The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50
a) Write an algebraic expression equation for the total cost of the wedding.
b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.

Answers

Answer 1

Answer:

a) 45.50p + 500

b) 45.50p + 500 = 3912.50

p = 70

Step-by-step explanation:

p = number of people

$45.50 for a meal for each person, so:

45.50p

The constant is $500, so let's add that to the expression:

45.50p + 500


Related Questions

What is the surface area of a cone that has a radius of 5 units and a height of 10 units?

Answers

235.5 units^2 or 75π

Here is why:

The formula for the surface area of a cone is...

[tex]SA=\pi r^2+\pi rl[/tex]

Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.

[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]

[tex]SA=78.5+157[/tex]

[tex]SA=[/tex]

235.5

Now that we have the approximate answer, we will find the exact answer or the answer in pi.

[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]

[tex]SA=25\pi +50\pi[/tex]

[tex]SA=[/tex]

75π

~

The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.

PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE GREATEST THAT I SAW BEFORE THIS ONE SO JUST ANSWER IT TRY TO DO A SWIMMING RELATED ONE YA THX

Instructions:

Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:

Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.

Write the inequality and show all work to solve the inequality.

Graph the solution to your inequality-ON A NUMBER LINE

Explain what your solution means in the context of the problem.

Answers

Answer and Explanation:

Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?

This problem can be represented by  [tex]3x+3\leq 30[/tex].

'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

[tex]3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}[/tex]

So, Gina would have a maximum of 9 hours to swim in the pool.

Hope this helps.

Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x = -9 + y
-6x + 11y = 19

Answers

Answer:

Brainliest here!

Step-by-step explanation:

Solve using a online calculator

(-16,-7)

Answer:

x= -16, y= -7

Step-by-step explanation:

x= -9+y

-6x+11y= 19

---------

-6(-9+y)+11y=19

54-6y+11y=19

54+5y=19

5y= 19-54

5y= - 35

y= -35/5

y= -7

x= -9+(-7)= -16

Work out the size of angle x and give reasons for your answer. Image attached.

Answers

Answer:

The answer of X would be 80°.

<FBD+100=180 (Co interior angle)

<FBD= 80

X= <FBD = 80° ( Being alternate angle)

What is the result of subtracting the second equation from the first?
-2x+y=0
7x+3y=2

Answers

Answer:

5x -2y = -2

Step-by-step explanation:

-2x+y=0

-7x+3y=2

Subtract the second equation from the first

-2x+y=0

7x-3y=-2

------------------

5x -2y = -2

Please help asap!!
Graph (x, y): x + 2y 6

Answers

The answer is (, )=(6−2, )

A family pays $8.00 to park at a concert. Tickets for the concert cost $13.50 per person. The family spent a total of $89.00 for parking fees and tickets to the concert. The situation can be modeled by the equation 89 = 13.5n + 8, where n represents the number of tickets purchased. How many concert tickets did the family purchase? Tickets=

Answers

Answer:

n=6

Step-by-step explanation:

13.5n + 8 = 89

13.5n = 89 - 8

13.5n = 81

13.5n/13.5 = 81/13.5

n = 6

I hope this helps

Answer:

n=6

Step-by-step explanation:

i did it on edg 2020

Can someone plz help me I really need it ASAP help me with this problem !

Answers

Answer:

-6x

check the attachment i provided

Step-by-step explanation:

[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]

Answer:

-6x

Step-by-step explanation:

All you have to do is subtract the constants, because the variable is going to be there always

3х - Зу = 0
4 х - у = 21 what's the solution???​

Answers

Answer:

x = 7

y = 7

Step-by-step explanation:

So from this we can pull that x, y = pos

pos so 3(x) = 21

x= 7

Same

7, 7

x = 7, y = 7

Hope this helps!

Type the correct answer in the box. If necessary, use / for the fraction bar. Give your answer in reduced form.
A card is drawn at a random from a well-shuffled deck of playing cards. The probability that the card drawn is an ace or a red card is

Answers

Answer:

37.5% chance

Step-by-step explanation:

well if there are 52 card in a deck and 4 aces.

the probability that it will be red is 50%. As half of the cards are red and the other half is black. the probablility it wil be an ace is 25%. so finding the middle of those would be 37.5%

Answer:

It says an ace or a red card. Red cards have a  50% chance plus 2 black ace cards 26 cards is half red plus 2 28/52 Answer Reduces to: 7/13

Step-by-step explanation:


Which of the following describes the growth rate of the exponential function in the graph below?

For each x increase of 1, they increases by a common difference of 3.
For each x increase of 1, the y increases by a common factor of 3.
For each x increase of 1, the y increases by 4 more than the previous increase.
For each x increase of 1, they increases by doubling and then adding 1.

Answers

Answer:

For each x increase of 1, the y increases by a common factor of 3. (second answer listed)

Step-by-step explanation:

Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.

Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:

[tex]f(x)=a\,\,b^x[/tex]

to be called exponential.

So every time that x increases by one unit, the following happens:

[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]

So notice that the original function ends up being just multiplied by the common factor "b".

