Answer: 15.25
1/4 is 0.25, so 15 + 0.25 is 15.25.
This one is . . . (13 lbs)/(5/8 lbs / bag) = 13*8/5 = 104/5 = 20 4/5
Answer:
27.71
Step-by-step explanation:
Using Google, we can find that if we plug in the area, a, the formula for the area of the triangle is
. Plugging it in, we get
= 27.71 (approximately)
I think it is 6:15 > 30:80
hope it helps:)
Answer:
x = -1
Step-by-step explanation:
The usual approach to these is to square the radicals until they are gone.
![\displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%7B3x%2B7%7D%2B%5Csqrt%7Bx%2B1%7D%3D2%5C%5C%5C%5C%283x%2B7%29%20%2B2%5Csqrt%7B%283x%2B7%29%28x%2B1%29%7D%2B%28x%2B1%29%20%3D%204%5Cqquad%5Ctext%7Bsquare%20both%20sides%7D%5C%5C%5C%5C2%5Csqrt%7B%283x%2B7%29%28x%2B1%29%7D%3D-4x-4%5Cqquad%5Ctext%7Bsubtract%20%244x%2B8%24%7D%5C%5C%5C%5C%283x%2B7%29%28x%2B1%29%3D%28-2x-2%29%5E2%5Cqquad%5Ctext%7Bdivide%20by%202%2C%20square%20again%7D%5C%5C%5C%5C3x%5E2%2B10x%20%2B7%3D4x%5E2%2B8x%2B4%5Cqquad%5Ctext%7Bsimplify%7D%5C%5C%5C%5Cx%5E2-2x-3%3D0%5Cqquad%5Ctext%7Bsubtract%20the%20left%20expression%7D%5C%5C%5C%5C%28x-3%29%28x%2B1%29%3D0%5Cqquad%5Ctext%7Bfactor%7D%5C%5C%5C%5Cx%3D3%2C%5C%20x%3D-1%5Cqquad%5Ctext%7Bsolutions%20to%20the%20quadratic%7D)
Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.
The solution is x = -1.
_____
Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.