Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $500 plus $25 for each guest. Company B charges a set up fee of $200 dollars plus 30per guest. How many guests are need where the price is equal

Answers

Answer 1

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.


Related Questions

Kevin uses 2/3 cup of flour to make 2 servings of biscuits. How many cups of flour are there per serving?

Answers

[tex] \frac{2}{3} \: cups = 2 \: serving[/tex]

[tex] \frac{ \frac{2}{3} }{2} \: cups = \frac{2}{2} \: serving[/tex]

[tex] \frac{2}{3 \times 2} \: cups = 1 \: serving[/tex]

[tex] \frac{2}{6} \: cups = 1 \: serving[/tex]

[tex] \frac{1}{3} \: cups = 1 \: serving[/tex]

So, there are ⅓ cups of flour in one serving.

Thank you.

During a normal day, there are 280 planes taking off the airport, but the airport is a lot busier during Christmas. During the Christmas holidays, about 336 planes take off everyday from the airport

Compared with a normal day, how many more passengers depart from
the airport in a day during the Christmas holidays?

Answers

Answer:

56

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

we dont know how many people are in each plane but based on the average it should be this

what does y=-(7)/(2)x+5 look like on a graph.

Answers

Answer:

Here you go buddy.

Why is 4 + (-3) equal to 1?

Answers

This is because 4+(-3) is also 4-3. So that equals 1

Step-by-step explanation:

4+(-3)=1

because when you open brackets + and - will be -, so 4-3=1

Point S is on line segment RT. Given ST = 3x

= 3x – 8, RT = 4x, and

RS = 4x 7, determine the numerical length of RT.

Answers

Answer:

RT = 20

Step-by-step explanation:

Given that,

Point S lies on the line segment RT.

We have, ST = 3x-8, RT = 4x and RS = 4x-7

It is clear that, RT = RS+ST

Putting the values, we get :

4x = 4x-7 + 3x-8

Taking like terms together,

4x-4x-3x = -7-8

-3x = -15

x = 5

Put the value of x in RT = 4x.

So,

RT = 4(5)

RT = 20

Hence, length of RT = 20.

(HELP) The point (- 8, - 2) is on the parent graph below. Where will it be on the transformed graph?

Answers

Answer:

   x=[tex]\frac{y2 }{9}[/tex]

Step-by-step explanation:

2nd step: [tex]3\sqrt{x}=y[/tex]

third step: [tex]\frac{3\sqrt{x} }{3} = \frac{y}{3}[/tex]

fourth step: [tex]\sqrt{x} =\frac{y}{3}[/tex]

answer:    x=[tex]\frac{y2 }{9}[/tex]



One number is 28 less than another number. If the sum of the two numbers is 92, find the two numbers.

Answers

Answer:

The two numbers are 32 and 60.

Step-by-step explanation:

We can create two simultaneous equations to solve this problem using the information given in the question.

Let number 1 = x

Let number 1 = y

x = y - 28 -> ( 1 )

x + y = 92 -> ( 2 )

We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier option.

Substitute ( 1 ) into ( 2 ):

x + y = 92 -> ( 2 )

( y - 28 ) + y = 92

2y - 28 = 92

2y = 120

y = 120 / 2

y = 60 -> ( 3 )

Substitute ( 3 ) into ( 1 ):

x = y - 28 -> ( 1 )

x = ( 60 ) - 28

x = 32

Therefore:

x = 32 , y = 60


Look at the pattern below.

6, 12, 18, 24, 30, 36

What characteristics of this pattern are true?

All the numbers have 4 as a factor.
All the numbers are composite.
All the numbers are a multiple of 3.
All the numbers are divisible by 2.

Answers

All the numbers are composite, multiples of 3, and divisible by 2.

Answer:

Step-by-step explanation:

4,3,2

A balloon is flcating 10 feet above the ground. How
far does the balloon need to drop to reach the
ground?

Answers

Answer:

10 feet

Step-by-step explanation:

if it is 10 feet above and needs to touch the ground it needs to drop that same amount

Answer:

10ft.

Step-by-step explanation:

if the balloon is floating 10ft from the ground the it can only drop 10ft to reach the ground.

*hope this helps. please give me brainliest, i only need four more *

Sue weighed 82 kg at the start of the year, but she has lost weight at a consistent rate because she has been diligent with her exercise and diet plan. Sue weighed herself at the end of each month and tracked her progress for the full year using the graph above. How much weight did Sue lose each month? Question 5 options: A) 4 kg B) 2 kg C) 3 kg D) 1 kg

Answers

Answer:

Option (B)

Step-by-step explanation:

Sue's weight at the start of the year = 82 kg

Sue weighed herself at the end of every year, so that the straight line on the graph shows the gradual reduction in the weight every month.

Slope of the line will describe the reduction in the weight per month.

Let the two points on the given line are (1, 80) and (11, 60).

