4/2n+5/3c=1
Solve for c.

-Multiply both sides by (blank) to clear fractions.

Answers

Answer 1

Answer:

We conclude that:

[tex]c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{4}{2n}+\frac{5}{3c}=1[/tex]

Let us solve for 'c'

[tex]\frac{4}{2n}+\frac{5}{3c}=1[/tex]

Least Common Multiplier of 2n, 3c:   6nc

Now multiply both sides by LCM = 6nc

[tex]\frac{4}{2n}\cdot \:6nc+\frac{5}{3c}\cdot \:6nc=1\cdot \:6nc[/tex]

Simplify

[tex]12c+10n=6nc[/tex]

Subtract 10n from both sides

[tex]12c+10n-10n=6nc-10n[/tex]

Simplify

[tex]12c=6nc-10n[/tex]

Subtract 6nc from both sides

[tex]12c-6nc=6nc-10n-6nc[/tex]

Simplify

[tex]12c-6nc=-10n[/tex]

Factor 12c - 6nc = 6c(2-n)

[tex]6c\left(2-n\right)=-10n[/tex]

Divide both sides by 6(2-n);  n≠2

[tex]\frac{6c\left(2-n\right)}{6\left(2-n\right)}=\frac{-10n}{6\left(2-n\right)};\quad \:n\ne \:2[/tex]

simplify

[tex]c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2[/tex]

Therefore, we conclude that:

[tex]c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2[/tex]


Related Questions

This relation is an inverse variation. {(–1, 8), (4, –2), (–2, 4)} Which equation represents this relation?

Answers

Answer:

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

Step-by-step explanation:

Given

Inverse Variation:

[tex]Points: \{(-1, 8), (4, -2), (-2, 4)\}[/tex]

Required

Determine the equation of the relation

An inverse relation is represented as:

[tex]y = \frac{k}{x}[/tex]

Where k = constant of variation

Make k the subject:

[tex]k = xy[/tex]

When x = -1, y = 8

So, we have:

[tex]k = -1 * 8[/tex]

[tex]k = -8[/tex]

When x = 4, y = -2

[tex]k = 4 * -2[/tex]

[tex]k = -8[/tex]

When x = -2, y = 4

[tex]k= -2 * 4[/tex]

[tex]k = -8[/tex]

From above calculations, we've established that:

[tex]k = -8[/tex]

Substitute -8 for k in [tex]y = \frac{k}{x}[/tex]

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

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

Hence, the equation is:

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

Please Help I need this
A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table.

A 4-column table with 3 rows. The first column has no label with entries Spanish, not Spanish, total. The second column is labeled French with entries 5, 30, 35. The third column is labeled not French with entries 63, 2, 65. The fourth column is labeled total with entries 68, 32, 100.

Which statements are correct? Check all that apply.

5 students study both French and Spanish.
63 students study French.
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
63 students study Spanish.

Answers

Answer:

add them up

Step-by-step explanation:

Use the linear combination method to solve the system of equations. Explain each step of your solution.
5x - y -= 3
x + 2y = 5

Answers

Answer:

1)y=-3+5x

2)y=5/2-1/2x

Step-by-step explanation:

for both equations

1) get your y by it self (subtract -5x and your new equation is now -y=-5x+3)

2)(reminder y can't be negative if it is negative) then you divide by -1 of both sides

3) your equation should now be y=5x-3

The first right answer gets brainlyist. Thanks

Answers

This is because “trig” solves for the missing angles in a right angled triangle and does not solve for the sides of a right angle triangle.

Hope this helps :)

A
Which transformation would create a new triangle that
is not congruent to the given triangle?

Answers

Hdjdklsoeloeleorjfjfnifk

what does 3 1/2 + 3 3/4 + 5 1/2 equal to

Answers

3 1/2 + 3 3/4 + 5 1/2 = 12.75 or 12 3/4
3 1/2 + 3 3/4 + 5 1/2 will equal to 9 3/4

What is the slope of this graph?

Answers

Rise

Run

Rise = 3

Run = 6

1

2

anyone help? please!!

Answers

Answer:

$4,502.04 i could be wrong though good luck!

Step-by-step explanation:

Answer:

its 480

Step-by-step explanation:

Plot and label one point that is not a solution
(3,-1) (-3,-3)

Answers

always plot the y intercept first

Carter has a piece of leather measuring 9/10 feet long he needs to cut the leather into pieces measuring 1/5 for each how many pieces will he have

Answers

Answer:

first make 1/5 into 2/10 it will help

Step-by-step explanation:

There are 130 people in a sport centre.
76 people use the gym.
60 people use the swimming pool.
32 people use the track.
23 people use the gym and the pool.
8 people use the pool and the track.
20 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

67 PEOPLE I THINK

Step-by-step explanation:

how to solve [tex]f(-x) = 7(-x)^2- 1 / (-x)^2[/tex]

Answers

Answer:

f(-x) = 7x^2 - 1/x^2

Step-by-step explanation:

Answer:

f(-x) = 7x^2 - 1/x^2

Step-by-step explanation:

i got the same

R is less than or equal to -9

Answers

R<_-9

Hope this helps

what is the area i need help

Answers

Answer:

the formula of a trapezoid is

H(a+b/2)

A= side 1 (usually the two parallel sides, choose one)

b= side 2 (same thing as A but the second line)

