44,880 feet because there are 5280ft in a mile so you do: 5280(3) + 5280(2.5) + 5280(3) = 44,880
Answer: 22.4 m/s
Step-by-step explanation:
Average speed can be calculated using the following formula:
Speed = ![\frac{Distance}{Time}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%7D%7BTime%7D)
Speed = 560m/25 seconds
speed = 22.4 m/s
Given:
Amanda sold 13 rolls of plain wrapping paper and 12 rolls of holiday wrapping paper for a total of $208.
And,
Mofor sold 4 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $55.
Let, x be the cost of one roll of plain wrapping paper and y be the cost of one roll of holiday wrapping paper.
The equations are,
![\begin{gathered} 13x+12y=208\ldots\ldots\ldots\text{.....}(1) \\ 4x+3y=55\ldots\ldots..\ldots\ldots\ldots\text{.}(2) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2013x%2B12y%3D208%5Cldots%5Cldots%5Cldots%5Ctext%7B.....%7D%281%29%20%5C%5C%204x%2B3y%3D55%5Cldots%5Cldots..%5Cldots%5Cldots%5Cldots%5Ctext%7B.%7D%282%29%20%5Cend%7Bgathered%7D)
Solve the equations,
![\begin{gathered} 4x+3y=55 \\ 4x=55-3y \\ x=\frac{55-3y}{4} \\ \text{Put it in quation (1)} \\ 13x+12y=208 \\ 13(\frac{55-3y}{4})+12y=208 \\ \frac{715-39y}{4}+12y=208 \\ 715-39y+4(12y)=4(208) \\ 715-39y+48y=832 \\ 9y=832-715 \\ 9y=117 \\ y=\frac{117}{9} \\ y=13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204x%2B3y%3D55%20%5C%5C%204x%3D55-3y%20%5C%5C%20x%3D%5Cfrac%7B55-3y%7D%7B4%7D%20%5C%5C%20%5Ctext%7BPut%20it%20in%20quation%20%281%29%7D%20%5C%5C%2013x%2B12y%3D208%20%5C%5C%2013%28%5Cfrac%7B55-3y%7D%7B4%7D%29%2B12y%3D208%20%5C%5C%20%5Cfrac%7B715-39y%7D%7B4%7D%2B12y%3D208%20%5C%5C%20715-39y%2B4%2812y%29%3D4%28208%29%20%5C%5C%20715-39y%2B48y%3D832%20%5C%5C%209y%3D832-715%20%5C%5C%209y%3D117%20%5C%5C%20y%3D%5Cfrac%7B117%7D%7B9%7D%20%5C%5C%20y%3D13%20%5Cend%7Bgathered%7D)
Put the value of y in equation (2),
![\begin{gathered} 4x+3y=55 \\ 4x+3(13)=55 \\ 4x+39=55 \\ 4x=55-39 \\ 4x=16 \\ x=\frac{16}{4} \\ x=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204x%2B3y%3D55%20%5C%5C%204x%2B3%2813%29%3D55%20%5C%5C%204x%2B39%3D55%20%5C%5C%204x%3D55-39%20%5C%5C%204x%3D16%20%5C%5C%20x%3D%5Cfrac%7B16%7D%7B4%7D%20%5C%5C%20x%3D4%20%5Cend%7Bgathered%7D)
Answer:
The cost of one roll of plain wrapping paper is x = $4.
The cost of one roll of holiday wrapping paper is y = $13.
Answer:
-397 -9x
Step-by-step explanation:
(913-892 +3)
(21+3) - (421+9x)
(24) -421 -9x
-397 -9x
Answer:
C
Step-by-step explanation:
So we have the expression:
![(x+y+3)\times(y+1)](https://tex.z-dn.net/?f=%28x%2By%2B3%29%5Ctimes%28y%2B1%29)
To multiply, use the distributive property. Multiply (y+1) to each term on the left:
![=x(y+1)+y(y+1)+3(y+1)](https://tex.z-dn.net/?f=%3Dx%28y%2B1%29%2By%28y%2B1%29%2B3%28y%2B1%29)
Distribute the variables:
![=(xy+x)+(y^2+y)+(3y+3)](https://tex.z-dn.net/?f=%3D%28xy%2Bx%29%2B%28y%5E2%2By%29%2B%283y%2B3%29)
Rearrange them to combine like terms:
![=y^2+xy+y+3y+x+3\\=y^2+xy+4y+x+3](https://tex.z-dn.net/?f=%3Dy%5E2%2Bxy%2By%2B3y%2Bx%2B3%5C%5C%3Dy%5E2%2Bxy%2B4y%2Bx%2B3)
The correct answer is C.
Edit: Typo