DCA 3 Corrections Activity

To solve the inequality 2h > 4, divide both sides by 2, giving h > 2. Therefore, h can be any value greater than 2. Among the choices, 3 is the only value that satisfies this condition.

The question states Sierra must practice more than 7 minutes. Therefore, the correct number line must show values greater than and not including 7.

To solve the inequality x - 5 ≥ 2, add 5 to both sides to get x ≥ 7. Graph B correctly shows a closed circle at 7 and shading to the right, indicating all values greater than or equal to 7.

Mrs. Daulton charges $135 per hour. To find the number of hours (h) she worked for a total of $405, we set up the equation 135h = 405. This shows that the total charge is equal to the hourly rate multiplied by the hours worked.

To find the value of x in the equation 4x = 108, divide both sides by 4. This gives x = 108 / 4 = 27. Therefore, the correct answer is 27.

To find the value of x that makes the equation true, substitute each answer choice into the equation. When x = 5, the equation holds true, confirming that 5 is the correct answer.

To find the correct equation for x=12, substitute 12 into each option. Only in the equation x+22=34 does it hold true: 12+22=34. The other equations do not equal the right side when x is 12.

The prime factorization of 400 is incorrectly represented. The correct factorization is 2^4 × 5^2, not 2^2 × 5^2. The other numbers have correct prime factorizations.

Point A is represented by the coordinates (2, 0), where 2 is the x-coordinate and 0 is the y-coordinate. This matches the correct answer choice (2, 0) among the options provided.