A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school's
student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum
number of students that can attend each meeting?

Answers

Answer 1

Answer:

Including the princpal and two counselors, only 40 students will be able to attend each meeting.

If the principal and two counselors dont attend, then 41 students can attend with one of their parents.


Related Questions

Which verbal expression shows 4-n?

Answers

Answer:

are there answer choices because if there is i can help you

I need a answer please

Answers

Answer:

You can not select three options, but only these two:

the graph has a domain of all real numbers

the graph has a range of y≥1

Step-by-step explanation:

See attachments.

Lisa sees a dress in a sale .The normal price of the dress is $45 the price that she reduced by 12% in a sale work out the price of the dress in the sale

Answers

Answer:

$39.6

Step-by-step explanation:

The population of Greenbow, Alabama in 1995 was 200 people. Since then, the population has grown 2% per year. Model this situation with the proper equation and use that equation to predict the population of Greenbow in 2020.

Answers

Answer:

Equation is;

P = I(1 + r)^n

The population is 328

Step-by-step explanation:

Here we want to model the situation and use the modeled equation to predict population.

This follows an exponential pattern with similarity to the amount paid on a compound interest

Mathematically, we can have the equation as;

P = I(1 + r)^n

Where P is the population we want to calculate

I is the initial population in 1995 = 200 people

r is the rate of increase = 2% = 2/100 = 0.02

n is the difference in the number of years = 2020-1995 = 25

Thus the population would be;

P = 200(1 + 0.02)^25

P = 200(1.02)^25

P = 328.12

which is 328 approximately

what are the values of the coefficient and constant term of 0 = 4 - 7 x^2 + x in standard form? a= b= c=

Answers

Step-by-step explanation:

0 = 4 - 7 x^2 + x

0= (-7)x^2 + (1)x + 4

a= -7

b = 1

c= 4

If (2 − √3) is a zero of a quadratic polynomial then the other zero is __________.

Answers

Answer:

(2+sqrt3)

Step-by-step explanation:

Assertion(A): (2-√3) is one zero of the quadratic polynomial then the other zero will be (2+√3).

Reason (R): Irrational zeros (roots) always occurs in pairs.

What is the other zero of the polynomial if one zero of the quadratic polynomial?

Since the given polynomial is a quadratic so it has only two zeros. Let other zero be x. Hence, the other zero is (2 -√3).

What is one zero of the quadratic polynomial?

Polynomials that have only one zero mean both values of the variable are the same. This is the case of equal zeros of a quadratic equation. Let x be the variable of a quadratic equation and both zeroes of the quadratic equation are 2, i.e., equal roots.

Learn more about quadratic polynomial at

https://brainly.com/question/20515167

#SPJ2

The question is above please help

Answers

Answer:

10x³ - 6x² - 9x + 12

Extra information:

★ Cubic polynomial: A polynomial of degree three is called cubic polynomial.

It is of the form P ( x ) = ax³ + bx² + cx + d [ Where a,b,c,d are real numbers and a is not equal to 0 . ]

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

x+5

Step-by-step explanation:

Side is equal to sqrt area

= sqrt x^2 +10x + 25

= x+5

So one side of the square is x+5 metres

Answer:

(x+5) meters long

Step-by-step explanation:

x^2 + 10x+25

We recognize that this is a perfect square trinomial

a^2 + 2ab+b^2 = (a+b)^2

x^2+2*5*x+5^2 = (x+5)^2

Since this is a square

A = s^2 where s is the side length

(x+5) ^2 =s^2

Each side is (x+5)

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

-1/5

Step-by-step explanation:

h(0) is 5, and h^-1 is 1/h, so 1/-5 is -1/5.

Please help! Correct answer only please! I need to finish this assignment by today.


On a residential single lane road there was a wreck that backed up traffic for 4 miles. 70% of the traffic consists of cars and 30% of the traffic consists of trucks. the average distance between vehicles is 3 feet. the average length of a car is 13.5 feet and the average length of a truck is 20 feet. estimate how many vehicles are stuck in the traffic jam.

(hint: there are 5280 feet in 1 mile)


A) 276

B) 896

C) 1172

D) 1412

Answers

Answer: B

If you take all the numbers in the paragraph; 20, 13.5, 3, 4 and then 30% and 70%. You would divide 20 by 3 and then multiply that answer by 4 then multiply that by .7 and .3 witch would equal 896

Today you jogged 1/3 of a mile
before stopping to chat for a
moment with your friend. Then you
continued to jog another 1/3 of a mile
before stopping for a drink of water.
How far did you jog all together?
Use the number line to help you.
Type your answer in the blue box.

Answers

You jogged 2/3 of a mile. 1/3 plus 1/3 equals 2/3.

Shelley sells 5 bone-shaped treats for $3.50. How much should she charge for a package of 12 treats? Which proportion is needed to solve the problem? StartFraction 5 over 12 EndFraction = StartFraction x over 3.5 EndFraction StartFraction 12 over 3.5 EndFraction = StartFraction 5 over x EndFraction StartFraction 3.5 over 12 EndFraction = StartFraction 5 over x EndFraction StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction

Answers

Answer:

StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction

or [tex]\frac{5}{3.5}[/tex] = [tex]\frac{12}{x}[/tex]

Step-by-step explanation:

Answer:

it’s D

Step-by-step explanation:

Which polynomial is in standard form?

Answers

Answer:

B

Step-by-step explanation:

Standard form is just descending powers.

Highest power in the polynomial is 5,

Second highest is 2,

Third Highest is 1 (x^1 = 9x)

Lowest is x^0 (the 12 is actually 12*x^0 = 12*1)

:-)

A dilation is given by the transformation (x, y) - (.75x, 75y). What type of dilation is this


A -enlargement
B- it is not a dilation
C- reduction

Answers

Most likely B because x>1 = enlargement vs x<1 = reduction, & the x & y are doing two completely different things

Solve for x. I WILL MARK BRAINLIEST.

Answers

Answer:

73 degrees

Step-by-step explanation:

We all know that the inner degrees of a pentagon add up to 540°

thus we can use the following equation to solve for x:

33+140+2x+x+x+75=540

173+4x+75=540

248+4x=540

4x=540-248

4x=292

x=292/4

x=73

Thus, the answer is 73 degrees

Answer:

[tex]x=73[/tex]

Step-by-step explanation:

The sum of all interior angles of a pentagon is 540°.

[tex]33+140+2x+x+x+75=540[/tex]

Add all like terms.

[tex]33+140+4x+75=540[/tex]

[tex]4x+248=540[/tex]

Subtract 248 on both sides.

[tex]4x=540-248[/tex]

[tex]4x=292[/tex]

Divide 4 on both sides.

[tex]x=292/4[/tex]

[tex]x=73[/tex]

The cost of a ticket increases by 10% to £18.15
Work out the original cost.

Answers

Answer:

£16.50

Step-by-step explanation:

[tex]x \times (1+\frac{10}{100} )=18.15[/tex]

[tex]x \times \frac{110}{100} =18.15[/tex]

[tex]\frac{110}{100} x=18.15[/tex]

[tex]1.1x=18.15[/tex]

[tex]\frac{1.1x}{1.1}=\frac{18.15}{1.1}[/tex]

[tex]x=16.5[/tex]

Answer: £16.50

Step-by-step explanation:

Let the original cost be x

x + 10/100x = 18.15

1.1x = 18.15

x = 16.50

On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

Time (x)

Height (y)
0 10
2 24
16 10
How high was the ball after 8 seconds?

Answers

Answer:

42

Step-by-step explanation:

plz help, if your answer is correct I will give it a brainiest, plzzzzz help

Answers

sorry I don't want to give you the wrong answer

Answer:

42 units²

Step-by-step explanation:

It can be split in two parts:

rectangle with sides of 1 and 12 units and

a right triangle with base (6-1)= 5 units and the height of 12 units.

then the area:

A= 1*12 + 1/2*5*12= 12+ 30= 42 units²

The length of a rectangular park is 20 feet longer than the width of the park.If the length of the park is 36 feet,what is the width of the park?

Answers

Answer: width = 16 ft.

Step-by-step explanation:

let width be w

Length is w + 20

Given

w + 20 = 36

w = 36 - 20

w = 16

Answer:

16 ft

Step-by-step explanation:

l= w+20

36= w+20

w= 36-20

w=16 ft

basil asks 40 students how many books they bought last year. the chart shows information about the number of books they each bought.

a) what is the percentage of those students who bought 20 or more books?

b) work out an estimate for the mean number of books bought.
please show the full working out.
Number of students who bought 0-4 books= 9
number of students who bought 5-9 books= 10
number of studenst who bought 10-14 books= 13
number of students who bought 15-19 books= 2
number of studenst who bought 20-24 books= 6
please show the full working out

Answers

Answer:

a) 15% b) 10.25

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = number of expected outcome/total outcome.

a)Total number of student is the total outcome = 40

Expected number of outcome is the number of students who bought 20 or more books = 6 (number of students who bought 20-24 books)

Probability of those students who bought 20 or more books =  6/40 = 0.15

Expressing as percentage = 0.15 * 100 = 15%

This means that 15% of the total students bought 20 or more books

b) Mean is calculated using the formula [tex]\overline x =\frac{\sum fx}{N}[/tex]

f is the frequency

x is the midpoint of the class interval

N is the total number of students.

Check the attachment for the frequency table.

[tex]\overline x = \frac{410}{40}\\ \overline x = 10.25[/tex]

Mean number of books bought is 10.25

what types of solutions does this equation have?

Answers

Answer:

Two imaginary solutions.

Step-by-step explanation:

In order to simplify the equation, we square root both sides. As the argument (value in the root) is negative, and we know that the square root function's domain is only positive numbers, we would have two imaginary solutions.

This would be positive/negative [tex]3i\sqrt{5}[/tex].

