Solve using equations:
Gina 11 = a+b+c
Sam 27 = 2a+3b+2c
Robby 19= a+2b+2c
Gina *2 give 22=2a+2b+2c (subtract this from Sam to give)
b=5
the subtract Robby from Gina *2 to give a=3
[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:
[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19
if we subtract [a] from [c] we get:
[equation d] c + t = 8
if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11
Now we can subtract [e] from [d] to solve for t:
t = 3
Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
c + 6 = 11
c = 5
So she rented 5 comedies and 3 documentaries which leaves 3 dramas (which is answer A)
Answer:
<em>x = 7</em>
Step-by-step explanation:
Simplifying
17 = 3X + -4
Reorder the terms:
17 = -4 + 3X
Solving
17 = -4 + 3X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-3X' to each side of the equation.
17 + -3X = -4 + 3X + -3X
Combine like terms: 3X + -3X = 0
17 + -3X = -4 + 0
17 + -3X = -4
Add '-17' to each side of the equation.
17 + -17 + -3X = -4 + -17
Combine like terms: 17 + -17 = 0
0 + -3X = -4 + -17
-3X = -4 + -17
Combine like terms: -4 + -17 = -21
-3X = -21
Divide each side by '-3'.
X = 7
Simplifying
X = 7
The transformed equation is:
Step-by-step explanation:
We have to convert the equation in the form
Given equation is:
Adding 8 on both sides
In the given equation
a = x
b= ?
So,
So 3^2 will be added on both sides
Hence,
The transformed equation is:
Keywords: Quadratic equation, transformation
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Step-by-step explanation:
mean of cheese = 99+8+10/3 = 117/3 = 39
mean of butter = 41+16+0/3 = 57/3 = 19
mean of non fat dairy milk = 255+8+15/3 = 278/3 = 92.6~93
median of cheese 8, 10, 99 median is 10
median of butter 0, 16, 41 median is 16
nonfat dairy milk 8, 15, 255 median is 15
range of cheese 99-10 = 88
range of butter 41-16 = 25
range of nonfat dairy milk = 255-8 = 247
