Answer:
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
x =$5.25
y = $9.75
Step-by-step explanation:
x = the number of student tickets sold
y = the number of adult tickets sold
36x + 24y = 423 (1)
41x + 38y = 585.75 (2)
Multiply (1) by 38 and (2) by 24
1368x + 912y = 16,074 (3)
984x + 912y = 14,058 (4)
Subtract to eliminate y
1,368x - 984x = 16,074 - 14,058
384x = 2,016
x = 2,016/384
x = 5.25
Substitute x = 5.25 into (1) to find y
36x + 24y = 423
36(5.25) + 24y = 423
189 + 24y = 423
24y = 423 - 189
24y = 234
y = 234/24
y = 9.75
x =$5.25
y = $9.75
The distance between two points can be found using the Pythagorean Theorem...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(-8-12)^2+(18-6)^2
d^2=400+144
d^2=544
d=√544 units
d=4√34 units
d≈23.3 units (to the nearest tenth of a unit)
Answer:
- 77
Step-by-step explanation:
To evaluate, substitute x = 4 into g(x) then substitute the value obtained into f(x).
g(4) = 4² + 3 = 16 + 3 = 19
f(19) = (- 4 × 19) - 1 = - 76 - 1 = - 77
