A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $1100 and the cost for 150 students will be $1550. Find the caterer’s fixed cost and the cost per student served. Use a system of equations and solve using elimination or substitution.

Answers

Answer 1

Answer:

$10 to $11

Step-by-step explanation:

$1100÷100=$11

$1550÷150=$10.3333333333


Related Questions

need help ASAP!! please

Answers

Answer:

Step-by-step explanation:

a is the base

b is the power

c is the root

a = 7

b = 9

c = 4

How much interest is earned on a principal of $2.58 invested at an interest rate of 5% for four years

Answers

The answer is 0.516%
Using the simple interest formula
Which is SI= (principal x rate x time)/100

Solve for w.

10 + 9w = 5w − 10

w =

Answers

Answer:

w=-5

Step-by-step explanation:

Let's rewrite the equation.

10+9w=4w-10.

Next, we want variables on one side and constants on the other.

9w-4w=-10-10

Add like terms.

4w=-20

Now divide.

w=-5

Done!

10 + 9w = 5w -10


Move variable to the left-hand side and change its sign

10 + 9w 5w - 10


Move constant to the right-hand side and change its sign

9w -5w = -10 -10


Collect like terms

4w = -10 -10


Calculate the difference

4w = -20


Divide both sides of the equation by 4

W = -5

And the answer is

W = -5

Find the measure of angles X and Y, as well as the values of x and y:
W
52 x
Х
(6y - 2)
(4x + 20)
Y

Answers

Answer:

angle X = angle Y = 66 degree

x = y = 11

Step-by-step explanation:

[tex]In\:\triangle WXY:\\

WX = WY ...(given)\\

\therefore m\angle X = m\angle Y....(1)\\

\therefore (6y-2)\degree= (4x+20)\degree....(2)\\[/tex]

By interior angle sum postulate of a triangle:

[tex]m\angle X +m\angle Y+m\angle W = 180\degree\\

\therefore (6y -2)\degree+ (4x+20)\degree+52\degree= 180\degree\\

\therefore (6y -2)\degree+ (4x+20)\degree= 180\degree-52\degree\\

\therefore (6y -2)\degree+ (4x+20)\degree= 128\degree.....(3)\\

From\: equations\: (2)\: and \: (3)\\

(4x+20)\degree+ (4x+20)\degree= 128\degree\\

\therefore (8x+40)\degree= 128\degree\\

\therefore 8x+40= 128\\

\therefore 8x= 128-40\\

\therefore 8x= 8\\

\therefore x= \frac{88}{8} \\

\huge\red{\boxed{\therefore x= 11}}\\\\

\because (6y-2)\degree = (4x+20)\degree\\

\therefore 6y - 2 = 4\times 11+20\\

\therefore 6y = 44 + 20 + 2\\

\therefore 6y = 66\\

\therefore y = \frac{66}{6}\\

\huge \purple{\boxed{\therefore y = 11}}\\

m\angle X = m\angle Y = (4x+20)\degree...(from \: 1)\\

\therefore m\angle X = m\angle Y = (4\times 11+20)\degree\\

\therefore m\angle X = m\angle Y = (44+20)\degree\\

\huge\orange{\boxed{\therefore m\angle X = m\angle Y = 64\degree}}\\[/tex]

please help e and my sister want to go somewhere but we cant because of this​

Answers

Answer:

1 5/12 lb

Step-by-step explanation:

This is a subtraction problem.

He started with 4 2/3 lb and used 3 1/4 lb, so you need to subtract 3 1/4 lb from 4 2/3 lb.

Notice that the fractions do not have the same denominator, so we need a common denominator and equivalent fractions.

We start with the

subtraction below

       4 2/3

  -    3 1/4

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

The least common denominator of 3 and 4 is 12. 12/3 = 4, and 12/4 = 3, so we get equivalent fractions with the common denominator 12.

We use the LCD to get

the subtraction below

       4 8/12

  -    3 3/12

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

Now we subtract the whole numbers and the fractions.

       4 8/12

  -    3 3/12

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

       1 5/12

Answer: 1 5/12 lb

can some one help me on this question linked ive put all my points in!!!

Answers

Answers:

a) 140, 57

b) Positive

c) 150 cm

What is the slope of the line that contains the points (4-1 and1,4)?​

Answers

Answer:

-5/3  =  m

Step-by-step explanation:

Don't you mean (4, -1) and (1, 4)?  If so, if we start with (1, 4) and move to (4, -1), then x (the "run") increases by 3 and y (the "rise") decreases by 5.  Then the slope is m = rise / run = -5/3  =  m

Un técnico de reparaciones de electrodomésticos cobra 25 € por la visita, más 20 € por cada hora de trabajo. A) Escribe la expresión algebraica (fórmula) que nos da el dinero que le tenemos que pagar en total de acuerdo con el tiempo que esté trabajando

Answers

Answer:

x= 25+20y

Step-by-step explanation:

De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:

x= 25+20y, donde

x= valor total a pagar

y= número de horas trabajadas

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

No solution..

hope it will help you

y is directly proportional to x
when x=6 y=4
determine the value of y when x=9

Answers

Answer:

when x=9 then y=6

Step-by-step explanation:

Given that the proportion is a direct proportion, the value of y when x = 9 is 6

How to determine the value of y?

