Solve for x: 9x+16=6x+1.(1 point)
Responses
x=6
x equals 6
x=3
x equals 3
x=−4
x equals negative 4
x=−5
x equals negative 5
Solve for x: 4x−3=3x−9.(1 point)
Responses
x=−2
x equals negative 2
x=5
x equals 5
x=7
x equals 7
x=−6
x equals negative 6
Solve for x: 13x+26=3x−34.(1 point)
Responses
x=3
x equals 3
x=18
x equals 18
x=−9
x equals negative 9
x=−6
x equals negative 6
Solve ax−12=9.(1 point)
Responses
x=21a
x equals Start Fraction 21 over a End Fraction
x=−21a
x Equals negative Start Fraction 21 over a End Fraction
x=3a
x equals Start Fraction 3 over a End Fraction
x=−3a
x equals negative Start Fraction 3 over a End Fraction
To solve for x, we first need to isolate the variable.
Adding 12 to both sides of the equation, we get:
ax = 9 + 12
ax = 21
Now, to solve for x, we divide both sides of the equation by a:
x = 21/a
So, x equals 21/a.
The area of a rectangle is calculated with the formula A=lw. If the area of a rectangle is 52.5 m2 and the width is 5 m, what is the length? Explain the solution to the real-world problem.(1 point)
Responses
l=10.5
l equals 10.5
The length is 262.5 m.
The length is 262.5 m.
The length is 262.5 m2.
The length is 262.5 m squared .
The length is 10.5 m.
To find the length of the rectangle, we can rearrange the formula for the area of a rectangle:
A = lw
Given that the area is 52.5 m2 and the width is 5 m, we can substitute these values into the formula:
52.5 = 5 * l
To solve for l, we divide both sides of the equation by 5:
l = 52.5 / 5
l = 10.5
Therefore, the length of the rectangle is 10.5 meters.
To solve for x in the equation 9x + 16 = 6x + 1, you need to isolate the variable x on one side of the equation. Here's how you can do it:
1. Start by subtracting 6x from both sides of the equation to eliminate the 6x term:
9x + 16 - 6x = 6x + 1 - 6x
Simplify the equation:
3x + 16 = 1
2. Next, subtract 16 from both sides of the equation to move the constant term to the other side:
3x + 16 - 16 = 1 - 16
Simplify the equation:
3x = -15
3. Finally, divide both sides of the equation by 3 to solve for x:
(3x)/3 = -15/3
Simplify the equation:
x = -5
Therefore, x equals -5.