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Olenka [21]
3 years ago
11

What is the value of x in the equation 2(x-3)+9=3(x+1)+x?

Mathematics
2 answers:
Sergio039 [100]3 years ago
5 0

Answer:

Step-by-step explanation:

TEA [102]3 years ago
3 0

Answer:

x=0

Step-by-step explanation:

2(x-3)+9=3(x+1)+x

2x-6+9=3x+1+x    You first distribute on both sides

2x+3=4x+1           Then you add

2=2x                     Subtract

X=0                      Then you're done!

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Solve for x. 5(22−x)=40 Enter your answer in the box. x =
kow [346]

Answer:

x = 14

Step-by-step explanation:

5(22-x)=40

5(22-14)=40

5(22)=110   5(-14)=-70

110-70=40

6 0
3 years ago
Read 2 more answers
A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of
Tatiana [17]

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

Mathematically Cosine theta = adjacent/hypotenuse

Thus, Cos theta = 20/45

Cos theta = 0.444444444444444

Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

8 0
3 years ago
A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5
kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0
4 years ago
Solve the following quadratic equation 6x2 – 7x = 20
siniylev [52]

Answer:

<h2>x = 5/2 , x = - 4/3</h2>

Step-by-step explanation:

6x² - 7x - 20 = 0

Using method of factorization

Rewrite - 7x as a difference

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6x² + 8x - 15x - 20 = 0

Factor the expression

That's

2x( 3x + 4) - 5( 3x + 4) = 0

Which is

(2x - 5) (3x + 4) = 0

2x - 5 = 0

2x = 5

Divide both sides by 2

x = 5/2

3x + 4 = 0

3x = - 4

Divide both sides by 3

x = -4/3

Hope this helps you

5 0
3 years ago
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Translate to an expression. How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked
ehidna [41]

Answer:

10*h+3*2*10

Step-by-step explanation:

4 0
4 years ago
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