Let's the name the first number x and the consecutive number x + 1. The sum of both of these numbers equals to 53.
We now have our equation:
x + x + 1 = 53
Now solve for x.
x + x + 1 = 53
2x + 1 = 53 <-- Combine like terms
2x = 52 <-- Subtract 1 from each side
x = 26
So, the first number is 26 and the second number is 27.
Answer:
If Andrea plays eight games at the arcade and wins 20 tickets per game then 8 x 20= 160.
If Andrea plays nine games at the arcade and wins 20 tickets per game then 9×20 = 180.
A= 9 games
Step-by-step explanation:
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Answer:
no
Step-by-step explanation:
The ratios of the two shortest sides are different:
3/2 ≠ 5/4
so the quadrilaterals cannot be similar.
Answer:
The number of complex roots is 6.
Step-by-step explanation:
Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.
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The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.