Answer:
585/3 = 195 students
Step-by-step explanation:Each group of three created (or used) 9 pictures, so that means three pictures per student.
Dividing 585 students by 3 pictures per student means that there are 585/3=195 students.
Unfortunately, I can't do it on a graph here, but I will do it algebraically.
The solution on the graph will be the point of intersection of the two lines representing the equations.
y + 2.3 = 0.45x . . . . . (1)
-2y = 4.2x - 7.8 . . . . . (2)
From (2), y = 3.9 - 2.1x
substituting for y in (1), we have:
3.9 - 2.1x + 2.3 = 0.45x
2.55x = 6.2
x = 6.2/2.55 = 2.4
y = 3.9 - 2.1(2.4) = 3.9 - 5.04 = -1.2
Therefore, solution is (2.4, -1.2)
Answer:
She made 17 three-point shots.
Step-by-step explanation:
Let t represent the number of three-point shots she made.
Since, she made a total of 87 shots (two- or three-point shots), the number of two-point shots will be 87-t.
The points from three-point shots:
→ 3t (1)
The points from two-point shots:
→ 2(87-t) (2)
Since, her total point was 191, the sum of equation 1 and equation 2 must be equal to 191.
→ 3t + 2(87-t) = 191
→ 3t + 174 - 2t = 191
→ t = 17
Answer:
The center of this circle is found at (4, -2) and the radius is 6.
Step-by-step explanation:
The equation for a circle in standard for is ( x – h)² + ( y - k)² = r². In this equation, (h, k) is the center of the circle and r is the radius.
From the given equation, ( x – 4)² + ( y + 2)² = 36, h is already subtracted from x, so h = 4, but the k is not subtracted, so (y + 2) = [y - (-2)], and we see that k is -2. Therefore, the center of the circle is (4, -2) and 36 = r². By taking the square root of 36, we find that r = 6.
The center of this circle is found at (4, -2) and the radius is 6.