken
Step-by-step explanation:
Step 1: input
135 for x in both equations
Step 2: Solve those equations. This will yield y = 5375 for the first equation and y = 4720 for the second, indicating that she is incorrect
