Carlos is using the distributive property to evaluate the expression 14(49) by using friendlier numbers. his work is shown below.

carlos’s work

14(49)

step 1

14(40 + 9)

step 2

14(40) + 9

step 3

560 + 9

step 4

569

what was the first error that carlos made?

step 1 should have been 14(7 + 7).

step 2 should have been 14(40) + 14(9).

step 3 should have been 23(40).

step 4 should have been 5,040.

The system of equations graphed below has how many solutions? y = 2x + 2

The administrator of a large assisted living facility wanted to know the average age of the residents living at the facility. he randomly selected 12 residents and determined their age, listed here: 80, 65, 75, 83, 68, 73, 88, 79, 94, 72, 79, 68 what's the average age of the sample of residents? a. 79 years old b. 68 years old c. 75 years old d. 77 years old

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.