( 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

− 2 5 x − 9 < 9 10 solve and show work please I need help

Answers

Answer:

= -36.4

Step-by-step explanation:

- 25 x - 9 < 910

Add 9 to both sides

- 25 x < 919

Divide -25 to both sides

- 25 / - 25 < 919 / - 25

= -36.4

Estimate a 15% tip on a dinner bill of 79.45 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer: 12$

Step-by-step explanation:

We need to round 79.45 to the nearest 10 dollars, which is 80.

We can then get 15% of it easily since its a whole number by adding 10% (8) and 5% (4) to get an estimate of around 12 dollars.

Please help me with this!! I will mark brainlist!!

Answers

Answer:

54°

Step-by-step explanation:

Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so [tex]72+x+x=180 \rightarrow 2x=108 \rightarrow x = 54[/tex]

Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.

Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.

Answers

Answer:

y = 12.5x + 25

Step-by-step explanation:

first, we need to find the cost of the one-time service.

12.50*5.5 = 68.75

93.75 - 68.75 = 25

therefore, the one-time service fee is $25.

liam had to pay $12.50 every hour and thats where we get 12.5x from.

he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.

hope it helps :)

mark brainliest!!

Answer:

if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

d ≥ -7     ?  (ignore.....................................................................................................................................)

For the equation y = -x +5, find y when x = -3

Answers

Answer:

y= 8

Step-by-step explanation:

y= -x +5

To find the value of y when x= -3, substitute -3 into x and solve the equation.

When x= -3,

y= -(-3) +5

y= 3 +5

y= 8

Tickets for a concert cost $8 online plus a $3
processing fee. Tickets for the same show at the
door cost $9 each. How many tickets can you buy so
that the online price and the door price are the
same?

Answers

Answer:

3 tickets

Step-by-step explanation:

8x+3 = 9x

x = 3

What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.

Answers

To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE

The z-score with a confidence level of 95% is 1.96

Reasons:

The margin of error, MOE, is required when finding a sample mean of a

statistic, which specifies the range within which the true mean is located;

The margin of error is given by the formula;

[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]

Where:

σ = The standard deviation of the population

n = The sample size

[tex]z^*[/tex] = The z-value based on the applied confidence level.

Using the associated standard normal distribution table, by finding the

area between the z-score and the negative z-score, we have that 95% will

be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%

Therefore;

The z-score at 95% = 1.96

Learn more about z-score here:

https://brainly.com/question/6096474



2. Explain the relationship between depression and heart disease.

Answers

Answer:

People with depression may have uncommonly sticky platelets, the tiny cells that cause blood to clot. In patients with heart disease, this can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack. Some studies show that treating depression make platelets less sticky again.

Answer:

People with depression may have uncommonly sticky platelets and tiny cells that cause blood to clot.

Patients with heart disease can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack.

For people with heart disease, depression can increase the risk of an adverse cardiac event such as a heart attack or blood clots.

True or false: The relationship among the triple constraint variables is such that if any one changes, at least oneother is likely to be affected.

Answers

We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.

A relationship among the triple constraint variables is written as:

y = f(x, z)

Where the 3 variables are x, y, and z and represent cost, scope, and time.

This means that if either x or z changes, also does y.

And we always can rewrite the relationship in two other forms:

x = g(z, y)

z = h(x, y)

Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/25368922

a,√361/529 b,√240 c,√72 ​

Answers

Answer:

a. 19/28 or .826.

b. 4 times √15 or 15.492

c. 6 times √2 or 8.485

Step-by-step explanation:

Is the expression 32. 3-3 equivalent to 33.3-27 Explain.​

Answers

[tex]combine \: any \: like \: terms \: on \\ each \: side \: of \: the \: equation \: x - \\ terms \: with \: x - terms \: and \\ constant \: with \: constant.[/tex]

Hello there! :)

3-3 =0

33.3-27=6.3

So these two expressions are equivalent.

Expressions are equivalent (equal) when they equal the same number.

Example: 5*4 and 15+5 are equivalent.

Hope this helps!

Please mark brainliest!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex] here to help

Letting x represent the number of messages over 500, and y the total monthly charges, write

equations representing the charges for plans A and B.

Answers

Answer:

x=500

Step-by-step explanation:

I NEED TO FINISH THESE BY NEXT WEEK>

Answers

Answer:

domain is (2,-3)

range is (1)

8. Twice the greatest of three consecutive integers is 10 more that the smallest integer. Find the 3 integers.

Answers

Answer:

6, 7, 8

Step-by-step explanation:

Let the smallest integer be x.

The next greater one is x + 1.

