A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.What rule do you think the state park uses to decide the entrance fee for a vehicle?

Answers

Answer 1

Answer:

I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.

Step-by-step explanation:

There could be a multitude of rules, but let's try to find a simple one.

I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:

a - flat fee for a vehicle

b - fee per person

then a car with x people in it would be charged

a + bx

Let's see if the fees fit this assumption:

for x = 2

a + b*2 = $14

for x = 4

a + b*4 = $20

for x = 8

a + b*8 = $32

If so, we can subtract the second equation from the first and get

a + b*4 - a - b*2 = $20 - $14

b*2 = $6

b = 3$

a + b*2 = $14

a + $3*2 = a + $6 = $14

a = $8

so the first 2 equations gave us a = $8 and b = $3.

Let's see if these values fit the 3rd equation

a + b*8 = $32

$8 + $3*8 = $32

$8 + $24 = $32

$32 = $32

It fits!

That tells us that the rule is indeed very likely.


Related Questions

If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?

Answers

To find h(k(x)), substitute k(x) into h(x):

h(k(x)) = 2x

          = 2(2x - 4)

          = 4x - 8

Thus, h(k(x)) = 4x - 8 would be your final answer.

Mr. Rosas had $90 to purchase snacks for a school party. He bought 36 bags of chips and 36 bottles of juice. Each bag of chips cost $0.69, and each bottle of juice cost $1.20. How much money did Mr. Rosas have left after these purchases?

Answers

Answer:

$21.96

Step-by-step explanation:

Total money with Mr. Rosas = $90

Total cost of chips = 36*0.69 = $24.84

Total cost of juices = 36*1.20= $43.2

Total money spent = $24.84 + $43.2 = $68.04

Money left with Mr. Rosas

= $90 - $68.04

= $21.96

please helpppppppppppppp

Answers

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

how many 3 digit whole numbers are there between 99 and 1000

Answers

Answer:

901

Step-by-step explanation:

1000 - 99 = 901

thats how you find the answer

Answer:

910

Step-by-step explanation:

Which is more 35 inches or 3 feet

Answers

Answer:

3 feet

Step-by-step explanation:

3 feet is more because 35 inches = 2 feet and 11 inches.

plz give some one answrer​

Answers

Answer:

x=120 (opp. angles of //gram)

Step-by-step explanation:

Because DA//CB and AB//DC (given)

Therefore ABCD is a parallelogram (opp. sides equal)

Therefore,

∠DAB = ∠DCB (opp. ∠s of //gram)

x = 120

The value of 23 + 33

Answers

Answer:

56 hope it helps....

hhcxxghjo9

Answer:

2^3 + 3^3 = 35

Step-by-step explanation:

You can simply use a calculator on your PC, phone, tablet, or macbook. If you just add 2 to the 3rd power and 3 to the 3rd power then you'd get 35. I'm sorry I'm not really good at math but I just wanted to give you a simpler way to do this problem considering it is not too hard to solve.

SOMEONEEEE HELLPPPPPPP PLEASE?!??!

Answers

Answer:

(1,4)

Step-by-step explanation:

the Answer is: (x,y)=(1,4)

Estimate a 20% tip on a dinner bill of $142.74 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:
X
6
?

Answers

$142.74 rounded to nearest ten dollars is $140. And so now you find 20% of 140 by multiplying 140 by .20 (which is the decimal form of 20%). You’ll get $28 and that will be tip but total bill would be $140+$28 or $142.74+$28 to be exact.

Answer:$171.29

Step-by-step explanation:

if the tip amount is around $28.55 and your putting 20% it would $171.29 but it would determine how many people they are.

Hey math can you help

Answers

So if we’re talking about meters per second, you would need to divide.

-17.5/5 = -3.5

NOW YOU THINK THATS YOUR ANSWER BUT NOO. You CANNOT have a negative second. So you take the absolute value of -3.5 and your answer would be 3.5

The rate of the anchor is 3.5 meters per second.

Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.

Answers

Answer:

The answer is "0.500".

Step-by-step explanation:

The chance that round will be won, [tex]P (win) =0.8[/tex]

The likelihood of losing round by complementary law

[tex]P(loss) = 1 -P(win)\\\\[/tex]

            [tex]=1-0.8\\\\=0.2\\\\[/tex]

Let X be the number of rounds to the first loss played.

Here, [tex]X \sim Geometric (p=0.2)[/tex]

The PMF of X is the following:

[tex]P(X=x)=p(1-p)^x\\\\[/tex]

        [tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]

The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]

Markov's Inequality:

Suppose X is any random variable that has no negatives. So,

[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]

Find the upper bound of [tex]P (X \geq 10)[/tex]

[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]

                 [tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]

 The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500

PLZ HELPPP MEEEE
Combine the radicals

Answers

Answer:

C) [tex]17\sqrt{13}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]

5.
Draw a scatter plot that shows a negative association that is not linear.

Answers

Something similar to this. It is negative because the y decreases as the x increases. It is nonlinear because you cannot make a straight line through the data points.

help please, solve for D
12
25
4
5

Answers

Answer: 81.98274589 is what i got but it will be 81 hope this helped

Step-by-step explanation:

a circus charges $2.50 for a kid tickets and $6 for adult tickets. Last weekend, twice as many kids attended the circus than adults. If the tickets sales totaled $7, 150, how many kids attended the circus?

