( Solving Linear Equations in One Variable )

What is the solution of the equation? Show your work.

1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2

Answers

Answer 1

Answer:

x=-2

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer 2

Answer:

x=-2

Step-by-step explanation:

1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2

multiply both sides of the equation by 4 to get rid of the fraction 1/4

2x+1.2=12(0.7x+3)-4*5 1/2

distribute 12 into parenthesis

2x+1.2= 8.4x+36-4*5 1/2

multiply -4 with 5 1/2

2x+1.2=8.4x+36-22

subtract numbers

2x+1.2= 8.4x+14

move X's to one side and numbers to another

2x-8.4x=14-1.2

collect like terms

-6.4x=12.8

divide by -6.4 to get x

x= -2


Related Questions

40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.

Answers

a) The inverse of the statement is the opposite. The statement stated that if two lines do not intersect, they are parallel. So, the opposite would be if two lines intercept, they are parallel. This inverse statement is false because, that is not true. Parallel lines mean they never intercept, not if they intercept its parallel.

b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.

c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.

I hope this helps!! Or some at least. :)

Good luck!

PLS SOLVE WITH EXPLANATION

-4(v + 1) = 2v-2 +2(3v + 2)

Make sure you simplify it as much as you can!​

Answers

Answer:

v = -1/2

Step-by-step explanation:

-4(v+1) = 2v - 2 + 2(3v + 2)

-4v - 4 = 2v - 2 + 6v + 4

-4v - 4 = 8v + 2

-4 = 12v + 2

-6 = 12v

-6/12 = v

v = -1/2


The answer to your problem is
V=-1/2
I simplified as much as I could possibly

can someone give me the answer and please explain this to me because i really don't understand what this means at all, I need someone to help me with this because i'm going to be asking multiple of these questions. So if u have friends or family who know this answer then please tell/ask them these questions so they can help understand fractions. Not asking in a mean way i am just really cuious because i never learned how to do this so just let your family / or friends know what these answers are to all of the questions that i am going to ask about fractions because these are really hard for me!

Answers

Step-by-step explanation:

the one is the middle top the one in the middle bottom and the one in the bottom right

In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her 7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability?

Answers

Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.

The tiles are chosen without replacement, hence, the hypergeometric distribution is used.

The population is composed by the 100 tiles.The sample is composed by 7 tiles.

The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.

[tex]\frac{100}{7} = 14.28 < 20[/tex]

Hence, the binomial distribution cannot be used.

A similar problem is given at https://brainly.com/question/25743676

Oliver is 6 more than twice as old as Sam. If Oliver is 21 how old is Sam?
Write an equation to represent the situation.

Answers

Answer:

7.5

Step-by-step explanation:

Lets give Oliver "O", and Sam "S".

O is 6 more than twice as old as Sam

O = 2S + 6

Since Oliver is 21, we can substitute it in

21 = 2S + 6

2S = 15

S = 7.5

wuts x im so confuseded 15 points uwu
−2/9x+2.7=4

Answers

Answer:

[tex]x=-5.85[/tex]

Step-by-step explanation:

[tex]-2/9x+2.7=4[/tex]

Subtract 2.7 on both sides

[tex]-2/9x=1.3[/tex]

Multiply by 9

[tex]-2x=11.7[/tex]

divide by -2

[tex]x=-5.85[/tex]

1) -x2
-Х2
I need help with this problem

Answers

if you typed in -x2-x2 it would be -x4

A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $380.00?

Answers

40 miles per week

Step-by-step explanation:

380-220 = 160÷4 = 40

You can travel 320 miles in one week for $320 miles.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car.

If the amount is $380.

Then, 380 - 220 = 160

And 160 divided by 0.5,

= 160/0.5

= 320 miles.

Therefore, the required distance is 320 miles.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

For what values of x and y are the two triangles congruent by HL?

