Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.

For what number of guests will the cost of Caterer A be the same as the cost of Caterer B? number or guest

Answers

Answer 1

Answer:

Number of guests = 10

Step-by-step explanation:

Given that:

Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.

Let,

x be the number of guests.

A(x) = 15x + 100

B(x) = 20x + 50

For the cost to be equal;

A(x) = B(x)

15x + 100 = 20x + 50

100 - 50 = 20x - 15x

50 = 5x

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}\\x=10[/tex]

Hence,

Number of guests = 10


Related Questions

Match each item to its equivalent unit price. Round prices to the nearest cent.

es

12-oz tube of toothpaste for $3.10

$0.22

oz

re

16-oz tube of toothpaste for $3.52

$0.26/oz

8-oz tube of toothpaste for $1.85

$0 23/Oz

10-oz tube of toothpaste for $2.92

$0.29/oz

Answers

Answer:

Step-by-step explanation:

8 oz goes to 0.23/oz

10 oz goes to 0.29/oz

16 oz goes to 0.22/oz

Lastly, 12 oz goes to 0.26/oz

Hope this helps!

4x+ 6y =12 x = -4y + 8
9 math

Answers

Answer:

Step-by-step explanation:

x

2

−4x+y

2

−6y+13

Answer:y=3x + 2

Step-by-step explanation: 4x+6y= 12x=-4y+ 8 y=-3x+2

ASAP!!!
Is the relation in the table below a function?

Answers

Answer:

No

Step-by-step explanation:

A relation is a function if every x-value has exactly one y-value.

Because the x-value 1 has two y-values (-3 and 3), the relation is not a function.

Plotting (1, -3) and (1, 3) will produce a vertical line that intersects the function at two points.

Therefore, the relation is not a function.

Hope that helps.

How can I solve this with substitution with steps.
y=-6x-16
-2x+4y=-2

Answers

Answer:

(-31/13, -22/13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -6x - 16

-2x + 4y = -2

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                -2x + 4(-6x - 16) = -2Distribute 4:                                                                                                    -2x - 24x - 64 = -2Combine like terms:                                                                                       -26x - 64 = -2[Addition Property of Equality] Add 64 on both sides:                                -26x = 62[Division Property of Equality] Divide -26 on both sides:                            x = -31/13

Step 3: Solve for y

Define original equation:                                                                               y = -6x - 16Substitute in x:                                                                                                y = -6(-31/13) - 16Multiply:                                                                                                           y = 186/13 - 16Subtract:                                                                                                          y = -22/13

If m -(-3) > 17, which is a possible value for m?

Answers

Answer:

If m -(-3) > 17, which is a possible value for m?

Step-by-step explanation:

Help BRAINLIEST........

Answers

Answer:

5.52 is the length of wire

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in
dollars, of visiting a gym as a function of the number of visits, n. Find the value of
c(7).

Answers

Answer:

The value of function at n = 7 is 78.

Step-by-step explanation:

Given function is:

c(n) = 50 + 4n

Here,

c represents the cost monthly cost of gym

n represents the number of visits to the gym

We have to find the value of c(7).

We will put n = 7 in the function.

Thus,

c(7) = 50 + 4(7)

c(7) = 50 + 28

c(7) = 78

Hence,

The value of function at n = 7 is 78.

The value of c(7) in the function c(n) = 50 + 4n is = 78

The function is defined as follows:

c(n) = 50 + 4n

where

function c is defined by the equation above

n is the number of visit

The function gives the monthly cost in dollars.

Therefore,

The value of c(7) can be found as follows:

c(7) = 50 + 4n

c(7) = 50 + 4(7)

c(7) = 50 + 28

c(7) = 78

learn more about function here: https://brainly.com/question/22386940?referrer=searchResults

A store sells 4 T-shirts for $38.04. What is the unit cost per T-shirt?

Answers

Answer:9.51

38.04/4 = 9.51

Have a good day :)

Answer:

9.51

Step-by-step explanation:

PLEASEEEEEEEEEE HELPPPPPPPPPPPPp
It is in the picture.

