A canoe rental shop charges a $5 fixed fee plus $6 an hour for renting a canoe. Steve paid $53 to rent a canoe. Which equation, when solved for x, gives the number of hours he rented the canoe?
A) 6x + 53 = 5
B) 6x − 53 = 5
C) 6x + 5 = 53
D) 6x − 5 = 53
Solve the equation for x.
6(4x − 10) = 84
A) 2
B) 3
C) 4
D) 6
well, 53= 5 + 6 x
that is C
6(4x − 10) = 84
4 x - 10 =14
4 x = 24
x = 6
TYSM anonymous!
To solve the first question, we need to find the equation that represents the total cost of renting the canoe. Let's assume x represents the number of hours Steve rented the canoe.
According to the information given in the question, the canoe rental shop charges a $5 fixed fee plus $6 an hour for renting a canoe.
So, the equation representing the total cost can be written as:
Total cost = fixed fee + (hourly rate * number of hours)
Total cost = 5 + (6 * x)
Now, we need to find which equation, when solved for x, gives the number of hours Steve rented the canoe.
Let's evaluate the options:
A) 6x + 53 = 5 - This equation adds 53 to 6x, which is not correct since we need to add it to the fixed fee, not the total cost.
B) 6x - 53 = 5 - This equation subtracts 53 from 6x, which is again not correct since we need to add it to the fixed fee.
C) 6x + 5 = 53 - This equation adds 5 to 6x, which represents the fixed fee correctly.
D) 6x - 5 = 53 - This equation subtracts 5 from 6x, which is not correct.
Therefore, the correct equation is option C) 6x + 5 = 53.
Now, let's solve the second question:
6(4x - 10) = 84
To solve this equation for x, we need to simplify it by distributing 6 to the terms inside the parentheses:
24x - 60 = 84
Next, we'll isolate x by moving the constant term (60) to the other side:
24x = 84 + 60
24x = 144
Finally, we'll divide both sides of the equation by 24:
x = 144 / 24
x = 6
Therefore, the solution to the equation 6(4x - 10) = 84 is x = 6.