Answer:
8.76
Step-by-step explanation:
Simplifying
15.00 + -6.24 = b
Combine like terms: 15.00 + -6.24 = 8.76
8.76 = b
Solving
8.76 = b
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-1b' to each side of the equation.
8.76 + -1b = b + -1b
Combine like terms: b + -1b = 0
8.76 + -1b = 0
Add '-8.76' to each side of the equation.
8.76 + -8.76 + -1b = 0 + -8.76
Combine like terms: 8.76 + -8.76 = 0.00
0.00 + -1b = 0 + -8.76
-1b = 0 + -8.76
Combine like terms: 0 + -8.76 = -8.76
-1b = -8.76
Divide each side by '-1'.
b = 8.76
Simplifying
b = 8.76
Given that Jerry mows 3/20 yards of lawn in 1/6 hour.
Now we have to found how much Jerry can mow per hour.
We know that "work" and "time" are in direct proportion so we can setup the ratio of work and time to easily find the required work.





Hence final answer is
yards.
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n