The square of an odd number:
We're to conjecture, not do algebra, apparently. 1²=1, 3²=9, 5²=25, 7²=49, ...
We conjecture the square of an odd number is odd.
The product of two evens and an odd:
Again, we'll run some examples.
(2)(2)(1)=4
(2)(4)(3)=24
(4)(6)(5) =120
(4)(8)(1)=32
Conjecture: The product of two evens and an odd is a multiple of 4
Counterexample: The product of two fractions is never an integer
How about
3/4 × 4/3 = 1
Answer:
Second graph
Step-by-step explanation:
See attached image.
Answer:
12x<180
14
Step-by-step explanation:
12x<180
x<180/12
x<15
Since x has to be less than 15, he took at most 14 people.
Answer:
20
Step-by-step explanation:
The triangles are similar so we can use ratios
8 32
--- = -----
8+5 32+x
Using cross products
8(32+x) = 32(13)
Divide each side by 8
(32+x) = 32(13)/8
32+x = 4*13
32+x =52
Subtract 32
x = 20
