Answer:
0.43
Step-by-step explanation:
0.008(54)=x
(54)= 0.43
Answer:
The answer is A. 17π
Step-by-step explanation:
In order to get this answer I looked at the formula for the circumference of a circle and the formula is c = 2πr (c being circumference, r being radius, π being pie) So if the bigger circle's circumference is 68π then you need to divide 68 by 2 to figure out the radius.
So 68/2=34 and the radius of the smaller circle is 1/4 of 34 which is 8.5.
Then you multiply the radius (8.5) by 2 to get 17π for your final answer.
So happy to help! Please let me know if I was wrong or right! :)
Answer:
f(x) = x * -3
Step-by-step explanation:
so, you have x and you have f(x), as you can see -4 turns into 12... you basically have to divide, multiply, add or subtract for each value to see what they have in common, here it's easy since -4 * -3 is 12, -2 * -3 is 6, 0 * -3 is 0, etc etc. hope it helped : )
Answer:
Option (B)
Step-by-step explanation:
Since the linear graph is passing through the origin, there is a proportional relationship between the amount of chocolate (C) and amount of peanuts (P) used in the package of snacks mix,
P ∝ C
P = kC
k = ![\frac{P}{C}](https://tex.z-dn.net/?f=%5Cfrac%7BP%7D%7BC%7D)
Here k = proportionality constant
Since, the given line passes through a point (3, 2),
k = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Therefore, ratio of chocolate and peanuts mixed is
.
Option (B) is the correct option.
Roots of the equation
are ![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
Step-by-step explanation:
We need to find the roots of ![y=x^2-8x+15](https://tex.z-dn.net/?f=y%3Dx%5E2-8x%2B15)
Let the equation equal to zero
![x^2-8x+15=0](https://tex.z-dn.net/?f=x%5E2-8x%2B15%3D0)
We can find roots by factorization
Solving:
![x^2-8x+15=0](https://tex.z-dn.net/?f=x%5E2-8x%2B15%3D0)
For finding factors break the middle term such that their product equals to the product of first and last term and their sum equals to middle term
So, 8x can be break into -5x and -3x
Sum=-5x+(-3x)= -8x (same as middle term)
Product = -5x * -3x = 15x^2 (same as product of first and last term)
![x^2-5x-3x+15=0](https://tex.z-dn.net/?f=x%5E2-5x-3x%2B15%3D0)
Taking common:
![x(x-5)-3(x-5)=0](https://tex.z-dn.net/?f=x%28x-5%29-3%28x-5%29%3D0)
![(x-3)(x-5)=0](https://tex.z-dn.net/?f=%28x-3%29%28x-5%29%3D0)
![(x-3)=0\,\,and\,\,(x-5)=0](https://tex.z-dn.net/?f=%28x-3%29%3D0%5C%2C%5C%2Cand%5C%2C%5C%2C%28x-5%29%3D0)
![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
So, roots of the equation
are ![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
Keywords: Roots of equation
Learn more about roots of equation at:
#learnwithBrainly