Answer: 67.4
Step-by-step explanation: 246 is 67.4% of 365
45w = 500 + 85
45w = 585
w = 585/45
w = 13 <=== 13 weeks
Answer:
(3a + 2b)3
Step-by-step explanation:
STEP
1 :
Equation at the end of step 1
(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3
Step 2:
(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3
Step 3:
(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3
Step 4:
((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3
Step 5:
Factoring: 27a3+54a2b+36ab2+8b3
Let the integers be x-1, x, x+1.
(x+1)² = (x-1)² + x² -140
x² + 2x + 1 = x² - 2x + 1 + x² - 140
2x = -2x + x² - 140
x² -4x -140 = 0
x² -14x +10x -140 = 0
x(x - 14) + 10(x - 14) = 0
(x - 14)(x + 10) = 0
x = 14 or -10
Going back to the criteria mentioned in the question and checking,
--- When x = -10
(-9)² = (-11)² + (-10)² - 140
81 = 121 + 100 - 140
81 = 81
--- When x = 14
(15)² = (13)² + (14)² - 140
225 = 169 + 196 - 140
225 = 225
Since both values satisfy the condition, both values are correct.
Hence, the 3 consecutive integers can be: -11, -10, -9 OR 13, 14, 15.
Answer:
14
Step-by-step explanation:
17 - 4 + 1 = 13 + 1 = 14