Bruno solved the following equation: 4x + one half(10x − 4) = 6 Step Work Justification 1 4x + 5x − 2 = 6 2 9x − 2 = 6 3 9x = 8
1 answer:
Answer:
Statement Reason
1. 1. Distributive Property
2. 2. Combine like terms
3. 3. Addition Property of Equality
4. 4. Division Property of Equality
Step-by-step explanation:
The given equation is
Using distributive property, we get
(Combine like terms)
Using Addition Property of Equality, add 2 on both sides.
Using Division Property of Equality, divide both sides by 9.
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Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:
Replacing in the first equation:
So Sasha exercises 7 hours per week.
Max:
Max exercises 13 hours a week.
Answer:
Step-by-step explanation:
Using the Pythagorean Theorem, if you take 8 and square it, you get 64.
You then take 5 and square it giving you 25.
add the 64 and 25 to get you 89 = x squared.
Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)
Because 89 is not a perfect square, you can it it as the square root of 89.