All categories

8 days ago

G = x-c/x solve for x

Mathematics

2 answers:

tester [8.8K]8 days ago

6 0

Response:

The value we are looking for is $x=\frac{-c}{g-1}$ or $x=\frac{c}{1-g}$

Step-by-step guide:

Examine the given equation.

Our goal is to isolate x in the equation.

$g =\frac{x-c}{x}$

Multiply both sides by x.

$gx =x-c$

Subtract x from each side.

$gx-x=-c$

$x(g-1)=-c$

Now, divide each side by g-1.

$\frac{x(g-1)}{g-1}=\frac{-c}{g-1}$

$x=\frac{-c}{g-1}$ or $x=\frac{c}{1-g}$

Therefore, the necessary value is $x=\frac{-c}{g-1}$ or $x=\frac{c}{1-g}$

lawyer [9.2K]8 days ago

5 0

Solution:

x= $\frac{c}{1-g}$

Detailed breakdown:

Step 1: Begin by multiplying every term by x,

gx=−c+x

Step 2: Subtract x from both sides.

gx−x=−c+x−x

gx−x=−c

Step 3: Isolate x by factoring it out.

x(g−1)=−c

Step 4: Split both sides by g-1.

$\frac{x(g-1)}{g-1} =\frac{-c}{g-1\\}$

x= $\frac{c}{1-g}$

Hope this is helpful!

You might be interested in

Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.

lawyer [9226]

Answer:

The regression line is not an appropriate model due to the existence of a pattern in the residual plot.

Step-by-step explanation:

A residual plot has been provided for a certain data set.

The residual plot indicates a scatter relationship between x and y.

The plotted points demonstrate that a linear relation is unlikely; it appears to be more parabolic or exponential in nature.

This suggests the regression line is not a suitable model as the residuals do not converge towards 0.

Additionally, a linear trend pattern is absent.

D) The regression line is not a suitable model as it exhibits a pattern in the residual plot.

3 0

5 days ago

The heights of 200 adults were recorded and divided into two categories.

AnnZ [9071]

The response is A

I hope this information is useful.

8 0

29 days ago

Read 2 more answers

Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x

zzz [9066]

Answer:

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Step-by-step explanation:

In order to simplify the expression $\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }$ where x ≠ 0, y ≠ 0, we must work through the given expression.

$\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\$

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

6 0

29 days ago

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

Svet_ta [9486]

Answer:

(1) The necessary proportion of spirit to varnish stands at 1:3.

(2) A total of 80 ml of mineral spirit is required.

(3) The ratio of the heights to the widths of the tapestries is 3:2.

Step-by-step explanation:

(1) To achieve a mixture containing 25% mineral spirit, the blend consists of 25% spirit and 75% varnish.

Therefore, $\frac{spirit}{varnish}=\frac{25}{75}$

$=\frac{1}{3}$

Consequently, the proportion of spirit to varnish is 1:3.

(2) Using 240ml of varnish indicates this is 75% of the entire solution, which means the ratio of varnish to the total solution is 3:4.

Let the total solution quantity be $x$ .

Thus, $240:x=3:4$ .

⇒ $\frac{240}{x}=\frac{3}{4}$

⇒ $3x=240*4$

⇒ $x=\frac{240*4}{3}$

⇒ $x=320$

This means the total solution amounts to 320 ml.

Now, calculating Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Therefore, when using 240 ml of varnish, you will require 80 ml of mineral spirit.

(3) The dimensions of Robison's tapestries are uniform at 1.5m in length and 1m in width. Initially, to obtain whole numbers, we multiply these dimensions by 10.

Thus, the dimensions become 15m long and 10m wide.

Now, the proportion of Height to Width is 15:10

⇒ $\frac{Height}{Width} =\frac{15}{10}$

⇒ $\frac{Height}{Width} =\frac{3}{2}$

Thus, the proportion of the heights of the tapestries to their widths is 3:2.

8 0

1 day ago

In 2011, the world's largest pumpkin weighed 825 kilograms. An average-sized pumpkin weighs 5,000 grams. The 2011 world-record p

Leona [9260]

1000 g = 1 kg
5,000 g = 5 kg
825 kg - 5 kg = 820 kg

<span>The pumpkin that set the world record in 2011 weighs __820 kg___ more than an average pumpkin.</span>

6 0

21 day ago