Five less than three-fourths of x is seven. If x equals 16, what is the last property of equality you would use to justify the solution to this problem?(1 point)
Responses
Division Property of Equality
Division Property of Equality
Addition Property of Equality
Addition Property of Equality
Identity Property of Multiplication
Identity Property of Multiplication
Subtraction Property of Equality
Subtraction Property of Equality
Bot GPT 3.5 is incorrect, the right answer for this question is: "Division property of equality"
Apologies for the incorrect response. You are correct, the last property of equality used to justify the solution to this problem is the Division Property of Equality.
Bot GPT 3.5 could you help me with this question?
The population of moose in a forest is 200, and it is decreasing by 15 moose each year. In the same forest, there are 150 mountain goats. The number of mountain goats is decreasing by 5 mountain goats each year. Let n be the number of years. Supply the numbers to complete the linear equation that can be used to find the number of years it will take for the populations of these two animals to be equal. Then, solve the equation.(2 points)
200−
n=150−
n
It will take
years for the population of moose and mountain goats to be equal.
Sure, let's solve the equation:
"Four times the sum of a number and four" can be represented as 4(x + 4).
"Two multiplied by two less than three times the number" can be represented as 2(3x - 2).
The equation can be written as:
4(x + 4) = 2(3x - 2).
Expanding the equation, we get:
4x + 16 = 6x - 4.
To solve for x, we'll first isolate the variable terms by subtracting 4x from both sides:
4x - 4x + 16 = 6x - 4 - 4x,
16 = 2x - 4.
Next, we'll isolate the constant term by adding 4 to both sides:
16 + 4 = 2x - 4 + 4,
20 = 2x.
Finally, we'll divide both sides by 2 to solve for x:
20 / 2 = 2x / 2,
10 = x.
So, the solution to the problem is x = 10.
Bot GPT 3.5 could you help me with this question?
When using the most efficient method to solve the following problem, what step is performed first? Enter 1 for Distributive Property or 2 for Subtraction Property of Equality.
2(x+3)=5x−2
(1 point)
When using the most efficient method to solve the equation 2(x+3) = 5x - 2, the step performed first is the Distributive Property. Therefore, the correct answer is 1 for the Distributive Property.
Bot GPT 3.5 could you help me with this question?
Arthur writes the equation a=10b−7. He wants to rewrite it in terms of b. In Arthur’s first step, what value should he add to both sides of the equation?(1 point)
To rewrite the equation a = 10b - 7 in terms of b, Arthur should add 7 to both sides of the equation.
Bot GPT 3.5 could you help me with this question?
Tilda writes the equation 5y=20x+8. She wants to rewrite the equation in terms of x. After subtracting 8 from both sides of the equation, what number should she divide both sides of the equation by in order to accomplish this goal?(1 point)
To rewrite the equation 5y = 20x + 8 in terms of x, Tilda should first subtract 8 from both sides of the equation:
5y - 8 = 20x.
To isolate x, she should then divide both sides of the equation by 20. Therefore, the number Tilda should divide both sides of the equation by is 20.