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.
Answer:
Length of AB = 6 cm
Length of the segment BC = 14 cm
Step-by-step explanation:
Here, B is a point on a segment AC.
AB : BC = 3:7
Length of the segment AC = 20 cm
Now, let the common ratio between the segment is x.
So, the length of AB = 3 x , and Length of BC = 7 x
Now, AB + BC = AC
⇒ 3x + 7x = 20
or, 10 x = 20
or, x = 2
Hence, the length of AB = 3 x = 3 x 2 = 6 cm
and the length of the segment BC = 7x = 7 x 2 = 14 cm
Answer:
y=2/3-4x/9
Step-by-step explanation:
Answer:
5abc^2/35a^3c^3
Step-by-step explanation:
To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c
=35a^3c^3/ 7a^2c
Recall that
a^x/a^y = a^x-y
Hence
35a^3c^3/ 7a^2c = 5a^3-2c^3-1
= 5ac^2
Now multiply the numerator and denominator by the result
b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)
Recall that
a^x * a^y = a^x+y
Hence
b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3
Answer:
D. Negative.
Step-by-step explanation:
In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:
y-y₁=m(x-x₁)
Plug in your information and solve.
-1 - 5 = m (2 - (-1))
-6 = m (3)
-6 = 3m
m = -6 / 3
m = -2
(m = slope)
Also, when shown on the graph =
If the slope is going:
up from left to right: it's positive
down from left to right: it's negative
straight up and down (vertical): it's undefined
straight left to right (horizontal): it's zero.
