Answer:
There are 210 different ways that 4 cards can be drawn.
There are 252 different ways that 5 cards can be drawn.
There are 120 different ways that 7 cards can be drawn.
Step-by-step explanation:
Use the combination formula
10C4 =210
10C5 = 252
10C7 = 120
we know that
If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation
we have the equation

Let's verify all the cases to determine the solution to the problem.
<u>case A)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case B)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case C)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
<u>case D)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
therefore
<u>the answer is </u>


Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:

We have the points (5, -5) and (-4, -2).
Substiute:

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

<em>add 5/3 to both sides</em>

Finally we have the equation of a line in the slope-intercept form:

Convert to the standard form <em>(Ax + By = C)</em>:
<em>multiply both sides by 3</em>
<em>add x to both sides</em>

5 is in the ten thousands place now. Since the next digit (a 6) is greater than 5, we must round UP: 360000 is to the nearest ten thousand.
Answer:
6/8, 9/12, 12/16
Step-by-step explanation:
Multiply the numerator and denominator by the same amount to maintain the same ration.
