Answer:
500, or 400 if its 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
<span>c. translation i hope this helps you</span>
Consecutive integers are 1 apart
they are
x,x+1,x+2
the sum of their squares is 194
x²+(x+1)²+(x+2)²=194
expand
x²+x²+2x+1+x²+4x+4=194
x²+x²+x²+2x+4x+1+4=194
3x²+6x+5=194
minus 5 from both sides
3x²+6x=189
3(x²+2x)=189
divide both sides by 3
x²+2x=63
minus 63 from bot sides
x²+2x-63=0
what 2 numbers multiply to get -63 and add to get 2
-7 and 9
(x-7)(x+9)=0
set each to zero
x-7=0
x=7
x+9=0
x=-9
for x=7
x+1=8
x+2=9
for x=-9
x+1=-8
x+2=-7
the integers are 7,8,9 or -9,-8,-7
What we're ultimately asking here is how many times 6 goes into 324. The problem becomes a little simpler if we break 324 up into numbers that are easier to work with. 324 = 300 + 24; 6 goes into 300 50 times and 24 4 times, so 6 goes into 324 a total of 50 + 4 = 54 times.
So, the prize-winning pumpkin weighs 54 times as much.
