Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.

Answers

Answer 1

Answer:

x = -30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2

Step 2: Solve for x

Distribute 0.2:                         0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms:                -0.1x + 2 = 0.2x + 11Add 0.1x on both sides:          2 = 0.3x + 11Isolate x term:                          -9 = 0.3xIsolate x:                                  -30 = xRewrite:                                   x = -30

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply:                               0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract:                      0.2(-110) + 27 = 0.2(-36) + 12.2Multiply:                               -22 + 27 = -7.2 + 12.2Add:                                     5 = 5

Here we see that 5 does indeed equal 5.

∴ x = -30 is the solution to the equation.


Related Questions

what is a 888888890000+123321= _______???

Answers

Answer:

The answer is 888889013321

Step-by-step explanation:

I hope l helped you.❤❤❤Stay safe ❤❤❤

Answer:

The answer is 888,889,013,321

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Alessandro and Francesca raced each other home from school. It took Francesca 13/15 as long as Alessandro to run home. Who got home first?

Answers

Answer:

Francesca got home first.

Step-by-step explanation:

Answer:

Francesca

Step-by-step explanation:

At $1.47 per gallon of gas, what is the cost of 15 gallons?

Answers

Answer: $22.05

Step-by-step explanation:  

We know,

1 gallon = $1.47

Then,

15 gallons = $1.47 * 15 = $22.05

Answer:

1 gallon gas = 1.47

15 gallon gas = 15×1.47

=22.05

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

120

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 + x^2 = 52^2

2304 + x^2 = 2704

x^2 = 2704-2304

x^2 = 400

x = 20

52 + 48 + 20 =

120

Need help please thank you

Answers

Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

I grew with the other comment have a great day whoever sees this!! :)))

Rachel's gym charges a one-time registration fee of $45 and a monthly fee of $39. Which
function can be used to find y, the total charges at this gym for x months?
Fy= 45x +39
Gy=6x +39
Hy=39x +6
jy=39x + 45

Answers

Answer: Its 39x + 45

Step-by-step explanation:

yes

On Monday, a local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

the answer would be 147.I hope this helps you

Step-by-step explanation:

4h=588

h=588÷4

pls answer both parts of this problem for a brainliest !!

Bianca can walk 5/6 of a mile in of an hour. What is her walking speed, in miles per hour?

Answers

Step-by-step explanation:

please see it, i work on paper worksheet

Answer:

2 1/2 miles

24 minutes per mile

420-69+80085+5318008
Will give brainliest

Answers

Answer:

The answer is 5398444

Answer:

420−69+80085+5318008

=5398444

Step-by-step explanation:

Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75

Answers

Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99

hope this helps :)

Answer:

the answer is c,   8.50

Step-by-step explanation:

5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3

Answers

I think 28fa haha s an

How is the Pythagorean theorem related to the distance formula?Explain.

Answers

Answer:

If you plot 2 points on a graph right, you can form a triangle between the 2 points. You can determine the legs's sizes using the coordinates of the points. Pythagorean theorem is then used to find the hypotenuse, which IS the distance from one point to the other. Hope that helps.

Step-by-step explanation:

Answer:

Sample Response: Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The 

Step-by-step explanation:

HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?

Answers

Answer:

$ 312.5 each member.....

Answer:

Each member of the family should pay 312.5

Step-by-step explanation:

You should only divide 312.5 by 4 = 312.5I hope I helped

How much force is needed to accelerate a 70 kg skier at 2 m/sec2?

Answers

Force = mass x acceleration

Force = 70 kg x 2 m/s^2

Force = 140 N

the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?

PLEASE HELP

Answers

Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

Fill in the blank 8(? +3) =48+24

Answers

Answer:

6

Step-by-step explanation:

treat the ? as an x. you need to get it by itself. but first you should distribute the 8.

8x + 24 = 48 +24

8x+24 = 72

take the 24 and subtract it from 72

8x= 48

now divide both sides by 8

x= 6

Answer:

6

Step-by-step explanation:

8(6 + 3) =48+24

8(9) = 48+24

72 = 48 + 24

72 = 72

Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?

Answers

Answer:  14% refused the offer.

Step-by-step explanation: Divide the number of refusals by the total sent.

35/250 = 0.14 Then multiply by 100 to change from decimal to percent.

