Answer:
solution 1= 40ml
solution 2= 160ml
Step-by-step explanation:
%alcohol= amount of alcohol/total solutionx100
0.52x200=104ml of alcohol present
0.2x L=0.2Lml of alcohol in solution one
0.6 x M=0.6Mml of alcohol in solution two
1st equation
0.2L+0.6M=104ml alcohol
times 10 to get whole
2L+6M=1040ml
2nd
same for this equation
10L+10M=2000ml
10L+10M=2000
2L+6M=1040
elimination method
=20L+20M=4000
-
=20L+60M=10400
-40M=-6400
M=160ml
2L+6 (160)=1040
2L=1040-960
2L=80
L=40ml
Answer:
Step-by-step explanation:
gretchen's data values are more spread out.
because the standard deviation and interquartile range are larger for gretchen's data than manuels data.
Answer:
x > −2
Step-by-step explanation:
You need to isolate the variable. You can do this by first subtracting 3/2 from both sides of the inequality sign.
You will get -x/2 < 2/2.
Next, since x is being divided by -2, you will multiply it by -2 to undo it. Do this to both sides.
Note that when multiplying or dividing by a negative you will flip the inequality sign. '<' becomes '>' and '>' becomes '<'.
You will get x > -2.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x ---> represents the number of matinee tickets she could purchase
y ---> represents the number of evening tickets she could purchase
we know that
The number of matinee tickets (x) multiplied by $7.50 each plus the number of evening tickets (y) multiplied by $12.50 each must be at most (less than or equal to) $100
so
The inequality that represent this problem is
using a graphing tool
The solution is the triangular shaded area
Remember that the number of tickets must be a whole number
see the attached figure
Review Material:
![\sqrt[n]{x^m} = x^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
![\frac{d}{dx}[x^n]=nx^{n-1}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5En%5D%3Dnx%5E%7Bn-1%7D%5C%5C)
![\frac{d}{dx}[\sin(x)]=\cos(x)\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Csin%28x%29%5D%3D%5Ccos%28x%29%5C%5C)
![\frac{d}{dx}[\cos(x)]=-\sin(x)\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ccos%28x%29%5D%3D-%5Csin%28x%29%5C%5C)
![\frac{d}{dx}[constant]=0\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bconstant%5D%3D0%5C%5C)
Step-by-step explanation:
(a)
(b)
(c)
