1/4x + 1/3 = 1/6x - 1/4

Answers

Answer 1
1/4x + 1/3 = 1/6x - 1/4

We simply want to isolate x.

So, we must get x onto it's own side of the equal sign.

To do that, we subtract 1/3 from both sides.

1/4x = 1/6x - 1/4 - 1/3


Then, subtract 1/6x from both sides.

1/4x - 1/6x = -1/4 - 1/3

Simplify.

1/4x → 3/12x  ; -1/6x → -2/12x   ; -1/4 → -3/12  ; -1/3 → -4/12

Plug these into our equation.

3/12x - 2/12x = -3/12 - 4/12 

Simplify.

1/12x = -7/12

Multiply everything by 12.

12 · 1/12x = -7/12 · 12

Simplify.

x = -7

~Hope I helped!~




Related Questions

Which fraction has a terminating decimal as it's the small expansion?

A) 1/3
B) 1/5
C) 1/7
D) 1/9

Answers

B. 1/5

When turned into a decimal, 1/5 is 0.2 which is a decimal that terminates. 
Its 1/5. If you divide all the numerators by the denominators, you'll notice that 1/5 is the only one that doesn't go on and on forever

What symbols relate to the numbers 25 ? 35

Answers

The symbols that would relate the two would be 25 < 35

George is at a trade show and is trading cards. He started the day with 50 cards, traded 5 of his cards for 1 of Billy's cards, traded 2 of his cards for 7 of Eloise's cards, and then traded 6 of his cards for 6 of Migel's cards. How many cards does he have at the end of the day?

Answers

51 cards because when he traded with billy he had 46 but then added 7 of eloise's cards he now has 51 and well migel is making an equal trade so by the end of the day he ends up with 51 cards 
50-5+1-2+7-6+6=51 you have to add and subtract the number of cards he had and traded

A salesperson's weekly paycheck is 15% less than a second salesperson's paycheck. The two paychecks total $1425. Find the amount of each paycheck.

Answers

Set up a system of equations
Let x=first salesperson's paycheck
y=second salesperson's paycheck
x= y-.15y
x+y= 1425

Solve by substituting x
(y-.15y)+y= 1425
1.85y= 1425
y= 770.27

Substitute 770.27 for y in order to solve for x
x= (770.27)-.15(770.27)
x= 770.27-115.54
x=654.73

So the first salesperson(x) has a paycheck of $654.73 and the second salesperson(y) has a paycheck of $770.27.

Hope this helps!



When a day of the week is randomly selected it is a saturday?

Answers

Because there are seven days in a week, there is a 1 / 7 (one in seven) chance of the day selected being a Saturday.

Hope this helps!
I guess 1/7, because there’s one Saturday only in a week?

How does a "for every" statement show a ratio comparison?

Answers

Example: For every 3 boys, there are 4 girls.

Ratio: 3:4 also 3/4

How to use it?

Example question: If there are 3 boys for every 4 girls and there are 27 boys in the class, how many girls are there?

How to set up the ratio:

3 27
— = —
4 x


Solve it?

[Cross Multiply]

3x= 108

[Divide]

X= 36

How to check it?

Reduce 27/36 and see if it equals 3/4

OR

Plug both into the calculator and both should come out with the same decimal. In this case it is 0.75

what sequence is next 3 9 27 81

Answers

You are multiply 3 each time, so your next number is

81 x 3 = 243

your answer is 243

hope this helps

How do I write 18,801,310 in expanded form using exponents

Answers

it's probaly too much sugarpie

the answer is

18,801,310 = (1 x 10^9) + (8 x 10^8) + (0 x 10^7) + (8 x 10^6) + (0 x 10^5) + (1 x 10^4) + (0 x 10^3) + (3 x 10^2) + (1 x 10^1) + (0 x 10^0)

Expanded form of a certain number involves writing out the place Number value of each digit in the number. The expanded Form of 18,801,310 is [tex] (1 \times {10}^{7} ) + (8 \times {10}^{6} ) + (8 \times {10}^{5} ) + (0 \times {10}^{4} ) + (1 \times {10}^{3} ) + (3 \times {10}^{2} ) + (1 \times {10}^{1} ) + (0 \times {10}^{0} ) [/tex]

