Answer:
x = 1/2 or 2
Step-by-step explanation:
You can factor this as ...
2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring
2x(x -2) -1(x -2) = 0 . . . . factor by grouping
(2x -1)(x -2) = 0 . . . . factor out (x -2)
x = 1/2, 2 . . . . . . values of x that make the factors zero
So,
x + y = 117
y = x + 1
x + x + 1 = 117
Collect Like Terms
2x + 1 = 117
Subtract 1 from both sides
2x = 116
Divide both sides by 2
x = 58
y = x + 1
y = 58 + 1
y = 59
The 2 consecutive integers are 58 and 59.
Answer:
multiply the numbers next to the variables by the given subtitution for the variable so 5 times 14 plus 36 and 6 times 12.5 minus 1 and 4 times 14 plus 50
Step-by-step explanation:
Answer:
The percentage of workers not wearing the helmets is 5.3 %.
Step-by-step explanation:
A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence
total workers = 900
Not wearing helmet = 48
Percentage which are not wearing the helmets
=
%