A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?

Answers

Answer 1

Answer:

$37

Step-by-step explanation:

Plan A: 4n + 3d = 467

Plan B: 5n + 4d = 593

4n + 3d = 467

4n = 467 - 3d

4n/4 = 467/4 - 3d/4

n = 116.75 - 3/4d

5n + 4d = 593

5(116.75 - 3/4d) + 4d = 593

583.75 - 3.75d + 4d = 593

0.25d = 593 - 583.75

0.25d = 9.25

0.25d/0.25 = 9.25/0.25

d = 37


Related Questions

6 batteries cost 29 dollars what is the unit rate?

Answers

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]

maurice read 10 pages that is 50 percent of the paper lenght what i the paper lenght​

Answers

Answer:

Would it not be 20?

Step-by-step explanation:

Answer:

The answer is 20

Step-by-step explanation:

If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.

Hey ill give brainlist

Answers

Answer:

[tex]2.\:\frac{41}{9}[/tex]

Step-by-step explanation:

Recall that [tex]\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}[/tex].

Therefore, [tex]4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}[/tex].

Answer:

B is correct answer.................

witch equation represents a linear function

Answers

Y=3x2+1
Hope this helped :)

In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

Find the smallest non-zero whole number n such that 756n is a perfect cube.

Answers

Step-by-step explanation:

756 = 2² * 3³ * 7.

For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.

How to get from 2² to 2³: Multiply by 2.

3³ has already a power that is a multiple of 3.

How to get from 7 to 7³: Multiply by 7².

Hence n = 2 * 7² = 98.

Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation

Answers

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.

A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

15.69 feet
18.01 feet
27.89 feet
36.72 feet

Answers

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Know more about trigonometry here:

brainly.com/question/26719838

SPJ2

Which of the following is a solution to the system of two equations y = 3x – 7 and 4x – 5y = -20?

Answers

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Which of the following fractions is equivalent to -88/248 in least common terms?

Answers

Answer:

Its would be A -11/31

Step-by-step explanation:

Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Analysis of the elements in the set B

[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

Casandra earned 520$ this month by walking her neighbors dog . This is a 30% increase from amount she earned last month

Answers

Answer: last week she earned $364.

Step-by-step explanation:

answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF

Answers

I'm confused about what is this

What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?​

Answers

Answer:

the answer is 3x^2 + 8x + 1

Step-by-step explanation:

(I used x as the variable due to the invalid difference of variables in your question )

To find the correct answer, I had to use polynomial division.

(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)

= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)

= 3 x 2 + 8 x + 1

Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.

Which equation shows the relationship in the table between the time, t, and the depth, d?

Answers

Answer:d

Step-by-step explanation:


The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elevator is 20 feet below ground level. Which statement describes
the elevator's rate of change in elevation during this 15-second interval?

Answers

Answer:

elevator travel 4.5 feet per second

Answer: A

Step-by-step explanation:

the answer is A

EASY WORK!! Please look at the picture and yes it’s easy for people but not for me .

Answers

Answer:

299

Step-by-step explanation:

well, its 299 lol i ust did it somehow

Answer:

229

Step-by-step explanation:

650 / 100 = 6.5

6.4 times 46 = 299

aight can someone help me lol

Answers

It’s gonna be -1/8 correct me if I’m wrong:)

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.

Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.

Side PQ = 8 m

Therefore, side ST = PQ = 8 m

Lin’s second pan has a length of \frac{8}{3} inches, a width of \frac{15}{4} inches, and a height of \frac{3}{2} inches.

Answers

Answer:

15

Step-by-step explanation: so i did 8/3 x 15/4 x 3/2 and got 15

What is an angle that is complementary to DGE?

(Please hell I’ll reward)

Answers

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Solve: 33 + 27 ÷ 9 + (30 ÷ 5)

Answers

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

-44 x -44 × -44 × -44 =

Answers

Answer:

3748096

Step-by-step explanation:

Which equation describes the pattern of the data in the table?
Х
3
4 5 6 7
12 16 20 24 28
у
A y = 4x
B y = 4x+12
1
y = -X
1 x +12
D
4

Answers

Answer:

Option A. y = 4x

Step-by-step explanation:

From the question given above, the following data were obtained:

X >> Y

3 >> 12

4 >> 16

5 >> 20

6 >> 24

7 >> 28

Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:

For Option A:

1. y = 4x

x = 3

y = 4 × 3

y = 12

2. y = 4x

x = 4

y = 4 × 4

y = 16

For Option B:

1. y = 4x + 12

x = 3

y = 4(3) + 12

y = 12 + 12

y = 24

2. y = 4x + 12

x = 4

y = 4(4) + 12

y = 16 + 12

y = 28

For Option C:

1. y = ¼ x

x = 3

y = ¼ × 3

y = ¾

2. y = ¼ x

x = 4

y = ¼ × 4

y = 1

For Option D:

1. y = ¼x + 12

x = 3

y = ¼(3) + 12

y = ¾ + 12

y = 51/4

2. y = ¼x + 12

x = 4

y = ¼(4) + 12

y = 1 + 12

y = 13

From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.

The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.

Answers

Answer:

Step-by-step explanation:

A. $154.20 * 0.65   = $100.23

B. $91.96 * 0.70 = $64.37

C. $47.60 * 0.75 = $35.70

D. $84.60 * 0.80 = $67.68

Which table represents the statement "Di runs at a rate of 4 meters per second " ?​

Answers

Answer:

The third one Edg

Step-by-step explanation: Brainlest plzzz

need help asap please

Answers

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

I need help with this

Answers

Gradient is 1/4 or 0.25

Answer:

1/4

Step-by-step explanation:

As 4 units move to the right, 1 unit goes up. Using the formula for slope:

Rise / Run

The gradient of the blue line is 1/4 or 0.25

A dripping faucet leaks 40 gallons of water per day.

How many gallons does the faucet leak in 2 days.

Answers

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

i need help plz
State the coordinates of the point.

Answers

Answer:

(-5,8)

Step-by-step explanation:

Hope this helps ;)

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