A school is ordering chairs for the teacher's lounge and some of the classrooms. Each classroom needs 17 chairs, while the teacher's lounge needs 16.

Let n represent the number of classrooms included in the order and c represent the total number of chairs. Complete the table using the relationship between n and c.

Answer:

b = 1 - a

Step-by-step explanation:

Given

7 + 7a = 7(2 - b) ← divide both sides by 7

1 + a = 2 - b ( subtract 2 from both sides )

- 1 + a = - b ( multiply through by - 1 )

1 - a = b

Answer:

[tex]b = (a - 1)[/tex]

Step-by-step explanation:

[tex]7 + 7a = 7(2 - b)[/tex]

First Solve the brackets

[tex]7 + 7a = 7(2 - b) \\ 7 + 7a = 14 - 7b[/tex]

Then Make the b as the Subject

[tex]7 + 7a = 14 - 7b \\7 + 7a - 14 = 7b \\ 7a - 7 = 7b \\ 7(a - 1) = 7b \\ \frac{7(a - 1)}{7} = \frac{7b}{7} \\ a - 1 = b[/tex]

hope this helps you.

Have a nice day!

D

its just a basic logarithmic law.

Answer:

Depending on how much he had before he bought the game system.

Answer:

26.6 but that is not one of yor answers...

I think you have a typo in "A"

I think that your have a typo in the answers

x/sin(40) = 32/sin(90)

x = 26.6

Step-by-step explanation:

Answer:

I'm not sure what to do not doing this in skl

Answer:

25√3mm

Step-by-step explanation:

this might be the answer..

Answer:

[tex]25\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{10^2*\sqrt{3} }{4}[/tex]

Answer:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Step-by-step explanation:

Given

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Required

Correctly combine the like terms

We have:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Collect like terms (in decreasing degrees of m)

[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]

[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

So:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Answer: it would be D

Step-by-step explanation: because the x intercept is zero and the equation solved is 6  

Answer:

Step-by-step explanation:

Answer:

-108 is the answer to the question..

Answer:

​-108

Step-by-step explanation:

Answer

It is (7,9) (5,9) and (6,8)

Step-by-step explanation:

Answer: From Mustafa's perspective, there is a 47\degree47°47, degree angle between Ana and the kite.

Step-by-step explanation: Khan Academy

Answer:

Multiple of 3 from -3 to 15 are:-

3, 6, 9, 12 , 15

hope it is helpful to you ☺️

Step-by-step explanation:

Hola supiste algo bro o no

[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]

[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]

Answer:

£13,268.35 (sorry if this is incorrect :P)

Step-by-step explanation:

16.5% = 0.165

15890.23 x 0.165 ≈ 2621.88

15890.23 - 2621.88 = 13,268.35

Answer:

A.

Step-by-step explanation:

An irrational number is a number that goes on forever without repeating. The square root of 2 does exactly this.

Answer:

[tex]5x^{2}(x+7)(x-3)[/tex]

Step-by-step explanation:

5x4+20x3-105x2

5x2( x^2 +4x -21)

[tex]5x^{2}(x+7)(x-3)[/tex]

answer:

the answer is 40 because any expression divides itself is equals to 1

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{x^3}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

20

Step-by-step explanation:

alternate angles of two parallel lines WX and ZY

Answer:

20!

Step-by-step explanation:

Answer:

Perimeter

Step-by-step explanation:

Required

What does 36m represent?

From the question, we understand that the 36m is the measurement of the wall.

This, in other words, means the perimeter of the wall.

Hence, Supriya measured the perimeter

Answer:

C i think

Step-by-step explanation:

because c has y=x-2.

Step-by-step explanation:

Given radius = 30 in.

Circumference is given by 2πr

= 2 × π × 30

= 60π in

Answer:

The answer is "Option b".

Step-by-step explanation:

[tex]m\angle A = 55^{\circ}\\\\m\angle B = 44^{\circ}\\\\m\angle C = 180^{\circ}-(55^{\circ}+44^{\circ})\\\\[/tex]

         [tex]= 180^{\circ}-99^{\circ}\\\\=81^{\circ}\\\\[/tex]

 [tex]\frac{a}{\sin 55^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\a = \frac{68 \ \sin 55^{\circ}}{\sin 44^{\circ}}\\\\a= 80.2^{\circ}\\\\\frac{c}{\sin 81^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\c = \frac{68 \ \sin 81^{\circ}}{\sin 44^{\circ}}\\\\c= 96.7^{\circ}\\\\[/tex]

Answer:

25+40x=195

Step-by-step explanation:

If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).

Answer:

x = 26.4

Step-by-step explanation:

Hi there!

What we need to know:

Basic trigonomic ratios (θ is the reference angle):

Given the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:

sin(x) = 4/9

To solve for an angle given the side lengths, we use the inverse functions:

x = sin^-1 (4/9)

x = 26.4

I hope this helps!

Answer:

A = $12.30

Step-by-step explanation:

15 × 82 = 12.3

100

Answer:

5

Step-by-step explanation: