Answer: 2/8.
Step-by-step explanation:
When we have this type of problem, the usual way to solve them is trying with known types of sequences.
I will start with the arithmetic sequence, where the difference between any two consecutive terms is a constant. And if we call this difference as D, we will have the recursive relation:
Aₙ = Aₙ₋₁ + D
To check if this sequence is an arithmetic sequence, we can take the first two terms and see the difference:
(5/8 - 3/4) = (5/8 - 6/8) = -1/8.
Now let's do the same, but with the second and third terms:
(1/2 - 5/8) = (4/8 - 5/8) = -1/8
The difference is the same, -1/8.
Now we can use the recursive relationship above and the last given term of the sequence to find the next one:
A₅ = A₄ + (-1/8)
A₅ = 3/8 - 1/8 = 2/8
Then the next fraction in the sequence was 2/8.
Answer:
5.2%
Step-by-step explanation:
Volume of cylinder= πr²h
In Container A,
D= 18ft, r=18/2=9ft, h=15ft
volume= 22/7 × 9² × 15
= 26730/7 cubic ft.
In Container B,
D=16ft, r= 16/2=8ft, h=18ft
volume= 22/7 × 8² × 18
= 25344/7 cubic ft.
percent of amount of water left in Container A= percent of container A that is full after pumping
Amount of water left in Container A,
26730/7 - 25344/7 = 1386/7
Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100
(1386×7×100)/(7×26730)= 5.185
To the nearest tenth= 5.2%
Answer:
y = -x +4
Step-by-step explanation:
2x+5y = 3y+8
Subtract 3y from each side
2x+5y-3y = 3y-3y+8
2x+2y = 8
Subtract 2x from each side
2x+2y -2x = -2x+8
2y = -2x+8
Divide by 2
2y/2 = -2x/2 +8/2
y = -x +4
Answer:
6x-5=3x+10
6x-3x=10+5
3x=15
3x÷3=15÷3
x =5
Step-by-step explanation:
pliz mark brainliest
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation: