Answer:
6 : 1
Step-by-step explanation:
b - 3a / 9 = a /3
Cross multiply
3(b - 3a) = 9a
Expand
3b - 9a = 9a
Add 9a to both sides
3b = 9a + 9a
3b = 18a
Divide both sides by 3
b = 6a
Ratio of a : b
6 : 1
Answer:
1/hour =9$
For 12 hours she makes 108$
Answer: 37
Step-by-step explanation: 14 x 3 = 42
42 - 5 = 37
Answer:




Solving for
we got
and replacing this we got:



And then the best option for this case would be:
b.csc x
Step-by-step explanation:
For this case we have the following expression given:

We know from math properties that the definition for cot is 
If we use this definition we got:


Now we can use the following identity:

Solving for
we got
and replacing this we got:



And then the best option for this case would be:
b.csc x
Answer:
Option B
Step-by-step explanation:
Since, number of calories 'C' burned is proportional to the number of minutes (m) given to the exercise,
C ∝ m
C = km
Where k is the proportionality constant.
From the table attached,
For C = 250 calories and m = 30 minutes,
250 = 30k
k = 
= 
Therefore, equation representing this situation will be,
C = 
Option B will be the correct option.