Answer:
4032 different tickets are possible.
Step-by-step explanation:
Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.
To find : How many different tickets are possible ?
Solution :
In the first race there are 9 ways to pick the winner for first and second place.
Number of ways for first place - 
Number of ways for second place - 
In the second race there are 8 ways to pick the winner for first and second place.
Number of ways for first place -
Number of ways for second place - 
Total number of different tickets are possible is
Therefore, 4032 different tickets are possible.
One way to approach this problem is to go ahead and find the actual equation in slope-intercept form.
The slope of the line thru (3,6) and (5,4) is m = (6-4) / (3-5), or -2/2, or -1.
Subbing the known values of m, x and y, we get:
4 = -(5) + b. Then b = 9.
The correct equation (representing the data values in the table) is y = -x + 9.
Answer:
see below
Step-by-step explanation:
x - 2/5= 7
Add 2/5 to each side
x - 2/5 + 2/5 = 7+2/5
x = 7 2/5
or if
( x-2) /5 = 7
Multiply each side by 5
(x-2) /5 *5 = 7*5
x-2 = 35
Add 2 to each side
x-2+2 = 35+2
x = 37
I'll do the first two problems to get you started. All problems shown will use the same formula.
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Problem 4
The formula to use is
C = 100*(B-A)/A
where
A = old value
B = new value
C = percent change
In this case, A = 12 and B = 36, so
C = 100*(B-A)/A
C = 100*(36-12)/12
C = 100*(24/12)
C = 100*2
C = 200%
We have a 200% increase. It is an increase because the value of C is positive.
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Problem 5
Use the same formula as in the previous problem. This time,
A = 75 is the old value
B = 25 is the new value
C = 100*(B-A)/A
C = 100*(25-75)/75
C = 100*(-50/75)
C = 100*(-2/3)
C = -66.6667%
C = -66.7%
The value of C is negative, so we have a percent decrease of roughly 66.7%
Answer:
75
Step-by-step explanation:
Area of a triangle is <em>l </em>x <em>w </em>(length x width)
That's 4 cm x 12 cm. Now you could go ahead and figure it out from there, but you have to remember it wants the answer in meters. It tells us that for every 4cm, it is 5m. The easiest way to figure this out is to convert to meters before multiplying. Since 4 cm is 5m, the <em>l </em>becomes 5m. 4 goes into 12 three times. So we would do 5 x 3 to get 15m for the new <em>w. </em>Now we can solve for area.
<em>l </em>x <em>w </em>= A
5m x 15m = A
75m = A
I hope this helped :)
