To find the value of 𝑦 in the equation 6(𝑦 ― 1.5) = 30, we need to isolate 𝑦 on one side of the equation.
First, distribute 6 to 𝑦 ― 1.5:
6𝑦 - 9 = 30
Next, isolate 𝑦 by adding 9 to both sides of the equation:
6𝑦 = 30 + 9
6𝑦 = 39
Finally, divide both sides of the equation by 6 to solve for 𝑦:
𝑦 = 39 / 6
𝑦 = 6.5
Therefore, the value of 𝑦 in the equation 6(𝑦 ― 1.5) = 30 is 6.5.
What is the value of 𝑦 in the equation below?
6(𝑦 ― 1.5) = 30
3 answers
To rent a car you need to pay a flat fee plus $0.20 for each mile that you drive. Which equation could be used to solve for the price of the initial fee if the total cost of a rental was $60 when the car was driven 40 miles?
Let 𝑥 represent the initial fee, and let 𝑦 represent the total cost of the rental.
The equation that could be used to solve for the price of the initial fee is:
𝑥 + 0.20(𝑦 - 𝑥) = 𝑦
In this case, the total cost of the rental is $60, and the car was driven 40 miles.
Substituting these values into the equation, we have:
𝑥 + 0.20(60 - 𝑥) = 60
Simplifying the equation gives:
𝑥 + 12 - 0.20𝑥 = 60
Combining like terms:
0.80𝑥 + 12 = 60
Subtracting 12 from both sides of the equation:
0.80𝑥 = 60 - 12
0.80𝑥 = 48
Dividing both sides of the equation by 0.80 to solve for 𝑥:
𝑥 = 48 / 0.80
𝑥 = 60
Therefore, the initial fee for the car rental is $60.
The equation that could be used to solve for the price of the initial fee is:
𝑥 + 0.20(𝑦 - 𝑥) = 𝑦
In this case, the total cost of the rental is $60, and the car was driven 40 miles.
Substituting these values into the equation, we have:
𝑥 + 0.20(60 - 𝑥) = 60
Simplifying the equation gives:
𝑥 + 12 - 0.20𝑥 = 60
Combining like terms:
0.80𝑥 + 12 = 60
Subtracting 12 from both sides of the equation:
0.80𝑥 = 60 - 12
0.80𝑥 = 48
Dividing both sides of the equation by 0.80 to solve for 𝑥:
𝑥 = 48 / 0.80
𝑥 = 60
Therefore, the initial fee for the car rental is $60.