Answer:
A. Jorge distributed incorrectly.
Step-by-step explanation:
4x - (x + 20) + 6 = 2(3x + 8)
4x - x - 20 + 6 = 6x + 16
3x - 14 = 6x + 16
3x - 6x = 16 + 14
-3x = 30
x = -10
For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.
What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.
Hope this helps!
Answer:
i. The length of the trap door is 12 feet, and its width is 7 feet.
ii. The perimeter of the trap door is 38 feet.
Step-by-step explanation:
The area of the trap door = 84 square feet. But the dimension of the grand piano = by .
For the piano to pass through the door conveniently, the width of the door should be wider than that of the piano. And its length the same. Given that the length and side measure of the door has to be a whole number, then;
The width of the door would be 7 feet, so that:
Area of the door = length × width
84 = l × 7
⇒ l = 12
The length of the trap door is 12 feet, and its width is 7 feet.
2. Since the traap door has a shape of a rectangle, thus:
perimeter of the trap door = 2 (length + width)
= 2 (12 + 7)
= 38 feet
The perimeter of the trap door is 38 feet.
Answer:
Step-by-step explanation:
Answer:
3x + 21
Step-by-step explanation:
(3)(x+7)
Now, we distribute the 3 in each term of (x+7)
So, 3*x = 3x and 3*7 = 21.
So our resulting term would be 3x+21.
Answer:
Volume = 3.14 × 5² ×6 ÷ 3
volume = 157 cm³ B