#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for her wedding reception. The Lyme Point Inn charges $3,000 for the venue and $100 for each meal. Ever After Farm charges $5,400 for the venue and $70 for each meal. Write and solve an equation to find the number of meals at which the total cost charged by the two venues would be the same. *

Answers

Answer 1

Answer: Required euqtaion: 3000+100x = 5400+70x

Solution: x=80 i.e. The number of meals at which the total cost charged by the two venues would be the same = 80

Step-by-step explanation:

Let x= Number of meals.

For Lyme Point Inn, cost for x meals = 100x

Total cost = 3000+100x

For Ever After Farm, cost for x meals = 70x

Total cost = 5400+70x

When both cots same, then

3000+100x = 5400+70x

⇒ 100x-70x= 5400-3000

⇒ 30x=2400

⇒ x= 80

Hence, the number of meals at which the total cost charged by the two venues would be the same.  =80


Related Questions

The number 158,861 to 2 significant figures is?​

Answers

Answer:

1.6x10^5

Step-by-step explanation:

moving decimal places 5 times to the left will give you an exponent of 5

1.6x10^5 has 2 sig figs (1 and 6)

comment your question if this is still unclear :))

Isaiah wants to begin eating a more balanced diet. He thinks he should consume 2,000 calories each day. Recommended the percentage of carbohydrates, fats? And proteins he should consume. Also, tell Isaiah how many grams of each he should consume daily

Answers

Answer:

A balance diet is a healthy diet that contains different food intakes.

Step-by-step explanation:

A balance diet may be defined as a diet which contains different varieties of food in certain proportions and quantities so as supply the requirements of the body for proteins, vitamins, calories, minerals and nutrients. It is a healthy diet that helps to maintain and improve the overall health.

For a balance diet, a person needs to take proper amount pf carbohydrates, fats and proteins so that the body gets the required energy in terms of calories for the day.

In the context, Isaiah wishes to consumes 2000 calories of energy in one day for a healthy diet. So according to the United States government recommended diet for the consumption of 2000 calories per day, Isaiah should have 15% of protein, 30% of fat and 55% of carbohydrate. And in terms of gram, she should take 75 gram of protein (300 cal), 67 gram of fat (600 cal) and 275 grams of carbohydrates (1100 cal).

You found a unit rate that compares dollars earned per hours worked at the coffee shop.Is there another unit rate you could write for this relationship? What does that unit ratemean in the context of the situation? What is the related constant of proportionality?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I'll assume the following.

Unit Rate = $10 per 2 hours

Solving further, we have that:

1. Yes, there is another unit rate that can be written.

Unit Rate = $10 per 2 hours

Convert Rate to fraction

[tex]Unit\ Rate = \frac{\$10}{2\ hours}[/tex]

Divide numerator and denominator by 2

[tex]Unit\ Rate = \frac{\$5}{1\ hour}[/tex]

Simplify:

[tex]Unit\ Rate = $5/hour[/tex]

2.  The unit rate implies that the earnings is $5 per hour

3. The constant of proportionality

Let y represent the earnings

x represent work hours.

We have:

[tex]y = kx[/tex]

Where k = constant of proportionality

In this case:

[tex]y = 10[/tex]

[tex]x = 2[/tex]

Substitute these values in [tex]y = kx[/tex]

[tex]10 = k * 2[/tex]

[tex]10 = 2k[/tex]

Divide both sides by 2

[tex]5 = k[/tex]

[tex]k = 5[/tex]

Hence: The unit of proportionality is 5

Apply the above steps in your question

When 9 is multiplied by a number, the result is 90.
Which equation fits this statement?
A
X-9 = 90
B
x=9= 90
9+ x = 90
9x = 90

Answers

9x = 90 is the answer of the question

How do unicellular organisms respond to their environment?

Answers

Answer:

Unicellular organisms sometimes move toward or away from things in their environment.

Step-by-step explanation:

Unicellular organisms can move in two distinct ways—movement and locomotion.

A stray dog ate 30 of your muffins. That was 2/3 of all of them. How many are left?

Answers

There’s 15 muffins left

What is 5 x 100 + 3 + 10 + 8 x 0.1 + 9 x 0.009

Answers

Answer:

513.881

Explanation: (Credits to jessy276)

= 5*100+3+10+8*0.1+9*0.009

= 500+3+10+8*0.1+9*0.009

= 500+3+10+0.8+9*0.009

= 500+3+10+0.8+0.081

= 503+10+0.8+0.081

= 513+0.8+0.081

= 513.8+0.081

= 513.881

Answer:

The answer is 513.881

Step-by-step explanation

Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 2° per hour. For the next 4 hours, it rose 1° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 59° at midnight.

I WILL GIVE BRAINLIEST JUST ANSWER PLS!!!

