A two digit number is chosen at random. Find the probality that the number is a perfect square​

Answer:

(a+2)/(a-1)

Step-by-step explanation:

[(a^2+5a+6)/(a^2-1)]/[(a^2-9)(a^2-2a-3)]

[(a^2+5a+6)/(a^2-1)]*[(a^2-2a-3)(a^2-9)]

[(a^2+3a+2a+6)/(a-1)(a+1)]*[(a^2-3a+a-3)/(a-3)(a+3)]

[a(a+3)+2(a+3)/(a-1)(a+1)]*[(a(a-3)+1(a-3)/(a-3)(a+3)]

[(a+2)(a+3)/(a-1)(a+1)]*[(a+1)(a-3)/(a-3)(a+3)]

=(a+2)/(a-1)

==============================================

Explanation

Let x be some positive real number such that

leading to the ratio

ST:TU:UV = 6x:2x:3x = 6:2:3

Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x

-----------------

The parts of the ratio add up to the longest segment SV

ST+TU+UV = SV

6x+2x+3x = 22

11x = 22

x = 22/11

x = 2

Therefore,

Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.

-----------------

The last step is to find the length of TV

TV = TU+UV

TV = 4+6

TV = 10

Or you could do

ST + TV = SV

12+TV = 22

TV = 22-12

TV = 10

Answer:

320 "if rounded"

Step-by-step explanation: you find out what number times itself equals 6500 which is 80.623 "rounded to 80" then you add up all the sides "80+80+80+80" or "8x4"  which would be 320 but you have to do nearest tenth so your answer would be 322.4.

Answer:

The mode would be 6

Step-by-step explanation:

The mode in mathematics refers to the number that appears the most frequently in the set of data. The number six is the only number that is shown twice, making it the mode.

Answer:

240

Step-by-step explanation:

Right now, Marlon's average is (210 + 225 + 254 + 231 + 280) / 5 = 240. To maintain that average, the sum of Marlon's scores after 6 games must be 240 * 6. Currently, the sum of Marlon's scores is 240 * 5 so he must score a 240 * 6 - 240 * 5 = 240(6 - 5) = 240 * 1 = 240 for his last game.

Answer:y=28

Step-by-step explanation:

all triangles add up to 180 and this triangle is an isosceles triangle so 34 should be equal to x-5 meaning that two of the angles are 34 degrees and you just need to subtract 34(2) from 180 which is  180-68 to give you 112. Then since this is the value of 4 times y, just divide 112 by four to isolate the variable and you get 28.

Answer:

[tex]\large \boxed{\mathrm{The \ product \ of \ N \ and \ 6}}[/tex]

Step-by-step explanation:

[tex]\sf N \cdot 6[/tex]

[tex]\sf N \ and \ 6 \ are \ multiplied.[/tex]

[tex]\sf The \ product \ is \ the \ result \ of \ multiplying.[/tex]

Answer:

[tex]x=1[/tex]

B

Step-by-step explanation:

So we have the equation:

[tex]3x-x+2=4(2x-1)[/tex]

Combine like terms on the left:

[tex]3x-x+2=4(2x-1)\\2x+2=4(2x-1)[/tex]

Distribute out the right:

[tex]2x+2=4(2x-1)\\2x+2=8x-4[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+2)-2x=(8x-4)-2x\\2=6x-4[/tex]

Add 4 to both sides. The right side cancels:

[tex]2+4=(6x-4)+4\\6=6x[/tex]

Divide each side by 6:

[tex](6)/6=(6x)/6\\x=1[/tex]

Therefore, the solution is: x=1.

Answer:

0.16

Step-by-step explanation:

We can convert 4 / 25 to 16 / 100. Since 100 ends in 2 zeroes, we know that there will be 2 digits after the decimal point, therefore, the answer is 0.16.

Answer:

0.16 is the answer

Step-by-step explanation:

just simply divide 4 by 25 and you ll get the answer

Answer:

[tex]B = \frac{3}{2} * 21,356[/tex]

Step-by-step explanation:

Given

Represent Jimmy with J and Bob with B

[tex]J = 21,356[/tex]

[tex]B = 1\frac{1}{2} * J[/tex]

Required

Determine the expression for B

[tex]B = 1\frac{1}{2} * J[/tex]

Substitute 21,356 for J

[tex]B = 1\frac{1}{2} * 21,356[/tex]

Convert Mixed fraction to improper

[tex]B = \frac{3}{2} * 21,356[/tex]

The above is an expression for B

Solving further, we have

[tex]B = \frac{3 * 21,356}{2}[/tex]

[tex]B = \frac{64068}{2}[/tex]

[tex]B = 32034[/tex]

Answer:

b. length is 4 more than the width.

Step-by-step explanation:

Length - width = x + 4 - x = 4.

Answer:

(D) C'D' and CD are equal in length

Step-by-step explanation:

When we reflect a line, nothing changes about it except it's position.

The line never gets dilated in any way.

This means that B and C must be incorrect, since they refer to dilating the line.

Now we can think about it. If we reflect a line across the y-axis, that means that the line will be parallel to the original line. This means A is false.

That leaves D.

Hope this helped!

Answer:

Step-by-step explanation:

Circumference = pi * d

1/12 = 30/360 = You need to find 30 degrees

Known:

D = 36

1/12 = percentage

Unknown:

Answer = ?

1/12 * pi * d

= 1/12 * pi * 36

= 1/12 * 36 * pi

= 3 pi

The answer is 3 pi.