The greatest of the three is x + 2.

Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.

2(x + 2) = x + 10

Solve the equation for x to find the smallest of the integers.

2x + 4 = x + 10

x = 6

The next one is x + 1.

x + 1 = 7

The greatest is x + 2.

x + 2 = 8

Answer: 6, 7, 8

Answer:

6, 7, 8

Step-by-step explanation:

You can set up variables to represent each of these integers.

For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.

Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.

Next solve for x using PEMDAS.

1. (x) + 10 = 2(x + 2)

2. x + 10 = 2x + 4

3. 2x - x = 10 - 4

4. x = 6

Now you can find the other integers by adding 1 and 2 to 6.

The correct answers should be 6, 7, 8.

Of 14 possible books you plan to take 8 with you on vacation how many possible coalitions of 8 could you have?

Answers

Answer:

let me think about this

Step-by-step explanation:

question i may help

This is a combination equation:

14C8 = 14!/8!(6!) = 3003

Answer: 3003

Answer number 2 please.​

Answers

Answer:

Obtuse scalene triangle

Step-by-step explanation:

1. Angles:

-> Acute triangle: all angles less than 60° -> Right triangle: one angle is 90° -> Obtuse triangle: one angle is greater than 90°

- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.

2. Sides:

-> Scalene triangle: all sides have different lengths-> Isosceles triangle: two sides have same length-> Equilateral triangle: all sides are the same

- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.

Therefore, the answer is an obtuse scalene triangle.

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Faster the deadline is so close let me sing

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

Elisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo

Answers

65h+129=584
584-129= 455
455/65= 7 hours she rented the limo

A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the percent decrease

Answers

Answer:

50% decrease

Step-by-step explanation:

50% = half

half of 42 is 21

there are 21 left, so 21 (which is half or 50%) were adopted

solve pls brainliest

Answers

1. None, it makes a cylinder

2. C

3. B

4. A

PLEASE HELP ME WITH THESE MATH PROBLEMS!! DUE TONIGHT!!

Answers

Answer:

a) 20.9ft b)148.5ft c)98.2ft d)50.3

Step-by-step explanation:

for a, b and c you can use SOHCAHTOA

a) sin(8)=height/150 so height=150sin(8)

b)cos(8)=distance/150 rearrange the same way

c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle

d) subtract the value found in c from the value found in a

Potential energy is described as

Question 1 options:

Stored energy


Decreasing energy


Movement


Friction

Answers

Answer:

Stored energy

Step-by-step explanation:

can you convert the following
1/8 to decimal and percent
and show work

Answers

Answer:

0.125 as a decimal and 12.5% as a percentage

Step-by-step explanation:

1 divided by 8 to get decimal and for percent take the value and multiply it by 100

solve the system of linear equations 3x-2y=16
6x-4y=32

Answers

Step by Step Solution

System of Linear Equations entered :

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

// Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Infinitely many solutions

Answer:

Step-by-step explanation:

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

recent ecological survey showed that the ratio of deer to foxes was 7 to 3 in one county in Texas. If there were 210 foxes in the county, what was the number of deer in the county?

Answers

Answer:490

Step-by-step explanation:

How to find if a triangle is obtuse acute or right.

Answers

Right triangles will always have a 90 degree angle in them. If your unsure of what a 90 degree angle is; try imagining a square, the corners of the square will all be 90 degrees resembling an L shape.
Example of possible angles(right): 90, 70, 20

Referring back to right angles, Obtuse triangles will always consist of one angle wider than 90 degrees.
Example of possible angles(obtuse): 120, 30, 30

And finally for acute triangles all angles in the triangle will be less than 90 degrees.
Example of possible angles(acute): 50, 70, 60

As far as differentiating the triangles, you should be able to tell by looking at them, if they are right they’ll have 1 L shape, if they are obtuse they will have one wide angle, and if they are acute all angles will be smaller than the L shape. If it’s not clear by looking at the triangles, you could always use a tool such as a protractor.

Hope this helps- S

Do number 6. This is not a quiz

Answers

Answer:

C

Step-by-step explanation:

B .  -A .   -b .   -b .   +a .   +b .   +c

b + b -b -b +a -a +c

c

Circle A has been enlarged to create circleA prime . The picture below shows the diameters of both circles.


Based on the information in the picture, what scale factor was used to create circle A prime ?

Answers

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  5/2

Step-by-step explanation:

The ratio of the diameters is equal to the scale factor:

  sf = (15 in)/(6 in) = 5/2

The scale factor used to create circle A' is 5/2.

A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator​

Answers

Answer:

A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator

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