The smallest of the three consecutive integers is 24.
<h3>How to solve algebraic word problems?</h3>
Let the 3 consecutive integers be;
x, y and z
Thus;
y = x + 1
z = x + 2
Now, we are told that their sum is equal to 4 times the largest number minus 29. Thus;
x + x + 1 + x + 2 = 4(x + 2) - 29
3x + 3 = 4x + 8 - 29
4x - 3x = 3 + 21
x = 24
Thus, we can conclude that the smallest of the three consecutive integers is 24.
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Answer:

Step-by-step explanation:
14 - 2xy when x = -6 and y = 2.

Answer:
4.6 per hour
Step-by-step explanation:
Decrease, means subtraction; 100% - 8% = 92%, or 0.92.
0.92(5) = 4.6 per hour
Answer: Second option.
Step-by-step explanation:
As you can observe in the picture given in the exercise, there are two Right triangles formed inside the rectangle: CDA and ABC.
You need to use the Pythagorean Theorem to solve this exercise. This is:

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.
If you solve for one of the legs, you get the following equation:

In this case, you can identify in the figure that:

Finally, you must substitute these known values into the equation
and then evaluate in order to find the value of "x". You get that this is:
