Liz is using the distributive property to evaluate the expression 27(36) by using friendlier numbers. her work is shown below.

liz’s work

27(36)
step 1

27(3 + 12)
step 2

27(3) + 27(12)
step 3

81 + 324
step 4

405

what was the first error that liz made?
step 1 should have been 27(6 + 30).
step 2 should have been 27(3) + 12.
step 3 should have been 27(30)(12).
step 4 should have been 16,244.

A)Step 1 should have been 27(6 + 30).

Step-by-step explanation:

Given Liz Steps below:

27(36)

Step 1 :  27(3 + 12)

Step 2 :27(3) + 27(12)

Step 3 :81 + 324

Step 4 :405

You will notice that at Step 1, 36 was placed as 3+12 instead of 6+30

The correct workings therefore are:

27(36)

Step 1 :  27(6+30)

Step 2 :27(6) + 27(30)

Step 3 :162 + 810

Step 4 :972

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!