The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)

0.14 × 100 = 14.  So the answer is 14%

what is the answer to this?​

Answers

Answer:

[tex] < 1 = 48[/tex]

Step-by-step explanation:

[tex] < 1 + 132 = 180[/tex]

[tex] < 1 = 180 - 132[/tex]

[tex] < 1 = 48[/tex]

because it's a straight angle(180)

The area of the parallelogram below is ____ square meters.



Numerical Answers Expected

Answers

Answer:

Step-by-step explanation:

The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:

6 × 8 = 48

The area of the parallelogram is 48

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Sara had 40 candies. She wanted to give to her friends. She each gave her friends 10 candies each. How many friends does she have??

Answers

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

[tex]\huge❤\bold\red{Hello}❤[/tex]

Hey mate 4 is your Answer

[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]

[tex]Mark \: me \: as \: brainliest .[/tex]

[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]

Answer:

4 friends

Step-by-step explanation:

The sum of two numbers is 52. The larger number is 10 more than the smaller number. What are the numbers?

Answers

Answer:

42?

Step-by-step explanation:

Just because 52-10 is 42..but thats to simple

Answer:

5.20000

Step-by-step explanation:

           25

Simplify   ——

           5

Which ordered pair is a solution of the inequality y < 3x + 1?

A. (−3, −2)
B. (3, 14)
C. (1, −3)
D. (1, 6)

Answers

Answer:

The answer is C. (1,-3)

Step-by-step explanation:

This is your perfect answer

How do you find the run between two points? Can the rise be negative? Explain​

Answers

Answer:

Step-by-step explanation:

To find run between two points, you will use the x-values.

For example, (2,3) and (4,5).

Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

To find the run of these two numbers, you will subtract the second x value from the first x value.

Your answer would be 2 for the run.

It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.

Example:

points (2,8) and (5,1)

1 - 8 would equal -7.

44 = 2 × (3 - 1)
help me answer this

Answers

Answer:

its a 48 lol (kkkkkkkkkkk)

Given 3m+6n-6 when m=4 and n=3. I need help with this

Answers

Answer: 24

Step-by-step explanation:

Since we are given the value for m and n, we can plug them in and solve the expression.

3(4)+6(3)-6          [multiply]

12+18-6                [add]

30-6                     [subtract]

24

Now, we know the value of the expression is 24.

Write an equation to represent the following description "fourteen less than 8 times a number is -11

Answers

Answer:

(8 * x) -14 = -11

Step-by-step explanation:

* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.

x = the number that is missing being multiplied by 8

I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.

this is important please help I will give brainiest to people who get both​

Answers

Answer:

First question is A.

Second question is C.

Step-by-step explanation:

First question is correct because non-linear graphs look just like that.

Second question is correct because 2 variables cannot equal the same thing in a function.

A cone, a cylinder and a sphere all have the same radius and the same height.Which would have the largest volume?

Answers

A sphere ms.gurl ya welcome

Answer:

The sphere and the cylinder

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time. John’s boat beings 30 miles from the dock and is 50 miles from the dock after 5 hours. The distance of Roberta’s boat from the dock is represented by the function y = 5x + 25, where x represents time and y represents the distance from the dock.

Which boat was farther from the dock at the beginning, and which traveled more quickly?

A. John’s boat was farther from the dock at the beginning, but Roberta’s boat traveled more quickly.

B. Roberta’s boat was farther from the dock at the beginning, and it traveled more quickly.

C. John’s boat was farther from the dock at the beginning, and it traveled more quickly.

D. Roberta’s boat was farther from the dock at the beginning, but John’s boat traveled more quickly.


Please Help!!!!

Answers

Answer:

c

Step-by-step explanation:

The correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time.

y = 5x+25

at starting x=0

y = 25 miles away from the dock

x = 5

y = 5×5+25

y = 50 miles

= (50 - 25)/5

= 5

Thus, the correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

What is the value of x?
Enter your answer in the box.

