Answer:
x=45
Step-by-step explanation:
2x+45+x=180
Combine 2x and x to get 3x.
3x+45=180
Subtract 45 from both sides.
3x=180−45
Subtract 45 from 180 to get 135.
3x=135
Divide both sides by 3.
x=135/3
Divide 135 by 3
x=45
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Number of hours of pop music = 3
Number of hours of classical music = 2
According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.
Rate of increment = 5% = 0.05
Let the number of months be 'x'.
So, our required function becomes,

Hence, Option 'd' is correct.
Answer:
angle PHI
Step-by-step explanation:
Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ
Answer:
-4.42
Step-by-step explanation:
Given the following :
Population mean (pm) = 8 hours
Sample mean (sm) = 6.9 hours
Number of observations (n) = 101 students
Sample standard deviation (sd) = 2.5
Using the t-statistic formula :
[(sm - pm) / (sd/√n)]
Hence,
[(6.9 - 8) / (2.5/√101)]
[(-1.1) / (2.5/10.05)]
-1.1 / 0.2487562
= −4.422
The test statistic = - 4.42 to the nearest hundredth.
35. To find the solution to this problem, we need to add up all of the juice.
5 3/4 + 4 1/2 + 2 3/4 = 13
The answer for this question would be C.
36. Since each square tile is 1 cm by 1 cm:
7 * 12 = 84
84/1 = 84
The answer is 84.
Hope this helps!