Solve the equations. 6. 10x + 2 = 32 7. 19 - 4c =17 8. 1.1x + 1.2x - 5.4 = -10 9. 2/3h - 1/3h + 11 = 8 10. 6(5 - 8v) + 12= -54 11. 21 (2- x) +12x =44 12. -2( 7-y ) + 4 = -4 13. the cost c ( in dollars) of making n watches is represented by c= 15n + 85. how many watches are made when the cost is $385?

6) 10x + 2 = 32

10x = 30

x = 3

7) 19 - 4c = 17

-4c = -2

c = 1/2

8) 1.1x + 1.2x - 5.4 = -10

2.3x - 5.4 = -10

2.3x = -4.6

x = -2

9) 2/3h - 1/3h + 11 = 8

1/3h = -3

h = -9

10) 6 (5 - 8v) + 12 = -54

30 - 48v + 12 = -54

42 - 48v = -54

-48v = -96

v = 2

11) 21 (2 - x) + 12x = 44

42 - 21x + 12x = 44

42 -9x = 44

-9x = 2

x = -2/9

12) -2 (7 - y) +4 = -4

-14 + 2y + 4 = -4

-10 + 2y = -4

2y = 6

y = 3

13) the cost c ( in dollars) of making n watches is represented by c= 15n + 85. how many watches are made when the cost is $385?

c = 15n + 85

385 = 15n + 85

300 = 15n

20 = n

20 watches

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

true

step-by-step explanation: