Answer:
v = 6
Step-by-step explanation:
<u>Given</u>
3(3v-5) = 39
So,
3v - 5 = 39 / 3
=> 3v - 5 = 13
=> 3v = 13 + 5
=> 3v = 18
=> v = 18 / 3
=> v = 6
#HopeItHelps
There is only one repeating number, so we multiply both sides by
or
.
Now subtract the original number we had to both sides, which is the same as
or
So we have:
Divide 9 to both sides:
Multiply the fraction by 10 to get rid of the decimal in the numerator.
Simplify the fraction by dividing the numerator and denominator by 2:
In equations we always want to do the same thing to both sides so the equation stays equal
in an equation with one unknown (x) we try to get the unknown on one side
so -(x-10)
this means that you multiply everything in the equation by -1 or in other words you make everything in the parenthasees the opposite sign of what it is so
6x+3x-x+10=20x
add like terms
8x+10=20x
subtract 8x from boths sides
10=12x
divide both sides by 12
10/12=x=5/6
Answer:
53 hours
Step-by-step explanation:
If A is the time it takes Company A, and B is the time it takes Company B, then:
1/27 = 1/A + 1/B
A = B + 2
Substitute and solve:
1/27 = 1/(B + 2) + 1/B
1/27 = (B + B + 2) / (B (B + 2))
1/27 = (2B + 2) / (B² + 2B)
27 (2B + 2) = B² + 2B
54B + 54 = B² + 2B
0 = B² − 52B − 54
B = [ -(-52) ± √((-52)² − 4(1)(-54)) ] / 2(1)
B = (52 ± √2920) / 2
B ≈ 53.0
It would take Company B approximately 53 hours.
The cost with just the 10$ off would be 39.98
