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astra-53 [7]
3 years ago
12

Solve for x

D%20" id="TexFormula1" title=" \frac{4x - 6}{4} = \frac{2x + 5}{3} " alt=" \frac{4x - 6}{4} = \frac{2x + 5}{3} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

x = 9.5

Step-by-step explanation:

Given

\frac{4x-6}{4} = \frac{2x+5}{3} ( cross- multiply )

3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides

12x - 18 = 8x + 20 ( subtract 8x from both sides )

4x - 18 = 20 ( add 18 to both sides )

4x = 38 ( divide both sides by 4 )

x = \frac{38}{4} = 9.5

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A company has 10 men qualified to run a machine that requires 3 operators at a time. find how many groups of 3 operators are pos
anzhelika [568]

The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= ^{10} C_{3}

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

Find out more information about number of possible groups or combination here:

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6 0
1 year ago
Implicit diffrention problems I am really stuck on
AysviL [449]

Answer:

\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}

Step-by-step explanation:

solving for dy/dx

multiply the equation out to remove parentheses

x^4 + x^3y = 5xy^2 -y^3

now differentiating in terms of x (\frac{dy}{dx})

4x^3 +3x^2y + x^3(\frac{dy}{dx} ) = 5y^2 + 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )

isolating dy/dx to one side

4x^3 +3x^2y - 5y^2= 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )-x^3(\frac{dy}{dx} )

4x^3 +3x^2y - 5y^2= \frac{dy}{dx}(10xy-3y^2-x^3)

\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}

5 0
3 years ago
Help with this please
Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}

KL=\frac{1-4}{3-1}=\frac{-3}{2}

LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}

JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

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Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0
4 years ago
Solve for z.<br> az - 17 = -4z-b
Bingel [31]

Answer:

z = (-b + 17)/(a+4)

Step-by-step explanation:

If in terms of a and b, then

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8 0
4 years ago
NEED ANSWER ASAP!!! Do the data in this table show a function? If you switch the input and the output values is it a function?
ser-zykov [4K]

Answer:

no

Step-by-step explanation:

no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless

4 0
3 years ago
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