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

Does the table below show a linear or exponential function?


X 0 1 2 3
Y 70 49 28 7

Answers

Answer:

following! not to sure what the answer is

Step-by-step explanation:

find x in the given triangle ​

Answers

X = 19
Because it’s an isosceles triangle, those two sides have to equal to each other so
2x+ 7 = 45
Subtract 7 from both sides
2x = 38
Divide by 2
X = 19
The Awnser is 19 I think

What is -5x +81x -15

Answers

Answer:

i think its 76x - 15

Step-by-step explanation:

Sorry if its wrong

Answer:

Answer is 76x -15

Step-by-step explanation:

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

Determine if this is a function or not based on the graph
O yes
O no

Answers

Answer:

yes

Step-by-step explanation:

brainiest plz

What type of triangle is this ???? Pleaseeee helppppp !!!!!!!!!!! Will mark Brianliest correct answer !!

Answers

Answer: This triangle is an iscoceles acute traingle. It is also an isocelceles right triangle

Step-by-step explanation: In the traingle, you have 2 45 degree angles. That means isoceles acute is correct. Isoceles right is also correct because you have a right angle and 2 equal angles.

A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 8 cupcakes on the third tray, 16 cupcakes on the fourth tray, and 32 cupcakes on the fifth tray. If this pattern continues, how many cupcakes will the baker put on the sixth tray?

Answers

Answer:

64 cupcakes

Step-by-step explanation:

Tray 1 = 2 cupcakes

Tray 2 = 4 cupcakes

Tray 3 = 8 cupcakes

Tray 4 = 16 cupcakes

Tray 5 = 32 cupcakes

Tray 6 = ?

This is a geometric progression

First term, a = 2

Common ratio, r = 4/2

= 2

6th term = ar^n-1

= 2 × 2^6-1

= 2 × 2^5

= 2 × 32

= 64

The 6th tray will have 64 cupcakes

First to answer this correctly will get a brainlliest.

Answers

The answer is y=mx+b y=(-2)-(1/2)

Simplify 5 - 2 · 3 + 4.

Answers

5 because PEMDAS 2 times 3 6 then A add 6 + 4, 10 S subtract 10-5=5 answer is 5

Answer:

3

Step-by-step explanation:

5-2x3+4

PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.

So basically it wants the y-value :)

Answer:

1.25

Step-by-step explanation:

the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line

A hang-glider 25 meters above the ground started to descend (go down) at a constant rate of 2 meters per second. Which equation could be
used to determine the height h of the glider after t seconds of descent?

Answers

Answer:

Step-by-step explanation: h = -2t + 25

2t = the distance the glider will pass descending with constant speed of 2 m/s (distance = speed*time)

25 = the initial height that will decrease by the distance that the glider will pass while descending during time t

1. y = 5x + 2, (2,7)

Answers

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

Tap for more steps...

x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

Proportions - 5/10
earn 5 coins
A recipe needs 2 tablespoons of vegetable oil for every cup of flour. If you plan to use 3 cup
Flour, how much vegetable oil will you need?

Answers

Answer:

2 t / 1 c

2/1=x/3

6=x

6 tablespoons

Answer:

8 Tablespoons trust me.

Step-by-step explanation:

^^^ this too please

Answers

I believe the measurement of CD is 90 degrees

A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused

Answers

Answer:

...520 miles

Step-by-step explanation:

if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)

10.Adrienne is going to deposit $8,500 in an account that earns 2.5% interest for 360 months. How much more interest will she earn if the account earns annual compound interest rather than annual simple interest?

Answers

Answer:

Difference= $3,090.15 in favor of compounded interest

Step-by-step explanation:

Giving the following information:

Present value (PV)= $8,500

Ineterest (i)= 0.025/12= 0.00208

Number of periods (n)= 360 months

We will calculate the future value of each option and determine the difference:

Simple interest:

FV= (PV*i*n) + PV

FV= (8,500*0.00208*360) + 8,500

FV= $14,864.8

Compounded interest:

FV= PV*(1+i)^n

FV= 8,500*(1.00208^360)

FV= $17,958.95

Difference= $3,090.15

-2=3+v
Help please ty very much

Answers

Answer:

v = -5

Step-by-step explanation:

to get v by itself, you must subtract 3 from both sides, not only to cancel out the positive 3 but to keep both sides equal. this leads to -5 = v so that's your answer.

Answer:

Your answer is: [tex]V= -5[/tex]

Solve for  v  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Choose the situation in which the use of approximate numbers is most appropriate.
A)
planting trees in your yard
B)
ordering chairs for a kitchen table
purchasing barbeque to serve at a party
D
ordering uniforms for the high school basketbalt team

Answers

I good with D because i think it’s for Sure the right answer

Answer:

I would say that A  is your answer.

I think this because you would not need to have any specific number of trees in your yard, but you would need a specific number of things for all of your other options.

