9514 1404 393
Answer:
geometric
Step-by-step explanation:
The signs of the terms alternate, so it cannot be an arithmetic sequence.
The ratios of terms are ...
6/-3 = -12/6 = 24/-12 = -2
The terms have a constant ratio of -2, so the sequence is geometric.
1.
He fills 5/6 lb per bag.
If he fills up 6 bags, he will use 6 * 5/6 lb = 5 lb.
Since he gets peanuts in 2-lb bags, he'd use 2 1/2 2-lb bags.
If he fills double that amount, 10 5/6-lb bags, he will use 10 lb of peanuts which is exactly 5 2-lb bags.
Answer: He should buy 5 2-lb bags.
2.
Each board has length x.
He cuts 3/5 of the length.
Each leftover piece is 2/5 of the length, or 2/5 x.
When he puts together several of the leftover pieces, he has 4 times the length of the original board, or 4x.
4x/(2/5 x) = 4x * 5/2 x = 10x
He has cut 10 boards.
Answer:
35
Step-by-step explanation:
Given
n (A) = 15
n (B) = 20
Students who do not like any subject = 5
Hence, number of students who would like either both or either of the two subjects = 60-5 = 55
n (A or B) = n (A) + n (B) - n (A and B)
Number of students linking both the subjects
55 - 15-20
= 55-35 = 20
Number of students linking only one subject = 60-20-5 = 35
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
The function tule for the table is
y = 2x
If you line the table vertically, you can see the x value is +1 because how does 0 go to 1, you add one to it.
With the y variable, you can view its being multiplied by 2 since 5x2 = 10 , 10x2 = 20 and so on.
Therefore the function rule is y=2x
