1/3x = 5 - 1/3x what is the solution of this equation?

Answer:

198.5 cm²

Step-by-step explanation:

From the figure above we can treat the two semi circles as 1 circle.

Now, the diameter is 10 cm

Thus;

Radius; r = 10/2

r = 5cm

Now, formula for area of a circle is;

A = πr²

Thus;

Area of 2 semi circles = Area of 1 circle = π × 5²

A_circle = 78.54 ≈ 78.5 cm²

When we take out the 2 semi circles, what we have left is a rectangle.

Now, the length of the rectangle will be;

Length; L = 22 - 5 - 5 = 12 cm

*This is because the radius of the semi circle is 5 and distance from the edge of the 22 cm length to the centre of the semi circle is 5 cm

Thus, area of rectangle is given by;

A_rect = LW

W in the image is 10 cm

Thus;

A_rect = 12 × 10

Total area of shape is;

A_total = 120 + 78.5

A_total = 198.5 cm²

Answer:

x = fiction books

3x = nonfiction books

x + 3x = 2000

After you solve for x, (which is the number of fiction books), you can plug its value into the equation for nonfiction books (3x) and that will give you the number of non fiction books.

Step-by-step explanation:

Hope this helps! <3

Answer:

x>-1/4

Step-by-step explanation:

9x+3-5x>2

9x-5x+3>2

4x+3>2

4x>-1

x>-1/4

Therefore, x>-1/4

Answer:

5/-3

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

m = (8 - 3)/(-7 + 4)

m = 5/-3

9514 1404 393

Answer:

  $129,992

Step-by-step explanation:

The sum of a geometric series is given by ...

  Sn = a1·(r^n -1)/(r -1)

Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...

  S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992

The total earned over 5 years was $129,992.

___

A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.

Answer:

The value of x = 14/3

Step-by-step explanation:

Given the equation

[tex]3x-5 = 9[/tex]

Add 5 to both sides

[tex]3x-5+5=9+5[/tex]

Simplify

[tex]3x=14[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{14}{3}[/tex]

Simplify

[tex]x=\frac{14}{3}[/tex]

Therefore, the value of x = 14/3

Note: It seems you may have missed entering the correct answer choice as the value of x = 14/3 is not mentioned in your answer choices.

Answer:

[tex]y = 5(6) {}^{x} [/tex]

Step-by-step explanation:

A exponential function is represented by

[tex]y = ab {}^{x} [/tex]

where a is the vertical stretch and b is the base and x is the nth

power of x

Since the first number corresponds with zero, that means our y intercept is the first number.

This means when x=0 , y=5 so let find the value of 5.

[tex]5 = ab {}^{0} [/tex]

b to the 0th power equal 1 so

[tex]5 = a \times 1[/tex]

[tex]a = 5[/tex]

Our equation is for now

[tex]y = 5b {}^{x} [/tex]

Now let plug in 1,30

[tex]30 = 5b {}^{1} [/tex]

Divide 5 by both sides

[tex]6 = b {}^{1} [/tex]

Anything to the 1st power is itself so b equal 6.

So our equation is

[tex]y = 5(6) {}^{x} [/tex]

Answer:

1) 9(x - 3) = 9x - 27. So, 1) applies.

2) 3(3x - 9) = 9x - 27. So, 2) applies.

3) x(9x - 3) = 9[tex]x^{2}[/tex] - 3x. So, 3) dosn't apply.

4) 3(3x - 7) = 9x - 21. S0, 4) dosn't apply.

5) 3(x - 9) = 3x - 27. So, 5) also dosn't apply.

Step-by-step explanation:

1) 9(x - 3) = 9x - 27. So, 1) applies.

2) 3(3x - 9) = 9x - 27. So, 2) applies.

3) x(9x - 3) = 9[tex]x^{2}[/tex] - 3x. So, 3) dosn't apply.

4) 3(3x - 7) = 9x - 21. S0, 4) dosn't apply.

5) 3(x - 9) = 3x - 27. So, 5) also dosn't apply.

The expressions that are equivalent to 9x - 27 are:

9(x - 3)

3(3x - 9)

To determine which expressions are equivalent to 9x - 27, let's simplify each of the given options:

9(x - 3):

Expanding the expression, we get 9x - 27.

This expression is equivalent to 9x - 27.

3(3x - 9):

Expanding the expression, we get 9x - 27.

This expression is equivalent to 9x - 27.

x(9x - 3):

Expanding the expression, we get 9x² - 3x.

This expression is NOT equivalent to 9x - 27.

3(3x - 7):

Expanding the expression, we get 9x - 21.

This expression is NOT equivalent to 9x - 27.

3(x - 9):

Expanding the expression, we get 3x - 27.

This expression is NOT equivalent to 9x - 27.

Therefore, the expressions that are equivalent to 9x - 27 are:

9(x - 3)

3(3x - 9)

So, the correct options are 1 and 2.

