Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.
Batch 111 Batch 222 Batch 333
Cups of sugar 222 333 444
Cups of flour 4\dfrac{1}{2}4
2
1

4, start fraction, 1, divided by, 2, end fraction 6\dfrac{3}{4}6
4
3

6, start fraction, 3, divided by, 4, end fraction 999
What is the unit rate of change of flour (y)(y)left parenthesis, y, right parenthesis with respect to sugar (x)(x)left parenthesis, x, right parenthesis? That is, how much flour corresponds to one cup of sugar?
The unit rate of change is
.
Graph the proportional relationship described above, with the xxx-coordinate representing cups of sugar, and the yyy-coordinate representing cups of flour.

the correct answer is 45x

9×5=45 then add the x

4

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.