Which equations show that the set of whole numbers is closed under addition?

Solve the linear equation: 3.4 + 2(9.7 – 4.8x) = 61.2 What are the possible steps involved in solving this equation? Check all t

DochEvi [55]

Answer:

Distribute 2 to 9.7 and −4.8x.
Combine 3.4 and 19.4.
Subtract 22.8 from both sides.
Divide both sides by −9.6

Step-by-step explanation:

Here is the recommended solution method:

3.4 + 2(9.7 – 4.8x) = 61.2 . . . . . given

3.4 + 19.4 - 9.6x = 61.2 . . . . . . . distribute 2 to 9.7 and -4.8x

22.8 - 9.6x = 61.2 . . . . . . . . . . . . combine 3.4 and 19.4

-9.6x = 38.4 . . . . . . . . . . . . . . . . . subtract 22.8 from both sides

x = -4 . . . . . . . . . . . . . . . . . . . . . . divide both sides by -9.6

_____

Alternate solution method using different steps

You can also "undo" what is done to the variable, in reverse order. The variable has these operations performed on it:

multiply by -4.8
add 9.7
multiply that sum by 2
add 3.4 to the product

So, another possible solution method is this:

3.4 + 2(9.7 – 4.8x) = 61.2 . . . . . given

2(9.7 -4.8x) = 57.8 . . . . . . . . . . . add the opposite of 3.4 (undo add 3.4)

9.7 -4.8x = 28.9 . . . . . . . . . . . . . divide by 2 (undo multiply by 2)

-4.8x = 19.2 . . . . . . . . . . . . . . . . . add the opposite of 9.7 (undo add 9.7)

x = -4 . . . . . . . . . . . . . . . . . . . . . . divide by -4.8 (undo multiply by -4.8)

5 0

4 years ago

Read 2 more answers

At what point does the line given by the following equation cross the y-axis?

NISA [10]

D IS THE CORRECT ANSWER

4 0

3 years ago

1. Which equation shows a non-proportional

patriot [66]

Answer:

Option D. $y=2x+2$

Step-by-step explanation:

we know 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 a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case A) we have

$y=-2x$

Is a equation of the form $y=kx$

The value of k=-2

This equation represent a proportional relationship

case B) we have

$y=2x$

Is a equation of the form $y=kx$

The value of k=2

This equation represent a proportional relationship

case C) we have

$y=-2x+0$

The line passes through the origin, because the y-intercept is b=0

This equation represent a proportional relationship

case D) we have

$y=2x+2$

The line not passes through the origin, because the y-intercept is not equal to zero (b=2)

This equation not represent a proportional relationship

4 0

4 years ago

What do you add to get 24 and multiply to get 144

valina [46]

That would be 12.

12 + 12 = 24

12 x 12 = 144

7 0

3 years ago

Read 2 more answers

Please help with this I’m lost

weeeeeb [17]

The answers to the questions

4 0

3 years ago