Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
Answer: 300 years
Step-by-step explanation:
Let x be the age of Florentine statue,
Thus, According to the question,
The age of Roman statue = 3 x
After 100 years, the age of Florentine statue = x + 100
And, the age of Roman statue = 3x + 100
Again according to the question,
3x + 100 = 2( x + 100)
3x + 100 = 2x + 200
3x - 2 x = 200 - 100
x = 100
Therefore, the present age of Roman statue = 3 × 100 = 300 years
Answer:
y = 16, don't know if I'm 100% right but hope this helps.
Step-by-step explanation:
since they both equal Y they may be equal to each other
Then you would subtract 2x from both sides canceling it out on one side
2x + 8 = 5x - 4
-2x -2x
This would make the equation 8 = 3x - 4
next you add the 4 from both sides
8 = 3x - 4
+4 +4
This will leave you with 12 = 3x
now you divide 3 from both sides and 12/3 = 4 makes X = 4
next you take (4) and plug it in to one of the equations
y = 2(4) + 8
y = 8 + 8
y = 16
To make the second gear aligned with the first it would have to rotate 5 times, a total of 120 seconds and/or 2 minutes will pass
So the answer is I.
