Answer: x = 1, y = - 5
Step-by-step explanation:
The given system of linear equations is expressed as
x - 2y = 11- - - - - - - - - - - - -1
- x + 6y = - 31- - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- 2y + 6y = 11 - 31
4y = - 20
Dividing the the left hand side and the right hand side of the equation by 4, it becomes
4y/4 = - 20/4
y = - 5
Substituting y = - 5 into equation 1, it becomes
x - 2 × - 5 = 11
x + 10 = 11
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
x + 10 - 10 = 11 - 10
x = 1
Answer:
3.14 cm²/min
Step-by-step explanation:
rate of increasing of radius, dr/dt = 0.01 cm/min
r = 50 cm
Area of plate, A = πr²
rate of increase of area
dA/dt = 2πr dr/dt
dA/dt = 2 x 3.14 x 50 x 0.01
dA/dt = 3.14 cm²/min
Thus, the increase of rate of area is 3.14 cm²/min.
Answer:
414
Step-by-step explanation:
the ratio of adult tickets to student tickets = 2 to 7 num of student tickets / 92 = 7 / 2 ... x = 414 total tickets sold.
First, to find how many pints she drank, you divide 21 by 2, which is 10.5. To make things easier, let's convert her cups into decimal form by dividing 1 by 2, leaving us with .5.
Now, let's convert her pints to cups. 10.5 pints is equal to 21 cups. Now, add the cups she drank on the way home.
In total, Sasha drank 21.5 cups of water, or 172 fluid ounces :)
