Answer:
Length of the rectangle = 16 inches
Width of the rectangle = 12 inches
Step-by-step explanation:
Let the length of the rectangle be represented by x.
Then width can be expressed as ![\[\frac{x}{2}+4\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B2%7D%2B4%5C%5D%0A)
Perimeter of a rectangle is the sum of four sides of the rectangle.
This can be expressed as 2*(length + breadth)
= ![\[2* (x + \frac{x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28x%20%2B%20%5Cfrac%7Bx%7D%7B2%7D%2B4%29%5C%5D)
= ![\[2* (\frac{3x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28%5Cfrac%7B3x%7D%7B2%7D%2B4%29%5C%5D)
= ![\[3x + 8\]](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%5C%5D)
But perimeter is given as 56.
So, ![\[3x + 8 = 56\] ](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%20%3D%2056%5C%5D%0A)
=> ![\[3x = 48\]](https://tex.z-dn.net/?f=%5C%5B3x%20%3D%2048%5C%5D)
=> ![\[x = 16\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%2016%5C%5D)
Hence length of the rectangle = 16 inches
Width of the rectangle = ![\[\frac{16}{2}+4\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B16%7D%7B2%7D%2B4%5C%5D)
= 12 inches
Let x represent the amount of months she has been saving for.
20x - 60 = 280
Solve for x.
20x - 60 = 280
~Add 60 to both sides
20x - 60 + 60 = 280 + 60
~Simplify
20x = 340
~Divide 20 to both sides
20x/20 = 340/20
~Simplify
x = 17
Therefore, Melanie has saved for 17 months.
Best of Luck!
Answer:
16
Step-by-step explanation:
1. Equations are:
3x + 2 = 5x + 8 and 7x + 2 = 7x - 4
2. The equation is:
2(32x - 2) = 2x + 36
64x - 4 = 2x + 36
3. You have to choose a classmate's question and answer.
4. You have to look at responses and comments.
Answer: possible values of Range will be values that are >=91 or <=998
Step-by-step explanation:
Given that :
Set Q contains 20 positive integer values. The smallest value in Set Q is a single digit value and the largest value in Set Q is a three digit value.
Therefore,
given that the smallest value in set Q is a one digit number :
Then lower unit = 1, upper unit = 9( this represents the lowest and highest one digit number)
Also, the largest value in Set Q is a three digit value:
Then lower unit = 100, upper unit = 999 ( this represents the lowest and highest 3 digit numbers).
Therefore, the possible values of the range in SET Q:
The maximum possible range of the values in set Q = (Highest possible three digit value - lowest possible one digit) = (999 - 1) = 998
The least possible range of values in set Q = (lowest possible three digit value - highest possible one digit value) = (100 - 9) = 91
