mathematic, please answer
solve k:
8k-12=3

The number of hardback books that are on the bookshelf is 29 books.

Given the following data:

To determine the number of hardback books that are on the bookshelf:

Translating the word problem into an algebraic expression, we have;

The total number of books is:

[tex]T = H+P[/tex]

The number of hardback books is 15 more than twice the number of paperback books:

[tex]H =2P+15[/tex]

Substituting the given parameters into the formula, we have;

[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]

P = 7 books

For number of hardback books:

[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]

H = 29 books

Read more on word problem here: https://brainly.com/question/24604067

Part A: The system of equations to shows each person's subscribers is:

S  =  100  +  8x

A  =  220  +  3x

Part B: Sam and Alex will have the same number of subscribers after 24 weeks

Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal

Let the number of weeks be x

The initial number of followers that Sam has = 100

Sam gains 8 subscribers every week

Let the total number of subscribers that Sam has be S

The equation that represents Sam's total subscribers is:

S    =   100  +   8x..................(1)

The initial number of followers that Alex has = 220

Alex gains 8 subscribers every week

Let the total number of Alex's subscribers be A

A  =  220  +  3x....................(2)

If Sam and Alex have the same number of subscribers:

S   =   A

100 + 8x  =  220  +  3x

8x  -  3x   =   220   -  100

5x    =   120

x   =  120/5

x   =   24

Sam and Alex will have the same number of subscribers after 24 weeks

To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)

S = 100 + 8x

S  =  100  +  8(24)

S  =   292

Sam and Alex will have 292 subscribers when their subscriber count is equal

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The required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

Given expression,

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We have to find the Equivalent fraction of  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We know that from the properties of logarithm, the following identities

[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)

[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)

Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)

Again using 2 identity, we get

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]

Hence the required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

For more details on logarithm follow the link:

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Answer:

C on edge

Step-by-step explanation:

Answer:

1. v = 3

2. y = 2

3. u = 6

Step-by-step explanation:

Answer:

1,632

Step-by-step explanation:

the 15% of 1,920 is 288 subtract it to 1,920 so you'll get 1,362 is the number of athletes finished the race this year

Answer:

The Equation for lyft is:

4.50x

The Equation for uber is

2.50x+5

Step-by-step explanation:

If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.

It would look like this

Lyft: 4.50 (5)= 22.5

Uber

2.50 (5) +5= 17.5

If the distance were 5 miles uber would be the better option.

Answer:

10111

Step-by-step explanation:

10111

Answer:

The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done

Step-by-step explanation:

Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle

Area of regular hexagon ABCDEF with side [tex]x[/tex]

[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]

Area of regular hexagon FGHIJK with side [tex]px[/tex]

[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]

Area of shaded region

[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]

Answer:

y-y=1 so the answer is 1 bro

Answer:

10z + 5    

Step-by-step explanation:

(3 z + 1) + (5 + 7 z )

3 z + 1 + 5 + 7 z     [Remove parentheses]

10z + 5                 [Combine like terms]

.

[tex]10z + 6[/tex]

[tex]3z + 7z + 5 + 1 = 10z + 6[/tex]

Answer:

(3x−4) −(x−5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, the additive inverse of −9x+3 is 9x - 3.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]

Answer:

the correct is 39

Step-by-step explanation:

there is nine number there so the fifth is it and it was in order that helped alot

Answer: The 9th term of the sequence 27,37,47 is 107.

Answer:

I think it's B.

Step-by-step explanation:

Answer:

(x-1)(x-2)

x=1, x=2

Step-by-step explanation:

Answer:

Answer:

time = 113.75 minutes

= 113.75 min

= 01:53:45

= 1 hours, 53 minutes, 45 seconds

Step-by-step explanation:

Step-by-step explanation:

f(x) = 2x - 1

Putting value of x = - 8

f(-8) = 2(-8) - 1

= - 16 - 1

= - 17

Answer:

where is the question like background info

Step-by-step explanation:

Answer:

the value of y+2 is 21+2=24y

[tex]\rm{\green{Answer \: is:-}}[/tex]

[tex]3xy \sqrt[24]{ {4x}^{2} } [/tex](3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

Let's see

[tex]\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}[/tex]

[tex]\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2[/tex]

Answer:

Step-by-step explanation:

(

4

x

​

)<(

15

5(5x−2)−3(7x−3)

​

)

(

4

x

​

)<(

15

25x−10−21x+9

​

)

(

4

x

​

)<(

15

4x−1

​

)

15x<16x−4

4<x

∴x∈(4,∞)

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{-1 - [-z]}\\\\\huge\textsf{= -1 - [- -2]}\\\\\huge\textsf{= -1 - - 2}\\\\\huge\textsf{= -1 + (-2)}\\\\\huge\textsf{= -1 - 2}\\\\\huge\textsf{= -3}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-3

Step-by-step explanation:

Evaluate - 1 - ( - z ) where z = -2

you can find this out because when there are two minuses by each other it equals a positive but then z = -2 so that adds another minus so it narrows it down to -1+-2 which equals 3

Answer:

-1 + 4 = -0.25(-4-8)

Step-by-step explanation:

Step 1: graph your points

Step 2: draw a line thru the points

Step 3 find the slope: -0.25 or -1/4

SLOPE POINT FORM:

y-y1=m(x-x1)

(-1)-(-4) = -0.25(-4-8)

-1 + 4 = -0.25(-4-8)

Hope that helps

Answer:

46 bc 250 -20 =230 and 230÷5= 46