[tex]1 = 10 \: million \: place \: = 1 \times 10000000 = 1 \times {10}^{7} [/tex][tex]8 \: = 1 \: million \: place \: = 8 \times 1000000 = 8 \times {10}^{6} [/tex][tex]8 = 100 \: thousand \: place \: = 8 \times 100000 = 8 \times {10}^{5} [/tex][tex]0 = 10 \: thousand \: place \: = 0 \times 10000 = 1 \times {10}^{4} [/tex][tex]1 = 1 \: thousand \: place \: = 1 \times 1000 = 1 \times {10}^{3} [/tex][tex]3 = 1 \: hundred \: place \: = 1 \times 100 = 1 \times {10}^{2} [/tex][tex]1 = 10s \: place \: = 1 \times 10 \: = 1 \times {10}^{1} [/tex][tex]0 = 0 \times {10}^{0} [/tex]

Hence,

[tex]18,801,310 = (1 \times {10}^{7} ) + (8 \times {10}^{6} ) + (8 \times {10}^{5} ) + (0 \times {10}^{4} ) + (1 \times {10}^{3} ) + (3 \times {10}^{2} ) + (1 \times {10}^{1} ) + (0 \times {10}^{0} )[/tex]

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A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from −15°F−15°F negative 15 degrees cap f to 45°F

Answers

Final answer:

The question is about the temperature range of a coat and its ability to withstand extreme temperatures.

Explanation:

The subject of this question is Physics, as it involves understanding the temperature range of a coat and its ability to withstand extreme temperatures.



Given that the coat is recommended for temperatures from -15°F to 45°F, it means that the coat is designed to provide sufficient insulation and protection within this temperature range. The negative symbol in -15°F indicates that it is below freezing point.



This suggests that the coat is designed to keep the wearer warm in sub-freezing temperatures, down to -15°F, and up to 45°F. It is important to note that the recommended temperature range may vary depending on individual tolerance, activity level, and wind chill factors.

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Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt?

Answers

Frequently, and even historically, the creation and use of negative numbers has been associated with debts. To denote a certain amount of debt, we add a negative sign before the amount to indicate the fact that it's a debt.

Here, Gena's food cart is $225 in debt, so we could indicate that with the negative number -225. If we're tripling the debt, we're going to be multiplying that debt by 3, which corresponds to the expression -225 x 3. If you're adding onto your debt, you're naturally going to still be in debt, so we leave the negative sign on and multiply 225 and 3, obtaining -225 x 3 = -675. Gena's food cart is now $675 in debt. 

Answer:

Step-by-step explanation:

A & B

The average full spreading rate over the last 20,000,000 years at placemark a in the red sea is _________. approximately 1 centimeter per year approximately 10 centimeters per year approximately 19 centimeters per year approximately 2 centimeters per year

Answers

Answer; approximately 1 centimeter per

5/8 of the 64 musicians in a music contest are guitarist. Some of the guitarist play jazz solos, and the rest play classical solos. The ratio of the number of guitarist playing jazz solos to the total number of guitarist in the contest is 1:4. How many guitarist play classical solos in the contest?

Answers

multiply 5/8 by 64
=40

1:4 means a fourth of them
so basically 10 out of 40

now just subtract 10 from 40 to get the amount of classical players

10 jazz & 30 classical

courtlynn combines 7/8 cup sour cream with 1/2 cup cream cheese. she then divides the mixture between two bowls. how much mixture does courtlynn put in each bowl?

Answers

4/5 because 7/8+1/2=8/10 so half of 8/10 is 4/5 and half goes in to each bowl
its 14/8 because to divide you have to swich one fraction and then multiply

If (6 to the power of 2)x = 1, what is the value of x? Explain your answer.

If (6 to the power of 0)x = 1, what are the possible values of x? Explain your answer.

PLEASE HELP AND EXPLAIN I CANT FAIL THIS QUESTION HELPPP!!!

Answers

do you Mean
(6²)x = 1
if yes then x =1/(6²) = 6-² or 1/36

also (6^0)x= 1
recall 6^0 = 1
so you have 1x=1
x=1

Crystal is having a painting party with her friends. Each friend will need two canvases. The equation to find the total number of canvases Crystal needs is c=2f , where c is the number of canvases and f is the number of friends. Which variable is the independent variable? A. c B. f C. There is no relationship between the variables.

