12+4n/3 = 8
Not multiple choice.. trying to find n. My answer is 7
9a - 3(a -6) = -6
Not multiple choice.. I'm not quite sure how to do this
The width of a rectangle is 6 in. less than its length. The perimeter is 68 in.
What is the width of the rectangle?
Not multiple choice.. my answer is 6
12+4n/3 = 8
4n/3 = -4
4n = -12
n = -3
Sub your answer and mine back into the original problem. Which one works?
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9a - 3(a -6) = -6
9a - 3a + 18 = -6
Take it from there.
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If the width is 6, the length must be 12.
P = 2L + 2W
68 = 24 + 12
Nope! That doesn't work. Try again.
Yours
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I'm still not sure
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56
Combine like terms and solve for a.
56 is not the width.
To find the value of n in the equation 12 + (4n/3) = 8, you can follow these steps:
Step 1: Subtract 12 from both sides of the equation to isolate the term containing n.
12 + (4n/3) - 12 = 8 - 12
4n/3 = -4
Step 2: Multiply both sides of the equation by 3 to eliminate the fraction.
(4n/3) * 3 = -4 * 3
4n = -12
Step 3: Divide both sides of the equation by 4 to solve for n.
4n/4 = -12/4
n = -3
Therefore, the value of n in the equation is -3.
To solve the equation 9a - 3(a - 6) = -6, you can apply the distributive property and follow these steps:
Step 1: Distribute the -3 to both terms inside the parentheses.
9a - 3a + 18 = -6
Step 2: Combine like terms on the left side of the equation.
6a + 18 = -6
Step 3: Subtract 18 from both sides of the equation to isolate the term containing a.
6a + 18 - 18 = -6 - 18
6a = -24
Step 4: Divide both sides of the equation by 6 to solve for a.
6a/6 = -24/6
a = -4
Therefore, the value of a in the equation is -4.
To solve the problem of finding the width of a rectangle with a length and perimeter given, follow these steps:
Step 1: Let's assume the length of the rectangle is L. According to the problem, the width is 6 inches less than the length, so the width can be represented as L - 6.
Step 2: The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 68 inches. So, we can write it as:
2(L + L-6) = 68
Step 3: Simplify the equation and solve for L.
2(2L - 6) = 68
4L - 12 = 68
4L = 80
L = 20
Step 4: Substitute the value of L back into the expression for the width, which is L - 6.
Width = 20 - 6
Width = 14
Therefore, the width of the rectangle is 14 inches.