A student solves the following equation:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: (2x+3x)−6=19
Step 3: 5x−6=19
Step 4: 5x−6+6=19+6
Step 5: 5x=25
Step 6: x=5
What property justifies going from step 3 to step 4?
(1 point)
Responses
Combine Like Terms
Combine Like Terms
Addition Property of Equality
Addition Property of Equality
Commutative Property of Addition
Commutative Property of Addition
Substitution Property
Substitution Property
Distributive Property
Combine Like Terms
your wrong
I apologize for the incorrect response. The property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the equality still holds. In this case, 6 is added to both sides to isolate the variable x on one side of the equation.
your wrong
I apologize for the confusion. The property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the equality still holds. In this case, 6 is added to both sides to isolate the variable x on one side of the equation.
are you sure'
I am confident that the property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property allows us to add the same quantity to both sides of an equation, without changing the equality. In this case, adding 6 to both sides allows us to eliminate the -6 term on the left side of the equation. As a result, we have 5x = 25.
Grandma is removing weeds from her garden. She estimates that there are 250 weeds in the garden at the moment, and she can remove weeds at a rate of 5 per minute. At this rate, how many minutes will it take her to only have 30 weeds remaining in the garden?
To find out how many minutes it will take for Grandma to have only 30 weeds remaining in the garden, we can set up an equation. Let's assume x represents the number of minutes it takes for her to remove the weeds.
Since Grandma removes 5 weeds per minute, then in x minutes, she would remove 5x weeds.
If Grandma starts with 250 weeds and removes 5x weeds, the number of remaining weeds would be 250 - 5x.
According to the problem, we want the number of remaining weeds to be 30. Therefore, we can set up the equation:
250 - 5x = 30
To solve for x, we can first subtract 30 from both sides of the equation:
250 - 30 - 5x = 30 - 30
220 - 5x = 0
Next, we can subtract 220 from both sides of the equation:
220 - 220 - 5x = 0 - 220
-5x = -220
Finally, we can divide both sides by -5 to isolate x:
-5x / -5 = -220 / -5
x = 44
Therefore, it will take Grandma 44 minutes to have only 30 weeds remaining in the garden.
The Celsius to Fahrenheit formula: F=95C+32
Solve this formula for C. Check all answers that are true.
(4 points)
Responses
First step is to multiply by 9 on each side.
First step is to multiply by 9 on each side.
First step is to add 32 to both sides.
First step is to add 32 to both sides.
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to divide both sides by 5
The next step from F - 32 = 9/5 C, could be to divide both sides by 5
Solution: 5/9F - 32 = C
Solution: 5/9F - 32 = C
To solve this equation for C, you would have to distribute at some point.