James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have
budgeted $4,000 for their reception. If the reception hall charges a $50 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer 1

Answer:

They can invite at max 112 people.

Step-by-step explanation:

4000 - 50 = 3950

3950 / 35 = 112.85 (Can't round up to 113 because then it will go over their budget), so you will get 112 people.


Related Questions

At the math store, one circle costs one amount, and each square costs another amount. 5 circles plus one square is 20 cents. How much would 12 circles plus 5 squares cost?

Answers

Answer: 61 cents

Step-by-step explanation:

Let’s assume a circle is X and a square is Y.

The problem states:

5x + 1y = 20

2x + 3y = 21

Taking the 1st equation we can see that

1y = 20-5x which is the same as

y = 20–5x

If we replace y in the 2nd equation with the above we get:

2x + 3(20–5x) = 21

which is the same as

2x + 60 - 15x = 21

we can rearrange to get

2x -15x = 21 -60

which is the same as:

-13x = -39

therefore x = -39/-13 or

x = 3

We can then calculate y

If y = 20–5x, then y = 20 -15

There y = 5

So to answer you question, 12 circles plus 5 squares =

12x + 5y = 12(3) + 5(5) = 36 + 25 = 61 cents

hope this helps

[4]
(b) Consider two spheres of radius R = 1 with a separation d
between their centres (see figure below). Use spherical
coordinates to compute the volume, V(d), of the intersection
as a function of d. Sketch the function V(d) and explain why
V(O) = n and V(2) = 0. (You can use the formula for the
volume of a cone without derivation.)
xy plane

Answers

Answer:

Follow Sammy Revv on Spotify and you'll get a 100% on your test

Step-by-step explanation:

If an x-coordinate repeats, can a relation still be a function?

I need help right now

Answers

Answer:

No

Step-by-step explanation:

if you see any duplicates or repetitions in the x-values, the relation is not a function.

The volume of a sphere depends on its radius, so the volume is a function of the radius. If this function is called V(r), use the formula below to compute V(4), the volume of a sphere with a radius of 4 units.

Answers

Answer:

the volume of a sphere with a radius of 4 units.

=4/3πr³=4/3×π×64 is your answer

4x ^ 2 + 300 = 1, 596 help solve for the x please show work I will mark brainliest

Answers

Answer:

x=18 OR x=-18

Step-by-step explanation:

[tex]4x^2=1296\\x^2=324\\x=+-sqrt(234)\\x=18 OR x=-18[/tex]

What is the circumference of a circle having a radius of 56 mm

Answers

Answer:

The circumference is 351.68 millimeters or 352 millimeters.

Step-by-step explanation:

The formula to find the circumference of circle is 2 * pi * radius.

Applying Circumference Formula: 2 * 3.14 * 56 = 351.68 millimeters.

If you need to round to the nearest hundredth, the answer would be

352 millimeters.

I think this is correct, please don't hate me if I'm wrong. ;D

Help anybody? If so thanks

Answers

Acute angle and a right angle makes a obtuse I learned this in 4th

What two numbers make on thousand

Answers

Answer:

500 and 500

Step-by-step explanation:

Find the surface area of the prism.

Answers

Answer:

386

Step-by-step explanation:

Find the area of this LEVEL 1 shape

Answers

Answer:

[tex]46 cm^{2}[/tex]

Step-by-step explanation:

Split the shape into two like in the picture shown below. Then, you can find the area of the two shapes separately, and then add them together the two area together. So by following the picture I below, you would do:

[tex]5*2=10\\6*6=36\\10+36=46[/tex]

dump truck can carry 8 tons. How many pounds can the dump truck carry

Answers

Answer:

16000 pounds.

Step-by-step explanation:

A ton is 2000 pounds, so multiply that by 8.

Six years ago Matt was four times as old as Brown, and in 3 years the sum of their ages will be 43 years. Find their present ages.

Answers

Answer:

matt=26 brown=11

Step-by-step explanation:

use ur brain and do it backwards or look at the guy above me

Please help im running out of time:(

One train is traveling 120 m with a velocity of 52 km/h and a
second train is traveling in the opposite direction with a
velocity of 20 km/h. How long will it take for them to
completely pass one another?

Answers

Answer: It took the train 11 s to completely pass the other.

11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.

What is distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

One train is travelling 120 m with a velocity of 52 km/h.

A second train is travelling in the opposite direction with a velocity of 20 km/h.

Here, the length of the second train is not given:

We are assuming the length is 100 m

Relative velocity = 52+20 = 72 km/h = 20 meter/seconds

Total distance: = 120 + 100 = 220 m

The time = 220/20 = 11 seconds

Thus, 11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ2

What is the median for the set of data shown below 45 23 16 78 24

Answers

Mean -37.2
Median -24
Mode 45, 23, 16, 78, 24

I don't know how to do this. Any help?

Answers

Answer:

cos 37=x/b (second one)

sin 37= a/b (third one)

tan 37=a/x (sixth one)

Step-by-step explanation:

Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.

1. Find the area
13 ft
3 ft

Answers

Answer: you just need to do A=bh

Step-by-step explanation:

So you need to multiply the base by the height

Find the MEAN
Sandra's scores on the first 5 tests were 87%, 92%, 76%, 92%, and 89%.

Answers

Answer:

87.2

Step-by-step explanation:

Add them all up and divide by how many scores.

Please help me solve 8=11x+2

Answers

Answer:

6/11

Step-by-step explanation:

What is the measure of Q?

Answers

Answer:

<Q = 30

Step-by-step explanation:

2x + 70 + x - 10 = 180

3x + 60 = 180

3x = 120

x = 40

x - 10

40 - 10

30

<Q = 30 because of vertical angles

The measure is 30 good luck!!!!! Hope it’s right

HELPPPPPPP PLZZZZ I DONT GET IT

Answers

Answer:

See below

Step-by-step explanation:

[tex]1) \: \frac{1}{2} \times 5 \times 6 = 15 \: {cm}^{2} \\ \\ 2) \: \frac{1}{2} \times 10 \times 6 = 30 \: {cm}^{2} \\ \\ 3) \: 5 \times 3 = 15 \: {cm}^{2} \\ \\ 4) \: 10 \times 6= 60\: {cm}^{2} [/tex]

Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.

PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

Answers

Answer:

Step-by-step explanation:

Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.

PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

2p – 194.99 = 284.97

Answers

If solving for p, it is 239.98 bc when 284.97+194.99, 2p=479.96

What is the range?
The range is
2 3
4
4
5
6
7
8.
9 10

Answers

Answer:

8

Step-by-step explanation:

Evaluate the expression when a = 6 and x = -3.
-a+7x

Answers

So when you plug it in it would be -6+(-21) you solve it and your answer would be -27

Which expression is equal to 1/6? *

Answers

Answer:

I think that 1÷6 as the same as 1/6

Whats is -100+500 you get it ok

Answers

Answer:

400 pick mine as Brainlest

Step-by-step explanation:

Answer:

It is 400

Step-by-step explanation:

If you reverse it to make it easier on yourself.

500-100 =400


Write 44/5 as a mixed/whole number.


Write 12/3 as a mixed/whole number.

Write 5/5 as a mixed/whole number.

Write 15/7 as a mixed/whole number.

Write 1/4 as a mixed/whole number.

Answers

44/5 is 8 and 4/5
12/3 is 4
5/5 is 1
15/7 is 2 and 1/7
1/4 is 1/4

Answer:

12/3=4

5/5=7

15/7=2+1/7

1/4 is a proper fraction

Only improper fractions can be converted to mixed/whole number

Step-by-step explanation:

A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the
five numbers to be 18?
08
12
18
26

Answers

Your answer is 26.

We have to go at this kind of backward.

We find the average by adding up the numbers, then dividing by how many numbers we have.

In this example, we will have 5 numbers...so
x divided by 5 = 18

x/5 = 18
x = 90

The sum of all 5 numbers is 90, so then subtract the 4 numbers you already know to find the one you’re missing. (We’ll call it n)

90 - 8 - 12 - 18 - 26 = n

90 - 64 = n
n = 26

Please let me know if you have any questions.

interval of [0⁰,360⁰]


3 sin² tan 0-3 sin²0 = 0


20 points​

Answers

Answer:

 

θ=41.3∘,138.7∘,221.3∘,318.7∘ Explanation: 3sin2θ−10(1−2sin2θ)=0 23sin2θ−10=0 s

Step-by-step explanation:

If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?

Answers

Answer:

-8,-5

Step-by-step explanation:

8,5 because the "m" is 5 squares down and 8 squares to the right.

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