Solve the equation x + 0.7 = 1 - 0.2x in two different ways.Then check your answer.Show your work!

1 answer:

6 0

Simplifying
x + 0.7 = 1 + -0.2x

Reorder the terms:
0.7 + x = 1 + -0.2x

Solving
0.7 + x = 1 + -0.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.2x' to each side of the equation.
0.7 + x + 0.2x = 1 + -0.2x + 0.2x

Combine like terms: x + 0.2x = 1.2x
0.7 + 1.2x = 1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
0.7 + 1.2x = 1 + 0.0
0.7 + 1.2x = 1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1.2x = 1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.2x = 1 + -0.7
1.2x = 1 + -0.7

Combine like terms: 1 + -0.7 = 0.3
1.2x = 0.3

Divide each side by '1.2'.
x = 0.25

Simplifying
x = 0.25

I only know 1 way.

You might be interested in

Drag numbers to the table so it shows a proportional relationship between x and y.

Yakvenalex [24]

Answer:

the second box for y is 9

the third box for x is 2.5

im not sure about the third box for y

8 0

2 years ago

Each letter of the word ASSESSMENT is written on a card and placed in a bag. You are equally likely to get any card.

NARA [144]

Answer:

I would say getting four S would be more percent than the other letters in the assessment word. They have more chance, and more possibility.

Step-by-step explanation: Brainliest please

6 0

3 years ago

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.

Serggg [28]

For this case we have a function of the form:
$y = A * (b) ^ x
$
Where,
A: initial amount
b: decrease rate
x: time in days
Substituting values we have:
$y = 40 * (0.85) ^ x
$
Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
Answer:
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

7 0

2 years ago

Write the equation of the line,in slope-intercept form, that has a slope of -2 and goes through the point (1,1)

kirza4 [7]

Answer:

The equation of the line would be y = -2x + 3

Step-by-step explanation:

In order to find the equation of the line, start by using point-slope form with the known information.

y - y1 = m(x -x1)

y - 1 = -2(x - 1)

Now that we have this, solve for y.

y - 1 = -2x + 2

y = -2x + 3

8 0

2 years ago

map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every $$20 miles. What

Fofino [41]

The area is 24 square inches so it would cost $480

3 0

3 years ago