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damaskus [11]
2 years ago
14

Solve.1.5 - 0.25(a + 4)= 3 + 3(0.05 - 0.5a)

Mathematics
2 answers:
alisha [4.7K]2 years ago
5 0
The answer should be 2.12 
Anika [276]2 years ago
4 0
Ok HI again but the answer should be -0.68 the steps are below!    Simplifying <span>5 + -0.25(a + 4) = 3 + 3(0.05 + -0.5a) Reorder the terms: 5 + -0.25(4 + a) = 3 + 3(0.05 + -0.5a) 5 + (4 * -0.25 + a * -0.25) = 3 + 3(0.05 + -0.5a) 5 + (-1 + -0.25a) = 3 + 3(0.05 + -0.5a) Combine like terms: 5 + -1 = 4 4 + -0.25a = 3 + 3(0.05 + -0.5a) 4 + -0.25a = 3 + (0.05 * 3 + -0.5a * 3) 4 + -0.25a = 3 + (0.15 + -1.5a) Combine like terms: 3 + 0.15 = 3.15 4 + -0.25a = 3.15 + -1.5a Solving 4 + -0.25a = 3.15 + -1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5a' to each side of the equation. 4 + -0.25a + 1.5a = 3.15 + -1.5a + 1.5a Combine like terms: -0.25a + 1.5a = 1.25a 4 + 1.25a = 3.15 + -1.5a + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 4 + 1.25a = 3.15 + 0.0 4 + 1.25a = 3.15 Add '-4' to each side of the equation. 4 + -4 + 1.25a = 3.15 + -4 Combine like terms: 4 + -4 = 0 0 + 1.25a = 3.15 + -4 1.25a = 3.15 + -4 Combine like terms: 3.15 + -4 = -0.85 1.25a = -0.85 Divide each side by '1.25'. a = -0.68 Simplifying a = -0.68</span>
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Step-by-step explanation:

The attached picture is instrumental to understanding the solution to this. There are different methods to approach this problem. But we will use observations to solve the problem.

Looking at the tree diagram, we see that the first row has 1 integer, the second has 2, the third has 4 and the fourth has 8. From here, we can see that a row has 2^n numbers where n = 0, 1, 2, 3, 4, . . .

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