18. Monique owns a catering business. Last weekend, she catered two events in which all attendees were served
either a chicken or a steak
dinner. The table below shows some pricing information about these two events
Before Tax Prices of Monique's Catered Events
Day of Number of chicken Number of steak Total before-tax
event Dinners served Dinners served
Price of dinners
Saturday 27
17
$809.50
Sunday
46
34
$1,495,00
The following system of equations can be used to determine the before-tax prices of dollars for each chicken
dinner and s dollars of each steak dinner Monique served.
27c+ 17s = 809.50
46c + 34s = 1,495.00
What is the before-tax price of a chicken dinner?
1:11

Answers

Answer 1

Solving the system of equations, it is found that the before-tax price of a chicken dinner is of $15.5.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: Price of a chicken dinner.Variable s: Price of a steak dinner.

The system is given by:

27c+ 17s = 809.50

46c + 34s = 1,495.00

Multiplying the second equation by -0.5 and adding with the first we can remove s, hence:

27c+ 17s = 809.50

-23c - 17s = -747.50.

4c = 62.

c = 62/4.

c = 15.5.

The before-tax price of a chicken dinner is of $15.5.

More can be learned about a system of equations at https://brainly.com/question/24342899


Related Questions

FInd the area of the shaded polygon

Answers

120 sq.un

area of parallelogram = base * height

Here given the following,

base = 15height = 8

area of shaded polygon: 15 * 8 = 120 sq.un

m ∠ 1 = ______ °
m ∠ 2 = ______ °
m ∠ 3 = ______ °

Answers

Answer:

M < 1=180

M<2=90

M<3=90

Step-by-step explanation:

M 2 and 3 are both right angles and m1 is a obtuse  angle

Estimate the perimeter of the figure on number 3

Answers

Answer:

13.5

Step-by-step explanation:

i just counted the whole squares and then counted the half and divided that number by 2 and added that number to the first number

9 + (9/2)

9 + 4.5

13.5

The figure shows the dimensions of a room. How much carpet is needed to cover its floor? 15 ft 10 ft​

Answers

Answer:

150 ft² of carpet is needed

Step-by-step explanation:

Dimensions of the floor :

15 ft (length)10 ft (width)

∴ Area of carpet required = Area of floor

Area of floor

length x width15 ft x 10 ft150 ft² of carpet is needed
Length=L=15ftWidth=B=10ft

Area:-

Length×widthLB15(10)150ft^2

2=x^2-10x solve by completing the square

Answers

[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]

Fill in the table using this function rule.​

Answers

Answer:

1) 16
2) 12
4) 4
5) 0

Step-by-step explanation:

Plug in the value for x in the equation above and solve for y for all 5.

The graph of the function is of the form
f(x) = a * sin(kc – c) + h.

Answers

The answer is : f(x) =3sin(2x+pi/2)

Explain

There 0,3 on the graph

You use this formula

f(x)=asin(kx-c)+h

and the maximum and minimum value of this function

a+ h and -a+ h

So a=3 and h=0

So we have

We have; f(x)= 3sin(kx - c)
and we have from the graph;

f(O)=3

So

Sin(-c) =-1

Therefore C=. Pi/ 2 +2pi n

We have period of the function is pi


2pi/ k
k=2
So it will equal Pi


Do you have any doubts ?

Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .

Answers

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = 6

The formula for the nth term is :

aₙ = a₁rⁿ⁻¹Common ratio (r) = quotient of consecutive termsr = -12/6 = -2

Therefore, the nth term is :

aₙ = 6(-2)ⁿ⁻¹

HELPP this is due tomorrow

254 people were surveyed regarding their favorite gemstone 54%chose diamonds 6%chose saphires 30% chose emeralds 10% rubies. How many people did not choose emeralds or rubies?

Answers

Answer:

152.4

Step-by-step explanation:

30%+10%=40%

100%-40%=60%

254*0.60=152.4

The movie started at 7:35 PM and lasted 1 hour and 40 minutes. What time did
the movie end?

