X/4 -3 = 1/3 + 2x solve for x

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{x}{4}[/tex] - 3 = [tex]\frac{1}{3}[/tex] + 2x ...... (1)

(1) × 12 :

3x - 36 = 4 + 24x

21x = - 40

x = - [tex]\frac{40}{21}[/tex] = [tex]-1\frac{19}{21}[/tex]


Related Questions

ANSWER THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y=-2/3×

Step-by-step explanation:

y-(-4)=-2/3(×-6)

y+4=-2/3x+4

then subtract 4

y=-2/3×

you use the point slope form

y-y1=m(x-x1)

m equals slope

A farmer has two equal-size fields. He plants corn in 11/12 of the first field and in 6/12 of the second field. How much more of the first field does he plant with corn than the second field?​

Answers

Answer:

41.66% more than 2nd ..........

Write an equation in Standard Form. A store sells t-shirts for $12 each and
sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

Answers

Answer:

12x + 15y = 120

Step-by-step explanation:

x= t shirts

y= sweatshirts

x+y=total

12x + 15y = 120

(I got this question on a quiz and I got it right!)

I hope this helps!

The equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120

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.

The price for t-shirts = $12 each

The price for the sweatshirt = $15 each

Let's suppose x number of t-shirts and y number of sweatshirts bought.

Then,

12x + 15y = 120

The equation represents the total number of t-shirts and sweatshirts bought if spend $120

Thus, the equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120

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Enter an algebraic expression for the word expression.
twice a number x, minus 20
The expression is

Answers

Answer: 2/3 times 4

Step-by-step explanation:

can anyone help. me pass

Answers

28x+40 add up all of the x’s and then all the normal numbers

I don't know what point it is ​

Answers

Easy, put a dot on the -1 with your < facing < with a line underneath

Mrs. Thompson purchased 4 notebooks at $2.95 each and 4 pens at $1.50 each. How much did she spend in all?

Answers

Answer:

Step-by-step explanation:

Multiply the quantity by the price.

4 notebooks x $2.95 each=???

4 pens x $1.50 each=???

Answer:

$17.80

Step-by-step explanation:

9. Zay's age is twice his sister Taylor's age. If they add their ages together,
they get 27. How old are Zay and Taylor?*
A. Zay is 12; Taylor is 15
B. Zay is 18; Taylor is 9
C. Zay is 16; Taylor is 8
D. Zay is 9; Taylor is 18

Answers

Answer:

d

Step-by-step explanation:i use my brain ;)

Answer: B

Step-by-step explanation: it says that their combined age is 27 so that is what the equation must equal. It says that Zay is twice Taylor's age so lets say Taylor's age is X, Zay's age would be 2X. Combined it would be 3x. So the equation is

27= 3X

Now if you divide by 3 in both sides you should get 9. Now that's Taylor's age. Multiply by 2 and you get 18 AKA Zay's age.

two hundred twenty-one plus ninety

Answers

Answer:

311

Step-by-step explanation:

221 + 90 = 311

Answer:

311

Step-by-step explanation:

u coud of google that

ink cartridge weigh 1/8 pound .the total weigjt of cartridge in the boat is 4+ 1/2 pounds how many cartridge fose the box contains . can someone do a step by step awnser plss​

Answers

4+1/2/1/8 hope this helps

Shade the model to show the decimal 0.674 with 100 blocks. Please help!!

Answers

Answer:

0.674 means that it 674/1000

Step-by-step explanation:

which mean that if the model consist of 1000 squares, you have to shade 674 of the squares.

If the model consist of 100 squares, you have to shade 337 of the squares  ( you get the number after dividing both 674 and 1000 with 2)

juan adds 3.8+4.7 and gets a sum of 84 .Is his answer correct.tell how you know

Answers

Answer:

His answer was wrong the answer should be 8.5 .

Step-by-step explanation:

3.8+4.7=8.5

F(x)=-10x-3 ; compressed horizontally by a factor of 5/8

Answers

Answer:

yes?

Step-by-step explanation:

Fill in the table using this function rule.
y = 10x-3
X
-
0

Answers

Answer:

Step-by-step explanation:

y = 10(- 1) - 3 = - 13

y = 10(0) - 3 = - 3

y = 10(1)  - 3 = 7

y = 10(5) - 3 = 47

Consider the equation 2(ax+3)=4x−3(4x+8). For what value of a is there no solution to the equation?

Answers

Answer:

the value of [tex]a[/tex] such that  there is no solution to the equation is [tex]a = -4[/tex].

Step-by-step explanation:

Let first simplify the expression presented on statement. The equation has no solution if and only if [tex]a[/tex] is eliminated in the process and an absurd is the result (i.e. [tex]0 = 7[/tex]).

[tex]2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)[/tex]

[tex]2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24[/tex]

[tex]2\cdot a \cdot x+6=-8\cdot x-24[/tex]

[tex]2\cdot a\cdot x +8\cdot x = -30[/tex]

[tex]2\cdot (a+4)\cdot x = -30[/tex]

[tex](a+4)\cdot x = -15[/tex]

To obtain an absurd, we need that [tex]a+4 = 0[/tex]. Hence, the value of [tex]a[/tex] such that  there is no solution to the equation is:

[tex]a = -4[/tex]

Let prove the certainty of the result. We find that an absurd exist: ([tex]a = -4[/tex])

[tex]0 = -15[/tex]

Considering the equation  

[tex]\rm 2(ax+3) = 4x - 3(4x+8) \\[/tex]

The equation given above has no solution when  a = -4

On  simplifying the given equation we can find that

[tex]\rm 2(ax + 3) = 4x-3(4x+8)\\2ax + 6 = 4x- 12x-24 \\2ax +6 +24 = -8x \\2ax +30 = -8x \\2ax+8x +30 = 0[/tex]

The equation  has no solution when the equality of both sides does not hold true .

Hence by observation we can say that the equation has no solution when

[tex]\rm 2ax = -8x \\\\2a =-8\\\bold{a =-4} \\[/tex]

So the equation given above has no solution when  a = -4.

For more information please refer to the link given below

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two ratios that are equivalent to 5:2

Answers

Answer:

10:4

45:18

20:8

Step-by-step explanation:

Mr. Francis bought a pair of shoes on sale for 40% off. The regular price was $55, not including tax. How much did Mr. Francis pay for the shoes, not including tax?

A. $77

B. $22

C. $15

D. $33

Answers

Answer:

33

Step-by-step explanation:

333333333333333333333

The answer is 33 :)

Jim changes his passwords every 90 days and cleans out his files every 50 days. If he just did both on the same day, what is the least number of days before he changes them both again on the same day?

Answers

Answer:

450 days

Step-by-step explanation:

i used multiplication

Have a great great day!

Why do most Canadians live near its southern United States border?

Answers

Answer:

Step-by-step explanation:

Which function is the inverse of f(x) = 2x + 3 ?

Answers

Answer:

89

Step-by-step explanation:

the function is the reverse so reverse the problem

Find the slope of each graph. Express the answer in simplest form. Please show what you graph​

Answers

Answer:

Undefined

Step-by-step explanation:

Answer:

Slope is Undefined

Step-by-step explanation:

The slope is undefined because it is just a vertical line.

hope this helps.

Simplify the expression:
(1 + 6g)(3) =

Answers

Answer:

3 + 18g

Step-by-step explanation:

(1+6g)(3)=

Begin by distributing the 3 to each of the terms, I like to re-write it like this before distributing to make sure I remember to multiply all the terms inside the parenthesis.

(3)(1+6g)

3 + 18g

Since we are just simplifying the problem and not solving it, you won't have a number for your answer. It's usually a smaller equation with at least one variable :)

Fast-Food Bills for Drive-Thru Customers A random sample of 49 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $18.90 per car. The population standard deviation is $5.90. Estimate the mean bill for all cars from the drive-thru with 93% confidence. Use a graphing calculator and round the answers to at least two decimal places.

Answers

Answer:

sample mean:: 17.92

ME = z*s/sqrt(n) = 1.8807*6.35/sqrt(47) = 1.7421

------------------------

Step-by-step explanation:

Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and cookies (b) that she should buy? ( a ≥ 0 , b ≥ 0 )

Answers

Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Krystal is comparing two Internet service plans. Plan 1 costs $34.99 per month. Plan 2 costs $134.97 every 3 months. If Krystal plans to stay with one service for 1 year, which should she choose? How much will she save?

