given a set of numbers (0,1,2,3,4,5,6) if one of the set is chosen at random, find the
probability that the number is a solution of 3x-4 < 11

Answer:

A) The solution is x = 2 and y = 2

B) The graphs would intersect at the point (2, 2).

Step-by-step explanation:

A)

We start with the system of equations:

y = 6*x - 10

y = 2*x - 2

To solve this, the first step is to isolate one of the variables in one of the equations.

Here we can see that the variable "y" is already isolated in both equations, so we can skip that step.

Now we can "replace" the "y" in one of the equations for the correspondent expression in the other.

we can write:

(6*x - 10) = y

and for the second equation, we know that y = 2*x - 2

So replacing that, we get:

6*x - 10 = 2*x - 2

Now we can solve this for x.

6*x - 2*x = - 2 + 10

4*x = 8

x = 8/4 = 2

Now to find the value of y, we can just input this value of x in any one of the two equations:

y = 6*2 - 10 = 12 - 10 = 2

y = 2*2 - 2 = 4  - 2 = 2

So the solution of the system is:

x = 2, y = 2

B) Because the solution of the system is the ordered pair (2, 2), this means that the ordered pair belongs to the graph of both lines, then we can conclude that these lines will intersect at that point (the one that is common to both lines). Actually, when we have a system of equations, graphing both equations and finding the points where the graphs intersect is one method to estimate the solution of the system.

Step-by-step explanation:

multiply length, width and height. 7x7x10=197.33

Answer:

An = 6 + (n-1)5

A25 = 120

Step-by-step explanation:

Given sequence;

6 , 11 , 16 , 21 , 26 , .......

Find:

25th term

Computation:

First term of AP (a) = 6

Common difference (d) = a2 - a1

Common difference (d) = 11 - 6

Common difference (d) = 5

An = a + (n-1)d

So,

An = 6 + (n-1)5

So,

If n = 25

A25 = 6 + (25 - 1)5

A25 = 6 + (24)5

A25 = 6 + 120

A25 = 120

Answer:

C

Step-by-step explanation:

do that with pithagoras:

20² + 4,5² = x²

400 + 20,25 = x²

420,25 = x²

x = [tex]\sqrt{420,25}[/tex]

x ~ 20,5

Letter C: 20,5 feet

The required length of the ladder is given as 20.5 feet. Option C is correct.

In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.

Here,
The height of the building is 20 feet,
base length from the bottom of the building to the bottom of the ladder is 4.5 feet,
Let the hypotenuse length of the ladder be x,
Applying the Pythagoras theorem,
x² = 4.5² + 20²
x = √[420.25]
x = 20.5 feet

Thus, the required length of the ladder is given as 20.5 feet. Option C is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Answer:

y=[tex]-\frac{\sqrt[3]{63} }{3}[/tex]

y=0

Step-by-step explanation:

− 4 [tex]y^{2}[/tex] ( 3 [tex]y^{3}[/tex] + 7 )

-4[tex]y^{2}[/tex] =0,     ( 3 [tex]y^{3}[/tex] + 7 )=0

[tex]y^{2}[/tex] =0         3[tex]y^{3}[/tex] =-7

y=0            [tex]y^{3}[/tex] =[tex]\frac{-7}{3}[/tex]

                   y=[tex]-\frac{\sqrt[3]{63} }{3}[/tex]

Answer:

18.84feet

Step-by-step explanation:

Length of an arc = rtheta

radius r = 9feet

theta = SR= 120°

Convert theta to radians

theta = 120π/180

theta= 2π/3

Length of the arc = 9 * 2π/3

L = 18π/3

L = 6π

L = 6(3.14)

L = 18.84feet

Hence the length of the arc is 18.84feet

Answer:

1. 23

2. 8

Step-by-step explanation:

1. 180-157 = 23

2. 15²+x²=(9+x)²

225 +x²=81+18x +x²

225-81=18x

144 = 18x

x = 144/18 = 8

Answer: C) Multiply the number of solid and clear beads by 2.

D) Divide the number of solid and clear beads by 4.

E) Multiply the number of solid and clear beads by 18.

Step-by-step explanation:

Multiplication and Division are the two arithmetic operations that are used to get an equivalent ratio or fraction.

So, the operations that will give an equivalent ratio are Multiplication and Division.

So that correct options are

C) Multiply the number of solid and clear beads by 2.

D) Divide the number of solid and clear beads by 4.

E) Multiply the number of solid and clear beads by 18.