Learn more about expressions click;

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Answer:

907.46

Step-by-step explanation:

Area = pi x radius^2

17^2 = 289

289 x 3.14 = 907.46

Hope this helps. Pls give brainliest.

Answer:

Area = 907.92 square yards

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A=\pi 17^2[/tex]

[tex]A=907.92[/tex]

Brainly plz :))

Answer: 99

Step-by-step explanation:

10x-9=9x

-9=-x

x=9

angle 7 = 9*(9)=81

angle 6 = 180-81= 99

NOTE: DO NOT hit 90 because I did that and got it wrong. Just a heads up. Get luck!

Answer: a=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

a−2+3=−2

a+−2+3=−2

(a)+(−2+3)=−2(Combine Like Terms)

a+1=−2

a+1=−2

Step 2: Subtract 1 from both sides.

a+1−1=−2−1

a=−3

Answer:

a=-1

Step-by-step explanation:

move -2 and 3 to the right side to have the variable by itself and then just add them together.

a = -2+3-2

a= -4+3

a= -1

Answer:

hello! :) have a good day!

3.1z + 6 - 2.1z = z+6

Answer:

The answer is 6.37.

Step-by-step explanation:

Please pick me as brainlest answer

Answer:

6.37

Step-by-step explanation:

11.26 - 4.89 = 6.37

Hope this help ;)

Answer:

-36=t

Step-by-step explanation:

if u add eight to both sides u get t/-2 = 18, then all you have to do is multiply both sides by -2, then u get t=-36

Answer:

no not really

Step-by-step explanation:

i lowkey suck at graphs and charts, sorry :(

Not exactly sure lol

Answer:

92 ...... .......... ..........

Answer:

348 square units

Step-by-step explanation:

Let's find the area of the front, the bottom and the end:

(9)(6) + (9)(8) + (6)(8) = 54 + 72 + 48 = 174 square units

Since there are two of each of these areas, double 174 to obtain 348 square units

Answer:

y+1 1/4=3 3/4 or y.1 1/4=3 3/4

Step-by-step explanation:

Answer:

x = [tex]-\frac{3}{8}[/tex]

Step-by-step explanation:

Answer:

your answer is -3/8 or in decimal form its -0.375

Step-by-step explanation:

The radius of the button will be 14 millimetres.

The radius of the circler is defined as the distance from the centre of the circle to the outermost surface of the circle. The diameter of the circle is the distance between the two points on the surface of a circle passing through the centre of the circle.

Given that the diameter of the circle is 28 millimetres. the radius of the circle is calculated as,

Radius = Diameter / 2

Radius = 24 / 2

Radius = 12 millimetres

Therefore, the radius of the button will be 14 millimetres.

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Answer:

now what

Step-by-step explanation:

Answer:

The graph of g is a vertical stretch of the graph of f.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: 916. Because if you do 856+60=916.

Step-by-step explanation: The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. Formula: and natural statistics x and x2. The dual expectation parameters for normal distribution are η1 = μ and η2 = μ2 + σ2.

Answer:

4 12/18, simplified is 4 6/9

Step-by-step explanation:

You change the fractions to improper fractions so 10 1/2 to 21/2 and 2 1/4 to 9/4. Since we can't divide, we change 9/4 to 4/9 and multiply. 21 times 4 is 84 and 2 times 9  is 18.  Since that is an improper fraction, we have to change it to a mixed number. 18 can go into 84 4 times, and 18 x 4 is 72. 84 minus 72 is 12 so the final answer is 4 12/18 (simplified 4 6/9)

Hope this helps :)

Answer:

No of these answers has a slope of  [tex]\frac{-3}{5}[/tex] . My guess is B becasue its close to [tex]\frac{-3}{5}[/tex] unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

([tex]x_{1}[/tex],[tex]y_{1}[/tex]), ([tex]x_{2}[/tex],[tex]y_{2}[/tex])

(4, 0), (-2, 10)   [tex]\frac{10 - 0 }{-2 - 4 }= \frac{10}{6}[/tex] you have to simplfy, the answer will be [tex]\frac{5}{3}[/tex]

(10, -2), (0, 4)  [tex]\frac{4 - -2 }{0- 10 }= \frac{6}{-10}[/tex] you have to simplfy, the answer will be [tex]\frac{3}{-5}[/tex]

 (4, 2), (10, 4)  [tex]\frac{4 - 2 }{10 - 4 }= \frac{2}{6}[/tex] you have to simplfy, the answer will be [tex]\frac{1}{3}[/tex]

 (-4, -10),(0, -2) [tex]\frac{{-2- -10} }{0 - -4 }= \frac{8}{4}[/tex] you have to simplfy, the answer will be [tex]\frac{2}{1} =2[/tex]

Answer:

731

Step-by-step explanation: