William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2000 for their reception. If the reception hall charges a $70 cleanup fee plus $30 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer 1

Answer:

The answer is 64 people.

Step-by-step explanation:

If they invite 64 people and all of them show up you multiply that by 30 you get 1,920 add 70 to that and you get 1,990. The reason that 64 is the maximum is because if it were 65 it would go over their budget and if it were below 64 then we wouldn't be getting the greatest number possible.


Related Questions

A museum has scale models representing different time periods in history. A scale in which one inch in the model represents two feet is used to construct the models. The museum's sculptor wants to build a model of an 18-foot-tall tree for one of the exhibits. How tall should she make the model of the tree?

Answers

Answer:

9 in

Step-by-step explanation:

Use ratios:

1 in ⇔ 2 ftx in ⇔ 18 ft

Solve by cross-multiplication:

1/2 = x/ 182x = 18x = 9 in

A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?

Answers

Answer:

The total volume of the glass is 300 cm^3.

Step-by-step explanation:

Let V represent the total glass volume.

Then (4/5)V - (2/3)V = 40 cm^3.  The LCD here is 15, so we rewrite this equation as

(12/15)V - (10/15)V = 40 cm^3, or

(2/15)V = 40 cm^3.

Solve for V by multiplying both sides of this equation by (15/2):

(15/2)(2/15)V = (15/2)(40  = 300 cm^3

The total volume of the glass is 300 cm^3.

2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions

Answers

Answer:

D. infinitely many solutions

Step-by-step explanation:

to find how many solutions the equation have, we can solve it

here's the given equation:

2(2x-3)+6=4x

our goal is to isolate the variable onto one side

do the distributive property shown in the equation (multiply both 2x and -3 by 2)

4x-6+6=4x

combine like terms (add -6 and 6)

4x=4x

subtract 4x from both sides, as we still have the variable on both sides

0=0

0 is always equal to 0; that's an identity

if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions

Answer:

D. Infinitely many solutions.

Step-by-step explanation:

[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]

Answers

I DONT KNOW LOL PLS STOP CHEATING

Line BC is a tangent line to the circle centered at A. If angle BAC is 64 degrees, what is the
measure of angle ACB? Explain/show your reasoning.

Answers

Answer:

Here.

Step-by-step explanation:

Step-by-step explanation:

BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

Step-by-step explanation:

BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

help quick its due in 15 minutes
2(x + 7) =
7th grade math

Answers

Answer:

2x+14

Step-by-step explanation:

2(x+7)

2x+2x7

then you have your answer 2x+14

2(x+7)
2x +14
X+7
This is the answer

!!I WILL GIVE BRAINLIEST!!
A circle is represented by the equation below
(x+2)^2 + (y - 4)^2= 225
Which statement is true?

The circle is centered at (-2,4) and has a radius of 15.

The circle is centered at (2,-4) and has a diameter of 15.

The circle is centered at (2,-4) and has a radius of 15.

The circle is centered at (-2,4) and has a diameter of 15.

Answers

The circle is centered at (−2, 4) and has a radius of 15.

i took the test

A circle represented by the equation (x+2)² + (y - 4)²= 225 is centred at  (-2,4) and has a radius of 15.

The equation of a circle is represented as follows:

Equation of a circle;(x-h)² + (y-k)² = r²

where

(h, k) = centre

r = radius

Therefore, (x+2)² + (y - 4)²= 225 has the following centre and radius.

(x+2)² + (y - 4)²= 15²

Then

(h, k) = (-2,  4)

Therefore, the circle is centred at (-2,4) and has a radius of 15

learn more on circle here: https://brainly.com/question/2416003?referrer=searchResults

Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?

Answers

Answer: the area is affected by crime. He is protective of his money. Both right on edge

Step-by-step explanation:

Answer: a b

Step-by-step explanation:

The diagram below represents a street intersection. The dashed lines are new streets that are being proposed. If the turn represented by

Answers

Answer:

Step-by-step explanation:

If the sales tax in your city is 12% and your item cost $97, how much tax would you pay on that item?

Answers

Answer:

Step-by-step explanation:

11.64

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

B

Step-by-step explanation:

c=a^2+b^2=9^2+40^2=41

HELP me please

It is due in 10 minutes

Answers

Answer:

C, 8 hours

Why?

Because adding the given areas are 2 + 3 + 1 = 6 hours

Now we know that a given fact is that there are 60 minutes in 1 hour.

Let's add the minutes first, 45 + 45 + 30 = 120

120 divided by 60 = 2 hours

Now let's add ALL the areas:

6 hours + 2 hour = 8 hours.

The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52

Answers

Answer:

?

Step-by-step explanation:

Whats the question?

The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.

What is proportionality?

When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.

Given:

A small smoothie will be 16 fluid ounces and sell for $3.52,

Convert the price of the smoothie in cents as shown below,

The price of a smoothie = 3.52  × 100   ($1 = 100 cents)

The price of a smoothie = 352 cents

Calculate the proportionality constant as shown below,

The proportional constant = Fluid / price

The proportional constant = 352 / 16

The proportional constant = 22

Thus, The proportional constant is 22.