Answers

mark as brainlist pls, answer:

She should choose plan 1 because it is cheaper even in the long run.

plan 1: 34.99 x 12 = 419.88

plan 2: 134.97 x 4 = 539.88

-

419.88 < 539.88

Answer:

Work shown below!

Step-by-step explanation:

1 year = 12 months

Plan 1 = $34.99 per month

Plan 2 = $134.97 per 3 months

Plan 1: $34.99(12) = $419.88

Plan 2: $134.97(4) = $539.88

She would save $120 if she chooses Plan 1

The equivalent fraction using the multiplier 2 5/8

Answers

Answer:

21/8

Step-by-step explanation:

The equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).

To find the equivalent fraction using the multiplier 2 5/8, we need to multiply the original fraction by 2 5/8.

Let's assume the original fraction is "a/b".

The equivalent fraction will be:

Equivalent Fraction = (2 5/8) * (a/b)

To simplify this, we first need to convert 2 5/8 to an improper fraction.

To do that, multiply the whole number (2) by the denominator (8) and add the numerator (5) to get the new numerator.

The denominator remains the same:

2 5/8 = (2 * 8 + 5) / 8 = 21/8

Now, the equivalent fraction becomes:

Equivalent Fraction = (21/8) * (a/b)

To find the final equivalent fraction, we can simply multiply the numerators together and the denominators together:

Equivalent Fraction = (21 * a) / (8 * b)

So, the equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).

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Look at image shown simplify expression and write answer without negative exponents please

Answers

Answer:

The expression without a negative exponent will be:

[tex]\frac{8x^{-4}y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{13}}[/tex]        

Step-by-step explanation:

Given the function

[tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]

[tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}=-\frac{8x^{-4}y^{-8}}{2xy^5}\\[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4[/tex]

               [tex]=-\frac{4x^{-4}y^{-8}}{xy^5}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]

                [tex]=-\frac{4y^{-8}}{x^5y^5}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]

  i.e.   [tex]\frac{y^{-8}}{y^5}=\frac{1}{y^{5-\left(-8\right)}}[/tex]

so the expression becomes

    [tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{5-\left(-8\right)}}[/tex]      

                  [tex]=-\frac{4}{x^5y^{13}}[/tex]

Therefore, the expression without a negative exponent will be:

[tex]\frac{8x^{-4}y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{13}}[/tex]        

the 6th term of a GP is 2000. Find its first term if it's common ratio is 10​

Answers

so ar^  = 2000 and you told me r = 10

a(10^5) = 2000

a = 2000/100000 = 1/50

the 6th term of a GP is 2000 is 0.02 then the first term of GP is 0.02

What is a GP(Geometric Progression)?

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Geometric Progression (GP) is a type of sequence in which each succeeding term is produced by multiplying the previous term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

Therefore,

The general form of a GP is a, ar, ar², ar³,...., arⁿ where a is the first term and r is the common ratio.

Given r=10

6th term of a GP = 2000

We know that nth term of a GP = [tex]ar^{n-1}[/tex]

[tex]ar^5[/tex] = 2000

a × ([tex]10^5[/tex]) = 2000

a = 2000/100000

a = 1/50 = 0.02

Therefore, the first term of GP is 0.02

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Find the slope of each line. Write in simplest form.

Answers

Answer:

Slope = -2

Step-by-step explanation:

The line is going down so it is a negative slope

Given that vector u has an initial point of (2,-1 ) and a terminal point of (3, 1) and vector v = (- 6, 7) , find v - u.

Answers

Answer:

v-u = (-7,5)

Step-by-step explanation:

Given

u has an initial point of (2,-1 ) and a terminal point of (3, 1)

And

v = (-6,7)

First of all we have to find the vector u. for this purpose the initial point is subtracted from the termination point.

Let

[tex]P_1 = (2,-1)\\P_2 = (3,1)\\then\\u = P_2-P_1\\= (3,1) - (2,-1)\\= (3-2, 1+1)\\=(1,2)[/tex]

The vector u is (1,2)

Now we have to find v-u

So,

[tex]v-u = (-6,7) - (1,2)\\= (-6-1,7-2)\\=(-7,5)[/tex]

Hence,

v-u = (-7,5)

Answer:

Operations with vectors practice The final score is 3/3 (100%).


1.(2,4)

2.(-7,5)

3.441 mph

Step-by-step explanation:

got them right you’re welcome and have a nice day!

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