make x the subject of the formula

show your working.

Make X The Subject Of The Formulashow Your Working.

Answers

Answer 1

Answer:

[tex]x = \frac{3y-4}{y-1}[/tex]

Step-by-step explanation:

y(x-3) = (x-4)

yx -3y = (x-4)

yx - x = 3y -4

x(y-1)= 3y -4

[tex]x = \frac{3y-4}{y-1}[/tex]


Related Questions

What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.

Answers

Answer:

B

Step-by-step explanation:

The slope is zero is the answer

Alex cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?

Answers

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

What is the constant of variation?



What is the equation representing the direct variation?

Answers

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation of direct variation is given by,

y = kx   ....(i)    where "k" is a constant.

Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Given that y varies directly with x, and x = 27, then y = 3.

Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:

⇒ 3 = 27k

⇒ k = 3/27

⇒ k = 1/9

Substitute the values of k = 1/9 in the direct variation equation :

⇒ y = (1/9)x

Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

Learn more about the equations here:

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If 4x + 2y = 14 and x - 2y = 6, what is the value of y?

Answers

Answer:

y is -1

Step-by-step explanation:

[tex]4x + 2y = 14 - - - (a) \\ x - 2y = 6 - - - (b)[/tex]

(a) + (b):

[tex]5x = 20 \\ x = 4[/tex]

therefore:

[tex]x - 2y = 6 \\ 4 - 2y = 6 \\ 2y = - 2 \\ y = - 1[/tex]

Answer:

y must be -1

Step-by-step explanation:

We are given the system of linear equations

4x + 2y = 14

 x - 2y = 6

and need to find the value of y.  Combining the two equations yields

5x = 20, and so we know that x must be 4.

If x is 4, then the second equation becomes 4 - 2y = 6, or -2y = 2.

Then y must be -1.

You have ​$95 in your bank account. Each week you plan to deposit ​$9 from your allowance and ​$10 from your paycheck. The equation b​=95+(10+9​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$220 in your bank​ account?

There will be ​$220 in the account after ___ weeks

Answers

Answer:

7 weeks

Step-by-step explanation:

b​=95+(10+9​)w

Combine like terms

b​=95+(19​)w

Let b = 220

220 = 95 + 19w

Subtract 95 from each side

220-95 = 19w

125 = 19w

Divide each side by 19

125/19 = w

6.578947368

Round up

After 7 week

Which number is in the middle of -7 and 15?

Answers

Answer:

the answer os eleven

Step-by-step explanation:

As oyu see the half way number is 4 higher that 7 and 4 lower than 15.

Will Mark Brainlest Help pls​

Answers

Answer:

Hello,

[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]

The volume of this cube is 2.744 cubic meters. What is the value of t?

Answers

Answer:

t = 1.4 meters

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

2.744 = t^3

Take the cube root of each side

(2.744) ^ 1/3 = t^3 ^ 1/3

1.4 = t

The student council needs to make a banner for the seventh-grade dance. The dance committee decides that the length of the banner will be 16 feet. What are the possible widths of the banner if the students can use no more than 40 square feet of material? Find the solution set of the inequality 16w ≤ 40 to solve the problem.

A rectangle with a length of 16 feet and width of w.

What are the possible widths of the banner if the students can use no more than 40 square feet of material?
at most 2.5 ft wide
less than 2.5 ft wide
at least 0.4 ft wide
no more than 0.4 ft wide

Answers

Answer:  Choice A) at most 2.5 ft wide

Work Shown:

16w ≤ 40

w ≤ 40/16

w ≤ 2.5

This says that the banner must be at most 2.5 ft wide (choice A)

In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.

Answer: its a

Step-by-step explanation:

brainly stop taking my answer down pls

please help me T-T.......

Answers

Hi

1) f(x)= 0.9 x

2) g(x) = x-100

3) f °g. is first apply g then f. so :

f°g = 0.9 ( x-100) = 0.9x-90

4) g°f. is first apply f then g

so g°f = (0.9x) -100 = 0.9x-100

I let you conclude which is the best deal :)

I need a written response to solve all 4 steps

a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.​

Answers

Answer:

a. -2

b. s = 2 and y = -5

c. (2.5, -9)

d. -7x - 2

Step-by-step explanation:

a. In the image, I have used rise over run, which is -8/4 or -2.

b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.

c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).

d. y = mx + b

   5 = (-7)(-1) + b

   5 = 7 + b

   -2 = b

y = -7x - 2  

Help ASAP
√3 (5 + √2)

Answers

Answer:

5*sqrt(3)+sqrt(6)

Step-by-step explanation:

sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)

Answer:

(5 x sqrt(3)) + sqrt(6)

Brainliest, please! (Almost an Ace!)

