Answer:
7.31 and 0.685
Step-by-step explanation:
x^2 -8x +5 = 0
use the quadratic formula
- (-8) + √(-8^2 -4(1)(5) / 2(1(
(8 + √(64 -20))/2
(8+√44)/2
8+6.63 / 2
14.63/2= 7.31
+7.31
(8- √44)/2 = 0.685
Answer:
14 boys paid for the full year fee and 4 boys paid for the partial year fee
Step-by-step explanation:
Create a system of equations, where x is the number that paid for the $24 fee and y is the number that paid for the $16 fee:
24x + 16y = 400
x = y + 10
Solve by substitution by plugging in y + 10 as x:
24x + 16y = 400
24(y + 10) + 16y = 400
Solve for y:
24y + 240 + 16y = 400
40y + 240 = 400
40y = 160
y = 4
Then, plug in 4 as y to find x:
x = y + 10
x = 4 + 10
x = 14
So, 14 boys paid for the full year fee and 4 boys paid for the partial year fee.
9a-ab+5b
9(2)-(2)(7)+5(7)
18-14+35
39
Answer:
x = 7
Step-by-step explanation:
5x - 2 + x = 9 + 3x + 10
6x - 2 = 9 + 3x + 10
6x - 2 = 3x + 19
6x = 3x + 21
3x = 21
x = 7
45 black dogs because 2/3 of 60 is 45