Answers

Answer: D

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

Andre deposited $24.50 into his bank account each week for 5 weeks. What was the total amount Andre deposited? *

Answers

Answer:

122.5

Step-by-step explanation:

24.50=1 week

24.0×5weeks

122.5=5weeks

Answer:

122.50

Step-by-step explanation:

mlti 24.50 x 5

An airplane travels 645 miles in 3 hours at a constant speed. How much time will it take traveling 1,075 miles?

Answers

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

Time is proportional to distance:

  t/1075 = 3/645

  t = 1075(3/645) = 5

It will take 5 hours to travel 1075 miles at that rate.

What is the midpoint of the segment below

Answers

Midpoint = ((x1+x2)/2 , (y1+y2)/2)
= ((10/2) , 1/2) = (5, 1/2). Asnwer À

celia made 3 1/2 cups of rice. A serving of rice is 2/3 cups. how many servings of rice did celia make?

Answers

Answer:

E. 5 1/4

Step-by-step explanation:

Divide the total cups of rice(3 1/2) by a serving of rice (2/3)

This is my first answer!

20x4 = blink so with u do is your put 20 group then u have add 4 to it


answer: 80 hope it help the your kids

Answers

Answer:

Thank you

Step-by-step explanation:

What is the median age of presidents at inauguration shown in the diagram?*
1 point
Age At Inauguration
Age
President
William Howard Taft 51
Zachary Taylor 64
John Adams
61
James Madison 57
Woodrow Wilson 56
Thomas Jefferson 57
Andrew Johnson 56
Bill Clinton
46
Rutherford B Hayes 54
054
Yo

Answers

Answer:

55

Step-by-step explanation:

As per given diagram we have:

The greatest value = 64The smallest value = 46

Median age is:

(64 + 46)/2 = 110/2 = 55

Teachers receive a 10% discount at the apple store.
If your favorite math teacher wants to buy a new
iPhone for $1199, how much will his/her total be?

Answers

Answer:

The answer is $1,079.1

Step-by-step explanation:

you find what 10% of the total is and you would get 119.9. then, you subtract that from the total to get what the teachers total would be.

I'm sorry it's a terrible explanation, but I just did it really fast in my head

PLEASE ANSWER ASAP !!!! WILL GIVE BRAINLIEST

Answers

Answer:

6z-7>8z+2? =  z < -9/2

Step-by-step explanation:

6*z-7-(8*z+2)>0

  -2z - 9  =   -1 • (2z + 9

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     2z+9  < 0

Divide both sides by  2  

     z+(9/2)  < 0

Subtract  9/2  from both sides

           z < -9/2

Answer: z < -9/2

Answer:

z is (less than) -9/2 is the correct answer use the symbol for less than.  

Step-by-step explanation:

I put it through Photomath which is 100% right all the time with these equations.

Solve using any method
6x+15y=9
4x+10y=8

Answers

Answer: Multiply each equation by the value that makes the coefficients of opposite.

(−2) ⋅ (3x−15y) = (−2) (9) (-2) ⋅ (3x-15y) = (-2) (9) (3) ⋅ (2x−10y) = (3) (6)

Simplify.

–6x+30y= − 18

6x − 30y = 18

i hope this answers it

Gaby has 89 friendship bracelets. She has 4 friends, Lulu, Brianna, Brittany and Mariah. When, they get the bracelets are they all going to have the same amount? Why or why not?


HELP MY BROTHER HES 8 YRS OLD!!!!! IF YOU ANSWER IT CORRECTLY YOU WILL GET BRAINLIEST

Answers

Answer:

They will not get the same amount of bracelets

Step-by-step explanation:

You cannot divide 89 by 4 to get an equal number (4 is not a factor of 9)

Answer:

3 of the friends plus Gaby will get 17 bracelets and 1 of them will get 4/5 of the bracelets

Step-by-step explanation:

89 divide by 5 = 17.8

(HCASE
Dashboard
Cheyenne has $12.00 saved for after-school snacks. Each week Cheyenne spends $3.00 on snacks. Ahmed spends $0.50 each week on snacks and
originally had $7.00 saved.