Answers

Answer:

7

Step-by-step explanation:

Other Questions
what are the functions of social organization to your life as a member of the family According to O*NET, what is the most common level of education among Licensing Examiners and Inspectors? Find the value of x please Please helpp!!A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? What percent discount does this represent from the original price? Round to the nearest whole percent. Write the expanded form of the expressionr(35t) WILL MAKE BRAILEST PLEASE HELP Add a computer manufacturing company, they produce two different types of computers. They can make 70 laptops per day while making 55 desktop per day. The company has a total of 14 machines to make computers. They can make a total of 905 computers per day. How many machines make laptops and how many make desktops? (QUESTION NUMBER 4 and in the picture is question number 5. PLEASE HELP WITH BOTH True or false - DNA and RNA store heredity to make proteins? i have the coronavirus Which of the following numbers is between 0.40 and 0.47?A) 7/50B) 19/50C) 21/50D) 43/50 Jeff sells the New York Times Sunday newspaper at a city corner near several churches. He sells each newspaper for $6.50 after purchasing them for $4.00. Any unsold newspaper can be returned to the New York Times for a $0.75 credit. Jeff expects demand on Sunday to be 75, 100, 125, or 150 newspapers and would like to order one of these four quantities from the New York Times. If the Jeff uses the minimax regret criterion, how many newspapers will he order What is 7 divided by 9.8? Legal codes protecting private property are most commonly associated with which modern system? How did Columbuss voyages affect Native American lives?IN UR OWN WORDS Read the excerpt from The Story of My Life by Helen Keller.Have you ever been at sea in a dense fog, when it seemed as if a tangible white darkness shut you in, and the greatship, tense and anxious, groped her way toward the shore with plummet and sounding-line, and you waited withbeating heart for something to happen? I was like that ship before my education began, only I was without compasssounding-line, and had no way of knowing how near the harbour was.Which statement best describes the purpose of the imagery in the excerpt?O It allows the reader to feel how lost Helen feels before she learns to communicate.O It allows the reader to feel how excited Helen feels when her new teacher arrives.O It keeps the reader in suspense and eager to find out what happens to Helen.O It paints a picture for the reader of how dangerous t is to be lost at sea. the value of a second-hand car is 8000Each year it loses 20% of it value at the start of this year. work out its value in 5 years time.pls show working out I will mark brainest and rate 5 stars Item 5Read the passage.The Ride of His LifeWhen Jesse Senko was 12 years old, he had an experience that literally changed his life. Senko was snorkeling while on vacation in the Cayman Islands with his family when a large sea turtle swam near him. Senko naturally did what any 12-year-old boy would do and decided to grab the turtle and go for a ride. That turtle ride, in some ways, has never ended. People find their passions in many different ways. Senko found his passion while riding on the back of a turtle when he was just 12 years old.Today, Senko is a conservation scientist at Arizona State University. He focuses his research and lifes work on marine resource sustainability. Can you guess what that includes? If you guessed sea turtles, you would be correct. In college, Senko majored in fisheries and wildlife science, and he also received a Master of Science degree in wildlife ecology. Much of the focus of his work is on saving endangered sea turtles.Sea turtles help keep the ocean healthy, and thus their well-being affects the entire ecosystem. They provide a natural regulatory system for the environment. For example, sea turtles eat seagrass, which helps it grow properly, and their unhatched eggs provide nutrients for plant life to keep beaches healthy. Sea turtles also provide a home for small animals that attach to their shells.Sea turtles are endangered because fishermen inadvertently catch them in their nets, which can cause the turtles irreparable harm. Senko came up with the idea to create solar-powered fishing nets so fishermen can readily see when they accidentally catch a sea turtle. Because the lights are solar powered, the fishermen do not have to maintain the lights or change the batteries. This technology has resulted in a 65 percent reduction in sea turtle catches thus far. Senkos goal is a 100 percent reduction.In "The Ride of His Life," what viewpoint is the author trying to communicate about Senko?Senko always knew his career would involve the ocean.Senko has a passion for working with sea turtles.Senko is an avid fisherman who wants to help save wildlife.Senko longs to be on the cutting edge of modern technology. If you rotate figure GTR 270 clockwise about the origin. What will be the coordinates of GTR (Please Help I need this done in five minutes.) What is the collective noun in the following sentence?The herd of cows grazed the rolling Vermont hills.O hillsVermontCOWSherdWhich one is the collective noun How did the Mongol empire build upon or transform the societies and relationships that prevailed before the Mongol movement? In what ways did Mongol rule stimulate the changes that emerged following the Mongol movement?