x + 6 = 24

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

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.

Libianca Libianca answered
7 months ago

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?

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

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.

Libianca Libianca answered
7 months ago

-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

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

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.

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