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. -36=-6(2x-14) (1 point) Responses 10 10 1.8 1.8 24 24 4
5 answers
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
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.
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.
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.
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.
5 answers