Hope this helped,

Kavitha

Answer:

AC = 3 π

Step-by-step explanation:

given dia of a circle = 36 cm

radius r = 36 / 2 = 18

angle Ф = 30°

req'd:  Arc length of a circle AC.

                       Ф

arc length = -----------  x  2 π r

                      360

         30°

AC = --------- x 2 π (18)

         360

AC = 3 π

Answer:

(x,y)=(-2,-1)

Step-by-step explanation:

4x - y = -7: 8x-2y=-14

8x-2y=-14

-8x + 4y = 12

add these two:

2y=-2

y=-1

plug in the y:

-8x-4=12

-8x=16

x=-2

Answer:

YES

Step-by-step explanation:

I would recomend them as electives, for students who want a higher level of education, not a required course.  I do think school should offer more course options at there school, to specialize a students learning exsperience. So yes I think schools should offer these courses...as electives.

Answer:

No because that's not math related, it should be taught in/as a different class.

Answer:

15/7

Step-by-step explanation:

8/7 + 7/7 = 8+7 = 15

Therefore, the sum of 8/7 + 7/7 is equals to 15/7

Answer:

To add fractions, find the LCD and then combine.

Exact Form:

1 5/7

Decimal Form:

2.142857

Mixed Number Form:

2 1/7

Answer:

I think of (C.85) can't be constructed

Step-by-step explanation:

hope this helps you :)

Answer:

C) 85

Step-by-step explanation:

Hope this helps

Answer:

(4h+2k)

Step-by-step explanation:

y685

Answer:  fixed charge = 15,   extra day = 3

Step-by-step explanation:

Let x represent the charge for an extra day (after 3 days)

Let y represent the fixed charge (for first 3 days)

Equation 1:    7 days is 4 extra days   -->      4x + y = 27

Equation 2:   5 days is 2 extra days   -->     2x + y = 21

Multiply the second equation by -1 and add the two equations together:

                   4x + y = 27

                 -2x  - y = -21  

                  2x       =   6

                          x = 3

Input x = 3 into either equation to solve for y:

2x + y = 21

2(3) + y = 21

         y = 15

Answer:

0

Step-by-step explanation:

(3−10)^2 − (5−12)^2

(3−10)^2 = 49

(5−12)^2 = 49

49 - 49 = 0

Answer: 0

Step-by-step explanation:

3-10= -7. -7^2=49

5-12=-7. -7^2=49

49-49=0

Answer:

Option (C)

Step-by-step explanation:

By the definition of a major arc - any arc of a circle which measures more than 180°  is the major arc.

In the given circle, AC and BD are the two chords.

And arcs measuring more than 180° are,

[tex](\widehat{BCA}, \widehat{CDB}, \widehat{ABD},\widehat{DAC},\widehat{DBC},\widehat{ACD})[/tex]

Therefore, the arcs given in Option (C) will be the major arcs of the circle O.

Option (C) will be the correct option.

Answer:

$23.20 and $29

Step-by-step explanation:

We can set up a simple equation to solve this problem.

4x + 5x = 52.2

9x = 52.2

x = 5.8

To find out how much each person received, we multiply 5.8 with the ratio numbers 4 and 5. That gives us $23.20 and $29, respectively.

If you would like more help in math or other subjects for FREE, check out growthinyouth.org.

Answer:

Hey there!

The domain is the range of all the x values.

So for this graph, the domain would be [tex]-10<x\leq 8[/tex].

Note that the open circle means < or > and the closed circle means ≤ or ≥.

Let me know if this helps :)

Answer:

n =59

Step-by-step-explanation :

Answer:

Step-by-step explanation:

4/5 is less than 1, so multiplying 5/8 by 4/5 results in a product smaller than the two factors.

If Joanne read 84 pages in 4 hours. Then the unit rate for Joanne is 21 pages per hour.

The rate is the ratio of the amount of something to unit time.

For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.

Joanne read 84 pages in 4 hours.

Then the rate of the Joanne will be

[tex]\rm Rate = \dfrac{84}{4}\\\\Rate = 21[/tex]

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

a(sub n)=a(sub n-1)÷4 when n≥2

Step-by-step explanation:

a(sub n)=a(sub n-1)÷4 when n≥2 (the second term)

sorry - my iPad doesn’t let me do subscript. You just have to write an n and n-1 in the lower subscript position after a

Answer: We should first use order of operations to multiply 6 and -5. Then we add and subtract from left to right.

Demo:

6 * (-5) = -30

Equation looks like: -2 - 30 + 9

-2 - 30 = -32

-32 + 9 = -23

-23 is the answer to this equation.

Answer:

(2·4)² = 64  /  (6*2)² = 144

Step-by-step explanation:

Follow PEMDAS :

Parenthesis first, so:

2 * 4

==> 8

Then Exponent:

8 ^2

==> 64

(2·4)² = 64

Do the same for (6:2)² :

Parenthesis first :

6 * 2

==> 12

Then Exponent:

12^2

==> 144

(6:2)² = 144

Answer:

Step-by-step explanation:

First, multiply the numbers inside the parenthesis. So

1. 2*4 = 8

2. 6*2 = 12

Next, Use the exponents

1. 8^2

2. 12^2

Finally, solve using exponents.

1. 8^2 = 64

2. 12^2 = 144

So 64 and 144 is the answer.

Hope this helped,

Kavitha