Mathematics College

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

Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?​

Answers

Answer:

11/68 or 0.1618

Step-by-step explanation:

Balls

Black - 6White - n

Options of getting 3 balls

1. White, black, black2. Black, white, black3. Black, black, white

Probability P(n) in each option

1. WBB

P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)

P(n) =

P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)

2. BWB

P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)

P(n) =

P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)

3. BBW

P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)

P(n) =

P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)

Final equation is same for each case:

P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)

The easy way to find the maximum is to try the numbers or graph.

Both of the methods give the maximum integer n = 11 or n = 12

See attached graph

At both values n we get P(n):

P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)

A rectangle has an area of 82 ft2. What is
the length if the width is 10 ft?

Answers

Answer:

187

Step-by-step explanation:

7.43+9.25 Show Your Work

Answers

Answer:

16.68

Step-by-step explanation:

just add them like regular numbers then just put the decimal

Help Please! Question on picture.

Answers

Answer:

A) 1/2x-6=-2x-1

B) x=2

Step-by-step explanation:

question A is asking to set up a system of equations

f(x)=g(x) is the original expression

substitute the equations into this to get 1/2x-6= -2x-1

for b, when you solve this equation you get x=2

sorry for the formatting I'm new here

the target temperature for a laboratory is 71° f. it can vary by up to 3°. if t is the temperature in the laboratory, which of the following inequalities represents this situation?​

Answers

Answer:

|t-71| < 3

Step-by-step explanation:

The  inequalities represents this situation is | t - 71 | < 3 .

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size

According to the question

The target temperature for a laboratory = 71° f.

it can vary by up to 3°. (highest limit)

the temperature in the laboratory represented by t

Now,

inequalities represents this situation is

| t - 71 | < 3

Hence, the  inequalities represents this situation is | t - 71 | < 3

To know more about inequalities  here:

https://brainly.com/question/20383699

#SPJ2

At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?

Answers

Answer:

12

Step-by-step explanation:

2-cones

3-ice cream flavors

2-sprinkles

2 x 3 x 2 = 12

plz mark brainliest :)

which triangles are congruent in the figure

Answers

Answer:

Step-by-step explanation:

The two triangles that are congruent are ABE and CBD by SSS.

12- (-5) + (-4 ) calculate

Answers

13teen is the answer because -5 plus -4 equals-9 so when you subtract a positive which is 12 that’s what you get.

Is -8 a rational number

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

because it is

Which equation is equivalent to 1/5x - 3 = 2/3
A : x-15=10
B : 3x-15=10
C : 3x-45=10
D : 5x-45=3​

Answers

Yes the answer would be a

Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).
A. y−5=−109(x+3)
B. y−7=−109(x+4)
C. y+3=−109(x+5)
D. y+4=−109(x−7)

Answers

Answer:

y+4=–109(x-7)

please mark as brainliest

Give the ratio for sine (e) in decimal form to 4 digits.
13
11
5

Answers

.0147

I am a jedi master

Find the measures of the numbered angles of the parallelogram.

Answers

Answer:

1=40

2=140

3=40

Step-by-step explanation:

We know on side

140 and side 2 are equal

1 and 3 are equal

So since 140 and 2 are equal

140*2=280

360 degrees total in any 4 sided shape

360-280=80

80/2=40

P+45267=87012 evaluate

Answers

Answer:

p+45267=87012

We move all terms to the left:

p+45267-(87012)=0

We add all the numbers together, and all the variables

p-41745=0

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

p=41745


what is the domain of the function on the graph?

Answers

Answer:

c

Step-by-step explanation: because

what is $7.50 with a added 6% sales price.​

Answers

Answer:

0.0125 dollars per sales

hope this helps

Step-by-step explanation:

Answer:

7.89 i believe i looked it up

What is the standard deviation of this data set?
12, 14, 9, 11, 10, 15, 16, 12, 7, 14

Answers

Answer:

The standard deviation is 2.6832815729997

Step-by-step explanation:

SD^2=(12-12)^2+...+(14-12)^2/10

SD^2=72/10

SD^2=7.2

SD=squeare root of 7.2

SD=2.6832815729997

Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three​ sides?
What is the length of the two sides that have the same​ length?

Answers

Answer: 5

Step-by-step explanation:

x = common side length

2x + (2x - 6) = 14

4x - 6 = 14

4x = 20

x = 5

Determine 0.929229222922229222229

Answers

Answer:

0.93

Step-by-step explanation:

BC -
Round your answer to the nearest hundredth.
B
?
35
A
с
2.

Answers

Answer:

BC ≈ 1.40

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 Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg BC = x

Adjacent Leg AC = 2

Step 2: Solve for x

Substitute [Tangent]:                    tan35° = x/2Isolate x:                                        2tan35° = xRewrite:                                          x = 2tan35°Evaluate:                                        x = 1.40042Round:                                            x ≈ 1.40

Tangent (Angle) = Opposite side / adjacent side

Tangent(35) = BC/2

Multiply both sides by 2:

BC = 2 x Tangent(35)

BC = 1.40042

Rounded to nearest hundredth:  BC =  1.40

Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3

Answers

Let 3n + 1 denote the "number" in question. The claim is that

(3n + 1)² = 3m + 1

for some integer m.

Now,

(3n + 1)² = (3n)² + 2 (3n) + 1²

… = 9n² + 6n + 1

… = 3n (3n + 2) + 1

… = 3m + 1

where we take m = n (3n + 2).

Helpppppppp.................​

Answers

What’s wrong?? ......

John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?

Answers

Answer:

9 Meters Squared

Step-by-step explanation:

First multiply 6 by 12 to find the area of the whole field:

[tex]6*12=72[/tex]

Then divide that area by 8:

72/8=9

So:

9 meters squared

Please help at answer least one question please number it!!

Answers

4. Is positive 63

I think so

Answer:

1. 88

2. -17

3. -10

4. -16

5. -14

6. 44

7. -76

8. 18

Step-by-step explanation:

Hope this helps :D

I'm supposed to solve for PQ. it's pythagorean theorem.​

Answers

Answer:

29 i think

Step-by-step explanation:

pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29

Explain what method is used to solve problems involving scale drawings.
A. Use a proportion
B. Make an educated guess
C. Get a ruler or tape measure and measure the distance
D. Make a drawing on paper

Answers

The answer would be A. Use a proportion

help me please!!!!!!​

Answers

Answer: sin(C) = 3/5

==========================================================

Explanation:

Recall that sine is the ratio of opposite over hypotenuse.

For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.

So,

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 24/40

sin(C) = (8*3)/(8*5)

sin(C) = 3/5

If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.

Answer:

Step-by-step explanation:

Solution

Here,

H=40

P=32

B=24

Now,

sinC=p/h

      =32/40

      =4/5

Where, 4 is perpendicular and 5 is hypotenuse.

Hope it helped you.

Plz mark me brainliest.

Solve the expression (w - z)²​

Answers

It will be (w-z) (w-z) hope this helps!

FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!

Answers

Answer:

We know that the figure has a symmetry

angle 1 = angle 2

angle 1 =180°-(18°+90°) = 180° - 108°=72°

Therefore, angle 2 =72°.

Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

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