For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
<h3>How to apply systems of linear equations in real life equations</h3>
In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:
<em>y = x - 5</em> (1)
<em>0.5 · y =</em> <em>z</em> (2)
<em>x + y + z = 6250</em> (3)
The solution of the system of <em>linear</em> equations is described below:
<em>x =</em> 2503, <em>y =</em> 2498, <em>z =</em> 1249
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
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Answer:
See explanation
Step-by-step explanation:
A. Given the equation

Using the subtraction property of equality (subtracting 5 from both sides of equation), we'll get an equivalent equation

B. Given the equation

Using the addtion property of equality (adding 4 to both sides of equation), we'll get an equivalent equation

C. Given the equation

Using the division property of equality (dividing both sides of equation by 2), we'll get an equivalent equation

D. Given the equation

Using the multiplication property of equality (multiplying both sides of equation by 2), we'll get an equivalent equation

The best deal is C $4.29 for 12oz
We have a triangle, when:
hypotenuse=slant height=20 ft
opposite side=height of the tree=?
angle formed by the tree with the ground=72º
sin Ф=opposite/ hypotenuse ⇒ opposite=(hypotenuse)(sin Ф)
In this case:
oppssite=20 ft /sin 72º=19.021...≈19
Answer: the heigth of the tree is 19 ft.
Well, the volume of a rectangle is length * width * height, so you would multiply 4 * 2 * 3 = 24 cubic units. Hope this helps!