Answer:
(D) 29.3
Step-by-step explanation:
The answer is all the days added together and then divided by 10.
20+30+40+38+25+22+39+22+26+31=293.
293/10=29.3
Hello There!
As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.
First, we would create an equation based on what the question says, which would look as:
x + x + 2 = 12
2x + 2 = 12
Subtract two from both sides.
2x = 10
The grand daughter is 5 years old and since the grandson is two years older he is 7.
Thus,
The age of the granddaughter is 5
The age of the grandson is 7
Answer:
![y(x)=x^2+5x](https://tex.z-dn.net/?f=y%28x%29%3Dx%5E2%2B5x)
Step-by-step explanation:
Given: ![y'=\sqrt{4y+25}](https://tex.z-dn.net/?f=y%27%3D%5Csqrt%7B4y%2B25%7D)
Initial value: y(1)=6
Let ![y'=\dfrac{dy}{dx}](https://tex.z-dn.net/?f=y%27%3D%5Cdfrac%7Bdy%7D%7Bdx%7D)
![\dfrac{dy}{dx}=\sqrt{4y+25}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Csqrt%7B4y%2B25%7D)
Variable separable
![\dfrac{dy}{\sqrt{4y+25}}=dx](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7B%5Csqrt%7B4y%2B25%7D%7D%3Ddx)
Integrate both sides
![\int \dfrac{dy}{\sqrt{4y+25}}=\int dx](https://tex.z-dn.net/?f=%5Cint%20%5Cdfrac%7Bdy%7D%7B%5Csqrt%7B4y%2B25%7D%7D%3D%5Cint%20dx)
![\sqrt{4y+25}=2x+C](https://tex.z-dn.net/?f=%5Csqrt%7B4y%2B25%7D%3D2x%2BC)
Initial condition, y(1)=6
![\sqrt{4\cdot 6+25}=2\cdot 1+C](https://tex.z-dn.net/?f=%5Csqrt%7B4%5Ccdot%206%2B25%7D%3D2%5Ccdot%201%2BC)
![C=5](https://tex.z-dn.net/?f=C%3D5)
Put C into equation
Solution:
![\sqrt{4y+25}=2x+5](https://tex.z-dn.net/?f=%5Csqrt%7B4y%2B25%7D%3D2x%2B5)
or
![4y+25=(2x+5)^2](https://tex.z-dn.net/?f=4y%2B25%3D%282x%2B5%29%5E2)
![y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}](https://tex.z-dn.net/?f=y%28x%29%3D%5Cdfrac%7B1%7D%7B4%7D%282x%2B5%29%5E2-%5Cdfrac%7B25%7D%7B4%7D)
![y(x)=x^2+5x](https://tex.z-dn.net/?f=y%28x%29%3Dx%5E2%2B5x)
Hence, The solution is
or ![y(x)=x^2+5x](https://tex.z-dn.net/?f=y%28x%29%3Dx%5E2%2B5x)
Answer:
<
Step-by-step explanation:
0.4<0.7
4 is smaller than 7 so the sighn points to 0.7
Answer:
20 points
Step-by-step explanation:
Points:
- 21, 13, 14 and x for the last game
Average:
- (21+13+14+x) / 4 = 17
- 48 + x = 4*17
- 48 + x = 68
- x = 68 - 48
- x = 20
They must score 20 points