Step-by-step explanation:

Distribute the sqrt(3) through and get:

(5 x sqrt(3)) + (sqrt(3) x sqrt(2))

Next, we simplify.

(5 x sqrt(3)) + sqrt(6)

It's algebra I need help with 6-8/(-4) if you could please put the order of operations down to that would be so helpful.[tex]6-8/(-4)[/tex]
NO LINKS

Answers

Answer:

Step-by-step explanation:

Do the subtraction in the numerator first. 6 - 8 = -2. So now we have

[tex]\frac{-2}{-4}[/tex]  negative divided by a negative is a positive and that fraction reduces to

[tex]\frac{1}{2}[/tex]

BRAINLEST IF CORRECT

Answers

Answer:

422.39

Step-by-step explanation:

[tex]A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39[/tex]

use a calculator for the above and round

How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4​

Answers

Answer:

OB

Step-by-step explanation:

start counting from 1

Then your significant digit is 6

* if my savings of $x grows 10% each year how much money would i have in 1 year

I WILL MARK BRAINLIEST

Answers

Answer:

10/100*$x

Step-by-step explanation:

You will multiply the $x by 10%

help pls and thank you :)

Answers

Answer: x+2y+6=0

Option 3

Explanation:

y = (-x-6)/2

2y = -x-6

x+2y+6=0

Must click thanks and mark brainliest

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

Answer:

55%

Step-by-step explanation:

55%
You just move the decimal over two places.

6. Solve for x!! please help!

Answers

x/2 = -7

=> x = -7 × 2

=> x = -14

Answer:

x=-14

Step-by-step explanation:

[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]

this math question is about logarithm​

Answers

Answer:

(k+2h)/(k+h)

Step-by-step explanation:

log 6 12 = (log a 12)/(log a 6) ( Log base change property)

log a 12 = log a (3*4) = log a 3 + 2*log a 2 = k+2h

log a 6 = log a (2*3) = log a 3 + log a 2 = k+h

log 6 12 = (k+2h)/(k+h)

For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)
a. Determine the coefficient of x^3.
b. Determine the coefficient of x^6.
c. Determine the constant of the term
polynomial.
d. Determine the degree of the polynomial.

Answers

Answer:

Hello,

Step-by-step explanation:

[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]

Look at this graph:
100
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60 70 80 90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

See pic below.

slope = 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 720° 1,080°

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.

What is a regular hexagon?

The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.

The external angle of the regular hexagon will be given as,

External angle = 360° / 6

External angle = 60°

Then the sum of the measures of the exterior angles of a convex hexagon will be

⇒ 60° x 6

⇒ 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°.

Then the correct option is A.

More about the regular hexagon link is given below.

https://brainly.com/question/1694257

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Express the following in the radian measure 240degree
, -315degree
, 570degree

Answers

240°= 4π/3 radians
-315°= -7π/4 radians
570°=19π/6 radians

2. For all real numbers x and y, (2x + 3y)² = ?

Answers

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 2x   ;  b = 3y

(2x)²= 2x * 2x = 4x²

(3y)²  =3y * 3y = 9y²

(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²

              = 4x² + 12xy + 9y²

Insert seven rational numbers between 2 and 3.​

Answers

Answer:

5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8

Step-by-step explanation:

Answer:

2/1

2.5

2whole number6/4

10. A local park is located on a triangular piece of land. What is the area of the park to the nearest tenth? (1 point) S 75 m 40° R 150 m T Area = m2​

Answers

Answer:

Area equals to 3615.7

Step-by-step explanation:

So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.

In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.

Next using the law of sines, and plot the numbers in:

a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907

Now calculat the area;

Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765

I attached a graph below that may help to see will all the things go

Can someone find this for me please?

Answers

Answer:

the larger one is 183

Step-by-step explanation:

[tex]x + y = 262 \\ x - y = 104 \\ y = 262 - x \\ x - (262 - x) = 104 \\ x - 262 + x = 104 \\ 2x = 104 + 262 \\ 2x = 366 \\ x = 183 \\ y = 262 - 183 \\ y = 79[/tex]

If tanx+cotx=2 then Cosx =?​

Answers

Answer:

sqrt(2)/2

Step-by-step explanation:

tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.

Pleaseeeee help!!!!!!!!

Answers

Answer:

30

Step-by-step explanation:

The total number of people is

5+6+4+7+5+3 = 30 people

Answer:

30

Step-by-step explanation:

pizza:5+7=12

Burger:6+5=11

Other:4+3=7

Total:12+11+7=30

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