Answer:
1 cup of blue paint required 5 cups of yellow paints
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Step-by-step explanation:
Given
2 cups of blue = 10 cups of yellow
Required
Determine the number of cups of yellow for 1 cup of blue paint
The given parameter shows a linear relationship between paints of blue and paints of yellow
We have:
2 cups of blue = 10 cups of yellow
Multiply both sides by 0.5
0.5* 2 cups of blue = 0.5* 10 cups of yellow
1 cup of blue = 5 cups of yellow
Hence;
<em>1 cup of blue paint required 5 cups of yellow paints</em>
 
        
             
        
        
        
Answer:
6(a - 5)(b - 2)
Step-by-step explanation:
60 + 6ab - 30b - 12a
Factor out the common term 6:
= 6(10 + ab - 5b - 2a)
Rearrange:
= 6(ab - 2a - 5b + 10)
Factor:
= 6(a - 5)(b - 2)
 
        
             
        
        
        
If we would have assigned a different value for x, the equation would have given us another value for y. We could instead have assigned a value for y and solved the equation to find the matching value of x.
In our equation y=x+7, we have two variables, x and y. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our example above, x is the independent variable and y is the dependent variable.
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.
It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
 
        
             
        
        
        
7 x 2/3 = 7/1 x 2/3 = 14/3 = 4 2/3
answer: 4 2/3
        
             
        
        
        
10^3 CDs with CD = $12 then total CDs earnings is (10^3)(12) = $12,000
10^2 CD players with CD plater = $35 then total CD player earnings is (10^2)(12) = $1,200
Total store earnings = ($12,000 + $1,200) = $13,200