Answer:
There are 336 ways can the teams finish first, second, and third
Step-by-step explanation:
Total no. of teams = 8
First prize is given to one of the 8 teams
So, no. of teams left for second prize = 8-1 =7
Second prize is given to one of the remaining 7 teams
So, no. of teams left for third prize = 7-1=6
So,the teams finish first, second, and third in no. of ways =
The teams finish first, second, and third in no. of ways = 336
Hence there are 336 ways can the teams finish first, second, and third
Answer: The point where the two graphed lines cross is the solution to the system of equations. (1, -1)
Step-by-step explanation:
The second equation is already in slope-intercept form y = x - 2
the slope is +1 (invisible coefficient of x) and the y-intercept is -2
y = mx +b
"m" is the slope (the coefficient of x) Positive slopes go up from left to right
"b" is the y-intercept, where the graphed line crosses the x-axis
Rewrite the first equation in slope-intercept form.
6x + y = 5 subtract 6x from both sides
<em>-6x</em> + 6x +y = -<em>6x</em> + 5 .( left side 6x + 6x =0 so "cancel")
y = -6x + 5
Then you know the slope and the intercepts
b = 5 so start with a point at +5 in the y-axis
m = -6 so from there go down 6 and over to the right 1 square and plot another point. Draw a straight line through the two points.
The point where the two graphed lines cross is the solution to the system of equations.
Your graph should look like the screenshot below.
Answer:
The answer to your question is:
Perimeter = 26.5 units
Area = 22.5 units²
Step-by-step explanation:
Data
A (5, 9)
B (8, 0)
C (0, 9)
Formula
d = 
dAB = 
dAB = 
dAB = 
dBC = 
dBC = 
dBC = 
dAC = 
dAC = 
dAC = 
Perimeter = 
Perimeter = 26.5 units
Area = 1/2 [ ( 5x0) + (8x9) + (0 x 9) - (5x 9) - (0x 0) - (8x9)]
= 1/2 [ 0 + 72 + 0 - 45 - 0 - 72]
= 1/2 [-45]
= 45/2
= 22.5 units²
Answer: 1 is 2
Step-by-step explanation:
Answer:
4000 is size of a crowd walking in a charity fundraising March.
Step-by-step explanation:
Given:
Dimensions of rectangular space 10 feet by 12000 feet
So we can say that,
Length = 1200 ft
Width = 10 ft
Now we will calculate the area of rectangular space which is given by
Hence Area will be = 
Now we know that 40 people occupy a rectangle measuring 10 feet by 12 feet.
Length = 12 ft
Width = 10 ft
Area = 
It says that 40 people are occupied in 120 
So how many people will be there in 12000 
By using unitary method we get,
Number of people = 
Size of a crowd walking in a charity fundraising March is 4000.