Answer:
Step-by-step explanation:
5x-12=3x+20
plus 12 both sides
5x=3x+32
-3x both sides
2x=32
divide by 2 both sides
x=16
Answer:
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Step-by-step explanation:
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Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.
Step-by-step explanation:
The given equation is:
12x + 15y = 4140 .....(1)
Where,
x stands for $12 tickets and y stands for $15 tickets
According to the question:
x + y = 300 ....(2)
Now solving equation 1 and 2.
From equation 2:
x = 300 - y
Now putting this expression in equation 1.
12x + 15y = 4140
12(300 - y) + 15y = 4140
3600 - 12y + 15y = 4140
3600 + 3y = 4140
3y = 4140 - 3600
3y = 540
y = 180
And,
x = 300 - y = 300 - 180 = 120
The number of $12 tickets sold = x = 120
The number of $15 tickets sold = y = 180
Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.
Divide the perimeter by 3 to find the side length.
Since the formula for the are of a triangle is
1/2 * b * h the height must be found.
If a perpendicular line is drawn from the apex of the triangle, a right triangle is formed with a base of 5 and a hypotenuse of 10. Also since it originally was equilateral the base angle is 60 degrees. The rules for finding lengths of sides of equal. Triangles is long leg = sqrt3 * short leg
the height is the long leg so the height is 5sqrt3.
A=(1/2)(10)(5sqrt3)= 25sqrt3
Answer:
The correct option is 1, 4 and 6.
Step-by-step explanation:
The given two-way table is
WIN LOSS TOTAL
HOME GAMES 6 10 16
AWAY GAMES 3 8 11
TOTAL 9 18 27
Total number of home games won by team is 6 and total number of away games won by team is 3. It means the team is twice as likely to win a home game as they are an away game.
The correct option is 1.
Total number of home games = 16.
Home game won by team is
Option 2 is incorrect.
Total games = 27
Total games won by the team = 9
Total part of games won by team is
Option 3 is incorrect.
The team played a total of 27 games.
Option 4 is correct.
The team won a total of 9 games.
Option 5 is incorrect.
Total home games loose by team = 10
Total away games loose by team = 8
The team lost more home games than away games.
Option 6 is correct.
Therefore the correct option is 1, 4 and 6.
