Find the mistake made in the steps to solve the equation below. 1. Addition property of equality: 6x-1= -2x+9

2. Addition property of equality: A 8x-1=9

3. Division property of equality: 8x=10

4. Simplification: x=8/10

x=4/5

Answers:

A: The justification for step 3 is incorrect and should be the multiplication property of equality

B: Step 2 is incorrect and should be 8x=8

C: The justification for step 2 is incorrect and should be the subtraction property of equality.

D: Step 3 is incorrect and should be x=10/8

Pic. Included Just in case it didn't make sense.

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step-by-step explanation:

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)