From the question, we understand that y is directly proportional to y

This means that:

y = kx

Where k is the constant of proportionality

x = 6, when y = 4

So, we have:

4 = 6k

Divide by 6

k = 2/3

This means that:

y = 2/3x

When x = 9, we have:

y = 2/3 * 9

Evaluate

y = 6

Hence, the value of y when x = 9 is 6

Read more about direct proportion at:

https://brainly.com/question/16177263

#SPJ2

Sian is twice as old as her sister Abigail. They divide 30 pounds in the ratio of their ages. How much do Sian and Abigail receive?

Answers

Answer:

Sian would receive 20 Pounds while Abigail would receive 10 Pounds.

Step-by-step explanation:

Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.

If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be

T : 2T (Ratio of Abigail's gae to Sian's age)

The amount received by Abigail

= T/(T + 2T) × 30

= T/3T × 30

= 1/3 × 30

= 10 Pounds

The amount received by Sian

= 2T/(T + 2T) × 30

= 2T/3T × 30

= 2/3 × 30

= 20 Pounds

Compare the values you entered above.
f(-2) is
the remainder when
dividing the polynomial by x + 2.

1. Less than
2. Equal to
3. Greater than

Answers

Using remainder theorem we can state that the remainder will be smaller than x+2 when the polynomial is divided by x + 2.

Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder. The value of P(x) at x = a, namely P, has been derived as the remainder (a). In essence, P(x) can only be divided by x -a if and only if P(a) = 0. It is used in an elegant way to factorize polynomials of every degree.

From the properties of division we know that when a dividend is divided by a divisor then we get a quotient and a remainder in the form:

Dividend = (Quotient × Divisor) + Remainder

Now remainder will always be less than the divisor or else the quotient changes.

Hence the the remainder will be smaller than x+2 when the polynomial is divided by x + 2.

To learn more about remainder theorem visit:

https://brainly.com/question/9160275

#SPJ1

Answer:

Step-by-step explanation:

it's B.) equal to :)

D
Question 2
20 pts
RD
2) An engineer is trying to figure out the value
of cos0 in order to ensure that the airplane
wing that they are constructing will keep the
plane in the air. They know that sin 0=4/5. Find
cos0.

Answers

Answer:

imma have to get back to u on that one

can someone help me please?

Answers

Answer:

C.

Step-by-step explanation:

Because when a number is next to a letter you always multiply ( t x 3 ), so the ant is walking three feet per minute which can be described as t x 3 + 6.

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Does that look right or am I supposed to multiply and get 52.7

Answers

Yeah you got that right i’m guessing you added

Answer: multiply to get 52.7

Step-by-step explanation: scale factor enlargement means the number they give you (6.2) the new size.

in this case would be 8.5 times 6.2  

I hope this helps!

Name a three dimensional shape that cannot have a triangle as a two dimensional cross section.

Answers

Answer:

A sphere

Step-by-step explanation:

A cross section of a three dimensional figure is the surface or intersection of the three dimensional figure and a plane, it is the shape obtained by cutting straight through the three dimensional figure

The shape of an inclined cross section of a cube can be a triangle however, he shape of a horizontal and inclined cross section of a sphere is a circle.

On Monday a Farmer sold 25196 pounds of potatoes on tuesday he sold 18023pounds on Wednesday he sold some more potatoes in all he sold 62409 pound of potatoes about how many pounds of potatoes did the farmer sell on Wednesday estimate by rounding each value to the nearest thousand and then compute

Answers

Answer:

estimated sales on Wednesday is 19000 pounds.

Step-by-step explanation:

On Monday, he sold 25196 pounds. Estimated to the nearest thousand that is 25000 pounds.

On Tuesday, he sold 18023 pounds. Estimated to the nearest thousand, that is 18000 pounds

Wednesday's sales is unknown. We designate as x

All in all he sold 62409. Estimated to the nearest thousand, that is 62000

The sales on Monday, plus sales on  Tuesday, plus sales on Wednesday, must all sum up to the total sales.

25000 + 18000 + x = 62000

43000 + x = 62000

x = 62000 - 43000 = 19000

therefore estimated sales on Wednesday is 19000 pounds.

Calculate the radius of the circular rug. Use 3.14 for π.



Area of rug = 153.86 feet





Enter your answer in the box below.

