there are 11 books on a shelf. 3 of these books are new The rest of them are used. Whats the ratio of all books on the shelf to used books

Answer:

8/3

Step-by-step explanation:

Let x represent the number.

Create an equation to represent the situation, and solve for x:

3x - 2 = 6

3x = 8

x = 8/3

So, the number is 8/3.

Answer:

1) (f+g ) x = (x²-4)+ (x+2) = x²+ x –2

2) (f - g ) x = (x²-4) – (x+2) = (x²-4)+ ( -x - 2) = x²–x–6

3) (f × g ) x = (x²-4)(x+2) = x³+2x²– 4x – 8

4) (f / g) x = (x²-4) / (x+2) = x – 2

5) ( f + g ) 4 = (x²-4)+ (x+2) = ((4²)-4)+ (4+2) = ( 16–4) + (6) = 12+6 = 18

I hope I helped you^_^

Step-by-step explanation:

(X)^2 - (6)^2

= (x-6)(X+6)

Answer:

[tex](x - 6) \times (x + 6)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 36[/tex]

write in exponential form.

[tex] {x}^{2} - {6}^{2} [/tex]

factor:

[tex](x - 6) \times (x + 6)[/tex]

Answer:

10cm

Step-by-step explanation:

78,5=pi.r^2

Answer5:

Step-by-step explanation:

Answer:

if you scored a 83 on every test in a class your standard deviation would be 0. The point is that the bigger the standard deviation the more "variation" you will find in the raw numbers.... "D" (international equities) is the answer to this question...

it has the highest percent for the standard deviation, this it is the

MOST IN-COSISTENT

Step-by-step explanation:

Answer:

[tex]0.3[/tex]

Step-by-step explanation:

[tex]3 \div 10 = 0.3[/tex]

Answer: 0.3

Step-by-step explanation:

Answer:

32 cm²

Step-by-step explanation:

Area of rectangle

= length × breadth

= 8 cm × 4 cm

= 32 cm²

Answer:

7.3

Step-by-step explanation:

The length of AB is found using the distance formula

We need to know the coordinates of A and B

A = (-5,-4) and B = (-3,3)

The distance is

d = sqrt ( (y2-y1)^2 + (x2-x1)^2)

   = sqrt( (3 - -4)^2 +(-3 - -5)^2)

   = sqrt( (3+4)^2 +(-3+5)^2)

   = sqrt(7^2+2^2)

   = sqrt(49+4)

  = sqrt(53)

  =7.280109889

To the nearest hundredth

 =7.3

There are 8 possibilities when flipping three coins and the possibility of getting all heads is 1 out of 8.

1. h h h

2. h h t

3. h t h

4. h t t

5. t t t

6. t t h

7. t h t

8. t h h

Therefore the probability is:1/8

Answer:

{x : x Σ N, x<15}

Step-by-step explanation:

Set of all natural number less than 14 = {x : x Σ N, x<15}

Answer: 32.20$ Train Fee

Step-by-step explanation:

15% of 28 is 4.20... 4.20 will be added to the current Train Fee

   28.00$

 +   4.20$

    32.20$

Final result: The Train Fee will be 32.20$

Answer:

B

Step-by-step explanation:

The lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.

The area of a figure is the two-dimensional space enclosed within the boundary of that figure.

In the question, we are asked to find the lateral area of the regular pyramid shown.

A regular pyramid is one with all lateral faces the same.

In the given diagram, the pyramid shown has a hexagonal base. So it has 6 equal lateral faces.

Each lateral face is a triangle, with the base as 12 units and height as 15 units.

Thus, the area of one lateral face = (1/2)*12*15 units² = 90 units².

Thus, the total lateral surface area = Lateral surface area of one lateral face*number of lateral faces = 90 units²*6 = 540 units².

Thus, the lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.

Learn more about lateral surface area at

https://brainly.com/question/27954586

#SPJ2

A set S has four members if there are six subsets of it, each with two members.

The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.

[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]

There are 6 subsets in this situation, each with 2 members.

So, [tex]^nC_2[/tex] = 6

Simplifying the equation:

n! / (2!(n-2)!) = 6

n(n-1) / (2 x 1) = 6

n(n-1) / 2 = 6

n(n-1) = 12

Expanding the equation:

[tex]n^2 - n = 12[/tex]

[tex]n^2 - n - 12 = 0[/tex]

Factoring the quadratic equation:

(n - 4)(n + 3) = 0

When all factors are set to zero and n is calculated:

n - 4 = 0    or    n + 3 = 0

n = 4        or    n = -3

Since n must be a positive integer.

So, n = 4 is the valid solution.

Thus, set S consists of 4 members.

Learn more about Combination here:

https://brainly.com/question/28720645

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Answer:

1 gallon = 600 sq ft. So you will need 7 gallons to cover the whole wall

Step-by-step explanation:

4200 ÷ 600 = 7

Answer:

7

Step-by-step explanation:

Divide the total wall space by the amount in 1 gallon: 4200/600= 7

So you would need 7 gallons to paint the whole wall.

Is that what you were looking for?

not enough information

Answer:

x = 4

y = 36

Step-by-step explanation:

use substitution

y=3x+24

y=9x

therefore . 9x=3x+24

x = 4

sub 4 in for x and solve for y

y = 9(4) = 36

Answer:

m<RST = 32°

m<TSQ = 58°

Step-by-step explanation:

m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.

m<RSQ + m<TSQ = m<RST

15x — 43 + 8x + 18 = 90

23x — 25 = 90

       +25     +25

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

23x = 115

/23      /23

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

x = 5

Now, plug this into the equation for m<RSQ and m<TSQ to find their values.

m<RSQ = 15x — 43

= 15x - 43

= 15(5) - 43

= 75 - 43

= 32

m<TSQ = 8x + 18

= 8x + 18

= 8(5) + 18

= 40 + 18

= 58

Now, check to see if our values are right or not.

15x — 43 + 8x + 18 = 90

15(5) — 43 + 8(5) + 18 = 90

75 - 43 + 40 + 18 = 90

32 + 40 + 18 = 90

90 = 90 CORRECT

9514 1404 393

Answer:

  4 in 3492 is 100 times 4 in 704

Step-by-step explanation:

To find the value of a particular digit, set the other digits to zero.

  4 in 3492 = 400

  4 in 704 = 4

The first 4 is 100 times the value of the second 4.

[tex]\\ \rm\longmapsto \sqrt[3]{8}=2[/tex]

[tex]\\ \rm\longmapsto \sqrt[3]{-8}=-2[/tex]

Answer:

All integers have only one cube root.

Because it is an inverse of an odd degree (3) exponent.

And

Answer:

d= 3h-6

Step-by-step explanation:

h= d/3+2

h-2= d/3

d= 3(h-2)= 3h-6

Answer:

d = 3h - 6

Step-by-step explanation:

[tex]h = \frac{d}{3} + 2[/tex]

subtract 2 on all sides :

[tex](h) - 2 = (\frac{d}{3} + 2) - 2 \\ \\ h - 2 = \frac{d}{3} [/tex]

multiply 3 on all sides:

[tex](h - 2) \times 3= \frac{d}{3} \times 3 \\ \\ 3(h - 2) = d[/tex]

open bracket:

[tex]d = 3h - 6[/tex]

Answer:

x = 6+b

Step-by-step explanation:

-6 = -x+b

Subtract b from each side

-6-b = -x+b-b

-6-b = -x

Multiply each side by -1

6+b = x

Answer:

The answer will befour times

Answer:

89,892

Step-by-step explanation:

[tex]x+y[/tex]

[tex](38,221)+(51,671)[/tex]

[tex]89,892[/tex]

false

false

false........

false

Answer:

it extends forever in one direction. so false i guess

Step-by-step explanation:

k/3 + 4 - 5k = -2k / · 3

k + 12 - 15k = -6k

k - 15k + 6k = -12

-8k = -12 / : (-8)

k = 12/8

k = 3/2 ← the end answer

Answer: A)

Answer:

A    d = 5+2

Step-by-step explanation:

There are two more drummers than violinists

There are 5 violinists

5 + 2 = d

or in other words, d = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

10 3/5

Step-by-step explanation:

6 4/5 + 3 4/5

First convert to improper fraction,

34/5 + 19/5

Then add the improper fractions,

=>53/5

Then convert improper fraction to mixed fraction,

=> 53/5 = 10 3/5

Answer:

Yes, the table represents a function.

Step-by-step explanation:

A function doesn't have multiple x values (inputs).

If the table were to have more than one 5 (or more than one 4 etc.) in the input column then it would not be a function.