Another way to visualize this is by looking at the parabola's graph. Through algebraic manipulation, we know that the parabola is z^2 + 45. This parabola never crosses the x-axis. Therefore there are two solutions that are imaginary.

I hope this helps!

A triangle has two sides of lengths 5 and 12 what value could be the third side check all that apply
A)11 B)9 C)17 D)5 E)17 F)19

Answers

Answer:

9 and 11

Step-by-step explanation:

IS ANYONE GOOD AT CALCULUS? PLEASE HELP!!! The rate at which a certain radioactive isotope decays is given by = negative 0.0032 y, where y is the amount of the isotope after t days. After approximately how many days would the amount of this isotope in a sample reach 75% of its original amount?

Answers

Answer:

90 days.

Step-by-step explanation:

dy/dt = - 0.0032y

dy = -0.0032y dt

dy/y = -0.0032 dt

Integrating:

ln y = -0.0032t + c     where c is some constant

y = e^(-0032t) + e^c

y = A e^(-0032t)   where A is a constant.

At time 0 we can let y = 1 so in that case A = 1

When there is 0.75 of y left:

0.75 = e^-0032t

ln 0,75 =  -0032 t

t = ln 0.75 / -0032

t = 90.

Answer:

B. 90 days

Step-by-step explanation:

Edge 2022

which of the following rational functions is graphed below

Answers

Answer:

D.

Step-by-step explanation:

The simplest and fastest way to answer this question is to graph the equations given. Once you do so, then you should see that D is the correct answer.

I run a book club with $n$ people, not including myself. Every day, for $365$ days, I invite five members in the club to review a book. What is the smallest positive integer $n$ so that I can avoid ever having the exact same group of five members over all $365$ days?

Answers

Answer:

Step-by-step explanation:

if we have n people and we want to do groups of 5, the total number of different combinations is:

[tex]c = \frac{n!}{(n - 5)!5!}[/tex]

find the smallest n such c > 365.

let's do it by brute force:

if n = 5, we have:

[tex]c = 5C_5 = 5[/tex]

if n = 6

[tex]c =6C_5 =6[/tex]

if n = 7

[tex]c = 7C_ 5= 21[/tex]

if n = 8

[tex]c = 8C_5 = 56[/tex]

if n = 9

[tex]C = 9!/(4!*5!) = 126[/tex]

so 9 is not enough, let's see N = 10

C = 10!/(5!*5!)  = 252

10 is not enough, let's see with 11.

C = 11!/(6!*5!) =  462

So you need at least 11 members in the club.

Then the minimum number of members such we have more than 365 combinations is 11 members

Client need al least 11 members in the club.

Permutation and Combination

According to the question,

Group of five members, the combination will be:

→ [tex]c = \frac{n!}{(n-5)! \ 5!}[/tex]

By using Brute force,

If n = 5,

c = 5,

C₅ = 5

If n = 6,

c = 6,

C₅ = 6

If n = 7,

c = 7,

C₅ = 21

If n = 8,

c = 8,

C₅ = 56

Now,

If n = 9,

→ C = [tex]\frac{9!}{(4!\times 5!)}[/tex]

      = 126

and, If n = 10,

→ C = [tex]\frac{10!}{(5!\times 5!)}[/tex]

      = 252

and, If n = 11,

→ C = [tex]\frac{11!}{(6!\times 5!)}[/tex]

      = 462

Then perhaps the minimal number of individuals required to have more than 365 possible combinations seems to be 11.

Thus the response above is correct.

Find out more information about combination here:

https://brainly.com/question/11732255

plz help me, brainliest to be given

Answers

Answer:

4%

Step-by-step explanation:

R=INTEREST X 100% / TIME X PRINCIPAL

r=40 x 100=4000

4000/500 x 2=1000

4000/1000=4%

The chair of the meeting collects $2702 from 28 people.Whats the unit rate?

Answers

Answer:

$96.50

Step-by-step explanation:

If sin 2X = COS ZY and m2X = 72°, what is the measure of ZY?
18°
072°
90°
108°

Answers

Answer:

18°

Step-by-step explanation:

sin 2x=cos zy

m(2x)=72°

cos(π/2-a)=sin a

cos(π/2-72°)=sin72°

cos18°=sin72°

=>m(zy)=18°

The answer would be 18’

A square tile has a width of 1 foot. How many tiles will fit end-to-end along a
4-foot wall?

Answers

Answer: 4 tiles

Explanation: if the square has a width of one foot then the length is also one foot since all sides are equal. Therefore 4 squares can fit along a 4 foot wall

Answer:

4

Step-by-step explanation:

Starting at the left end of the wall, you'll find that you can set four (4) tiles end to end along this wall.

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
17/40
Plsss help !!

Answers

Answer:42.5%

Step-by-step explanation:

Answer:

the answer is 42.5%

Step-by-step explanation:

you multiply both 40 and 17 by 2.5 to get 42.5/100 which is the percent in fraction form

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