A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.​

Answers

Answer 1

Answer:

x<=160

Step-by-step explanation:

Step one:

given data

Charges= $400

Additional charges= $7.5 per guest

let the number of guests be x

let the total cost be y

the model for the situation is given as

y=mx+C

Step two:

given that y=1600

we can solve for x as

1600=7.5x+400

1600-400=7.5x

1200=7.5x

divide both sides by 7.5 we have

x=1200/7.5

x=160

Therefore the expected guest should not be more than 160

x<=160


Related Questions

can someone find the x for -3x + 1 = 169

Answers

Answer:

x = -56

Step-by-step explanation:

-3x + 1 = 169

      -1       -1

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

-3x = 168

Divide both sides by -3. 168/-3 = -56

x = -56

Answer:

Your answer is: x = -56

Step-by-step explanation:

Hope this helped : )

2) Caculate the unit rate. Paying $28 for 8 pounds of pears. What is the cost per pound of pears?

Answers

Answer:

28/8=3.50

Step-by-step explanation:3.50 per pear.

solve n in the proportion

Answers

n = 6 hope this helps

Answer:

6

Step-by-step explanation:

3*18 is 54 and 54/9 is 6 so n=6

how do u solve it i know its a parallelogram ​

Answers

Answer:

x = 70

Step-by-step explanation:

In this picture, 139 and (7x-1) are on opposite sides of each other, meaning they are equal to each other. To solve for x, just make them equal to each other first.

1. 7x-1 = 139

2. Add 1 to both sides to isolate 7x.

7x = 140

3. Divide both sides by 7 to isolate x.

x = 70

4. Your answer is 70.

Hope this helped!

Name all the angles that have V as a Vertex​

Answers

Answer:

Step-by-step explanation:

An angle is formed by joining two rays or two lines meeting at a point.

Common endpoint is called the vertex of the angle.

From the picture attached,

Three rays VJ, VI and VH are meeting at a common point V.

Therefore, angles formed at the common vertex V are,

Angle between ray VJ and VI,

(∠5 or ∠JVI)

Angle between ray VH and VI

(∠6 or ∠HVI)

Angle between ray VJ and VH

∠JVH.

-3/2 - 3/8 simplest form.

Answers

Answer:

The answer is -15/8

Step-by-step explanation:

−3/2 − 3/8

= −3/2 − 3/8

= −3/2 + −3/8

= −12/8 + −3/8

= -15/8

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $5. What is the regular price of the mirror?

Answers

Answer:

25 dollars

Step-by-step explanation:

If 20 percent of the initial price was 5, you can create the equation:

0.2x=5, with x being the regular price.

Multiply both sides by 5:

x=25

Answer:

25$

Step-by-step explanation:

20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5

5 times 5 is 25

25$ was the original price

a rain barrel can hold 50 gallons of water if there are 32 gallons inside of it, what percent of the barrel is full?

Answers

Answer:

64%

Step-by-step explanation:

Answer:

The answer is 64%

Step-by-step explanation:

What does the number 2 mean above the 3?
3^{2}

Answers

Answer:

The exponent

Step-by-step explanation:

The two is the exponent because of the little arrow thing.

1/7+ 2 4/7
Help help now

Answers

Answer:

2 5/7

Step-by-step explanation:

Justin is on a road trip. Over the past two days, he’s driven a total distance of 504 miles at an average speed of 56 miles/hour.

If Justin drove two hours today, he drove ___
miles yesterday. (The answer uses absolute value so its not 7).

Answers

i would say 112 miles

please help ! will mark brainly-ist if it is an accurate answer.

Answers

Answer:

x = 5

I hope this helps!

answer this. will give brainliest.

Answers

Answer:kk

 

Step-by-step explanation: kk i cant dee nun

PLZ HELP WILL MARK BRAINLIEST

Answers

Answer:

c or d but im pretty sure its C

Step-by-step explanation:

Please find X. I need help!

Answers

There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have

2/3 = (2 + x) / (3 + (x + 7))

Solve for x :

2/3 = (2 + x) / (10 + x)

2 (10 + x) = 3 (2 + x)

20 + 2x = 6 + 3x

14 = x

Factor the expression completely. 14x^5 - 2x^2

Answers

Answer:

  2.    3

2x(7x.  - 1)

Step-by-step explanation:

if |x| =3, what is the value of x?

Answers

Answer:

x can be -3 or 3

Step-by-step explanation:

The absolute value of x is three, so the distance from zero is 3. That means it could be positive or negative so -3 or 3

The graph of g is a vertical stretch by a factor of 4 and a reflection in the x-axis, followed by a translation 2 units up of the graph of f(x)=x2. Write a rule for g. Then identify the vertex.

