X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.
Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
Write the decimal number as a fraction
(over 1)
3.1818 = 3.1818 / 1
Multiplying by 1 to eliminate 4 decimal places
we multiply top and bottom by 4 10's
Numerator (N)
N = 3.1818 × 10 × 10 × 10 × 10 = 31818
Denominator (D)
D = 1 × 10 × 10 × 10 × 10 = 10000
N / D = 31818 / 10000
Simplifying your fraction
= 31818/10000
= 15909/5000
= 3 909/5000. Hope this helped!!!
Answer:
It gets quadrupled.
Step-by-step explanation:
Volume of cylinder is directly proportional to Height(h) and square of radius of base (r) with π as Constant of proportionality. ... If the height of a cylinder is doubled then the volume will get doubled. But, if the radius of the cylinder is doubled then the volume will get quadrupled.
Set p(x) = 0 and solve for x.
x^3 - 4x^2 + 3x - 12 = 0
x^3 - 4x^2 ... + 3x - 12 = 0, cut in half and factor
x^2 (x-4) ... +3 (x-4) = 0, regroup
(x^2 + 3) (x-4) = 0, set each part equal to zero and solve
x^2 + 3 = 0, subtract 3 from both sides
x^2 = -3, take square root of both sides
x = sqrt (-3) which is imaginary.
x-4 = 0, add 4 to both sides
x = 4
Since we do not want complex/imaginary numbers involved, our answer is 4. They will break even in 4 years.
20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3
I think this is how it is.
All you need to do is separate the numbers by each value... For example, the millions, the one hundred thousands, the ten thousands, the thousands, the tens, and the ones.