4 1/6 = 4 7/42
2 4/7 = 2 24/42
2 24/42 + 4 7/42 = 6 31/42
6 31/42 = 283/42
If we add 15 to both sides, we get
We can read the left hand side as
So, the equation becomes
Take the square root of both sides:
Subtract 4 from both sides:
Answer/Step-by-step explanation:
1. (7j³ - 2) + (5j³ - j - 3)
Open the parentheses
7j³ - 2 + 5j³ - j - 3
Collect like terms. Like terms are terms that have the same degree.
7j³ + 5j³ - j - 2 - 3 (7j³ and 5j³, have the same degree, 2 and 3 are if the same degree)
12j³ - j - 5 (this already in descending order)
2. (8a⁵ - 4) + (3a⁵ + a - 2)
Open parentheses
8a⁵ - 4 + 3a⁵ + a - 2
Collect like terms
8a⁵ + 3a⁵ + a - 4 - 2
12a⁵ + a - 6 (in ascending order from largest to smallest degree)
3. (6m² + 1) + (3a⁵ + a - 2)
6m² + 1 + 3a⁵ + a - 2
Collect like terms
6m² + 3a⁵ + a + 1 - 2
6m² + 3a⁵ + a - 1
Rearrange from largest to smallest degree
3a⁵ + 6m² + a - 1
4. (3m⁵ + 1) + (9m⁵ + 3m - 2)
3m⁵ + 1 + 9m⁵ + 3m - 2
Collect like terms
3m⁵ + 9m⁵ + 3m + 1 - 2
12m⁵ + 3m - 1
5. (- 5x² - x + 4) + (- 3x² - 5x + 2)
Open parentheses
-5x² - x + 4 - 3x² - 5x + 2
Collect like terms
-5x² - 3x² - x - 5x + 4 + 2
-8x² - 6x + 6
Answer: 4 cakes
Explanation: 2/3 is equal to 4/6. Each cake only takes 1/6 lbs. of sugar