Answers

Answer:

f(x)=x^2

g(x)= -4(x^2)+2

(0,2)

Step-by-step explanation:

Using transformation concepts, it is found that:

The rule for g is: [tex]g(x) = -4x^2[/tex]The vertex is: (0,0).

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

Stretching a function [tex]f(x)[/tex] vertically by a factor of b is given by: [tex]g(x) = bf(x)[/tex]Reflecting a function over the x-axis is the equivalent of: [tex]g(x) = -f(x)[/tex]

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

The original function is: [tex]f(x) = x^2[/tex].Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^2[/tex]Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^2[/tex], which is the rule for g.From the graph added at the end of this answer, the vertex is at (0,0).

A similar problem is given at https://brainly.com/question/15196246

Tim​ Urban, owner/manager of​ Urban's Motor Court in Key​ West, is considering outsourcing the daily room cleanup for his motel to​ Duffy's Maid Service. Tim rents an average of 50 rooms for each of 365 nights​ (365 × 50 equals the total rooms rented for the​ year). Tim's cost to clean a room is $ 13.50. The​ Duffy's Maid Service quote is $ 18.50 per room plus a fixed cost of $ 26 comma 000 for sundry items such as uniforms with the​ motel's name.​ Tim's annual fixed cost for​ space, equipment, and supplies is $ 61 comma 000. Based on the given information related to costs for each of the​ options, the crossover point for Tim​ is __________ ?.

Answers

Answer:

broke

Step-by-step explanation:

----$$$$$$$

is it right? or like idk i’m confused

Answers

This is right                                                                        

The system requires me to have 20 characters in my answer so I am just gonna add this.

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error? Zelie should have divided both numbers by 14. Zelie should have written the ratio as StartFraction 28 feet over 7 feet EndFraction. Zelie should have written the ratio as StartFraction 14 feet over 28 feet EndFraction.

Answers

Answer:

Zelie should have divided both numbers by 14

Step-by-step explanation:

Given

[tex]Actual = 28[/tex]

[tex]Measured = 14[/tex]

Required

Spot and correct Zelie's mistake

[tex]Zelie = \frac{28 - 7}{14 - 7} = \frac{21}{7}[/tex]

Scale is calculated as:

[tex]Actual = Measured * Scale[/tex]

[tex]28 = 14 * Scale[/tex]

Divide 28 and 14 by 14

[tex]28/14 = 14/14 * Scale[/tex]

[tex]2 = 1 * Scale[/tex]

[tex]2 =Scale[/tex]

[tex]Scale = 2[/tex]

Notice at this point:

[tex]28/14 = 14/14 * Scale[/tex]

Both sides were divided by 14.

Hence, option A answers the question.

Answer:

A. Zelie should have divided both numbers by 14.

Explanation:

I took the quiz and got it right.

Hope this Helps!

3. The area of a rectangle is 5/8 square foot. The width of the rectangle is 24
feet. What is the length of the rectangle?
a) 25/16 feet
b) 25/5 feet
c) 14 feet
d) 4 feet

Answers

Answer: 14

Step-by-step explanation:

Well, we know that the formula to fugure out area is :Length times Width

We also know that WIdth is 24. So 24 times __ =5/8.

Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x   Now, we know that:

x * 24 = 5/8.

To figure out x, we need to do 5/8 divided by 24, right?  When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.

is a type of appeal that tries to make readers feel something.



A:Ethos

B:Logos

C:Pathos

D:Eros
(i put it on math my bad)

Answers

Answer:

C i think

Step-by-step explanation:

Diego can type 140 words in 4 minutes.

It will take him 11 minutes to type 385 words.
Diego can type ___words can he type in 15 minutes.
If you get stuck, consider creating a table.

Answers

Answer:

525

Step-by-step explanation:

140/4=35 words per minute (wpm)

35*15=525 words in 15 minutes

Gina has been offered a job as a dog walker. The job pays $10 each week plus $5 per dog walked. Gina’s goal is to earn $75 each week. What is the number of dogs Gina must walk in order to reach her weekly goal?

Answers

Answer:

The answer is 5 dogs.

Step-by-step explanation:

If she earns $15 each week, you have to divide that with 75. 75/15=5. Thus, each week she needs to walk 5 dogs to reach her goal.

Answer:

13 Dogs

Step-by-step explanation:

65 Divided by 5

Equals 13

Therefore,

If you get 10 dollars each week then subtract 75 by 10 and you get,

65, Then divide that by 5 to get your answer

Hope this helps! <3

Solve the following equation for H. Be sure to take into account whether a letter is
capitalized or not.
8 + H=n

Answers

Answer:

[tex]H=n-8[/tex]

Step-by-step explanation:

[tex]8+H=n[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]8+H-8=n-8[/tex]

[tex]Simplify[/tex]

[tex]H=n-8[/tex]

What is an equation for the line that passes through (6,-5) and (-8,16)

Answers

Answer:

y=mx

Step-by-step explanation:

i think thats the equation am pretty sure tho

HELP WITH MY MATH EXAM i don't know what to do and my head hurts a lot

Answers

Answer:

x = 154/13

Step-by-step explanation:

You are given the measures of all three angles in a triangle

so according to the Triangle Sum Theorem:

∠MNO + ∠OMN + ∠NOP = 180

1. Substitute the measures of the angles into the equation:

(3x + 11) + (2x + 20) + (8x - 5) = 180

2. Combine like terms:

(3x + 2x + 8x) + (11 + 20 -5) = 180

13x + 26 = 180

3. Isolate x by subtratcing 26 from both sides

13x + 26 -26 = 180 -26

13x  = 154

4. Solve for x by dividing both sides by 13

13x/13 = 154/13

x = 154/13

Which expression is equivalent to StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue?
–15
–1
1
15

Answers

The expression that is equivalent to Start Absolute Value 8 End Absolute Value + Start Absolute Value Negative 7 End Absolute Value is 15. Hence, option D is correct.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

Anything inside an absolute value becomes positive when it exists. Things that are not within the absolute values remain the same.

So,

|8| + |-7| = 8 + 7 = 15

To know more about Expression:

https://brainly.com/question/14083225

#SPJ6

Answer:

it is D-15

Step-by-step explanation:

15 is D

Explain! Reward! Thank you!!!!!

Answers

Answer:

1 lb/$4 is the correct answer.

Step-by-step explanation:

its  $4 per pound

Other Questions
Six students are working to simplify the expression shown 4y+13x-5+6y-x What was the main SYMBOL of "On the Sidewalk Bleeding" Is NaBr+I2 -> NaI+Br2 a single replacement Increase in potential energy of spring what is the authors purpose for a good kind of trouble What do Muslims believe about the afterlife?A.the soul continues to existB.souls are judged upon deathC. All believers will experience paradiseD. All souls will be judged by Muhammad Jake owns a company called Boat Builders, LLC and one evening he took several of his employees out after work to a bar. After eating and drinking for several hours Jake invited them back to the Boat Builders premises so he and some of the employees could show off a boat theyd been working on. After arriving at Boat Builders they all continued to drink and two of the employees, Tyler and Mark, got into an argument. When Tyler went to use the bathroom Mark attacked him from behind causing him to lose consciousness and break a tooth. Mark made light of it but gave Jake a menacing look so Jake dropped it and went to check on Tyler. Tyler sat up and asked what happened and Jake told him that Mark had attacked him from behind. About an hour passed by during which time Jake went out to his car and got his phone so he could play music for everyone. After an hour, Tyler and Mark began to argue again and they walked outside into the Boat Builders parking lot where Mark attacked Tyler again. Mark left and was later arrested for aggravated battery. Tyler regained consciousness after 10 minutes and drove home even though he was badly injured.Does Tyler have a negligence claim against Boat Builders? Why or why not? A complete answer will be at least 5 sentences and mention critical facts. 6) The magnitude of the force the Sun exerts on Uranus is 1.41 x 1021 newtons. Explain how it is possible for the Sun to exert agreater force on Uranus than Neptune exerts on Uranus. Space travel is an example of a rapid skimming strategy.FalseTrue what is the product of b(b^2 - 12b+1) 2 A carpent is 3m too long for asquare floor in one direction andIm to short in the other side.The area of the carpet is 21m.Find the area of the floor. Select the vector along which a translation of the plane would map point A to its image T (A). Explain how the discoveries by Rosalind Franklin helped Watson and Crick build an accurate model of DNA I need the values of m, n, v, and r all the answer choices for the 4 are 92, 68, 88, or 122GEOMETRY brainliest if rightonly answer if you think you have it right A paragraph that contains a topic sentence at the beginning is a: Which expression is equivalent to (32)^9 3^5?( by the way, 5 and 9 are exponents i just cant put them in the corner) when the second continental congress reviewed the declaration of independence it The first Acadians who settled in louisiana came fromSaint-DomingueNewfoundlandNova ScotiaFrance In the last ten games, Jamal made 79 of his free throws and Brian made 58 of his free throws. Which player has the better record? Explain.