To know more about proportionality:

https://brainly.com/question/8598338

#SPJ5

The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.

Need help with work g

Answers

Answer:

21 meters

Step-by-step explanation:

First find the circumference of the tire:

c = πd

c = 3.14(670)

c = 2103.8

Multiply by 10 to find the distance the bike has travelled:

2103.8*10 = 21,038

Convert millimeters to meters:

21,038 millimeters ≈ 21 meters

Answer:

NEEEEEEGAARRRRR

Step-by-step explanation:

please help tysm! ;))))))))))

Answers

Answer:

7 : 1 or 7/1

.........................

7:1 :)))))))))))))))))))))))))))

A fence around a square garden has a perimeter of 48 feet. What is the exact
length of the diagonal of this square garden?

Answers

Answer:

12

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

A) y + 1 = -3 ( x - 7 )

Step-by-step explanation:

I used the Desmos website. Hope this helps.

Answer:

A

Step-by-step explanation:

3x + y = 4

y = -3x + 4

y + 1 = -3(x - 7)

Select the three statements that correctly describe the coordinate system.

Answers

Answer:

I think no 3

if wrong correct me please

pls mark me brainliest

#Captainpower

help pls, i'm stuck on this question

Answers

Answer:

∠x = 60°

Step-by-step explanation:

first:

∠a = 60° was given

the sides on each side of ∠a are equal so their opposite angles are equal also.

The sum of the interior angles of any triangle is 180°

The angles opposite ∠a are (180° - 60°)/2 = 60° each

Second:

∠b = 60° was given

so the angles opposite ∠b are also 60° each

Third:

the 2 angles opposite x are both 60° each because they are both vertical angles to 60°

That leaves ∠x  to be 180° - 60° - 60° = 60°

1/). Help ASAP Find the area of each circle to the nearest tenth

Answers

Answer:

153.9

Step-by-step explanation:

a square tile has width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
16 tiles
8 tiles
4 tiles
1 tile​

Answers

Answer:

16 tiles

Because there are 4 parts in 4/4 and the  if you have 4 of the four parts that is 16.

What are sin 0 and cos 0 for each value of 0?

Answers

Answer:

a. sin 300 = -∛3/2, cos 300 = 1/2

b. sin -225 = √2/2, cos -225 = √2/2

c. sin 5π/6 = 1/2, cos 5π/6 = -3√2

d. sin -4π/3 = √3/2, cos -4π/3 = -1/2

Step-by-step explanation:

See unit circle

The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question

Answers

Answer:

What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.

don't know if this is what you were looking for but I hope this helps.

PLEASE HELP ASAP GIVING 100 POINTS

1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain

2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.

Answers

Answer:

this is so easy like just put variables a in b

Step-by-step explanation:

hope you get it

The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be  the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)

1.) Select all shapes that are quadrilaterals. A D C С B H E G F​

Answers

Abcdefghijklmnopqrstuvwxyz

find the perimeter of the shaded region

Answers

Answer:

13 u²

Step-by-step explanation:

i need this answered

Answers

Answer:

69 pi is your answer.

To get the area you have to multiply (W times L)
6 x 10 is 60

How many 4 digit multiples can not be divided by 5

Answers

Answer:

1800

Step-by-step explanation:

Let us solve this question by Modular Airthmatic.

Let the lowest 4 digit number be X.

X= 1 (mod 5)

X =2 (mod 5)

X=3 (mod 5)

X =4 (mod 5)

X=1+5 t where t is any integer.

1+5 t=2 (mod 5)

5 t=1 (mod 5 )

5 is the Modular Inverse of modulo 5

t=1 (mod 5)

t =1+5 u : u= any integer.

X becomes 1+ 5 (1+5u )=6+25 u

6+25u =3 (mod 5)

25 u= -3 (mod 5)=2 (mod 5)

25 is Modular Inverse of Modulo 5

u=2 (mod 5)

u =2+5 v : v= any integer.

X becomes 6 +25 (2+5 v)=56+125 v .

56 +125 v=4 (mod 5)

125 v=-52 (mod 5)=3 (mod 5)

125 is Modular Inverse of modulo 5

v = 3 (mod 5)

v =3 +5 w where w is any integer.

For lowest 4 digit number, take

w=200

X=1003 : Lowest 4 digit number.

Take w=201

X=208 : Next number.

For 4 digit largest number, take

w=1995

X= 9978 : Largest number.

No. of Numbers =(1995 - 200 )+1=1800 □Ans.

Answer:

1800 ways.

Step-by-step explanation:

Please help I really need it now!!!

Answers

Answer:

d. alternate interior angles are congruent

6. Check whether the following numbers are perfect square or not, by expressing each as the sum of
odd numbers
a. 91
b. 196
Plz help me

Answers

I think the answer is A I hope you have a wonderful day
B. 196

Hope this helps :))
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