Answer:approximately 2.718

Step-by-step explanation:The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718. ps. i got this from someone

Answer:

The diameter is 1 unit.

Step-by-step explanation:

The formula for circumference of a circle of diameter d is C = (3.14)d, where 3.14 is a close approximation of π (pi).

Here the circumference is given and is 3.14 units.  Because C = 3.14d,

the diameter of this circle is 3.14/3.14, or simply 1 (unit).

The answer:

(x–6)²+(y+4)²=81

Answer:

20w(p + r)

Step-by-step explanation:

It's readily evident that 5w is common to all three terms.  Factoring out 5w, we get:

5w(p + 3p + 4r), or

5w(4p + 4r), or

20w(p + r)

Answer:

20w(p + r)

Step-by-step explanation:

We can factorize it in the following way...

5wp + 15wp + 20wr = 20wp + 20wr = 20w(p + r)

Answer:

D

Step-by-step explanation:

I hope you get this right

Answer:

58.5 square feet

Step-by-step explanation:

Answer:

40079 Km

Step-by-step explanation:

La circunferencia de la tierra está dada por;

C = 2πR

Dónde;

R = radio de la tierra

Tenga en cuenta que;

R = D / 2

Por eso;

C = 2πD / 2

C = πD

C = 3.412 * 12756 kilómetros

C = 40079 Km

Answer:8+10X5=58 or 3+5x11=58

Step-by-step explanation: hope it help

Answer:

The answer would be 90° seeing that it is a right angle triangle

Answer:

5^8

Step-by-step explanation:

(5^4)^2 = 390625

5^8 = 390625

Answer:

y=12

Step-by-step explanation:

y is inversely proportional to x

y=k/x

k is a constant of proportionality

k=yx

y1x1=y2x2

8(9)=y2(6)

y2=8(9)/6

y2=12

A ) ( x - 3 )( x + 1 ) [ not perfect ]

B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]

C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]

D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]

Thus the correct answer is option D .

Answer: X-

Step-by-step explanation:

Answer:

[tex]\dfrac{-1}{2}[/tex]

Step-by-step explanation:

We need to find ration numbers between -1 and 1.

Multiplying and dividing both -1 and 1 by 2.

[tex]\dfrac{-1\times 2}{2}=\dfrac{-2}{2}[/tex]

and [tex]\dfrac{1\times 2}{2}=\dfrac{2}{2}[/tex]

Now, the rational number between -2/2 and 2/2 is [tex]\dfrac{-1}{2}[/tex].

Answer:

Total Area = 236.715 sq ft

Step-by-step explanation:

this is a composite figure made up of a circle and a rectangle; find the area of each and then add them together

A(circle) = πr²

= π(7.5²)

= 176.715

A(rectangle) = 15(4) which is 60

Total Area = 236.715 sq ft

Answer:

1,270

Step-by-step explanation:

you are going to multiply all the numbers by the answers example: 2 ×2=4 ×5 =20×8=160×7 = 1,270

Answer:

This is called a Trapezoidal prism

Number of faces: 5

Number of edges: 9

Number of vertices: 6

Hope this helps!!

Answer:

B. SF=1/2 (image was reduced)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

80% of 25 is 20

20 / 0.8 = 25

Check:

20/25 = 0.8 = 80%

Answer: OHHH lol this is 6th grade math- its the last choice D. 25

Step-by-step explanation:

Ehhh I done with 6th grade that's how I know -_-

Answer:

The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Given,

f (2) = 60 – 5

      = (30 X 2) - 5

∴ f (x) = [tex]30x-5[/tex]

Again,

f (x) = 13 [given]

[tex]30x-5=13\\or, 30x= 13+5\\or, 30x=18\\or, x=\frac{18}{30} \\\\or, x=\frac{3}{5} \\[/tex]

∴[tex]x=\frac{3}{5}[/tex]

Verification:

f (x) = [tex]30x-5[/tex]

∴ f ([tex]\frac{3}{5}[/tex]) = (30 X [tex]\frac{3}{5}[/tex]) - 5

         = 18 - 5

         = 13

∴ The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]

While this may look like it's a lot to keep track of, its not too bad. We have 7 copies of (-8) in total. The 7 copies due to the exponent of 7. Nice work on getting the correct answer for the second part.

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A further detailed breakdown:

(-8)^3 is the same as (-8)(-8)(-8) so we have three copies here

(-8)^4 is the same as (-8)(-8)(-8)(-8) and we have four copies

Overall, we have 3+4 = 7 copies total.

Answer:

meter probably

Step-by-step explanation: