There are 20 students in a drama class. The mean age of 12 students is 18 years. The mean age of the remaining 8 students of the
1 answer:
You might be interested in
The conversions factors needed are 1 mile= 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s
<u>Solution: </u>
Given, A runner is running 10 miles per hour.
We have to find what conversion factors should be used to convert 10 mi/hr to ft/s?
Now, speed of runner = 10 miles per hour.
But we need the units to be in ft / s.
Then, conversion factors are miles to feet and hours to seconds.
Now, miles to feet ⇒ 1 mile = 5280 feet.
Now, hours to seconds ⇒ 1 hour = 3600 seconds
Hence, the conversions needed are 1 mile = 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Step-by-step explanation:
The system of equations has two equations:
- -9x + 4y = 8
- -3x - y = 4
Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations
∵ -9x + 4y = 8 ⇒ (1)
∵ -3x - y = 4 ⇒ (2)
- Multiply equation (2) by 4 to make the coefficients of y in the
two equations have same value and different signs
∴ -12x - 4y = 16 ⇒ (3)
- Add equations (1) and (3) to eliminate y
∴ -21x = 24
- Divide both sides by -21
∴ x =
Let us substitute this value of x in equations (1) and (2) to find y
∵ -9( ) + 4y = 8
∴ + 4y = 8
- Subtract from both sides
∴ 4y =
- Divide both sides by 4
∴ y =
∵ -3( ) - y = 4
∴ - y = 4
- Subtract from both sides
∴ - y =
- Divide both sides by -1
∴ y =
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
#LearnwithBrainly