Slope of the line will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{60-80}{11-1}[/tex]

   = -2 kg per month

(Here minus sign denotes the reduction of weight per month)

Option (B) will be the answer.

Answer:

2 kg

Step-by-step explanation:

9,000 is blank as 900

Answers

What do u mean I did not understand what your saying 0.0 i don’t think this is math :o

Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76 cm^2. Write the answer to two significant figures.

Answers

Answer:

12cm^2

Step-by-step explanation:

Area of a rectangle = Length × Width

Length = 5.6cm

Width= 2.1cm

Area of the rectangle = Length × Width

= 5.6cm × 2.1cm

= 11.76 centimeter square

Area of the rectangle = 11.76 centimeter square

Answer to two significant figures

There are two figures before the decimal and two figures after the decimal

Since, the question asked us to 2 significant figures, then we will focus on the two figures before the decimal point.

11.76

Using .76 round 11 to the nearest whole number

We have,

12 centimeter square

12cm^2

What number is 0.1 less than 173.89

Answers

Answer:

173.79

Step-by-step explanation:

173.89 - 0.1 you move to the decimals place then remove that number once

The number 173.79 is 0.1 less than 173.89

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find how less is 0.1 than 173.89

In words zero point one is less than One hundred seventy three point eight nine.

To find this we have to use subtraction operator or difference.

Subtraction is an operation that represents removal of objects from a collection

Subtract 0.1 from 173.89

173.89-0.1

We get 173.79

Hence, the number 173.79 is 0.1 less than 173.89

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

PLEASE HELP I WILL MARK YOU AS BRAINLEIST IF YOU GET THIS RIGHT ! ! !

Answers

Answer:

(-8, 2)

Step-by-step explanation:

Count 4 units to the right.

(-8,2) is the answer to your question :)

The price-demand equation for gasoline is 0.3d + 4p = 80, where p is the price per gallon in dollars and d is the daily demand measured in millions of gallons. Write the demand d as a function of price What is the demand if the price is $ 8 per gallon?

Answers

Answer:

The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

The demand if the price is $ 8 per gallon is 160 millions of gallons.

Step-by-step explanation:

You know that the price-demand equation for gasoline is 0.3d + 4p = 80

To write demand d as a function of price p, you must solve for or isolate demand d, remembering that:

All the terms that are multiplying on one side, go to the other side of the equality by dividing, and those that are dividing go to the other side of the equality by multiplying. The terms that are adding go to the other side of the equality by subtracting and those that are subtracting go to the other side by adding.

So:

0.3d + 4p = 80

0.3d = 80 - 4p

[tex]d=\frac{80 - 4p}{0.3}[/tex]

[tex]d=\frac{80}{0.3} -\frac{4p}{0.3}[/tex]

[tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

To determine how much is the quantity demanded if the price is $ 8 per gallon, you simply plug that value into the previously determined expression and perform the corresponding calculations:

[tex]d=\frac{800}{3} -\frac{40*8}{3}[/tex]

[tex]d=\frac{800}{3} -\frac{320}{3}[/tex]

d= 160

The demand if the price is $ 8 per gallon is 160 millions of gallons.

4.56 natural numbers or a whole numbers integers rational numbers Irrational numbers or real numbers ​

Answers

Answer:

it is rational number

Step-by-step explanation:

Decimals are not natural and whole numbers.

irrational numbers cannot be expressed by fraction but this question can be experssed by decimal so it is rational number not irrational

hope u like it ❤❤❤

For any question comment me

please help me on this​

Answers

Savings account, retirement savings, value of second car, balance in checking account i believe those are the only ones not positive though

The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is what

Answers

Answer:

"abscissa"

Step-by-step explanation:

The first number in an ordered pair of numbers in a coordinate system is generally called abscissa.

Answer:

x value is the correct answer

Step-by-step explanation:

I just took the test 2021 thank me later

Pls answer fast Y=Mx+b for x And Y=Mx+b for m Shoe steps

Answers

Answer:

1. x= y/m - b/m

2. m= y/x - b/x

Step-by-step explanation:

hope this helps.

Bill has $6 more than Ted. Together they have $32. Write two equations and then solve for the amount of money that bill has.

Answers

Answer: Bill Has 19$

Step-by-step explanation:

11. The shadow of a 10 m high pole is 6 metres. Find
the shadow of a 15 m high pole at the same time
of the day.​

Answers

Answer:

25m

Step-by-step explanation:

10/6 = length of shadow per metre of pole

so 15 x 10/6 = shadow of 15m high pole

150/6 = 25m

Help me please because of the points

Answers

Answer:

C

Step-by-step explanation:

Because the dolphin increases his elevation, the amount he increases is added to the original elevation to get the second elevation.

Therefore:

-16 3/4 + 5x = -5 1/4

This option is not in the options but if we rearrange the left side from

- 16 3/4 + 5x

to:

5x - 16 3/4

We get the last option C.