Answers

Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

Markus scored 85, 92, 82, and 94 on the first four tests of the semester. His teacher has not yet told him his score on his fifth test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all five tests. Which equation could Markus use to determine the score of the fifth test, x? 4(x + 5) = 353 + x 5(x + 5) = 353 + x 4(x – 5) = 353 + x 5(x – 5) = 353 + x

Answers

Answer: B

Step-by-step explanation:

Just did the assignment

Answer:

The big B is the awnser my friend

Step-by-step explanation:

On the farm, there were 2 types of animals, Pigs and Chickens. The farm had a total of 10 animals. one day he counted 34 legs. He immediately
calculated the number of chickens. How many chickens were there?​

Answers

Answer:

3

Step-by-step explanation:

since he said he counted 34 legs.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34. you should first remove 2 from 34 that would give you 32. 32 divided by 4 which is the number of legs a single pig has is 8, 8 plus 2 divided by two which is the number of legs a single chicken has is 1 so I plus 8 is 9, but they said he has 10 animals, then you remove 4 again reducing the pig side to 28 and increasing the chicken size to 6. 28 divide by 4 is 7, and 6 divided by 2 is 3, so 3 plus 7 is 10, and ten is the number of animals, so the number of chicken is 3.

The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the range? What is the median?

Answers

Answer:

median = total observation\ no of observation

median=2+3+2+3+2+6+13\7

median=19.857

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME PLEASE

_________________________________

Hey!!!

Solution,

1. Arranging the data in ascending order:

2,2,2,3,3,6,13

N(total number of items)=7

Now,

Median=(N+1/2)th item

=(7+1/2)th item

=(8/2)th item

=4th item.

Median = 3

2. Solution,

Highest score=13

Lowest score=2

Range=highest score-lowest score

=13-2

=11

So, Median=3 Range=11

Hope it helps

Good luck on your assignment

Stay safe....

__________________________________

A major retailer has stuff of 6,400 employees for the holidays after the holiday they will decrease their staff bye 30 how many employees will they have after the holidays

Answers

Answer:

4480 employees

Step-by-step explanation:

Total number of staffs = 6400 employees

If after the holiday they will decrease their staff bye 30%, the amount of staffs decreased = 30% of 6400

= 30/100 * 6400

= 1920employees.

Amount of staffs that they will have after the holiday = Total staffs - decrement

Amount of staffs that they will have after the holiday = 6400 - 1920

= 4480employees

Tabitha's mom is trying to decide between two plumber companies to fix her sink.
Water R Us Company charged $52 for a service call, plus an additional $34 per hour
for labor.
Clogs B Gone Company charges $34 for a service call, plus an additional $40 per hour
of labor.
What will the total cost be from either company when they cost the
same?

Answers

Answer:

the amount due for 3 hours would be $52 + ($34/hr)(3 hrs) = $154

Step-by-step explanation:

Write two equations, one for the total cost payable to Water R Us and another to Clogs:  

$52 + ($34/hr)t  =  $34 + ($40/hr)t, or

$18 = ($6/hr)t, which tells us that t = 3 (That's 3 hours).

At the time the charges from the two companies would be the same (3 hours into the job), the amount due for 3 hours would be

$52 + ($34/hr)(3 hrs) = $154

solve there magic squares using positive and negative numbers including 0 to add the given number

Answers

Answer:

|10 | -4 | -3 |7   |

| -1 |  5  |4  | 2  |

|3   | 1   |  0  |  6  |

| -2 |  8 | 9   |  -5 |

Hope this helps

Step-by-step explanation:

28 should be multiplied by ------------ to get a perfect square

Answers

Answer:

There are plenty of numbers that can multiply with 28 to create a perfect square.

The smallest perfect square could be created as following:

We have: 28 = 4 x 7 = 2^2 x 7 (2 and 7 are prime numbers).

=> Another 7 is left to create a perfect square.

=> The smallest one among possible solutions is 7

Check:

28 x 7 = 196 = 16^2 (valid)

Hope this helps!

:)

Answer:

5.3 multiplied by 5.3 gives you a perfect rounded square number!

Step-by-step explanation:

The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is produced?

A. h(x)=6(9)^(3x)

B. h(x)=6(3)^(2x^2)

C. h(x)=6(3)^(3x)

D. h(x)=6(6)^(2x^2)
Please show work!

Answers

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)

So answer C is the right answer.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a candy that is not lemon?

Answers

Answer: There is a 90% chance you will NOT draw a lemon candy

Answer:

There is a 90% chance of drawing a candy that isn't lemon

Step-by-step explanation:

3 lemon out of 30 pieces:

3/30 = 1/10 = 10% lemon

90% other candy, 10% lemon

An LCD TV costs $459.95. What will the total cost be with 8.25% sales tax? (You must round to the nearest cent.

Answers

Answer:

$497.90

Step-by-step explanation:

8.25% sales tax becomes 0.0825 as a decimal fraction.

Then the total cost would be $459.95 plus 0.0825($459.95), or, in more compact form,

Total Cost = (1.0825)($459.95) = $497.90

How long did it take each time 18 liters of water were drained?

Answers

Answer: 1/4 minutes

Step-by-step explanation:

Answer:

1/4 minutes

Step-by-step explanation:

Khan is never wrong yall ' 3 '

Pythagorean theorem!! If you have a leg that is 10in long and the hypotenuse is 26in long, what is the length of the other leg?

Answers

Answer:

a = 24 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 26^2

a^2 + 100 = 676 ////// -100 both sides

a^2 = 576

a = 24 /////UNITS!

a = 24 in.

Here’s the photo, it had a detailed explanation for every step hope it helps
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