The other options don't describe such behavior.

Answer:

For each x increase of 1, the y increases by a common factor of 3.

Step-by-step explanation: hope it helps ^w^

The solutions of a quadratic equation is 8 and 2. What is the quadratic equation?


(i need help now)

Answers

Answer:

x² - 10x + 16 = 0

Step-by-step explanation:

Given the solutions x = 8 and x = 2 , then the factors are

(x - 8) and (x - 2) and the equation is

(x - 8)(x - 2) = 0 ← expand left side using FOIL

x² - 10x + 16 = 0

In a sale all prices are reduced by 10% .What is the sale price of an article marked AED 75.

Answers

Answer:

67.5

Step-by-step explanation:

When you calculate the 10% of AED75, it is equal to AED7.5Then you subtract AED7.5 from AED75 which is AED67.5

what is being displayed ?

Answers

Answer: The answer is (2)

Just evaluate the functions with the values of the figure

[tex]5x^{3} * 2x^{2}[/tex]

Answers

Steps to solve:

5x^3 * 2x^2

~Apply exponent rule

5x^3+2 * 2x

~Simplify

5x^5 * 2x

~Combine like terms

10x^5

Best of Luck!

Find the surface area of the polyhedra
pls!! show how you got the surface area ​

Answers

Answer:

384m^2

Step-by-step explanation:

surface area of cube = area of 1 side x 6

area of 1 side = 64m^2

so, surface area = 64 x 6 = 384m^2

Please mark brainiest

The answer I think is 20

solve for x
possibly answer

12
-7
5
-6​

Answers

Answer:

12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees

Please answer correctly !!!!!!! Will mark brianliest !!!!!!!!!!

Answers

Answer:

22

Step-by-step explanation:

[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]

Hope this helps!

Escribe una ecuación en la forma pendiente interceptó para la línea descrita
Ejemplo 1: pendiente 1.5 , pasa por (0,5)

fórmula y=mx+b


Ayuden por favor

Answers

Answer:

Pendiente-Intercepto:

pendiente = 1.5, intercepto = 5

Ecuacion: y = 1.5x+5

A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 centimeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder?

Answers

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

Rewrite 6/4 as a percent. Make sure to label your answer with %.

Answers

Answer:

to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator


There are 15 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out
the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?

Answers

The number of ways can the teacher assign out is 75.

Given that,

There are 15 students in a kindergarten class.The following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board.

Based on the above information, the calculation is as follows:

[tex]= 15\times 5[/tex]

= 75

Therefore we can conclude that The number of ways can the teacher assign out is 75.

Learn more: brainly.com/question/17429689

The product of Chau's height and 5 is 70.

Answers

Answer: 14

Step-by-step explanation: chau's height = x

x * 5 =70

5x = 70

x = 70/5

x = 14

A non-standard (but still fair) die has sides 2, 3, 5, 8, 12, 15, 18 and 20. What is P(roll an odd number)?

Answers

I rolled an odd number and it was 17

What is the lcm of 150 and 180

Answers

Answer:

900

Step-by-step explanation:

multiply 2x2x3x3x5x5

4x9x25 which is 900

There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.

Answers

Answer:

The answer is: 12 total candies

Step-by-step explanation

c = caramel-flavored

s = strawberry-flavored

so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.

What is the value of x in the equation 1x - y = 30, when y= 15?

Answers

Replace y with 15

The equation is now:

1x - 15 = 30

Add 15 to both sides:

1x = 45

Divide both sides by 1

X = 45

Answer: X = 45

Step-by-step explanation:

1x - 15 = 30

add 15 to both sides

1x = 30 + 15

1x = 45

then you have to seperate the 1 from the x, so divide 1 from both sides

45 divided by 1 = 45

so the answer is x = 45


A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form

Answers

Answer:

Step-by-step explanation:

Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

d² = 10² + 10² = 200

d = √200 = 14.14cm

Formula for finding the volume of a sphere is expressed as

Volume = 4/3 × π × r³

Radius of sphere = diameter/2 = 14.14/2 = 7.07cm

Volume = 4/3 × π × 7.07³ = 471.19π cm³

Part 1
Find the surface area of one box.

The surface area is
62(answered)
square inches.


Part 2
Find the total surface area of 100 boxes.

The total surface area of 100 boxes is
6,200(answered)
square inches.


Part 3 out of 3
One can of paint will cover 14,000 square inches. How many cans of paint will Yolanda need to buy?

Yolanda will need to buy (blank)
cans.

Answers

1 because 14000=1 can which is greater than 6200. He can’t buy parts of a can so he will have to use the whole can with some left to spare.

Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p

Answers

Answer:

all the statements are true

Step-by-step explanation:

The acute triangle is the triangle in which all the angles are less than 90°

While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle

Given that

p = Acute triangle

q = equilateral triangle

Based on the above explanation

The conditions are as follows

p ∨ q is  true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true

p ∧ q is also true, the ∧ refers that both the statements should be true.

The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows

The last means equal and is valid if both p and q are the same as they are, so that is true too.

Hence, all the statements are true

Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)

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