Answers

Answer:

9:15 PM

Step-by-step explanation:

1 hour and 40 minutes after 7:35 is 9:15

It ended 9:15 pm
Explanation: from 7:35 1+40 = 09:15 pm

]
02:14:59
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
O Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
O Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Submit
Save and Exit
Next
Markethis anderen
Docs

Answers

Answer:

its A: Use the distance formula to find the length of each side, and then add the lengths.

Step-by-step explanation:

Pls give me brainlist.

the circumference of a circle exceeds the diameter by 60 cm. Find the radius of the circle.

Answers

Answer:

14 cm

Step-by-step explanation:

hope this helps :)

what's greater -9/11 or -5/8

Answers

Answer:

-9/11 > -5/8

Step-by-step explanation:

-3|x|=9, what is x? I wrote that x = -3, but I guess that's wrong?

Answers

Answer:

  no solution

Step-by-step explanation:

You want the solution to -3|x| = 9.

Sign

The equation shows the product of a negative number (-3) and a positive number |x| is positive (9).

This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.

There is no solution to this equation.

<95141404393>

Can anyone help me on this?

Answers

Answer:

Out of the two sums, B is the closest to the value to 1/2.

Steps for A:

Change 1/3 to 5/15

2+5/15

= 7/15

7/15 as a decimal: 0.46

0.50 - 0.46 = 0.04

Steps for B:

Change 6/7 to 18/21

Change 1/3 to 7/21

18-7/21

= 11/21

11/21 as a decimal: 0.52

0.52 - 0.50 = 0.02

Solve the folllowing question-->2e+3=5

Answers

Answer:

[tex]\boxed{\sf{e=1}}[/tex]

Step-by-step explanation:

Isolate the term of e from one side of the equation.

2e+3=5

First, you subtract by 3 from both sides.

⇒ 2e+3-3=5-3

Solve.

Subtract the numbers from left to right.

⇒ 5-3=2

Rewrite the problem down.

⇒ 2e=2

Divide by 2 from both sides.

⇒ 2e/2=2/2

Solve.

Divide the numbers from left to right.

⇒ 2/2=1

⇒ e=1

Therefore, the correct answer is e=1.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

e = 1

Step-by-step explanation:

Subtract 3 both sides:

⇒ 2e + 3 = 5

⇒ 2e + 3 - 3 = 5 - 3

⇒ 2e = 2

Divide both sides by 2:

⇒ 2e = 2

⇒ 2e/2 = 2/2

e = 1

During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?

Answers

Answer:

unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the

400 miles is the answer

Whats the rate of change for (0,3) and (2,-5)

Answers

Answer:

[tex]\boxed{\sf{-4}}[/tex]

Step-by-step explanation:

Solve a slope using a rate of change.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

⇒ y2=(-5)

⇒ y1=3

⇒ x2=2

⇒ x1=0

Rewrite the problem down.

⇒ (-5)-3/2-0

Solve.

⇒ -8/2

Divide.

⇒ -8/2=-4

Therefore the slope is -4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

5.946

Step-by-step explanation:

The pythogorean theorem states that a^2+b^2=c^2.

We are given the hypotenuse, c, and a side length.

3.5^2+b^2=6.9^2

12.25+b^2=47.61

b^2=35.36

b=5.9464...., rounded to 5.946

HELPPPPPP PLSSSSSSSS

Answers

Answer:

hmmmm help rin ako po please

necesito saber como se resuelve esto (:

Answers

Answer:

Cómo escribir las fracciones en letras?

Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.

Step-by-step explanation:

Ethel is packing two suitcases for her vacation. The
first suitcase weighs 24 pounds. The total weight of
the suitcases is 49 pounds. What is the weight of the
second suitcase?

Answers

Answer:

43646

Step-by-step explanation:

I did not know

Answer:

25 pounds

Step-by-step explanation:

both are 49. and one is 24.

