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vredina [299]
2 years ago
13

Hank has 50 peso, 200 peso and 500 peso bills in his wallet. He has five less 200 bills as 50 bills, and half as many 500 bills

as 200 bills. If he has Php 6250 in all, how many of each denomination does he have?
Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
8 0

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. \blacksquare

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472

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Describe the graph of the functions y=|x+2|
inn [45]

To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.

In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.

x = -3

y = |-3 + 2| = |-1| = 1

x = -2

y = |-2 + 2| = |0| = 0

x = -1

y = |-1 + 2| = |1| = 1

x = 0

y = |0 + 2| = |2| = 2

x = 1

y = |1 + 2| = |3| = 3

x = 2

y = |2 + 2| = |4| = 4

x = 3

y = |3 + 2| = |5| = 5

<u>  x   ║   y</u>

-3        1

-2        0

-1         1

 0        2

 1         3

 2        4

 3        5

Obtaining the graph shown in the image attached.

.

7 0
3 years ago
(02.01 LC)
ExtremeBDS [4]

Answer:

Yes it is a function

Step-by-step explanation:

We have to check the ordered pairs to find out if given relation is a function or not.

In an ordered pair, the first element represents the input and the second element represents the output.

The set of inputs is domain and output is range.

For a relation to be function, there should be no repetition in domain i.e there should be unique pairs of input and output.

In the given relation, the domain is {3,5,-1,-2}.

No element is repeated hence it is a function ..

7 0
3 years ago
If i= the square root of -1, what is the value of i to the 3rd power
serious [3.7K]
I^3 = i^(2+1) = i^2 x i -1 x i = -i
3 0
3 years ago
I have 5 numbers in a data set that have:
CaHeK987 [17]

Answer:

2,2,3,4,5

Step-by-step explanation:

Just show how to get the mean, median, mode, and range to justify the answer

Also hey Brailen

3 0
3 years ago
What is the slope of the line that goes through (2, 5) and (-6, -2) ?
alexira [117]
Answer:
slope = 7/8

Explanation:
Slope of the line can be calculated using the following equation:
slope = \frac{y2 - y1}{x2 - x1}

The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)

Substitute with the points in the above equation to get the slope as follows:
slope = \frac{-2 - 5}{-6 - 2} = 7/8

Hope this helps :)

7 0
3 years ago
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