The h is height

So we fot 10 and 9

10+9=19

19/2=9.5

9.5*6

57

the Area is 57

Also you drew it wrong (look at image)

the area is 57 i believe i’m not to sure though

BRAINLIEST AND 50 POINTS

Answers

Step-by-step explanation:

$9.6 for 20 shirts

$19.2 for 40 shirts

$28.8 for 60 shirts

expression : $ 4.8 * n

1000/4.8 = just do calculation and write answer

Answer:

20 96

40 192

60 288

b. 4.80 times n = cost

c. 208

Step-by-step explanation:

PLEASE HELP DO NOT WASTE ANSWERS URGENT WILL MARK BRAINLIEST

Answers

Answer:

B) U should use slader they have all the answers to any textbook

PLZ HELP ME I DONT UNDERSTAND

Answers

Answer:

7.5

Step-by-step explanation:

1. Jan spends part of her year as a member of a
gym. She then finds a better deal at another
gym, so she cancels her membership with the
first gym and spends the rest of the year with
the second gym. The membership to the first
gym costs $80 per month, while the
membership for the second gym costs $45 per
month. If she ends up spending a total of $645
over the course of the year, how much time did
she spend at each gym?

Answers

Answer:

13 months in a half......


Camron can run 2/3 of a mile in 1/10 of an hour. How far can he run in 1 hour?

Answers

Answer:

20/3 or 6 2/3 miles.

Step-by-step explanation:

 2/3 times 10

What is e area of the arrow?

A.61
B.52
C.40
D.17

Answers

The correct answer is A=61

Candice wants to buy a sweatshirt that costs $38. She also wants some T-shirts tha
are on sale for $16 each. She has $150 to spend.What’s a inequality?

Answers

Answer:

19/1200

Step-by-step explanation:

Find the area of the triangle.
C = 133.5°, a = 45.7 ft and b = 37.1 ft
The area is
square ft.
(Simplify your answer. Type an integer or a decimal. Roun

Answers

Answer:

i think the answer is area = 1695.47 ft squared

Step-by-step explanation:

just do 45.7 x 37.1 since you’re finding area of a SQUARE which has all equal sides.

Help me with this pls

Answers

Answer:

diameter=18 radius=9

Step-by-step explanation:

diameter is already given

Answer:

Radius 9 Diameter 18

Step-by-step explanation:

radius is the half of the circle

what must be the value of a and b for PQRS to be a parallelogram? ​

Answers

Answer:

a = 2

b = 4

Step-by-step explanation:

In parallelogram opposite sides are equal.

4a +  b  = 2a + 8

4a - 2a + b = 8

      2a + b = 8 -----------------(I)

             b = 8 - 2a

11b - 10a = 6b

11b - 6b -10a = 0

5b - 10a = 0 ---------(II)

Substitute b = 8 - 2a  in equation (II)

5*(8-2a) - 10a = 0

5*8 - 2a * 5 - 10a = 0

     40 - 10a - 10a = 0

      40 - 20a       = 0

                  -20a = - 40

                       a = -40/-20

                      a = 2

Plugin a = 2 in equation (I)

2*2 + b = 8

4 + b   = 8

       b = 8 -4

      b = 4

How many solutions does this equation have?
3x - 2(x + 4) = 5x - 8 + 4x
А
Two solutions
B
Infinitely many solutions
No solution
he
One solution

Answers

6x 34 because you have to divide and then multi

which two whole number is 15/4 between? LOOK AT PICTURE

Answers

3 and 4 hope this helps :)
15/4= 3 so 3 and 4 would be the closest.

MATH HELP!! ASAP!! BRAINLIESTT!!

Answers

Answer: the equation of this parallel line would be: Answer:  y = 5x - 6

Step-by-step explanation:

Slope of the parallel lines are same

So, m= 5

(3,9)

Equation: y - y1 = m(x -x1)

y - 9 = 5(x - 3)

y - 9 = 5x - 3*5

y -9 = 5x -15          {add 9 to both sides}

y - 9 + 9 = 5x - 15 + 9

y = 5x - 6

 plz brainliest

Select the correct answer.
What are the the values of x and y that satisfy this equation?
(x + yi) + (4+9i) = 9-4i

Answers

Answer: Option A; x = 5, y = -13

Step-by-step explanation:

We have the equation:

(x + yi) + (4+9i) = 9-4i

Solving the left side we have:

x + y*i + 4 + 9*i = 9 - 4*i

(x + 4) + (y + 9)*i = 9 - 4*i

The real part is x + 4, and this must be equal to the real part in the right that is 9, then:

x + 4 = 9

x = 9 - 4 = 5

x = 5

And the imaginary part in the left needs to be equal to the imaginary part in the right, then:

y + 9 = -4

y = -4 - 9 = -13

y = -13

then the solution is x = 5, y = -13

The correct option is A

Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.

Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.

What type of figure is quadrilateral FXYH?

kite
rhombus
trapezoid
parallelogram

Answers

Answer:

the correct answer is c) trapezoid

Step-by-step explanation:

got it right on edge quiz

Answer:

C

Step-by-step explanation:

It’s cost $15 to send 3 packages through a certain shipping company. Consider the number of packages per dollar.
A. Find the constant of proportionality for this situation.
B. Write an equation to represent the relationship.

Answers

I think it is B not so sure but yea i think B sorry if I'm wrong

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