Part A:
The equation that can be used to find the value of x for this situation is:
(2)(x + 3) = 8
Part B:
To solve the equation for x, we can start by expanding the equation:
2x + 6 = 8
Next, we can subtract 6 from both sides of the equation:
2x = 2
Finally, we can divide both sides of the equation by 2 to solve for x:
x = 1
Part A
The top of a table has dimensions 2 ft by x + 3ft and has an area of 8 ft^2.
Which of the following equations can be used to find the value of x for this situation?
Part B
Solve the equation for x
x=
7 answers
Six times a number decreased by ten is eight. Find the number
To find the number, we can set up the equation:
6x - 10 = 8
Next, we can add 10 to both sides of the equation:
6x = 18
Finally, we can divide both sides of the equation by 6 to solve for x:
x = 3
Therefore, the number is 3.
6x - 10 = 8
Next, we can add 10 to both sides of the equation:
6x = 18
Finally, we can divide both sides of the equation by 6 to solve for x:
x = 3
Therefore, the number is 3.
Aniyah goes to the store and spents $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
Part A
Which of the following sequences of step can be used to find the cost of each frozen meal?
Part B Which of the following shows the algebraic steps used to solve an equation to determine the cost of each frozen meal?
Part A
Which of the following sequences of step can be used to find the cost of each frozen meal?
Part B Which of the following shows the algebraic steps used to solve an equation to determine the cost of each frozen meal?
Part A:
One possible sequence of steps to find the cost of each frozen meal could be:
1. Subtract the amount spent on paper towels from the total amount spent at the store: $22 - $9 = $13
2. Divide the remaining amount equally between the two frozen meals: $13 / 2 = $6.50
Part B:
The following shows the algebraic steps used to solve an equation to determine the cost of each frozen meal:
Let x be the cost of each frozen meal.
Equation: 2x = 13
Explanation: Since Aniyah spent $13 on two frozen meals, we can represent the cost per meal as x. Since she bought two meals, the total cost would be 2x. The equation 2x = 13 represents this scenario.
To solve the equation, we divide both sides by 2:
2x / 2 = 13 / 2
x = 6.50
Therefore, the cost of each frozen meal is $6.50.
One possible sequence of steps to find the cost of each frozen meal could be:
1. Subtract the amount spent on paper towels from the total amount spent at the store: $22 - $9 = $13
2. Divide the remaining amount equally between the two frozen meals: $13 / 2 = $6.50
Part B:
The following shows the algebraic steps used to solve an equation to determine the cost of each frozen meal:
Let x be the cost of each frozen meal.
Equation: 2x = 13
Explanation: Since Aniyah spent $13 on two frozen meals, we can represent the cost per meal as x. Since she bought two meals, the total cost would be 2x. The equation 2x = 13 represents this scenario.
To solve the equation, we divide both sides by 2:
2x / 2 = 13 / 2
x = 6.50
Therefore, the cost of each frozen meal is $6.50.
Can you show the steps
Certainly! Here are the steps in solving the equation to determine the cost of each frozen meal:
1. Start with the equation: 2x = 13
2. Divide both sides of the equation by 2 to isolate the variable x:
(2x) / 2 = 13 / 2
x = 13 / 2
3. Simplify the right side of the equation:
x = 6.5
Therefore, the cost of each frozen meal is $6.50.
1. Start with the equation: 2x = 13
2. Divide both sides of the equation by 2 to isolate the variable x:
(2x) / 2 = 13 / 2
x = 13 / 2
3. Simplify the right side of the equation:
x = 6.5
Therefore, the cost of each frozen meal is $6.50.
1 answer