The question says that the length of the floor of a room is 'y' meters.
Its width is 5 meters shorter than the length,
If the width is 5 meters shorter than the actual width should be:
meters
Now the room is in the shape of a rectangle, so we will use the formula of the perimeter of a rectangle:
Perimeter =
The length of the floor is 'y' meters
The width of the floor is 'y-5' meters
Plugging the values of length and width we get,
![2(y+ (y-5))](https://tex.z-dn.net/?f=2%28y%2B%20%28y-5%29%29)
Question says that the perimeter of the rectangle is
meters.
So,
![2(y+(y-5))=4y+1](https://tex.z-dn.net/?f=2%28y%2B%28y-5%29%29%3D4y%2B1)
We will solve for 'y'.
![2(y+y-5)=4y+1](https://tex.z-dn.net/?f=2%28y%2By-5%29%3D4y%2B1)
![2(2y-5)=4y+1](https://tex.z-dn.net/?f=2%282y-5%29%3D4y%2B1)
![4y-10=4y+1](https://tex.z-dn.net/?f=4y-10%3D4y%2B1)
Since,
![-10\neq 1](https://tex.z-dn.net/?f=-10%5Cneq%201)
The system of equation seems to have no solution.
Hence, no such floor exists.
Answer:
original price= $150, sale price= $105
Step-by-step explanation:
since it is on sale for 70% of original price, there is 30% off discount.
$45 is 30% of original price (original price is 100%)
1% of original price
= $45 ÷ 30
= $1.50
original price
= $1.50 × 100
=$150
sale price (70% of original price)
= $1.50 × 70
= $105
The square root of 3 plus the square root of 2 =3.14626
9514 1404 393
Answer:
(f+g)(x) = 5x +1
Step-by-step explanation:
Substitute the given expressions and simplify.
(f+g)(x) = f(x) +g(x)
(f+g)(x) = (2x +7) +(3x -6) = (2x +3x) +(7 -6)
(f+g)(x) = 5x +1