Answer:
I think that the answer is 432.
Step-by-step explanation:
6x2y3.We have x as 6 and y as 2.So we replace them with their numbers.
We'll have 6*6*2*2*3 which will give us 432. I HOPE THIS HELPS.
Here are the coordinates :)
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: ![Perimeter=2(length+width)](https://tex.z-dn.net/?f=Perimeter%3D2%28length%2Bwidth%29)
Putting values and making equation:
![244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16](https://tex.z-dn.net/?f=244%3D2w%2B2%28w%2B90%29%5C%5CSolving%3A%5C%5C244%3D2w%2B2w%2B180%5C%5C244%3D4w%2B180%5C%5CSwitching%5C%3Asides%5C%5C4w%2B180%3D244%5C%5CSubtracting%5C%3A180%5C%3Afrom%5C%3Aboth%5C%3Asides%5C%5C4w%3D244-180%5C%5C4w%3D64%5C%5CDividing%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A4%5C%5C%5Cfrac%7B4w%7D%7B4%7D%20%3D%5Cfrac%7B64%7D%7B4%7D%5C%5Cw%3D16)
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Answer:
Egg salad sandwich is proportional to its length
Step-by-step explanation:
Weight of Sandwiches by Length of Roll
6-inch Roll 12-Inch Roll
Cheese sandwich
![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Chicken salad sandwich
![1\frac{3}{4}](https://tex.z-dn.net/?f=1%5Cfrac%7B3%7D%7B4%7D)
Egg salad sandwich
![1\frac{1}{3}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B3%7D)
For cheese sandwich proportion
![\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cfrac%7B12%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C24%20%5Cneq%2016)
So, Cheese sandwich weight is not proportional to its length
For Chicken salad sandwich proportion
![\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%3D%5Cfrac%7B12%7D%7B%5Cfrac%7B7%7D%7B4%7D%7D%5C%5C8%20%5Cneq%20%5Cfrac%7B48%7D%7B7%7D)
So, chicken salad sandwich is not proportional to its length
For Egg salad sandwich proportion
![\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%5Cfrac%7B12%7D%7B%5Cfrac%7B4%7D%7B3%7D%7D%5C%5C9%3D9)
So, egg salad sandwich is proportional to its length
The greatest common fact or 32 and 96 is 2