Solve the equation. -36=-6(2x-14) (1 point) Responses 10 10 1.8 1.8 24 24 4
To solve the equation -36=-6(2x-14), we can start by simplifying the right side of the equation.
First, distribute the -6 to both terms inside the parentheses:
-36 = -12x + 84
Next, we can isolate the variable by subtracting 84 from both sides of the equation:
-36 - 84 = -12x + 84 - 84
-120 = -12x
Finally, we can solve for x by dividing both sides of the equation by -12:
-120 ÷ -12 = -12x ÷ -12
10 = x
Therefore, the solution to the equation is x = 10.
Solve the equation. 2+x/-10=2/5(1 point) Responses Image with alt text: negative 16 Image with alt text: negative 24 16 16 24
You are ordering pizzas for a birthday party and getting them delivered to your house. You order 12 pepperoni pizzas, 8 cheese pizzas, and 4 Hawaiian pizzas. There is a delivery fee of $5.50. If your total comes to $184.54, how much was each pizza? Assume that all types of pizza cost the same amount. (1 point) Responses $7.46 $7.46 - no response given $7.69 $7.69 - incorrect $8.95 $8.95 - no response given $12.79
Let's denote the cost of each pizza as "x".
For the 12 pepperoni pizzas, the total cost is 12x.
For the 8 cheese pizzas, the total cost is 8x.
For the 4 Hawaiian pizzas, the total cost is 4x.
Adding up all these costs, we have: 12x + 8x + 4x = 24x.
We also add the delivery fee of $5.50: 24x + 5.50.
According to the problem, the total cost comes to $184.54. Therefore, we set up the following equation:
24x + 5.50 = 184.54
Now, we can solve for x.
Subtracting 5.50 from both sides of the equation:
24x = 179.04
Dividing both sides of the equation by 24:
x = 179.04 / 24
Calculating the result:
x ≈ 7.46
Therefore, each pizza costs approximately $7.46.
The correct response is $7.46.
To solve the equation -36 = -6(2x-14), we can follow these steps:
1. Distribute the -6 to the terms inside the parentheses:
-36 = -12x + 84
2. Move the constant term -36 to the right side of the equation by subtracting it from both sides:
-36 - 84 = -12x + 84 - 84
-120 = -12x
3. Divide both sides of the equation by -12 to isolate x:
-120 / -12 = -12x / -12
10 = x
Therefore, the solution to the equation is x = 10.
To solve the equation -36 = -6(2x - 14), we can follow these steps:
1. Distribute the -6 to the terms inside the parentheses: -36 = -12x + 84.
2. Rearrange the equation so that the variable term is on one side and the constant term is on the other side. We can do this by subtracting 84 from both sides: -36 - 84 = -12x.
Simplifying, we get -120 = -12x.
3. Divide both sides of the equation by -12 to isolate the variable: -120 / -12 = x.
Performing the division, we find x = 10.
Therefore, the solution to the equation -36 = -6(2x - 14) is x = 10.
To solve the equation (2 + x) / -10 = 2/5, we can start by cross-multiplying.
First, we multiply both sides of the equation by -10:
(-10) * (2 + x) / -10 = (-10) * (2/5)
This simplifies to:
2 + x = (-20) / 5
Next, we can simplify the right side of the equation:
2 + x = -4
Then, we can isolate the variable by subtracting 2 from both sides of the equation:
2 + x - 2 = -4 - 2
This simplifies to:
x = -6
Therefore, the solution to the equation is x = -6.