Dont u think their should be more points for 4 hard questions
Answer:
he sold 4 boxes of cookies and 3 chocolate bars
Step-by-step explanation:
5+5+5+5 = 20 3+3+3 = 9 so add 20+9 = 29
Answer:
5/21
Step-by-step explanation:
1. 5/7 divided by 3 is the same as 5/7 divided by 3/1
2. when dividing a fraction, multiply by the reciprocal, so it would be 5/7 times 1/3
3. multiply the numerator and denominators, so 5x1 and 3x7
4. the answer is 5/21
hope this helped!
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
If you look at the circle, the numbers given add up to 11. The interior angles of a circle always add up to 180 degrees. If you add zeroes onto the numbers given they become 30, 20, and 60. These add up to 110. Out of the choices given the only one that would make sense is 7, because if you add a zero onto 7 it becomes 70. 110 + 70 = 180.
Therefore, the answer is 7.
Hope this helps!
~Ash
