First, you find the probability of getting each question right individually, then you multiply the two probabilities together.
(1/3) x (1/3) = 1/9
To get the solution of a set of equations means to get a point that satisfies both equations.
Part (1):The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this casePart (2): The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutionsPart (3):We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.
Answer:
$18.84
Step-by-step explanation:
The area of a cone is (1/3)pi*r^2*h
With all variables plugged in we get an area of (1/3)*3.14*(1^2)*9, or 9.42 cubic inches. With a value of 2$/in^3, we get 2*9.42, or 18.84.
Therefore, the value of the container is $18.84.
Answer:
B. 9,000,000,000
Step-by-step explanation:
From the given information:
We are to determine the best estimate of the number of bottles sold this year and last year.
The best estimate means rounding up to the nearest whole number.
Given that:
7,234,267,990 bottles of water were purchased this year
2,000,900,999 bottles of water were purchased last year
The estimate of the bottles sold this year and last year from the above value is:
= 7,000,000,000 + 2,000,000,000
= 9,000,000,000