<span>1+5+9+13+17+21+25+29+33+37+41+45+49+53+57+61+65+69+ 73+77+81+85+89+93+97+101+105+109+113+117+121+125+129+133+137+141 = 2555</span>
25 / 2 = 12.5 or 12 remainder 1 .
12 stalls is not enough, because 12 stalls can only hold 24 hordes.
13 stalls must be built. 12 of them will have 2 horses each,
and one of them will only have one horse.
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Answer:
Jaime: yes: 29·31 = 900 -1 = 899
Raquel: 24·26 = 25^2 -1 = 624
Step-by-step explanation:
The difference of squares factors as the product of the sum and difference of the roots:
a^2 -b^2 = (a -b)(a +b)
<u>Jaime</u>
29·31 = (30 -1)(30 +1) = 30^2 -1^2 = 900 -1 = 899
Jaime can subtract 1 from 30^2 to find 29·31
__
<u>Raquel</u>
24·26 = (25 -1)(25 +1) = 25^2 -1^2 = 625 -1 = 624
Raquel can subtract 1^2 from 25^2 to find 24·26.
Answer:
Step-by-step explanation:
Let length and width of a rectangle be x, x+1
Area = 90 sq.cm
length * width = 90
x * (x + 1) = 90
x² + x = 90
x² + x - 90 = 0
x² + 10x - 9x - 9 * 10 = 0
x ( x + 10 ) - 9 (x + 10 ) = 0
(x + 10 ) (x - 9) = 0
x + 10 = 0 or x - 9 = 0
x = -10 { impossible . as length cannot be negative} ;
x = 9
Length = 9 , width = 10