Answer:
System of equations:
3.5c + 5a = 377
c + a = 85
Solved:
(53, 32)
Step-by-step explanation:
32 children's tickets were sold and 53 adults tickets were sold.
Answer:
(
b, 0 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 
and b = b , thus
y= - x + b ← equation of line
The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is
- x + b = 0 ( multiply through by 3 to clear the fraction )
- 5x + 3b = 0 ( subtract 3b from both sides )
- 5x = - 3b ( divide both sides by - 5 )
x = b , thus
x- intercept = ( b, 0 )
Answer:
Kyle's house is 5000 m away from the school.
Step-by-step explanation:
Carter lives 3 kilometers away from the school and Kyle lives 2000 meters farther away from the school then Carter does.
Simply put, Kyle lives an extra 2000 meters plus the distance of Carter's house from the school.
So, we simply need to add the two distances given to us to the find our answer.
Let us put the distance of Carter's house in metres:
1 km = 1000 m
=> 3 km = 3 * 1000 m = 3000 m
Hence, the distance of Kyle's house from the school is:
3000 m + 2000 m = 5000 m
Kyle's house is 5000 m away from the school.
A triangle's total angle equals 180 degrees. so put all the other values together and then subtract from 180 to solve for x
Answer:
C
Step-by-step explanation:
(x+2)² + (y-3)² = 3²
x² + y² + 4x - 6y + 4 + 9 - 9 = 0
x² + y² + 4x - 6y + 4 = 0