Step-by-step explanation:

You probably wouldn't approximate on how many chairs you put in a kitchen. What if you have a 5-member family and you aproxomate the chair number to 4. that would be useless so B is wrong.

C is wrong because you are only getting 1 barbaque. no approximation is nessisary for one item.

D is certainly wrong because you wouldn't want to leave out a uniform, that would mean one member of the basketball team may not get one.

In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area

Answers

Area is the right answer... I guess

Answer: perimeter

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer :

[tex]\pink{\sf Third \: side \: of \: the \: triangle = 45}[/tex]

Solution :

As, the given triangle is a right angled triangle,

Hence, We can use the Pythagoras' Theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

Here,

H = Hypotenuse of triangleB = Base of triangle P = Perpendicular of triangle

In given triangle,

Base = 24Hypotenuse = 51Perpendicular = ?

Now, by Pythagoras' theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

[tex] \sf : \implies (51)^{2} = (24)^{2} + P^{2}[/tex]

[tex] \sf : \implies 51 \times 51 = 24 \times 24 + P^{2} [/tex]

[tex] \sf : \implies 2601 = 576 + P^{2}[/tex]

[tex] \sf : \implies P^{2} = 2601 - 576[/tex]

[tex] \sf : \implies P^{2} = 2025[/tex]

By squaring both sides :

[tex] \sf \sqrt{P^{2}} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{(45)^{2}}[/tex]

[tex] \sf : \implies P^{2} = 45 [/tex]

[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}[/tex]

━━━━━━━━━━━━━━━━━━━━━

yo cheyla2004 i really need your help my small brain cant comprehand this but what is 8+1+1

Answers

Answer:

The answer is 10

Step-by-step explanation:

algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .

Convert 10 kg⋅cm/s2 to Newtons.


1×10−1 N

1×10−2 N

1×10−5 N

1×10−6 N

Answers

Answer:

B

Step-by-step explanation:

If it’s right can you mark me brainliest ty

The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given the metric unit of force,

10 kg⋅cm/s²

Since,

1 meter = 100 cm ⇒ 1 centimeter  = 0.01meter

So,

10 kg⋅cm/s² = 10 kg (0.01)m/s²

10 kg⋅cm/s² = 10 × 0.01  kg m/s²

10 kg⋅cm/s² = 1×10−1  kg m/s²

Since,

kg m/s² = Newton (N)

So,

10 kg⋅cm/s² = 1×10−1 N

Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ6

Which mixture would taste different? Mixture 1: 1 cup water, 1.5 teaspoons drink mix Mixture 2: 2 cups water, 1/2 teaspoon drink mix Mixture 3: 1 cups water, 1/4 teaspoon drink mix Mixture 1 Mixture 2 Mixture 3

Answers

Answer:

Drink 1 will taste different.

Step-by-step explanation:

Given the mixtures:

Mixture 1: 1 cup water and 1.5 teaspoons drink mix

Mixture 2: 2 cups water and [tex]\frac{1}{2}[/tex] teaspoons drink mix

Mixture 3: 1 cup water and [tex]\frac{1}{4}[/tex] teaspoons drink mix

To find:

Which of the mixtures will taste different?

Solution:

To answer this, we need to find the ratio of all the mixtures.

First of all, Let us make ratio of water as 1 quantity.

Ratio of 1st mixture = 1 : [tex]\frac{3}{2}[/tex]

Ratio of Mixture 2 contains 2 cups of water.

Let us divide the ratio of mixture 2 with 2, we get:

[tex]\frac{2}{2}:\dfrac{\frac{1}{2}}{2}\\\Rightarrow 1:\dfrac{1}{4}[/tex]

Ratio of 3rd mixture = [tex]1:\frac{1}{4}[/tex]

Ratio of drink mix of 1st mixture with 1 cup water is different.

So, drink 1 will taste different.

19,212 x 10*2 =
92.3
1932
Help please

Answers

Please make sure your question is formatted correctly and ill answer it for you.

Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.

Answers

Answer:

callum bought 78.6 stamps

What is the circumference of circle E?
(Use 3.14 for a.)

Answers

Answer:

15.7

Step-by-step explanation:

circumference = pi x diameter

3.14 x 5 = 15.7

1/3x + 2y =4 x + y =-3

Answers

Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

what is the value of y for which a ll b

Answers

Answer:

110

Step-by-step explanation:

math!
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First try was incorrect
Rosa travels 20 miles per hour. How long does it take her to travel 2
miles? Your answer should be in hours, rounded to the nearest tenth.
label required
Х
x² f(x) qx x

(x) x < > TI"

Answers

Answer:

it takes her 1/10 of an hour

Step-by-step explanation:

math

solve What is 13.789 rounded to the nearest tenth?

Answers

Answer:

13.8

Step-by-step explanation:

8 is greater than 4 so you round up and get 13.8

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