Answers

Answer:

y = 4 and x = 11

Step-by-step explanation:

x = y + 7                  Substitute the first equation into the second equation and

                               solve for y

x + 1 = 3y

y + 7 + 1 = 3y

8 = 2y

4 =   y                      x = y + 7

                               x = 4 + 7

                                 x = 11

Can someone please help me with this?

Answers

Hello,

Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.

And then Khamis should have divided -5b by -5b.

Good Luck

Ali is correct
Ali is correct

what is the current produced by a 9-v battery flowing through a resistance of 150 ω

Answers

Answer:

Step-by-step explanation:

A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".

what is 846837947+858

Answers

Answer:

846,838,805

Step-by-step explanation:

Add 846837947+858

i need help on this last question

Answers

Mag aral ka Magdasal kamatulog ka ng maaga wag mong pagka alagaanbsari mo Kasi responsibilidad ko yun

Solve the given equation

3x + 7 = 14 + 3x

Answers

Answer:

no solution.

Step-by-step explanation:

3x+7=14+3x

3x-3x=14-7

      0=7

0 is not equal to 7, hence making this equation to have no solution.

Answer: no solution

Step-by-step explanation:

The radius of a circle is 15 inches. What is the circumference of the circle? Write your answer using .​

Answers

Answer: C ≈ 94.25 in

Step-by-step explanation:

12 liters to quarts rounded to nearest hundredth

Answers

Answer:

12.6

Step-by-step explanation:

have a wonderful day :)

Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB

Answers

Answer:

3

Step-by-step explanation:

36 ÷ (x + 9)

=> 36 ÷ (3 + 9)

=> 36 ÷ 12

=> 3

Therefore, 3 is the answer.

5. Look at the shaded products. What pattern do you see?

Answers

Answer:

8+6+4

Step-by-step explanation:

John’s weekly salary is $428.25. His employer is changing the pay period to semimonthly. What will John’s semimonthly salary be to the nearest cent?

Answers

Answer:  $856.50

Step-by-step explanation:

Semimonthly means twice a month.

2*(428.25) = $856.50

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Take 2 points

(10,50)(30,60)

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{60-50}{30-10}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{10}{20}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{1}{2}[/tex]

The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.

Answers

The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

The given parameters are:

[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the treeh represents the height of the tree

The distance (s) is then calculated using the following sine ratio

[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]

Make s the subject

[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]

Substitute [tex]\mathbf{\theta =36^o}[/tex]

[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]

Evaluate sin(36)

[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

The height of the tree is not known.

Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

Read more about elevations and distance at:

https://brainly.com/question/14550522

The expression that represents the required distance is

The given parameters are:

--- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the tree

h represents the height of the tree

The distance (s) is then calculated using the following sine ratio

Make s the subject

Substitute

Evaluate sin(36)

The height of the tree is not known.

Hence, the expression that represents the required distance is

Read more about elevations and distances at:

brainly.com/question/14550522

#SPJ4

-4/7÷8/9 help me with it please

Answers

Answer:

-36/56

Step-by-step explanation:

plss hurry For a brainlist Please help:)

Determine the graph of the function f(x)=3^x−4

Answers

Answer:

It is D

Step-by-step explanation:

The equation of the horizontal asymptote is  y = − 4  .Horizontal Asymptote:  y = - 4

solve the equation please
142=10+4x+7x
x= what

Answers

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

what is the vertex of the parabola -2=3(x+3)^2?

Answers

Answer:

P(-3 , -2)

Step-by-step explanation:

Find the slope \mathrm{m}m of the line in the graph below. ​ ​ \mathrm{m} =m=

Answers

Answer:

[tex]m=4[/tex] or [tex]m=\frac{4}{1}[/tex]

Step-by-step explanation:

To find slope we use the slope formula

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

Two points on the line we can classify are (3,4) and (4,8)

942 flowers in157 vases= flowers per vase

Answers

Answer : 942/157 = 6

If you divide them it’s

6 flowers per vase

There are two bowls. One of them has 60gems and the other has 40gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?.

Answers

estimated 15 over 100

14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer

Answers

$6.25 jdhdhdhdhdhdbrr
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