Answers

Answer:

The parameters given are arranged in a tabular form as follows;

At

Time                                            Temperature

6 a. m.                                            56° F

7 a. m.                                             59° F

8 a. m.                                             62° F

9 a. m.                                             66° F

10 a. m.                                           70° F

11 a. m.                                            74° F

12 p. m.                                           74°F

1 p. m.                                             74°F

2 p. m.                                            74°F

3 p. m.                                            74°F

4 p. m.                                            74°F

5 p. m.                                            74°F

6 p. m.                                            74°F

7 p. m.                                            71°F

8 p. m.                                            68°F

9 p. m.                                            65°F

10 p. m.                                           62°F

11 p. m.                                            61.5°F

12 a. m.                                            61°F

With the above table as the data points, the graph can be drawn

From Excel, The Mean temperature is approximately 68.1°F

The standard deviation is 6.079 °F

paul and jenn are building a new patio they are looking at home improvement stores for square tiles

Answers

Whats the full question and options? Comment and ill answer it! :)

Pure substances cannot be separated into any other kinds of matter, while a mixture is a combination of two or more pure substances. ... A pure substance has constant physical and chemical properties, while mixtures have varying physical and chemical properties

Answers

Answer:

True

Step-by-step explanation:

The above statement is true because a mixture is a combination of two or more substances. and this is done physically ( not chemically as seen in compounds) which in turn gives rise to the varying physical and chemical property that a mixture possess , while a pure substance is inseparable while maintaining a constant physical and chemical property as well

At a wedding reception, the guests have a choice of chicken or steak for dinner. Do
more people prefer chicken or steak? Do more people under 40 prefer chicken or
steak?
Chicken Steak
Total
Under 40
39
21
60
40 or older
34
31
65
Total
73
52
125
a) More people prefer chicken. Also, more people under 40 prefer chicken.
b) More people prefer steak. Also, people under 40 prefer steak.
c) More people prefer chicken. However, more people under 40 prefer steak.
O d) More people prefer steak. However, more people under 40 prefer chicken.
i

Answers

Answer:

i think its a

Step-by-step explanation:

Another store, Healthy Pets, sells dog food in 50-pound bags for $92.13 per bag. If one bag of food from Pets Galore costs $48.15, how much would Seth save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets?

Answers

Answer:

$140.91

Step-by-step explanation:

50 pounds = 1 bag

150 pound bags = 150 ÷ 5

3 bags

Another store, Healthy Pets, sells dog food in 50-pound bags for $92.13 per bag.

1 bag = $92.13

3 bags = x

Cross Multiply

x = 3 × $92.13

$276.39

If one bag of food from Pets Galore costs $48.15

1 bag = $48.15

3 bags = x

x = 3 × $48.15

x = $135.48

The amount would Seth save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets is

$276.39 - $135.48

= $140.91

Which equation represents a line which is parallel to the line y = 4x – 5?

Answers

Answer:

Any answer that has the same slope and a different y-intercept

Step-by-step explanation:

They need to have the same slope so that they never intersect

They need to have different y-intercepts so that they are not directly on top of each other

Solve the equation.

10n-100=6n
what is n

Answers

N = 25

10n-100=6n

We move all terms to the left:

10n-100-(6n)=0

We add all the numbers together, and all the variables

4n-100=0

We move all terms containing n to the left, all other terms to the right

4n=100

n=100/4

n=25
-Answer
I think “n” is 6
————————
Explanation-
Because of the question they are asking 10?-100=6?

The Call First cell phone company charges $45 per month and an additional $0.24 for each text message sent during the month. Another cell phone company, Cellular Plus, charges $65 per month and an additional $0.23 for each text message sent during the month.

Answers

Answer:

2000

Step-by-step explanation:

Let [tex]x[/tex] be the total number of text messages sent per month in order for the plans to cost the same each month.

The first cell phone company, The Call, charges $45 per month and $0.24 per text message for the month.

So, the total cost as per the plan of The Call, for x text messages during the month, is

[tex]C_1= 45+0.24x\cdots(i)[/tex]

Another cell phone company, Cellular Plus, charges $65 per month and $0.23 per text message for the month.

So, the total cost as per the plan of Cellular Plus, for x text messages during the month, is

[tex]C_2= 65+0.23x\cdots(ii)[/tex]

As the cost for both the companies are the same, so, compute the number of text messages, x, during the month by equation [tex]C_1[/tex] and [tex]C_2[/tex] from equation (i) and (ii), we have

[tex]C_1=C_2[/tex]

[tex]\Rightarrow 45+0.24x=65+0.23x[/tex]

[tex]\Rightarrow 0.24x - 0.23x=65-45[/tex]

[tex]\Rightarrow 0.01 x = 20[/tex]

[tex]\Rightarrow x = 20/0.01[/tex]

[tex]\Rightarrow x= 2000[/tex]

Hence, there must be 2000 text message to be sent during the month in order to have the same cost from both the companies.

