Which equation shows the area, in square centimeters, of the shaded figure?

7x - 35 < 2(x -5)

Use distributive property on the right side:

7x -35 < 2x - 10

Add 35 to both sides:

7x < 2x + 25

Subtract 2x from both sides

5x < 25

Divide both sides by 5

X < 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Solve the inequality 7x-35<2(x-5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

First, use the distributive property on the right-hand side:-

     7x-35<2x-10

Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.

Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.

Therefore

7x-35-2x<-10

Combine like terms:-

5x-35<-10

Now add 35 on both sides:-

5x<-10+35

On simplification,

5x<25

Divide by 5 on both sides:-

x<5

So the values of x less than 5 will satisfy this inequality.

[tex]\rule{300}{1}[/tex]

Answer:

126 ft²

Step-by-step explanation:

surface area of rectangular prism: 2(LW + HW + WL)

Here Given:

Surface Area:

height= 3 ft

width= 3 ft

length= 9 ft

the surface area of the given prism.

[tex]s.a = 2(hw + wl + hl )[/tex]

[tex]s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)[/tex]

[tex]s.a = 126 \: {ft}^{2} [/tex]

therefore, the surface area of the given prism is 126 square feets.

Answer:

you can put a point on (0,1) and (-1,0) and put a line through the two points

Step-by-step explanation:

Answer:

median: 80

first q: 60

third q: 100

min: 40

max: 110

Step-by-step explanation:

The median is the middle (piece of data), the middle line in the box. Min is smallest number. Max is biggest number. First quartile is the left side of the box. Third quartile is right side of box.

Answer:

  (c)  2205 cm³

Step-by-step explanation:

The volume of the original prism is the product of its dimensions. The volume of one of two identical pieces will be half that.

__

  V = LWH

  V = (21 cm)(21 cm)(10 cm) = 4410 cm³

Each piece will have a volume that is half that:

  V = 4410 cm³ ÷ 2 = 2205 cm³ . . . volume of each part

The water tank hold 863.50 [tex]ft^{3}[/tex] of water.

The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.

The water tank is in the shape of cylinder whose radius = 5 feet

and, height= 11 feet

Volume of water tank =[tex]\pi r^{2} h[/tex]

                                    = 3.14 * 5 * 5 * 11

                                    = 3.14*25*11

                                   = 863.50 [tex]ft^{3}[/tex]

Hence the water tank hold 863.50 [tex]ft^{3}[/tex] of water.

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Answer:

15,625

Step-by-step explanation:

If f(x) = 5x then f ¹ you must label all numbers in the equation to make it easier, once done you will have 25(5¹)=125¹

125x125=15,625

The inverse function of the given function is x/5.

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Given that, f(x)=5x

Now, y=5x

Replace x by y and y by x, we get

x=5y

y=x/5

and f⁻¹(x)=x/5

Therefore, the inverse function of the given function is x/5.

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Answer:

tₙ = (3.5x + 17.5)

Answer:

The last one ( bottom left)

Step-by-step explanation:

negative slope means the line is going downwards

positive y intercept means the line hits the y axis on a positive number

Answer:

image below

Step-by-step explanation:

Answer:

It is the first one

Hope this helps!

Answer:

I believe it is 4x+10y=200, x+y=38

Explanation:

Answer:

240 points game 3

Step-by-step explanation:

use what is given and put everything in variable terms since this asks for the average, you have to divide by the number of games in the end

Answer:

d) x ≤ 3

Step-by-step explanation:

The original air present after 8 breaths will be equal to 179.81 ml.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

It is given in the question that:-

During normal breathing, about 12% of the air in the lungs is replaced after one breath

If the initial amount of air in the lungs is 500 mL

how much of the original air is present after 8 breaths?

The calculation for the eduction of the air will be done by the following equation:-

[tex]\rm =Volume \ present\times (0.88)^n\\\\\\= 500\times (0.88)^8[/tex]

=179.88 ml

Hence original air present after 8 breaths will be equal to 179.81 ml.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.

