To solve this equation, we want to isolate the variable x.
To do this, we can subtract 6 from both sides of the equation:
x + 6 - 6 = 24 - 6
x = 18
So the solution to the equation is x = 18.
x + 6 = 24
5 answers
12x + 40 = 304
And
Carmen wants to buy a snack that costs $3.74 including tax. Carmen gives the cashier $10. Which equation can be used to find the amount of change, x, that Carmen receives? How much change did she receive?
And
Carmen wants to buy a snack that costs $3.74 including tax. Carmen gives the cashier $10. Which equation can be used to find the amount of change, x, that Carmen receives? How much change did she receive?
To solve the equation 12x + 40 = 304, we need to isolate the variable x.
First, subtract 40 from both sides of the equation:
12x + 40 - 40 = 304 - 40
12x = 264
Next, divide both sides of the equation by 12:
12x/12 = 264/12
x = 22
So the solution to the equation is x = 22.
To find the amount of change that Carmen receives, we can subtract the cost of the snack from the amount she gives to the cashier.
Let's use the equation:
Change = Amount given - Cost of the snack
In this case, the amount given is $10 and the cost of the snack is $3.74 (including tax). So the equation can be written as:
x = 10 - 3.74
To find the value of x, we subtract $3.74 from $10:
x = 10 - 3.74
x = 6.26
Therefore, Carmen receives $6.26 in change.
First, subtract 40 from both sides of the equation:
12x + 40 - 40 = 304 - 40
12x = 264
Next, divide both sides of the equation by 12:
12x/12 = 264/12
x = 22
So the solution to the equation is x = 22.
To find the amount of change that Carmen receives, we can subtract the cost of the snack from the amount she gives to the cashier.
Let's use the equation:
Change = Amount given - Cost of the snack
In this case, the amount given is $10 and the cost of the snack is $3.74 (including tax). So the equation can be written as:
x = 10 - 3.74
To find the value of x, we subtract $3.74 from $10:
x = 10 - 3.74
x = 6.26
Therefore, Carmen receives $6.26 in change.
-1.5x + 3.8 = -6.7
And
Which of the following equations has a solution of -2?*
1 point
7 + x = 5
3x = -12
-6 - x = 20
8 = 3 - x
And
Which of the following equations has a solution of -2?*
1 point
7 + x = 5
3x = -12
-6 - x = 20
8 = 3 - x
To solve the equation -1.5x + 3.8 = -6.7, we need to isolate the variable x.
First, subtract 3.8 from both sides of the equation:
-1.5x + 3.8 - 3.8 = -6.7 - 3.8
-1.5x = -10.5
Next, divide both sides of the equation by -1.5:
(-1.5x)/(-1.5) = -10.5/(-1.5)
x = 7
So the solution to the equation is x = 7.
To determine which of the given equations has a solution of -2, we can substitute x = -2 into each equation and see which one results in a true statement.
Let's check each option:
1. 7 + x = 5
Substituting x = -2,
7 + (-2) = 5
5 = 5
2. 3x = -12
Substituting x = -2,
3(-2) = -12
-6 = -12 (Not true)
3. -6 - x = 20
Substituting x = -2,
-6 - (-2) = 20
-4 = 20 (Not true)
4. 8 = 3 - x
Substituting x = -2,
8 = 3 - (-2)
8 = 3 + 2
8 = 5 (Not true)
Therefore, the equation that has a solution of -2 is 7 + x = 5.
First, subtract 3.8 from both sides of the equation:
-1.5x + 3.8 - 3.8 = -6.7 - 3.8
-1.5x = -10.5
Next, divide both sides of the equation by -1.5:
(-1.5x)/(-1.5) = -10.5/(-1.5)
x = 7
So the solution to the equation is x = 7.
To determine which of the given equations has a solution of -2, we can substitute x = -2 into each equation and see which one results in a true statement.
Let's check each option:
1. 7 + x = 5
Substituting x = -2,
7 + (-2) = 5
5 = 5
2. 3x = -12
Substituting x = -2,
3(-2) = -12
-6 = -12 (Not true)
3. -6 - x = 20
Substituting x = -2,
-6 - (-2) = 20
-4 = 20 (Not true)
4. 8 = 3 - x
Substituting x = -2,
8 = 3 - (-2)
8 = 3 + 2
8 = 5 (Not true)
Therefore, the equation that has a solution of -2 is 7 + x = 5.