Answer:
Maximum number of months Abby can learn yoga is 25 months.
Step-by-step explanation:
We have given,
Total savings of Abby = $1325
Total charges to learn yoga is given as:
A fixed registration fee = $35
And a monthly fee = $50
Since the registration Abby pays only once. So we can calculate the remaining saving amount for Abby.
i.e Remaining saving amount after registration fee = $ (1325 - 35) = $1290
Now, from the remaining amount after paying registration fee , let the Abby learn yoga for x months.
To find maximum number of months we need to satisfy a equation given as:
or 
Since we got x ≤ 25.8 months ≈ 25 months (in integer form)
So maximum number of months Abby can learn yoga is 25 months.
Answer:
There are 47.12 liters in 12.4 gallons of gasoline.
Option C is correct option.
Step-by-step explanation:
Total Gasoline bought = 12.4 gallons
We are given:
1 gallons = 3.8 liters
So.=, we need to find how many liters in 12.4 gallons of gasoline
1 gallon = 3.8 liters
12.4 gallon = 3.8*12.4
= 47.12 liters
So, there are 47.12 liters in 12.4 gallons of gasoline.
Option C is correct option.
This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.
Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:
2.6s + 7.3
Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:
1.5s + 12.4
To determine when both balloons are at the same height, we set the two equations equal to each other:
2.6s + 7.3 = 1.5s + 12.4
Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:
1.1s + 7.3 = 12.4
Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:
1.1s = 5.1
Last, we divide both sides by 1.1. So s = 4.63.
This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:
2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33
1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33
After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
