What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?
2 answers:
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Answer:
The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.
Step-by-step explanation:
The airplane travels 6032 km in 8 hours against the wind.
So, ........ (1) {Where u is the speed of plane in still air and v is the wind speed}
Again, the airplane travels 7312 km in 8 hours with the wind.
So, ........ (2)
Now, adding equations (1) and (2) we get,
2u = 1668
⇒ u = 834 km per hour.
So, from equation (1), we get
v = u - 754 = 834 - 754 = 80 km per hour.
Therefore, the rate of the plane in still air is 834 km/hr and the rate of wind is 80 km/hr. (Answer)
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:
1st day = 3.2 miles
2nd day = 7.5 miles
3rd day = 9.8 miles
4th day = 11.5 miles
5th day = 2.9 miles
6th day = 3.5 miles
<span>Finally, she ran a total of:
3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles
</span><span>What was the average distance of each run?
This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.
</span>
<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?
Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:
</span>
∴
Isolating x:
∴
Therefore, she need to run:
in order to achieve the goal of 6 miles per day.
1st day = 3.2 miles
2nd day = 7.5 miles
3rd day = 9.8 miles
4th day = 11.5 miles
5th day = 2.9 miles
6th day = 3.5 miles
<span>Finally, she ran a total of:
3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles
</span><span>What was the average distance of each run?
This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.
</span>
<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?
Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:
</span>
∴
Isolating x:
∴
Therefore, she need to run: