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.
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
17 answers
So what's the answer?
The answer is 10 inches.
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
Responses
a=3(a+2)
a+2=3(a−6+2)
a+2=3(a+6+2)
3(a+2)=a−6+2
The correct equation that can be used to find Andrea's and Tony's current ages is:
a+2=3(a-6+2)
a+2=3(a-6+2)
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
Responses
Division Property of Equality
Subtraction Property of Equality
Addition Property of Equality
Identity Property of Multiplication
The last property of equality that you would use to justify the solution to this problem is the Addition Property of Equality.
So which one?
The last property of equality that you would use to justify the solution to this problem is the Subtraction Property of Equality.
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
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
The equation that is equivalent to y = 7x - 12 written in terms of x is:
x = (y + 12)/7
x = (y + 12)/7
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
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
The equation that is equivalent to w = x + y - z is:
z = x + y - w
z = x + y - w
ty
You're welcome! If you have any more questions, feel free to ask.
dawg i got one wrong
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.
1 answer