Volume of 1/4 gal
= Volume of 2/3 bin
Volume(x gal)
= Volume( 1 bin)
So, (1/4)/(2/3)
= x/1
(1/4)/(2/3)
= x
(1/4)/(3/2)
x = 3/8 (Total balance required to fill the entire bin)
In order to fill the bin, the additional gallons need to be added to the initial 1/4 gallon
Therefore, 3/8 - 1/4 = 1/8 gallons
Hope that helps!!!!
Answer:
The constant in the algebraic expression to represent the pattern below is 4.
Step-by-step explanation:
Imortant Tip:
- An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms
Given the pattern

computing the differences of all the adjacent terms

The difference between all the adjacent terms of the pattern is the same which is

Hence, the given pattern represents the Arithmetic sequence.
Therefore, the constant in the algebraic expression to represent the pattern below is 4.
x -y = 1
5x + 3y = 45
Solve the first equation for x: x = y + 1
Substitute x in the second with y + 1
5x + 3y = 45
5(y + 1) + 3y = 45
5y + 5 + 3y = 45
8y + 5 = 45
8y = 40
y = 5
Substitute 5 for y in x = y + 1
x = y + 1
x = 5 + 1
x = 6
Answer: (6, 5)
m: m represents the slope an equation, b is the y-intercpt...