2 PART QUESTION

Consider the number 0.101001000100001…




1)
Which choice correctly describes the given number?
A) terminating
B) repeating
C) rational
D) irrational


2)
Which statement correctly classifies π as rational or irrational?
A) Rational because it equals 22/7
B) Rational because it equals 3.14.
C) Irrational because it has its own symbol.
D) Irrational because it doesn't equal a terminating or repeating decimal.

Answer:

job A because 4% of 2000 is 80 and job A is 5 dollars extra

Answer:

the median is the middle set of data.

Step-by-step explanation:

Answer:x=33.6

Step-by-step explanation:

You would set up the equation 6/5 = x/28 Then you would cross multiply 6•28 then divide by 5

Answer:

Answer:33.6

Step-by-step explanation:

I just know it.

Answer:

yes I agree B=3t/h

Step-by-step explanation:

hope this helps :)

Answer:3

Step-by-step explanation:

7x3=21 4x3=12 21÷12=9 3x3=9

Answer:

Step-by-step explanation:

7 × 3 = (3 × 3) + (4 × 3)

Answer:

Not sure

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

2/3,7/10,11/15,4/5

Step-by-step explanation:

You want to make them all have the same denominator so find a number all of the denominators can go to. In this case it seems to be 30.

7/10x3

21/30

2/3x10

20/30

4/5x6

24/30

11/15x2

22/30

Answer:

2/3, 7/10, 11/15, 4/5

Step-by-step explanation:

2/3= .66

7/10= .70

11/15=.73

4/5= .80

the decimals are numbers.

Answer:

B.

Step-by-step explanation:

Answer:

8 visits

Step-by-step explanation:

Create an equation, where x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

Solve for x:

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.

By given she has  85 rewards points just for signing up.

She earns 12.5 points for each visit to the movie theater.

She needs 185 points for a free movie ticket.

We must find how many visits does aria has to make to earn a free movie ticket

If two expressions with equal sign is called as equation.

Let  x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

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Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Answer:

Step-by-step explanation:

[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

     Right side up = 60         Upside down = 53             Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

[tex]Right = 60[/tex]

[tex]Upside\ down = 53[/tex]

[tex]Side = 37[/tex]

Required

First, we calculate the probability of landing on side

[tex]P(Side) = \frac{n(Side)}{Total}[/tex]

[tex]P(Side) = \frac{37}{150}[/tex]

[tex]P(Side) = 0.247[/tex]

Next, we calculate the expected value; E(x) using:

[tex]E(x) = n * P(x)[/tex]

When tossed 100  more times:

n = 100 and P(x) = P(Side) = 0.247

So:

[tex]E(x) = 100 * 0.247[/tex]

[tex]E(x) = 24.7[/tex]

[tex]E(x) = 25[/tex] --- approximated

Hence, it is expected that it will land on its side 25 times

Answer:

w+6=8 and w=2

Step-by-step explanation:

2(w+6) = 16

divide by two on both sides to remove the 2

w+6=16/2

w+6=8

  -6 (remove six from both sides)

w=2

Answer:

the answer of this question is 1/3

39/117 = 1/3

Answer:

$1.25

Step-by-step explanation:

Given data

let the movie ticket be x and the candy bar be y

x+y= 5-------------1

also

2x+y= 8.75--------2

solve 1 and 2

x+y= 5

2x+y= 8.75

from 1

x= 5-y

put this inplace of x in 2

2(5-y)+y=8.75

10-2y+y= 8.75

10-y= 8.75

10-8.75=y

y= 1.25

Hence candy bar is $1.25

Answer:

8

Step-by-step explanation:

= f (x) = -2 log 4 (x + 5) - 4

= 4 (-2 + 5) - 4

= So you do -2 + 5 because they are in ( ) so you do it first so (-2 + 5) = 3

= So now you have 4 (3) - 4

= You do 4 and (3) because when you have a 4 by a ( ) that means you multiply.

= 4 (3) which is the same as 4 × 3 which is 12.

= then you do 12 - 4 which is 8.

= 8 is your answer.

I hope this helps.

Step-by-step explanation:

a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.

422.5m^2 is the answer

Answer:

$15 in interest

Step-by-step explanation:

sorry if it is wrong. I found 5% of 300 which is 15.

$15  money will tameka pay in interest.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

here, we get,

given that,

Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest.

P=$300

r=5%

t=1year

so, I =$300*5%*1

       =$15

Hence, $15  money will tameka pay in interest.

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The value of annual sales in 9 years is  $309,845.72.

In order to determine the annual sales of the company in 9 years, the formula to be used is:

FV = P (1 + r)^n

Where:

$155,000 x (1.08)^9 = $309,845.72

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Answer:

It would be 10 units

you can use the midpoint formula.

Answer:

$6.50

Step-by-step explanation:

43.50-24=19.5

19.5/3=6.5

Answer: Each snack costs $6.50

Step-by-step explanation:

Subtract 43.50 by 24

Then divide

Answer:

5

Step-by-step explanation:

In the case when we multiplied 0.014 by 100,000 so it comes

= 0.014 × 100,000

= 1,400

Since The value 0.014 were times by 5 zeros.

Therefore the decimal point would move 5 places to the right

Answer: 75

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

took the test

Answer:

D

Step-by-step explanation:

use math wwwway , it gives ypu the answer and explenation

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!

Answer:C

Step-by-step explanation:

C. 2/3 cm/s