Answers

Answer:Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.

Step-by-step explanation:

Answer:

Cheyenne can only buy 4 snacks for 1 week, and Ahmed can buy 14 snacks for 1 week

Step-by-step explanation:

12/3 =4

7/0.50=14

Hope this helped! if not Please tell me! :)

NEED HELP!!! WILL GIVE BRANLIEST Which of the following options best describes the slope of line a?​

Answers

Answer:

Positive

Step-by-step explanation:

Can you please not sit on my eggplant Because if 6 inches plus 6 inches is not 3 inches but it would be 12 inches then why would it be 12 inches if it wasn’t 3 inches?

Answers

Answer:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

what are the first 5 terms of
n+ 3​

Answers

Answer:

The sequence of first five terms

4 , 5, 6, 7, 8

Step-by-step explanation:

Step(i):-

Given  [tex]n^{th}[/tex] of the sequence

aₙ  = n + 3 ..(i)

 put n =1

a₁ = 1 +3

a₁ = 4

The first term of the sequence = 4

Put n =2 in equation (i)

a₂ = 2+3

a₂ = 5

The second term of the sequence = 5

put n=3 in equation (i)

a₃ = 3+3 = 6

The third term of the sequence = 6

Put n=4 in equation (i)

a₄ = 4 +3

a₄ = 7

The fourth term of the sequence = 7

Put n = 5 in equation (i)

a₅ = 5+3

a₅ = 8

The fifth term of the sequence = 8

Step(ii):-

The sequence of first five terms

4 , 5, 6, 7, 8

Leah wants to figure out how many notebooks are in her class. She knows 2 points
that twenty-six less than two times the number of notebooks equals 10.
Write an equation to represent the number of notebooks. *
A. 2x+26=10
B. -26=10x
C. 26-2x=10
D. 2x-26=10
PLEASE HELP I ONLY HAVE 30 MINUTES

Answers

Answer: D

The answer is D

Please help with my math!!! asap!
Which of the following is the correct slope-intercept form of the equation 2x - 4y = 7?

Answers

Answer:

The 4th one

Step-by-step explanation:

answer is number 4.............

Will someone please help me with 13 and 14?

Answers

Answer:

7 children

Step-by-step explanation:

14) Number of children = Cost of the oven ÷ amount paid by each child

                                     = 149.45 ÷ 21.35

                                     = 7

number 2 is 7 kids because 21.35 x7 is 149.45

What is the slope of the​ line?
(16,0) and (4,-3)

Answers

Answer:

The slope=1/4

Step-by-step explanation:

(16, 0) = (x,y) and (4, -3) = (`x, `y)

formula for finding slope is `y - y/ `x - x

-3 - 0/ 4 - 16

-3 / -12 = 3/12 = 1/4

Therefore, the slope = 1/4

Sove: -6n+5<11
Which graph shows the solutions?

Answers

Answer: The first one

Step-by-step explanation: first you have to subtract 5 from both sides and then you have -6n < 6 . Then you have to divide both sides by -6 then you get n < -1.

THIS IS AN EMERGENCY PLEASE HELP ME!!!!!!!!!!!!!

When the original price and discounted prices are known, how can we find the percent markdown? Explain please.

Answers

Well you see, first you multiply the original price by the percent discount, then, you subtract the original price the the product and you get your answer.

Sorry some of it got cut off

Hope it helps!

16 can be written as:
O
A. 22

B. 44

c. 24
D. 82
E. 28

Answers

Answer:

2^4

Step-by-step explanation:

2^2 = 2 * 2 = 4

4^4 = 4*4*4*4 = 256

2^4 = 4*4 = 16

8^2 = 8*8 = 64

2^8 = 2*2*2*2*2*2*2*2 = 256

Hence, 16 can be written as 2^4

Thus, Answer is [C] 2^4

[RevyBreeze]

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