28.52 / 0.368 = 77.5
answer
36.8% of 77.5 is 28.52
hope that helps
Answer: ![5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)](https://tex.z-dn.net/?f=5x%5E2y%20-%2030xy%5E2%20-%2035y%5E3%3D5y%28x%2By%29%28x-7y%29)
Step-by-step explanation:
GCF = Greatest common factor.
For example: 6 is the GCF of 12 and 18.
The given expression: ![5x^2y - 30xy^2 - 35y^3](https://tex.z-dn.net/?f=5x%5E2y%20-%2030xy%5E2%20-%2035y%5E3)
It can be written as
![5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)](https://tex.z-dn.net/?f=5x%5E2y%20-%20%285%5Ctimes6%29x%28%20y%5Ctimes%20y%29%20-%20%285%5Ctimes7%29%28y%5E2%5Ctimes%20y%29)
Taking out common factor
, we get
![5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)](https://tex.z-dn.net/?f=5y%28x%5E2-6xy-7y%5E2%29%5C%5C%5C%5C%20%3D5y%28x%5E2%2Bxy-7xy-7y%5E2%29%5C%20%20%5C%20%5B%5Cbecause-6xy%3Dxy-7xy%5D%5C%5C%5C%5C%3D5y%28x%28x%2By%29-7y%28x%2By%29%29%5C%5C%5C%5C%3D%205y%28%28x%2By%29%28x-7y%29%29%5C%5C%5C%5C%3D5y%28x%2By%29%28x-7y%29)
Hence, ![5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)](https://tex.z-dn.net/?f=5x%5E2y%20-%2030xy%5E2%20-%2035y%5E3%3D5y%28x%2By%29%28x-7y%29)
Answer:
<u>The answer is 692.</u>
Step-by-step explanation:
Number of cars with automatic transmissions = 356
Number of cars with power steering = 240
Number of cars with both of these options = 96
Number of cars that were manufactured with at least one of the two options = x
x = Number of cars with automatic transmission + Number of card with power steering + Number of cars with both of these options
x = 356 + 240 + 96
<u>x = 692</u>
<u>The number of cars manufactured with at least one of the two options is 692.</u>
Answer:
10
Step-by-step explanation:
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.