Answers

the number of friends change the total number of canvases needed, so the number of friends is the independent variable, so the answer is B.

Tyler is playing a game in which he needs to guess an integer. Which of the following is a number that tyler can gues

Answers

well a interger is any negative number so -1 or -2 or -3 or -4......

To finance her community college education, Sarah takes out a loan for $3700. After a year Sarah decides to pay off the interest, which is 6% of $3700. How much will she pay?

Answers

6% of 3700 is 222 so Sarah will pay $222! Hope this helps tell me if this is wrong and I will correct it

Which mathematical expression is equivalent to the expression "nine less than six times the number t"?

Question 5 options:

A. 6 - 9t


B. 6t - 9


C. 9 - 6t


D. 9t - 6

Answers

The answer is C. 9-6t because it nine les than so you would be subtracting then it said six times the number t so you would have to multiply 6 times t.

The Expression is 6t - 9.

What is Equations?

An equation is a mathematical statement that connects two expressions of equal value by using the "equal to" symbol.

A mathematical statement with two algebraic expressions on either side of an "equal to (=)" sign is called an equation. It demonstrates the equality of the relationship between the expression written on the left and right sides.

Given Expression  "nine less than six times the number t"

which means number 9 should less than product of 6 and t

six times the number t implies the product of t and 6 which is equal to

6t,

and subtract 9 from 6t we get

6t - 9

Hence the expression "nine less than six times the number t" is 6t - 9.

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Recall that a prime number is a natural number whose only factors are itself and 1 (for example, 2, 3, 5, . . . ). the goldbach conjecture, posed in 1742, claims that every even number greater than 2 can be expressed as the sum of two primes. for example, 4 = 2 + 2, 6 = 3 + 3, and 8 = 5 + 3. a deductive proof of this conjecture has never been found. test the conjecture for at least 10 even numbers and present an inductive argument for its truth. do you think the conjecture is true? why or why not?

Answers

Prime Number is a number whose only factors are itself and one. For example 1,3,5,7,11,13,17,19,23… Now consider the following arguments : Every even number greater than 2 can be expressed as sum of two primes. Now consider the following premises:


Premise 1 : 4 = 2 + 2 

Premise 2 : 10 = 5 + 5 

Premise 3 : 12 = 5 + 7 

Premise 4 : 16 = 5 + 11 

Premise 5 : 18 = 5 + 13 

Premise 6 : 22 = 11 + 11 

Premise 7 : 30 = 7 + 23 

Premise 8 : 32 = 3 + 29 

Premise 9 : 40 = 3 + 37 

Premise 10 : 52 = 5 + 47 

Premise 11 : 100 = 3 + 97 

Conclusion : every whole number is sum of two prime numbers. 

 

All 11 cases are different, yet the rule applies to all. This outcome offers a strong inductive argument in favor of the conclusion or rule specified. It can be strengthened by additional cases that confirm the rule. Conjecture specified will be true because each number can be specified as sum of two primes. As each whole number will have difference os 1, 2, 3, 5, or 7 between the number and the nearest prime number. Consider the following example :


34 = 31 + 3 

36 = 33 + 3 


Hence the conjecture “Every number greater than two can ve expressed as the sum of two primes” is true.

A bicycle shop advertised all mountain bikes were priced at 1/4 discount.

Answers

If you are looking for the percent off it would be 25% off and if you were looking for the amount off in decimal form it will be 0.25.

A dance studio charges an application fee of $75 and $50 per month for membership. This is represented by the linear equation C = 50x + 75, where C represents the cost and x represents the number of months. They are running a "no application fee" special during the month of January. How should the linear equation be changed to represent the new price?

Answers

The first one is C = 50x + 75, where 75 is the application fee. When they take out the application fee, it will become:

C = 50x +75 (-75)

your answer will be C = 50x

hope this helps
Final answer:

To represent the new price during the 'no application fee' special, the dance studio's cost equation would change from C = 50x + 75 to C = 50x by removing the $75 application fee.

