A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price

Lee las situaciones y realiza lo siguiente con cada una:

Julli [10]

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

$y=3.5x$

6 0

2 years ago

I need some help with this<br><br>

dalvyx [7]

$\pink{\underline{{\boxed{\bf{QUESTION: }}}}}$

-6(x+4) = _____

$\pink{\underline{{\boxed{\bf{OPTIONS:}}}}}$

6x - 4❌
-6x + 4❌
-6x - 24✔️
6x + 24❌

$\pink{\underline{{\boxed{\bf{ ANSWER: }}}}}$

-6(x+4) = <u>-6x - 24</u>

<h3>Hope It's helped! :)</h3>

4 0

2 years ago

Who's is the solution set of the compound inequality 3.5x-10>-3 and 8x-9<39

velikii [3]

3.5x-10>-3 add 10 to both sides

3.5x>7 divide both sides by 3.5

x>2

... now for the other inequality:

8x-9<39 add 9 to both sides

8x<48 divide both sides by 3

x<6

So we have x>2 and x<6, so the compound inequality is:

2<x<6 and this means that the solution set is:

x=(2, 6)

4 0

2 years ago

Read 2 more answers

T takes 46 minutes for 10 people to paint 3 walls.

Tasya [4]

Answer:

69 mins

Step-by-step explanation:

46/10=4.6 mins per wall

46/4=11.5 mins per wall

11.5 x 6=69

6 0

2 years ago

The expression x+8x+10 is modeled below

adoni [48]

Answer:

add 6 unit tiles

Step-by-step explanation:

The square is completed when the algebra tile grid pattern is a square. This one will be a square when 6 more unit tiles are added to fill the empty spaces at the bottom right.

3 0

1 year ago

Read 2 more answers