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
lesantik [10]
3 years ago
10

Lee las situaciones y realiza lo siguiente con cada una:

Mathematics
1 answer:
Julli [10]3 years ago
6 0

Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) see the explanation

Step-by-step explanation:

<u><em>The question in English is</em></u>

Read the situations and do the following with each one:

Write down the magnitudes involved

Write which magnitude is the independent variable and which is the dependent variable

It represents the function that describes the situation

SITUATIONS:

1) A machine prints 840 pages every 30 minutes.

2) An elevator takes 6 seconds to go up two floors.

3) A company rents a car at S/ 480 for 12 days.

4) 10 kilograms of papaya cost S/ 35

Part 1) we have

A machine prints 840 pages every 30 minutes

Let

x ----> the time in minutes (represent the variable independent or input value)

y ---> the number of pages that the machine print (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=840\ pages\\x=30\ minutes

substitute

 k=\frac{840}{30}=28\ pages/minute

The linear equation is

y=28x

Part 2) we have

An elevator takes 6 seconds to go up two floors.

Let

x ----> the time in seconds (represent the variable independent or input value)

y ---> the number of floors (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=2\ floors\\x=6\ seconds

substitute

 k=\frac{2}{6}=\frac{1}{3}\ floors/second

The linear equation is

y=\frac{1}{3}x

Part 3) we have

A company rents a car at S/ 480 for 12 days.

Let

x ----> the number of days (represent the variable independent or input value)

y ---> the cost of rent a car (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=\$480\\x=12\ days

substitute

 k=\frac{480}{12}=\$40\ per\ day

The linear equation is

y=40x

Part 4) we have

10 kilograms of papaya cost S/ 35

Let

x ----> the kilograms of papaya (represent the variable independent or input value)

y ---> the cost  (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=\$35\\x=10\ kg

substitute

 k=\frac{35}{10}=\$3.5\ per\ kg

The linear equation is

y=3.5x

You might be interested in
Find the sum of the following infinite geometric series, if it exists. <br> 2/5+12/25+ 72/125...
Agata [3.3K]
Each time multiplied by 6/5
the common ratio is 6/5
since |6/5|>1, the series does not converge to a single number and the sum approaches positive infinity


there is no real number that the sum of this series approaches
6 0
3 years ago
The line that BEST models the data shown in the scatterplot is line
Travka [436]

D because the data generally goes downward just as the arrow for answer choice D.

5 0
3 years ago
Read 2 more answers
What is the probability of rolling a 3 on a single die?
NISA [10]
The answer is C there are 6 numbers on one dice and there is only one 3 so the possibility is 1/6
3 0
3 years ago
1/2(8-6y) + 1/5(10y - 25)<br> Please help :)
Nina [5.8K]
9-5y , o tambien puede ser -y-1
6 0
3 years ago
Plz to the 2 pic help me look at the 1 one and help on 2 one
stealth61 [152]

Hey, sorry this took so long for you to get an answer. Let me try.

<h2>Answers:</h2>

Part A: Answer choice C.

Part B: 6 people can come to the bowling alley.

<h2>Explanation:</h2>

For Part A, I've concluded that the answer is C. Ben can't spend more than $80, so it has to be equal to or less than 80. The flat fee is $45, and the cost per person is variable, $5.50p, so I combined all of those together and got <em>45+5.50p ≤ 80 .</em>

This is answer choice C.

And for Part B, I got 6. I got this answer from doing 80, the maximum cost, minus the flat rate, 45. Then, I divided this number by 5.50 to get the number of friends that could be paid for.  I originally got 6.3636... but I rounded down because you can't have 0.3636... of a friend to come to the bowling alley.

Hopefully this isn't too late. Good luck.

8 0
3 years ago
Read 2 more answers
Other questions:
  • SOMEONE HELP PLEASE! ASAP!
    12·1 answer
  • Which strategy would not correctly solve this story problem? Jason bought a bagel and a cup of coffee each Saturday. Each bagel
    11·1 answer
  • Jack got the expression 7x+1 and then wrote his answer as 1+7x . is his answer an equivalent expression? how do you know?
    8·1 answer
  • Solve x/2 - 3 = 7. 5 10 20 40
    15·2 answers
  • After 9y - 18 = 27 is simplified to 9y = 45, what is the second step to solve for the variable "y"? Is it A. Divide both sides b
    7·2 answers
  • I need help in this question please !​
    9·2 answers
  • Help ASAP! BRAINLIEST!
    11·1 answer
  • What is the quotient of (x3 + 8) ÷ (x + 2)? x2 + 2x + 4 x2 – 2x + 4 x2 + 4 x2 – 4
    11·2 answers
  • I just need help solving this problem. Also please don't put the answer into a file because I can't open them. It's also really
    6·1 answer
  • Find an ordered pair (x,y) that is a solution to the equation. 3x-y=8
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!