Explanation:

The dance studio's original cost equation is C = 50x + 75, where C represents the total cost and x represents the number of months of membership. The $75 in the equation represents the application fee. During the "no application fee" special in January, this fee is waived, so the new equation would only include the monthly membership cost, which is $50 per month. The new equation would be C = 50x, removing the application fee entirely from the cost calculation.

Marcos is organizing a fundraiser for his youth group. He spent $38.00 on paper products, $187.00 on food, and $40.00 on decorations. If his budget was $280.00, how much money does Marcos have left?
$15.00
$25.00
$115.00
$125.00

Answers

$15 hope this helped :))

Answer:

15$

These are simple algerbra problems.

passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?

Answers

Answer:

       Equation of line , 5x + 3y = 0

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here points are given by (-3,0) and (-6,5)

Slope[tex]=\frac{5-0}{(-6)-(-3)}=\frac{-5}{3}[/tex]

The slope of parallel lines are same. So slope of required line [tex]=\frac{-5}{3}[/tex]

Equation of a line with slope m passing through origin is given by

                    y =mx

               So equation of line, [tex]y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0[/tex]

Equation of line , 5x + 3y = 0

Answer: -5x -3y = 0

Step-by-step explanation:

took on edmentum/plato and got it right. enjoy :)

A normal distribution has a mean of µ = 100 with σ = 20. if one score is randomly selected from this distribution, what is the probability that the score will have a value between x = 90 and x = 120?​

Answers

0.5328 For this problem, you don't have a symmetric difference from the mean, but you can look at both sides. So first, figure out how many standard deviations you're below and above the mean. Standard deviations below the mean (90-100)/20 = -10/20 = -0.5 Standard deviations above the mean (120-100)/20 = 20/20 = 1.0 So your target ranges from half a deviation below to a deviation above the mean. Now using a standard normal table, look up the percentages associated with those deviations. Looking up -0.5 gives you a value of 0.19146 which means that 19.146% of the population lies between the mean and this deviation. Looking up 1.0 gives you a value of 0.34134 which means that 34.134% of the population lies between the mean and this deviation. Adding these values will give you the percent of the population that lies between the two limits. 0.19146 + 0.34134 = 0.5328 Therefore the probability of a random score in the population will have a value between 90 and 120 inclusive is 0.5328.

Graph the ellipse with equation x squared divided by nine plus y squared divided by sixteen = 1

Answers

x²/9 + y²/16 = 1

The general for mula of an ellipse is:

(x-h)²/a²  + (y-k)²/b² = 1. Since h = k = 0, this ellipse
x²/9 + y²/16 = 1
passes by the center O. (Note that a = 3 and b = 4)

Moreover sin b>a  so the majore axis is (on the y-axis) and a the minor axis (on the x-axis) [Its shape is as a vertical egg].

On a system of perpendicular axis that intercept in O., take on the x-axis 2 points A & B with respective coordinate A(3.0) and B(-3,0)
On the y-axis your report A'(0,+4) and B'(0,-4). So you have the vertex of the ellipse, then it's easy to draw it

Here is the picture of the answer above

which has the greater volume: a 4 meter cube or a rectangular solid that that is 8 meters long, 2 meters wide and 2 meters high

Answers

Answer:

The cube has the greater volume.


Step-by-step explanation:

The volume of a cube is given as:

[tex]V=x^3[/tex]

Where [tex]x[/tex] is the measure of 1 side (all sides of a cube are same)

The volume of a rectangular solid is given as:

[tex]V=l*w*h[/tex]

Where [tex]l[/tex] is the length, [tex]w[/tex] is the width, and [tex]h[/tex] is the height.


From the problem,

Volume of cube = [tex](4)^{3}=64[/tex] [since each side is given as 4]Volume of rectangular solid = [tex]8*2*2=32[/tex] [the length is given as 8, width is 2, and height is 2]

The cube has the greater volume.

