Answer:
Part A:
x+y= 95
x = y+25
Part B: 35 minutes
Part C: No
Step-by-step explanation:
Eric spends a total of 95 minutes daily playing basketball and volleyball combined.
x+y= 95
Where:
x =minutes Eric plays basketball
y = minutes he allocates to volleyball
He dedicates 25 minutes more to basketball compared to volleyball.
x = y+25
Equations are:
x+y= 95
x = y+25
Substituting x=y+25 into the first equation yields:
(y+25) + y =95
Solving for y
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
Part C: No
If x = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Inserting y=60 into the other equation:
x = y+25
35 = 60+25
35 ≠85
I trust this will assist you.
Answer:
The charge for the first three hours is $4 per hour.
Subsequently, the rate decreases to $2 per hour until the sixth hour.
Between the sixth and tenth hours, the cost is reduced further to $1 per hour.
The maximum charge for renting the bike is $30.
Step-by-step explanation:
The incline on the graph indicates the hourly rate for the bike rental.
During the initial three hours, the rental fee rises by $4 for each hour.
From the third to the sixth hour, the graph’s slope indicates a rate of $2 per hour for the rental.
The charge drops to $1 per hour from the sixth to the tenth hour.
After the tenth hour, the price, P, remains constant. The highest fee for the bike rental is $30.
The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190
Conclusion: the first term is 190
Response:
First, subtract one-half from each side of the equation.
Next, divide both sides by 6/7.
Then, multiply each side by 7/6.
Detailed explanation:
I simply took the question on ed.
