Answer:
He lost 5 coconuts.
Step-by-step explanation:
When he divides the number left among 3 and 5 people the remainder is 2 in each case so the number that each person gets must be 15 or a multiple of 15.
So if x is the number left when he reaches home, then:
2 = x mod 3 and
2 = x mod 5
where x = 15 + 2 = 17 or 30 + 2 = 32 or 45 + 2 = 47.
But we also must satisfy 3 = x mod 4
If x = 17:
17 mod 4 = 1 so its not 17.
32 mod 4 = 0 so it's not 32.
47 mod 4 = 3 so x = 47.
Therefore the number he lost = 52 - 47 = 5.
Answer:80
Step-by-step explanation:
I fixed it!
Four consecutive integers... n, n+1, n+2, n+3.
The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.
n(n+3)=2n(n+3)-4 perform indicated multiplications...
n^2+3n=2n^2+6n-4 subtract n^2 from both sides
3n=n^2+6n-4 subtract 3n from both sides
n^2+3n-4=0 factor
n^2-n+4n-4=0
n(n-1)+4(n-1)=0
(n+4)(n-1)=0, and since n>0
n=1
So the four numbers are 1, 2, 3, 4
check...
1(4)=2(1)4-4
4=8-4
4=4
Answer: the number of the parking spot covered by the car is 87
Step-by-step explanation:
We want to determine the number assigned to the parking spot covered by the car. Looking closely at the numbers assigned to each spot, it can be seen that the numbers are inverted. The number assigned to each consecutive parking spot follows a constant order. The numbers are 86, ,87, 88, 89,90, 91.
Therefore, number assigned to the parking space covered by the car is 87
Answer:
(3)*(x) + (4)*(3)
Step-by-step explanation:
