Answer:
The value of x is 8 gallon.
Step-by-step explanation:
Given a table showing approximate conversion from gallons to liters.
Number of Gallons 2 4 x
Number of Liters 7.6 15.2 30.4
We are required to find value of x,
Given : 2 gallon is equal to 7.6 liters.
⇒ 1 liter is equal to
liters. ........(1)
given, x gallon equal to 30.4 liters.
⇒ 1 liter is equal to
liters. .........(2)
from (1) and (2),
⇒ 
Solving for x, we get,
⇒ 
⇒ 
Approximately x = 8
Thus, the value of x is 8 gallon.
We are given
arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103
so, first term is 124
u(1)= 124
now, we can find common difference



now, we can find kth term

now, we can plug values
and we get



u(k) must be negative
so,


now, we can solve for k


so, it's closest integer value is
..............Answer
Answer:
The team has 92 wins and 38 losses.
Step-by-step explanation:
In a season 130 games are played by a baseball team.
Let us assume that the team wins x games and losses y games.
Therefore, we can write, x + y=130....... (1)
It is given that if the team won sixteen more games twice as many games as it lost.
So, we can conclude that x =2y+16 ......(2)
Hence, solving equations (1) and (2) we get, (2y+16) + y =130
⇒ 3y = 114
⇒ y =38
And from equation (2), x = 2×38 + 16 = 92
Therefore, the team has 92 wins and 38 losses. (Answer)
Answer:
356 ft³ per month.
Step-by-step explanation:
From the question,
Water flows at a rate of 710 pints per day.
We shall convert 710 pints to cubic feet (ft³).
This can be obtained as follow:
1 pint = 0.0167 ft³
Therefore,
710 pints = 710 × 0.0167 = 11.857 ft³
From the calculations made above, 710 pints is equivalent to 11.857 ft³.
Thus, we can say that water flows at a rate of 11.857 ft³ per day.
Finally, we shall determine the rate of flow of water in cubic feet per month.
Note: there are 30 days in a month.
Water flow at a rate of 11.857 ft³ per day.
Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³
Thus, the flow rate of water is 356 ft³ per month.