What is the solution: 4x - 1 = 10 + 4x

Answers

Answer:

0=11

Step-by-step explanation:

Answer:

There is NO SOLUTION, therefore the statement is false.

Explanation:

After you cancel equal terms on both sides of the equation, there’s no remaining value.

Please Help Me, it’s due soon!!! Picture is attached

Answers

It would be C sorry if it’s wrong tho

what is the next number 5, 10, 30, 60, 180, __

Answers

The answer is 360

Explanation:

5 x 2 = 10

10x3=30

30x2=60

60x3=180

180x2 = 360

Answer:

The answer is 360

Step-by-step explanation:

Because the pattern is x2, x3

so the next would be 360 and the next would be 1080

. Can you make a quadrilateral with the side lengths, 6, 7, 8 and 20?

Answers

Answer:

no you cannot

Step-by-step explanation:

4)2 ?
Which of the following expressions is equivalent to (x

Answers

Answer:

2 is the equivalent to the expression

0.1 + 0.3 please help on this.​

Answers

Answer:

0.4

Step-by-step explanation:

[tex]0.1 + 0.3 = 0.4[/tex]

Answer:

0.4

Good Luck!!!

On Tuesday, Stinger Coffee sold 150 cups
of coffee. They sold 90 mochas and the rest
were cappuccinos. What percent of coffees
sold were cappuccinos?

Answers

150-90=60 60 is 2/5 of 150 so 40% is your answer

Answer:

40%

Step-by-step explanation:

90 is 60% of 150 so that automatically makes the cappuccino 40%

What are the first three common multiples of 3 and 9?

Answers

Answer:

9,18,27

Step-by-step explanation:

9 is a multiple of 3 so the first 3 multiples of 9 are the same as the first 3 multiples of 3 and 9.

Find the 82nd term of arithmetic sequence-10,6,22,...

Answers

Answer:

23456787

Step-by-step explanation:

ERROR ANALYSIS Describe the error in solving the equation
Х
2(x + 1)2 + 3 = 21
2(x + 1)2 = 18
(x + 1)2 = 9
x + 1 = 3
x = 2
You must subtract 1 from each side before taking the square root.
The was not used when taking the square root.
You must take the square root before dividing each side by 2.
You must take the square root before subtracting 3 from each side.

Answers

Answer:

HSA.REI.A.2. Practice some problems before going into the exercise. ... Solving square-root equations: one solution ... When I solve a square-root equation, what is it exactly what I'm finding? ... So, do all quadratic equations have extraneous solutions? ... sqrt(x-2)^2=sqrt(1) equal x-2 = +/-1 and not +/-(x-2) = +/-1

i believe the answer is b.

Trina and Jessie went on a vacation to Hawaii. Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level. Jessie went hang-gliding and reached an altitude of 87.9 meters, which is above sea level. Who is closer to the surface of the ocean?

Answers

Answer:

Step-by-step explanation:

LEt the surface of the ocean be at the zero level i.e at 0metres

If Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level, the distance between Trina and the sea level will be:

D = 0-(-85.6)

D = 0+85.6

D = 85.6m

If Jessie went hang-gliding and reached an altitude of 87.9 meters, the distance between Jessie and the sea level will be:

D = 87.9-0

D = 87.9m

Since the distance of Trina is less than that of Jessie, this means that Trina is closer to the surface of the ocean

Eight teams of high school students helped clean up trash in the community. Afterwards, they shared 47 pizzas equally. How many pizzas did each team get?

Answers

Answer:

We know that 8 teams of students shared 47 pizzas.

The only thing we can assume is that the 47 pizzas where divided evenly between the teams, so the number of pizzas that each team gets is equal to the quotient between 47 and 8, or:

47/8 = 5.875

But this is not a whole number, and this happens because 47 is not a multiple of 8.

Then we can do:

47 = 40 + 7

And 40 is a multiple of 8.

40/8 = 5

Then each team got 5 whole pizzas, and there are 7 pizzas left.

Now, we can assume that each pizza has 8 slices.

Then there are left 7*8 = 56 slices.

And when we divide those by the number of teams, we have:

56 /8 = 7

So each team gets 7 slices from the remainder pizzas.

Then we can conclude that each team gets 5 whole pizzas and 7 slices.

what is 54x32
bTW thIS iS foR mY aunT agaIN sO yeaH plZ hElP mEh

Answers

Answer:

1728

Step-by-step explanation:

Answer:

1728

Step-by-step explanation:

54*32=1728

How many bars of soap are in each package?

Answers

Answer:

3 bars of soap in each packet Pls mark me brainliest

Step-by-step explanation:

What is the slope of the line? PLEASE HELP

Answers

the slope of this line is 1
I’m pretty sure the slope would be one but I could be wrong
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