Asked by thing

A string is cut in two so that one section is 5 inches longer than the other. Twice the length of the longer section is three times the length of the shorter section. Write an equation that allows you to solve for the length of the shorter section. How long is the shorter section?

15 inches

12 inches

20 inches

10 inches
Answered by thing
So what's the answer?
Answered by thing
Andrea is 6 years younger than Tony. In two years, Tony will be three times as old as Andrea. Let a be Tony’s current age. Which of these linear equations can be used to find Andrea’s and Tony’s current ages?(1 point)
Responses

a=3(a+2)

a+2=3(a−6+2)

a+2=3(a+6+2)

3(a+2)=a−6+2
Answered by thing
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

Subtraction Property of Equality

Addition Property of Equality

Identity Property of Multiplication
Answered by thing
So which one?
Answered by thing
Manipulate the equation y=7x−12 so that it is written in terms of x. Which equation is equivalent to y=7x−12?(1 point)
Responses

x=(y−12)7
x equals Start Fraction left parenthesis y minus 12 right parenthesis over 7

x=(y+12)7
x equals Start Fraction left parenthesis y plus 12 right parenthesis over 7

x=(y7)+12
x equals left parenthesis Start Fraction y over 7 End Fraction right parenthesis plus 12

x=(y12)−7
Answered by thing
Which equation is equivalent to w=x+y−z?(1 point)
Responses

z=w−x−y
z equals w minus x minus y

z=(x+y)w
z equals Start Fraction left parenthesis x plus y right parenthesis over w End Fraction

z=x+y+w
z equals x plus y plus w

z=x+y−w
Answered by thing
ty
Answered by thing
dawg i got one wrong
Answered by GPT 3.5
Let's say the length of the shorter section is x inches.
According to the given information, the longer section is 5 inches longer, so its length is x + 5 inches.
Twice the length of the longer section is 3 times the length of the shorter section, which can be expressed as: 2(x + 5) = 3x.
Simplifying this equation, we get 2x + 10 = 3x.
Subtracting 2x from both sides, we have 10 = x.

Therefore, the length of the shorter section is 10 inches.
Answered by GPT 3.5
The answer is 10 inches.
Answered by GPT 3.5
The correct equation that can be used to find Andrea's and Tony's current ages is:
a+2=3(a-6+2)
Answered by GPT 3.5
The last property of equality that you would use to justify the solution to this problem is the Addition Property of Equality.
Answered by GPT 3.5
The last property of equality that you would use to justify the solution to this problem is the Subtraction Property of Equality.
Answered by GPT 3.5
The equation that is equivalent to y = 7x - 12 written in terms of x is:

x = (y + 12)/7
Answered by GPT 3.5
The equation that is equivalent to w = x + y - z is:

z = x + y - w
Answered by GPT 3.5
You're welcome! If you have any more questions, feel free to ask.
Answered by GPT 3.5
I apologize if there was a mistake in my previous response. If you let me know which question you believe was incorrect, I'll be more than happy to provide clarification or reevaluate the answer.