Find the distance between 0,3 and -2-5 round nearest hundreth

Answers

The answer is 8.25
The formula for distance will be the √ (x2-x1)²+(y2-y1)². (as you can see)
Don't be intimidated! 
Step one:
Take the two cordinates (0,3) and (-2,-5)
Step two: It doesn't matter which one you choose, but choose one to be your x1,y1 and another to be your x2,y2 
In this situation I choose (0,3) to represent (x1,y1) and (-2,-5) to represent (x2,y2). DO NOT over think this, you got it!
Final Step:
Simply plug those numbers into the represented formula it should end up like 
√(-2-0)²+(-5-3)²
Simply solve it yourself or use a calculator such as Desmos to find you answer 

Hope this helps!
I want to draw your attention to the connection finding the distance between two points has with one of the oldest and most ubiquitous theorems in mathematics: the Pythagorean Theorem. If you'll recall, the Pythagorean Theorem states that, in any right triangle, the sum of the squares of its legs is equal to the square of its hypotenuse (the side opposite the triangle's right angle), or more formally:

a²+b²=c², where a and b are the length of the legs of the triangle, and c is the length of its hypotenuse.

What does that have to do with finding the distance between two points? For that, I want you to take a look at the two images I've attached to this post. If we just plot the two points on the x-y plane and draw a line between them, the connection to Pythagoras isn't too obvious, but when we connect the x and y components of the points, it should become immediately clear. The vertical and horizontal components of the points combine with the diagonal to form a right triangle, and the distance is the length of its hypotenuse!

We can't apply the theorem yet, though; we'll first need to find the lengths of the legs before we can determine the length of the hypotenuse. For that, we'll need to find the distance between each of the points' corresponding coordinates. To find those, we just need to subtract those coordinates from one another. We find the distance between the x coordinates to be 0 - (-2) = 2 and the distance between the y coordinates to be 3 - (-5) = 8.
 
(Note that we could've chosen to do the subtraction the other way around, too, obtaining negative differences. Usually, we'd deal with these by taking the absolute value of the result, but in this case, our answers will get squared away - literally - by the Pythagorean Theorem.)

Now that we have the legs of the triangle, we're ready to find the hypotenuse. We enter our values in:

2²+8² = d²
4 + 64 = d²
68 = d²
√68 = d

(we've chosen d here to represent "distance," though it plays the same role c did in the other statement of the theorem)

And from there, you can use the calculator of your choosing to get a good approximation.

One last note: here's a generalization of everything we did here, now that you have some background for why it is the way it is, and where exactly it comes from:

For any two points [tex](x_1,y_1), (x_2,y_2)[/tex]:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. Kevin determines about how many times the spinner will land on red or green, and his work is shown below.

Answers

From the problem, the way the spinner is set up could be 

red red blue blue green green yellow yellow purple purple

with two sections of each color and 10 total equal sections.

From this we know that 4 out of the 10 sections are red or green.
That means that there is a 4/10 chance of getting a green or a red every time Kevin spins. 

Multiply 180 by 4/10 and you get 72.

The spinner will land on red or green about 72 times.

Hope this helps!


Final answer:

Kevin's spinner will land on red or green approximately 72 times out of 180 spins since the probability of landing on red or green per spin is 0.4.

Explanation:

The student's question involves determining the expected number of times a spinner will land on specific colors, given that the spinner is spun a large number of times. In this scenario, Kevin has a spinner with 10 equal sections with 2 sections of each color - red, blue, green, yellow, and purple. When Kevin spins the spinner 180 times, he wants to figure out how many times it will land on red or green.

Since there are 2 sections each of red and green out of a total of 10, the probability of landing on either red or green for a single spin is P(red or green) = P(red) + P(green) = 2/10 + 2/10 = 4/10 = 0.4. To find the expected number of times the spinner will land on red or green after 180 spins, we simply multiply the total number of spins by the probability of landing on red or green: 180 spins * 0.4 = 72 spins. Therefore, we can expect the spinner to land on red or green approximately 72 times out of 180 spins.

What is the domain and range of f(x)=3x?

Answers

The required domain and range of the f(x) = 3x is (-∞, +∞) and (-∞, +∞) respectively.

What is a domain?

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
The function f(x) = 3x is a linear function where the output (the range) is directly proportional to the input (the domain).

The domain of this function is the set of all real numbers because we can substitute any real number for x and get a valid output.

The range of the function is also the set of all real numbers because we can get any real number as the output by multiplying a real number by 3. Therefore, the range of the function is also all real numbers.

In interval notation, we can represent the domain and range as follows,

Domain: (-∞, +∞)

Range: (-∞, +∞)

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what is the expressions equivalent to 50+30

Answers

2^4 * 5 should be it.
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