By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
<h3>How to solve an algebraic equation</h3>
In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:
- - 10 · x + 1 + 7 · x = 37 Given
- (- 10 · x + 7 · x) + 1 = 37 Associative property
- -3 · x + 1 = 37 Distributive property/Definition of subtraction
- - 3 · x = 36 Compatibility with addition/Definition of subtraction
- x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
To learn more on linear equations: brainly.com/question/2263981
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Answer:
-1/3
Step-by-step explanation:
The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.
Answer:
4/1 is the answer
Step-by-step explanation:
according to rules 1st divide then multiple
last addition and subtraction
We first approach this problem by illustrating the situation. Refer to the diagram attached.
From the diagram, we can clearly see that we need to simply solve for the length marked x in order to find the distance between the foot of the ladder to the base of the wall.
Remember SOHCAHTOA. We can apply here the concept of cosine since we have the angle. Incorporationg x into the equation, we can simply make use of the relation cosine 72° = adjacent/hypotenuse.


ANSWER: The distance between the foot of the ladder and the base of the wall is 4.6 feet.
Front end estimation for this question would be to the nearest hundred. So 125 rounded to the nearest hundred is 100, 123 to the nearest hundred is 100, 392 to the nearest hundred is 400, and 294 to the nearest hundred is 300. Adding 100 + 100 + 400 + 300 would be 900.
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Hope this helps!