Let x be the number of peanuts originally in the bag.
24/x = 75/100
24 = .75x
x = 32
There were 32 peanuts originally in the bag
Answer:
60
Step-by-step explanation:
Use the pythagoras theorem: a²+b²=c²
Answer:
The problem has no real solution, because the area of inside of the frame is bigger than the total area of the frame.
Step-by-step explanation:
Any way here is the mathematical explanation/solve to this statement.
As show in the graphic, there is a representation of the situation stated in the problem. So in order to calculate the area we have the next equation as a function of x.
Area:
![A=b*h= (6+2x)(11+2x)\\\\A=28=66+12x+22x+4x^2}\\\\Simplifing\\\\4x^2+34x+38=0\\\\](https://tex.z-dn.net/?f=A%3Db%2Ah%3D%20%286%2B2x%29%2811%2B2x%29%5C%5C%5C%5CA%3D28%3D66%2B12x%2B22x%2B4x%5E2%7D%5C%5C%5C%5CSimplifing%5C%5C%5C%5C4x%5E2%2B34x%2B38%3D0%5C%5C%5C%5C)
Solving the equation to find the roots (values of x):
![x=\frac{-b+- \sqrt{b^2-4ac} }{2a}=\frac{-34+-\sqrt{546} }{8} \\\\solving\\\\x=-7.2\\\\x=-1.3\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%3D%5Cfrac%7B-34%2B-%5Csqrt%7B546%7D%20%7D%7B8%7D%20%20%5C%5C%5C%5Csolving%5C%5C%5C%5Cx%3D-7.2%5C%5C%5C%5Cx%3D-1.3%5C%5C)
So mathematically there is no real answer, since x is a width must be positive number. And practically the outer area must be bigger than the inner area, and the inner area is given by 6 times 11, or 66
.
The right answer is -3.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
The correct answer is: C. 4
Step-by-step explanation:
We will check the value of function on each option.
Given function is:
![f(x)=2x^2-4](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E2-4)
So,
For A. 0
![f(0)=2(0)^2-4\\=0-4\\=-4](https://tex.z-dn.net/?f=f%280%29%3D2%280%29%5E2-4%5C%5C%3D0-4%5C%5C%3D-4)
For B. 2
![f(2)=2(2)^2-4\\=2(4)-4\\=8-4\\=4](https://tex.z-dn.net/?f=f%282%29%3D2%282%29%5E2-4%5C%5C%3D2%284%29-4%5C%5C%3D8-4%5C%5C%3D4)
For C. 4
![f(4)=2(4)^2-4\\=2(16)-4\\=32-4\\=28](https://tex.z-dn.net/?f=f%284%29%3D2%284%29%5E2-4%5C%5C%3D2%2816%29-4%5C%5C%3D32-4%5C%5C%3D28)
The value of function is 28 on x=4
So,
The correct answer is: C. 4
Keywords: Functions, Constants
Learn more about functions at:
#LearnwithBrainly