JN = 18, JL = 30, KM = 36, find ML.<br> a. 21<br> b. 22<br> c. 23<br> d. 24

ˣ⁺⁶⁄ₓ = ¼<br><br> Can someone explain to me how to solve this?

mario62 [17]

The solution to the given equation is x = -8

<h3>Solving Linear Equations</h3>

From the question, we are to determine value of x in the given equation

The given equation is

(x + 6)/x = 1/4

To solve the given equation, we would solve for the unknown variable x

(x + 6)/x = 1/4

First, multiply both sides of the equation by x

x + 6 = x × 1/4

x + 6 = x/4

Now, multiply both sides of the equation by 4

4(x + 6) = 4 × x/4

4x + 24 = x

Now, subtract x from both sides of the equation

4x - x + 24 = x - x

3x + 24 = 0

Subtract 24 from both sides of the equation

3x + 24 - 24 = 0 - 24

3x + 0 = -24

3x = -24

Divide both sides of the of the equation by 3

3x/3 = -24/3

x = -8

Hence, the solution to the given equation is x = -8

Learn more on Solving Linear Equations here: brainly.com/question/85186

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4 0

1 year ago

· Arun has x toffees. His sister Arunima has 5 toffees more than Arun. How many

olga55 [171]

Answer:

If the variable is x, then they have x + 5 toffees altogether.

Step-by-step explanation:

There is no way to find x as it is an unknown number. "5 more than" simply means that you add 5 to x.

4 0

2 years ago

Find the distance between the points (-4,5), (-12,5)

posledela

Answer:

d = 8

Step-by-step explanation:

For:

(X1, Y1) = (-4, 5)

(X2, Y2) = (-12, 5)

Distance Equation Solution:

d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√

d=(−8)2+(0)2−−−−−−−−−−√

d=64+0−−−−−√

d=6–√4

d=8

Therefore, the distance between (-4,5), (-12,5) is 8.

5 0

2 years ago

A community theater uses the function p (d) = (-4d+40) (d−40) to model the profit (in dollars) expected in a weekend when the ti

fomenos

The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.

<h3>What is differentiation?</h3>

The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.

A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.

Then the maximum profit of the theatre will be

The function is P(d) = (− 4d + 40) (d − 40)

Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= 0\\\\\dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) &= 0\\\\(-4d+40) -4 (d-40) &= 0\\\\-8d + 200 &= 0\\\\d &= 25 \end{aligned}$

Then the checking for maximum or minimum, again differentiate, we have

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(-8d + 200) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= -8\\\\ \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) & < 0\end{aligned}$

The value is less than zero hence maximum value will occur at d = 25.

Then maximum profit will be

P(d) = (− 4×25 + 40) (25 − 40)

P(d) = (− 100 + 40) (−15)

P(d) = (− 60) (− 15)

P(d) = $ 900

More about the differentiation link is given below.

brainly.com/question/24062595

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7 0

2 years ago

how much is 14.28571428571428571428571428571 in numbers that don't contain decimals ( this doesnt have anythinng to do with scho

Slav-nsk [51]

It rounds to 14.3 which is 14 lol

5 0

3 years ago

JN = 18, JL = 30, KM = 36, find ML. a. 21 b. 22 c. 23 d. 24