Answer:

A=L*B

=12*9

=108

A=0.5base *H

=0.5(9)*7

=31.5

A=108+31.5

A=139.5

Answer:

g(p + 4) = [p² + 8p + 21 / 3p + 12]

Step-by-step explanation:

Function :

g(x) = (x² + 5) / 3x

Substitute x = p + 4 :

⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)

⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]

⇒ g(p + 4) = [p² + 8p + 21 / 3p + 12]

Answer:

(6x9) + (9x1)

Step-by-step explanation:

Answer:

What are we suppose to answer...

Answer:

7.04, 7.134 ,7.2, 7.413

Step-by-step explanation:

Answer:

I think none are solutions

Answer: [tex]\displaystyle d=\sqrt{53}[/tex]

Step-by-step explanation:

   We will use the distance formula to solve. See attached and view the work below.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(5-3)^2 +(11-4)^2}[/tex]

[tex]\displaystyle d=\sqrt{(2)^2 +(7)^2}[/tex]

[tex]\displaystyle d=\sqrt{4+49}[/tex]

[tex]\displaystyle d=\sqrt{53}[/tex]

   Since 53 is prime, this is the simplest form. Since it asks for an exact answer, we are done.

Answer:

least to greatest: 149,156,161,164,165,165,165,168,169,172,172,172,178,178,178,180,182,184,184,184,187,189,190,190,215

Greatest to least: 215,190,190,189,187,184,184,184,182,180,178,178,178,172,172,172,169,168,165,165,165,164,161,156,149

Step-by-step explanation:

Step-by-step explanation:

The correct answer here is 51

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

 Which one of these numbers is a composite number: 17, 51, 97, or 89?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Composite numbers are divisible by 3 or more numbers.

17 is divisible by 1 and 17 only, so it's not composite.

51 is divisible by 1, 51, 3, and 17, so it's composite.

97 and 89 are divisible by two numbers only, so they are not composite.

So we conclude that the answer is

51

[tex]\rule{300}{1}[/tex]

Answer:

Step-by-step explanation:

For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.

__

  7 + 11 = 18 > 14 . . . . Will make a triangle.

__

  2 + 8 = 10 . . . not greater than 10. Will not make a triangle.

__

This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...

  a +b > c  and  b +c > a  and  c +a > b

_____

Additional comment

There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.

Answer:

Option c, G(x) = 12x

Step-by-step explanation:

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1

In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.

- f(x) = x by m vertically stretches the graph of f by a factor of m units if

m > 1

- vertically compresses the graph of f by a factor of m units if

0 < m < 1.

This means the larger the absolute value of m, the steeper the slope.

Answer:

Here, the parent should pass through the origin, which is through the coordinate (0,0).

The only function that passes through this (0,0) point and is vertically stretched is only valid is:

y = 12x

Answer:

:

Answer:the radius would be 88cm

Step-by-step explanation:

radius. r = base circumference. C = volume. V = curved surface area.

Answer:

D. a=1 and b=4

Step-by-step explanation:

x^2-2x+(-2/2)^2 =3+(-2/2)^2

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

x^2-2x +1 =4

(x-1)^2=4

Therefore a=1 and b=4

Answer:

90 degree counter clockwise rotation about the origin
reflect across the x-axis

Step-by-step explanation:

Answer: y = -13

Step-by-step explanation:

Given:

[tex]\displaystyle \frac{y-8}{3} =-7[/tex]

Multiply both sides by 3:

[tex]\displaystyle y-8 = -21[/tex]

Add 8 to both sides:

[tex]\displaystyle y= -13[/tex]

Given equation,

Aim :

Cross multiplying them,

>> y - 8 = -7 × 3

>> y - 8 = -21

Transposing -8 from L.H.S. to R.H.S.,

>> y = -21 + 8

>> y = -13

Therefore :