49-24=25. which has to be the weight of the second suitcase.

You text your friend for 15 minutes on friday night and for 25 minutes on saturday night. what is the percent of increase? (round to nearest whole percent)

Answers

Answer:

66%

Step-by-step explanation:

This doesn't really require any equations, it's just brain work.

15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.

----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!" B.B.King

Thanks!

Have a great day!

Mark me brainliest!

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:D

Find the volume of the figure below.

Answers

Answer:

B

Hope This Helps! :) Please Mark as brainliest!

The answer would is b

A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations

Answers

= 70% of the flowers are carnations

How do you find the probability of an outcome?

Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.

we are given that,

6/10 = 3/5 of the flowers are pink, do

we know .2/5 of the flowers are red .

Since 1/3 of the pink flowers are roses, 2/3 of

the pink flowers are on Carnations .

we are given that 2/4 of the red

flowers are carnations .

The number carnations are

[tex]\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}[/tex]

[tex]=\frac{2}{5} +\frac{3}{10}[/tex]

[tex]= \frac{4 + 3}{10}[/tex]

[tex]=\frac{7}{10}[/tex]

covert into percent

[tex]=\frac{7}{10} 100[/tex]

= 70%

Learn more about Probability here https://brainly.com/question/11234923

#SPJ2

If the distance between A(x,3) and B(4.3) is 16 units, find the value of x.​

Answers

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x1 = x \: \: y1 = 3 \\ x2 = 4 \: \: y2 = 3 \\ distance \: betwen \: two \: points = \sqrt{(x2 - x1) {}^{2} +( y2 - y1) {}^{2} } \\ 16= \sqrt{(4 - x) {}^{2} + (3 - 3) {}^{2} } \\ 16 = \sqrt{(4 - x) {}^{2} + 0} \\ 16 = \sqrt{(4 - x) {}^{2} } \\ 16 = 4 - x \\ 16 - 4 = - x \\ 12 = - x \\ x = - 12[/tex]

The answer is X=20 or X=-12

Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​

Answers

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

How to determine  the exponential model?

From the complete question,we have the following parameters:

Initial value, a = 3Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

https://brainly.com/question/7296382

Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

pleaseeeeeeeeee help math

Answers

Answer: 8

Step-by-step explanation: to find 20% multiply 40 by .20

8

40*0.2 which gives u the answer 8

HELLLLLLLLLLLLLLLLP 8TH GRADE MATH IM TIMED HELLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

the answer for question 15 is going to be D. since wen u draw the line on a graph there is only one point that connects to the points we are given in the question so it's (-8,4)

A car traveled 1010 miles at an average speed of 3030 miles per hour
and then traveled the next 1010 miles at an average speed of 5050 miles
per hour. What was the average speed, in miles per hour, of the car for the
2020 miles?

Answers

The average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

Average speed

Average speed v = d/t where

d = total distance and t = total time

Making t subject of the formula, we have

t = d/v

Time to cover first 10 miles

Now when the car travels 10 miles at an average speed of 30 miles per hour,

d = 10 mi and v = 30 mph.

So, t = d/v

= 10/30

= 1/3 h

Time to cover next 10 miles

Also, when the car travels the next 10 miles at an average speed of 50 miles per hour,

d' = 10 mi and v' = 50 mph.

So, t' = d'/v'

= 10/50

= 1/5 h

Time to cover 20 miles

The total time for the 20 miles is T = t + t'

= 1/3 h + 1/5 h

= (5 + 3)/15 h

= 8/15 h

Average speed for 20 miles

So, the average speed for the 20 miles is v = D/T where

D = 20 miles and T = 8/15 h.

So, v = D/T

v = 20 mi ÷ 8/15 h

v = 20 × 15 mi/8 h

v = 2.5 × 15 mi/h

v = 37.5 mph

So, the average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

Learn more about average speed here:

https://brainly.com/question/24739297

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