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TEA [102]
2 years ago
8

Solve for x. -5(3x + 6) = -3(4x - 2) You must show your work.

Mathematics
2 answers:
crimeas [40]2 years ago
8 0

Answer:

-5(3x + 6) = -3(4x - 2)

Distribute -5 through the parenthesis

-15x - 30 = -3(4x - 2)

distribute -3 through the other parenthesis

-15x - 30 = -3( -12x + 6 )

move the variable the left hand side, change sign

-15x + 12 - 30 = 6

move constant to the right hand side

-15x + 12 = 6 + 30

collect like terms

-3x = 6 + 30

add the numbers

-3x = 36

divide both sides by -3

-3/-3 = 36/-3

x = -12

AfilCa [17]2 years ago
7 0

Answer:

-5(3x + 6) = -3(4x - 2)

-15x-30=-12x+6

-30-6=-12x+15x

3x=-36

x=-36/3=-12

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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

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