Answer:
51 students.
Step-by-step explanation:
First you need to establish a rate 6/100+3/50
8*100=800 6*8=48
3/50
850-800=50 3/50
48+3=51
Answer:
See explanation
Step-by-step explanation:
You are given the equation ![8x+(-4)=11x+5](https://tex.z-dn.net/?f=8x%2B%28-4%29%3D11x%2B5)
1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form
![8x+(-4)+(-8x)=11x+5+(-8x)\\ \\-4=3x+5](https://tex.z-dn.net/?f=8x%2B%28-4%29%2B%28-8x%29%3D11x%2B5%2B%28-8x%29%5C%5C%20%5C%5C-4%3D3x%2B5)
2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is
![-4+(-5)=3x+5+(-5)\\ \\-9=3x](https://tex.z-dn.net/?f=-4%2B%28-5%29%3D3x%2B5%2B%28-5%29%5C%5C%20%5C%5C-9%3D3x)
3. Divide both sides by 3:
![\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%7D%7B3%7D%3D%5Cdfrac%7B-9%7D%7B3%7D%5C%5C%20%5C%5Cx%3D-3)
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:
![$=2 \times 3.14 \times 1\left(\frac{90^\circ}{360^\circ}\right)](https://tex.z-dn.net/?f=%24%3D2%20%5Ctimes%203.14%20%20%5Ctimes%201%5Cleft%28%5Cfrac%7B90%5E%5Ccirc%7D%7B360%5E%5Ccirc%7D%5Cright%29)
![$=2 \times 3.14 \times 1\left(\frac{1}{4}\right)](https://tex.z-dn.net/?f=%24%3D2%20%5Ctimes%203.14%20%20%5Ctimes%201%5Cleft%28%5Cfrac%7B1%7D%7B4%7D%5Cright%29)
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
The total cost would be $4,050. Hope this helps!
Answer:
c. f(x) = (x + 4)(x - 1)
Step-by-step explanation:
Since you're familiar with the product of two binomials:
(x +a)(x +b) = x² + (a+b)x + ab
you know that the constants in the binomial factors must ...
- have a product of -4
- have a sum of +3
__
All of the choices except B have binomial constants that have a product of -4.
In order, the sums of the remaining choices are ...
A: 1-4 = -3
C: 4-1 = 3 . . . . this is the correct choice
D: -2+2 = 0