1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b
storchak [24]

Answer:

A task time of 177.125s qualify individuals for such training.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so \mu = 145, \sigma = 25.

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when Z = 1.285.

So

Z = \frac{X - \mu}{\sigma}

1.285 = \frac{X - 145}{25}

X - 145 = 32.125

X = 177.125

A task time of 177.125s qualify individuals for such training.

7 0
3 years ago
What's the explicit formula for 5,10,15,20,25,30
vivado [14]

Answer:

a_{n} = 5n

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 5 , then

a_{n} = 5 + 5(n - 1) = 5 + 5n - 5 = 5n

4 0
2 years ago
The graph of the function f(x) is shown below.
faust18 [17]
Remember, parenthaees are like < and > and brackets ar like ≤ and ≥

domain is how far the x values go
x is left to right

we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain



range
highest to lowest y value

range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]



Domain=[-3,5)
Range=[-1,3]


B. read above and understand it
5 0
3 years ago
What is the estimate
grigory [225]
To find the biggest or close number say 70 is close to 75 or 70 the answer would be 70 I think but not sure
3 0
3 years ago
Read 2 more answers
Four times a number is the same as the difference of three times a number and four find the number round your answer to the near
maksim [4K]

Answer:

4

Step-by-step explanation:

Its four because:

4 x 3 = 12

12 + 4 = 16

4 x 4 = 16

Four times times three plus four is like saying four times four.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which is a solution to x + 5 = 8?
    15·2 answers
  • Find The Volume of the Prism
    7·1 answer
  • a cell phone call cost $0.07 per minute for the first 25 minutes and $0.10 per minute for each additional minute how much would
    6·1 answer
  • Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richi
    6·2 answers
  • Which of the following statements are true about the graph of f(x)= csc x? select all that apply
    10·2 answers
  • The sum of 2 numbers is 49. The second number is 15 less than the first number. The first number is
    12·2 answers
  • In a classroom, 1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students in the clas
    8·1 answer
  • Please, help me, im really desperate for help.<br><br> Max answer choices is 3
    7·1 answer
  • Asma was asked to compare the following two numbers.
    13·2 answers
  • Bestie help<br> Ok bestie thank you;)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!