Is there an image i don’t understand what expressions you’re asking for?
Raj's conjecture is valid i.e an even number times an even or odd number will always be even.
Even numbers are number that can be divided by 2 without leaving a remainder. Examples are: 4, 6, 8, 20, 50 etc. While odd numbers can not be divided evenly by 2. Examples are: 7, 11, 17, etc
Thus, the conjecture can be proved as follows:
i. Even number times an even number
- 4 x 12 = 48
- 6 x 8 = 48
- 2 x 10 = 20
- 12 x 16 = 192
Thus, an even number multiplied by an even number would give an even number.
ii. Even number times an odd number
- 4 x 11 = 44
- 6 x 5 = 30
- 2 x 7 = 14
- 8 x 17 = 136
- Thus, an even number multiplied by an odd number would always give an even number.
Therefore, Raj's conjecture is valid.
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Let's assume
the price of each train ticket is x
we are given
total number of family members =5
so, total cost of ticket = total number of family members*the price of each ticket
so, total cost of ticket =5*x
so, total cost of ticket =5x
now, we have
each family member buys a boxed lunch for $6.50
so, total cost of lunch box = total number of family members*price of each lunch box
so, total cost of lunch box = 5*6.50
total cost of trip = total cost of ticket+total cost of lunch box
we are given
total cost of trip is $248.50
now, we can plug values
and we get
now, we can solve for x
so,
the price of each train ticket is $43.2..........Answer
More than translates to addition (+)
is translates to equals (=)
n+4=12
D control, the researchers are creating a control group that experience all of the same conditions of the test group (receiving a pill) but receive no benefit of the vitamin. It helps to reduce variable in the study to determine validity