Hope this helped!

Jeremiah buys 6.5 pounds of ground beef at the grocery store. Ground beef costs $5.50 for one pound. How much does Jeremias spend?*

Answers

Answer:

35.75

Step-by-step explanation:

6.5 times 5.50 = 35.75

or

5.50+5.50+5.50+5.50+5.50+5.50=35.75

How to eat hotdog thank you

Answers

Answer:

1.Toast your hot dog bun if you like.

2.Grab pan with little bit of water

4.Place hotdog and cook until chang color on both sides

5. Place a cooked hot dog inside the bun.

6.Add sauces.

6.Put on chunky condiments next.

7.Top it with cheese if you like.

8.Finish the dog with your favorite spices.

9. Put the assembled hot dog on a plate.

10.Serve your favorite snacks on the side.

p: student achieves 90 percent on the geometry final. q: student will receive a passing grade in geometry class. Which statement is logically equivalent to q → p?

Answers

Answer:

if a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class

Step-by-step explanation:

Consider the Line L(t) = <2+t,5-4t>. Then L intersects:

The x- axis at the point (3.25,0) when t = 5/4

The y- axis at the point (0, 13) when t = -2

The parabola y = x^2 at the points ___ and ___ when t = ____ and ____

Answers

Answer:

The parabola [tex]y=x^{2}[/tex] at the points [tex](-2+\sqrt{17},21-4\sqrt{17})[/tex] and [tex](-2-\sqrt{17},21+4\sqrt{17})[/tex] when [tex]t=t_{1}=-4+\sqrt{17}[/tex] and [tex]t=t_{2}=-4-\sqrt{17}[/tex]

Step-by-step explanation:

We have the following line written in parametric form :

[tex]L(t)=(2+t,5-4t)[/tex] with [tex]t[/tex] ∈ IR.

In order to find the intersection between [tex]L(t)[/tex] and the parabola [tex]y=x^{2}[/tex] we know that ''[tex]2+t[/tex]'' is the x-coordinate of the line and ''[tex]5-4t[/tex]'' is the y-coordinate of the line. Now, to solve this problem we need to find the values of ''[tex]t[/tex]'' in which the intersection occurs. We can do this by replacing the components    ''[tex]x[/tex]'' and ''[tex]y[/tex]'' of [tex]L(t)[/tex] in the equation of the parabola ⇒

[tex]L(t)=(2+t,5-4t)[/tex] = ( x component , y component ) = ( x , y ) ⇒

In the parabola : [tex]y=x^{2}[/tex] ⇒ [tex]5-4t=(2+t)^{2}[/tex]

Solving the equation we find that :

[tex]t^{2}+8t-1=0[/tex]

Using the quadratic formula with

[tex]a=1[/tex] , [tex]b=8[/tex] and [tex]c=-1[/tex]

We find that the two possible values for t :

[tex]t_{1}=\frac{-b+\sqrt{b^{2}-4ac}}{2a}[/tex]     and  [tex]t_{2}=\frac{-b-\sqrt{b^{2}-4ac}}{2a}[/tex]

are [tex]t_{1}=-4+\sqrt{17}[/tex] and [tex]t_{2}=-4-\sqrt{17}[/tex]

This values [tex]t_{1}[/tex] and [tex]t_{2}[/tex] are the values of the parameter t where the line intersects the parabola so we can find the points by replacing the values of the parameter in the equation [tex]L(t)[/tex] :

[tex]L(t_{1})=(-2+\sqrt{17},21-4\sqrt{17})[/tex] and

[tex]L(t_{2})=(-2-\sqrt{17},21+4\sqrt{17})[/tex]

The final answer is

The parabola [tex]y=x^{2}[/tex] at the points [tex](-2+\sqrt{17},21-4\sqrt{17})[/tex] and [tex](-2-\sqrt{17},21+4\sqrt{17})[/tex] when [tex]t=t_{1}=-4+\sqrt{17}[/tex] and [tex]t=t_{2}=-4-\sqrt{17}[/tex]

Burgers come in packs of 10. The cost of 10 burgers is £3.45. How much does 1 burger cost?

Answers

Answer: 1 burger = £0.345

Explanation:

10 burger = £3.45
1 burger = £3.45/10
1 burger = £0.345

Point a is at (2,-8) and point c is at (-4,7). Find the coordinates of point b on ac such that the ratio of ab to bc is 2:1

Answers

Answer:(-2,2)

Step-by-step explanation:

If I have a 10 ft PVC pipe,how many 11/5 cuts could I make out of it?

Answers

Answer:

80

Step-by-step explanation:

36) A contractor built a square hall having
an area of 4489 m2. How long is the hall?​

Answers

Answer:

area of square = l²= 4489m²

l=√4489 = 67m

Step-by-step explanation:

2.02 into 10 raised to 7 is the answer

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