Answer:
Step-by-step explanation:
Answer:
The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds
Step-by-step explanation:
Let
x ----> amount of 65 cents per pound flour to use
y----> amount of 95 cents per pound flour to use
we know that
---->
----> equation A
----> equation B
substitute equation A in equation B
![0.65x+0.95(100-x)=0.83(100)](https://tex.z-dn.net/?f=0.65x%2B0.95%28100-x%29%3D0.83%28100%29)
Solve for x
![0.65x+95-0.95x=83](https://tex.z-dn.net/?f=0.65x%2B95-0.95x%3D83)
![0.95-0.65x=95-83](https://tex.z-dn.net/?f=0.95-0.65x%3D95-83)
![0.30x=12](https://tex.z-dn.net/?f=0.30x%3D12)
![x=40\ lb](https://tex.z-dn.net/?f=x%3D40%5C%20lb)
Find the value of y
![y=100-40=60\ lb](https://tex.z-dn.net/?f=y%3D100-40%3D60%5C%20lb)
therefore
The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds
Answer:
![=x^2+6x+9](https://tex.z-dn.net/?f=%3Dx%5E2%2B6x%2B9)
Step-by-step explanation:
![\left(x+3\right)^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=x,\:\:b=3\\=x^2+2x\cdot \:3+3^2\\\mathrm{Simplify}\:x^2+2x\cdot \:3+3^2:\quad x^2+6x+9\\x^2+2x\cdot \:3+3^2\\\mathrm{Multiply\:the\:num\\bers:}\:2\cdot \:3=6\\=x^2+6x+3^2\\3^2=9\\=x^2+6x+9](https://tex.z-dn.net/?f=%5Cleft%28x%2B3%5Cright%29%5E2%5C%5C%5Cmathrm%7BApply%5C%3APerfect%5C%3ASquare%5C%3AFormula%7D%3A%5Cquad%20%5Cleft%28a%2Bb%5Cright%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5Ca%3Dx%2C%5C%3A%5C%3Ab%3D3%5C%5C%3Dx%5E2%2B2x%5Ccdot%20%5C%3A3%2B3%5E2%5C%5C%5Cmathrm%7BSimplify%7D%5C%3Ax%5E2%2B2x%5Ccdot%20%5C%3A3%2B3%5E2%3A%5Cquad%20x%5E2%2B6x%2B9%5C%5Cx%5E2%2B2x%5Ccdot%20%5C%3A3%2B3%5E2%5C%5C%5Cmathrm%7BMultiply%5C%3Athe%5C%3Anum%5C%5Cbers%3A%7D%5C%3A2%5Ccdot%20%5C%3A3%3D6%5C%5C%3Dx%5E2%2B6x%2B3%5E2%5C%5C3%5E2%3D9%5C%5C%3Dx%5E2%2B6x%2B9)
Take any 2 points the answer will be the same.
For point 2 and 3 : (-4)-(2)/(0)-(-1) = -6
the answer is -6
Law of sines says
a/sinA=b/sinB=c/SinC
where a,b,c are sides of a triangle and A,B,C are angles respectively.
a/sin45.1=c/sin59.1
(we can find angle C by sum of angles of a triangle is 180.)
a=sin(45.1) x 10.2/sin (59.1)
a=0.708 x 10.2/0.85
a=8.496
a=8.5 units
now u can find b and c sides.