Answers

1300 kids attend i think

Find the value of x 6x+2

Help Due in 30 mins!

Answers

Answer:

Step-by-step explanation:

(6x + 2)° + 42° + 58° = 180°

6x + 2 = 180 - 100

6x = 78

x = 13

Answer:

13

Step-by-step explanation:

There are 180 degrees in a triangle

58 + 42 + (6x +2 ) = 180

98 + (6x + 2) = 180

Subtract 98 from 180.

6x +2 = 82

Subtract 2 from 82

6x = 80

x = 13.333 or 40/3

The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

15 x 7 = 105

Which of the following number cannot represent the 3 sides of a triangle?

{14,28,39}
{4,16,19}
{4,11,13}
{5,16,21}

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

d  5,16,21 Am sure I think

Step-by-step explanation:

Answer:

{5,16,21}

Step-by-step explanation:

sides of triangle: the sum of every two sides must be greater than the third sides.

{14,28,39}

=> 14 + 28 > 39, 14 + 39 > 28, 28 + 39 > 14  (correct)

{4,16,19}

=> 4 + 16 > 19, 4 + 19 > 16, 16 + 19 > 4 (correct)

{4,11,13}

=> 4 + 11 > 13, 4 + 13 > 11, 11 + 13, > 4 (correct)

{5,16,21}

5 + 16 not > 21 (wrong)

The number line represents 1 unit. What is the distance from 0 to point C on the number line?
A) 5/2 units
B) 4/5 units
C) 3/10 units D) 4/10

Answers

4/10 Units. The number line is cut equally into 10 pieces. If you count correctly, you’ll find out point C is on the 4th spot (I couldn’t remember its name sorry)

Based on the samples collected if there are 10000 voters in the town how many voters can we predict will vote for smith

Answers

The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided

Answer:

Kindly check explanation

Step-by-step explanation:

We can make prediction about a population based on the outcome of a sample statistic.

From a random sample of voters, n ; the number who voted Smith = x

(p = x / n) gives the proportion of votes Smith will get according to the sample :

For instance :

n = 100 ; x = 10

p = 10 / 100 = 0.1

The predicted Number of votes Smith will Get if there are 10000 voters :

p * 10000

0.1 * 10000

= 1000 votes

12. Solve for x. x = ___________

Answers

Step-by-step explanation:

this is math right what grade is this

PLS HELP THIS IS FOR A GRADE AN IS TIMED

Answers

Answer: 392

Step-by-step explanation:

write a real world division problem for which you would drop the remainder


MEANING THERE WOULD BE NO REMAINDER!!!

Answers

Answer:

No remainder: Ana has 49 chocolate bars and she wants to give the same amount to each of her seven friends. How many chocolate bars would each friend get?

You have a remainder but don't use it: Ana has a 498 sticker pack. She wants to divide them amongst her 7 friends. How many stickers would each friend get if they all get the same amount?

Step-by-step explanation:

In the first one if you divide 49 by 7 you will get no remainder but in the second one you will

I didn't know what your question meant so I answered it if the problem had no remainder or if the problem did have a remainder but it is not used

Hope this helped :)

Answer:

You are a teacher holding a competition amongst your students. In your class, you have 31 children competing. The prizes that you give them are chocolates. Beforehand, you bought 2 bags of Hershey's Kisses. Inside one bag, there are 70 Hershey's Kisses. In the end of the competition, you teach your students that in your classroom, there are no winners or losers; just learners. You spread the Hershey's Kisses evenly amongst all of your students. You keep the remaining ones left. How many Hershey's Kisses do your students get?

(I hope whoever grades this for you gets a little laugh out of it lol)


Find the area of the shape shown below.

Answers

Answer:

55 units²

Step-by-step explanation:

square = 25

triangle = 30

both = 55

Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?

Answers

Answer:

Yes, SAS.

Step-by-step explanation:

3/5 = 0.6 and so does 4.8/8

PLEASE HELP WHAT ONE
Its not C

Answers

Answer:

D. (-3, 4)

Step-by-step explanation:

G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4

Answers

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

When we replace proportional sign with an equal to sign, we get

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

hence, when j =6 and m=4, the value of G = 4.5

He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.

Answers

Answer:

Lucas is not right.

Step-by-step explanation:

To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675

Solution:

Value of 6 in 76,345 = 6,000

Value of 6 in 34,675 = 600

Now 6000 = 10 × 600

So,

Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

Therefore, Lucas is not right.

Answer:

Part A: Lucas is wrong.

Part B: The value of 6 in 76,345 is 6,000 and  the value of 6 in 34,675 is 600.

Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

10 × 600 = 6,000

Step-by-step explanation:

I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!

Please mark my answer as the Brainiest!!!!!

Thank You!!!!!!!!

find the missing side. round to the nearest tenth.

Answers

Answer:

A. 5.2

Step-by-step explanation:

I was taught how to do this using the SOH CAH TOA method.

Step 1: Circle your given angle.

Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.

Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.

Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.

Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.

Step 6: Solve for x until x is by itself, then enter into your calculator.

You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.

Answers

she will need two more hours to buy the dress

This is how many hours you will need 5 hours
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