The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 332
people entered the park, and the admission fees collected totaled 898.00 dollars. How many children and
how many adults were admitted?

Answers

Answer 1

Answer:

172 kids and 160 adults

Step-by-step explanation:

We can create two equations with the information given.

1.5x + 4y = 898

x + y = 332

We can then bring the x in the second equation over to the other side.

y = 332 - x

We can now plug this equation into the one before.

1.5x + 4(332 - x) = 898

We now do the distributive property on the equation and result with

1.5x + 1328 - 4x = 898

Then we can combine like terms and add 1.5x and -4x together and bring 1328 over by subtracting it from 898.

-2.5x = -430

-430 / 2.5x = 172

x = 172

x is defining how many children when to the park.

Now we just need to figure out y by subtracting it from the total amount of people (aka plugging it into the second equation)

y = 332 - 172

y= 160

We end up with

x = 172

y = 160

172 children and 160 adults


Related Questions

How do I isolate R?​

Answers

S = (HR(Wi - Wn)) / 1000.

First, multiply both sides by 1000.

1000S = HR(Wi - Wn)

Divide bot sides by H(Wi - Wn)

(1000S) / H(Wi - Wn) = R

2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.

Answers

He works 40 hours a week.
The answer is 40 if you divide 480 by 12 you’ll get 40

Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15

Answers

Answer:

45,42,126

multiply by 3

The next three terms in the sequence are : 45, 42 and 126

Given the sequence 2, 6, 3, 9, 6, 18, 15

Rule :

Multiply the first term by 3 to obtain the second term Subtract 3 from the 2nd term to obtain the third term The third term is multiplied by 3 to obtain the fourth term Subtract 3 from the fourth term to obtain the fifth term. And the process continues....

Starting with the first term ; 2 ;

2nd term = 2 × 3 = 6

3rd term = 6 - 3 = 3

4th term = 3 × 3 = 9

5th term = 9 - 3 = 6

6th term = 6× 3 = 18

7th term = 18 - 3 = 15

8th term = 15 × 3 = 45

9th term = 45 - 3 = 42

10th term = 42 × 3 = 126

Hence, the next three terms of the sequence are : 45, 42 and 126

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1/2 + .50 + 1/5 help ):

Answers

Answer:

the answer is 1.2 or 1 1/5

Step-by-step explanation:

Answer:

.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5

Step-by-step explanation:

-7x+4y+9-4x=-7-5-5(-x-3y)

Answers

Answer:

for x = −11y/16+ 21/16

for y = 16x/11 +21/11

Step-by-step explanation:

M little sister needs help with a geometry problem

Answers

Answer:

Segment bisector = KL

IJ = 11⅓

Step-by-step explanation:

Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.

Length of IJ:

From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.

Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓

Segment bisector = KL

IJ = 11⅓

what is y to the 2 power = 81

Answers

Answer:9

Step-by-step explanation:

A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt. P (X equals k )equals (1 minus p )to the power of k minus 1 end exponent p Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt

Answers

This question is incomplete, the complete question is;

A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt.

p(x=k) = p^k (1-p)^k-1

Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt? Each attempt is independent of each other and answer choices are rounded to the hundredths place.

a.) 0.04

b.) 0.60

c.) 0.40

d.) 0.10

Answer: a.) 0.04

Step-by-step explanation:

Given that;

The basketball player has 60% accuracy of  free throws

Now the probability of the player successfully making a free throw on the fourth attempt.

probability of success p = 0.60

number of failure k = 3

the given p.d.f of geometric distribution p(x=k) = p^k (1-p)^k-1

{ 0 <p<= 1 , k=0,1,2,3... }

we substitute our given data

p(x=3) = 0.60^3 (1-0.6)^3-1

= (0.60)^3 (0.40)^2

= 0.216 * 0.16

= 0.035 = 0.04 ( OPTION A)

What is the slope of the line that passes through the points (-2,8) and (-22,8)? Write your answer in simplest from

Answers

Can you help me with my homework I need help grades are finalized tomorrow I posted the pictures on my Paige

identify the range of a function plsss help

Answers

Answer:

C.

Step-by-step explanation:

Range is the set of y-values that are outputted by x-values in a function.

We see that our y-values span from -1 to 3, and since they are closed dots, they are included in our range. Therefore, our range is C.

5n +5y+5n+6a+2d
Can You intelligent people please help me with this

Answers

Answer:

6a+2d+10n+5

Step-by-step explanation:

Answer:

I believe you're trying to simplify if so then the answer is

6 a + 2d + 10n + 5y

if thats not what you're doing lmk what it is you are doing and i will help

Step-by-step explanation:

-9 - 5 "add my positive add my negative"

Answers

Answer:

-14

Step-by-step explanation:

The answer is -14 because:

1)  First, we need to know that:

negative x negative = positive

negative x positive = negative

positive x negative = negative

positive x positive = positive

2) -9 - 5 is negative times negative which makes it 9 + 5 = 14

3) Since the number with the negative sign is greater, the answer is -14

Hope this helps!

Point M is the midpoint of segment AB.
AM=3x+40 and MB=x^2. Find x and AB

Answers

[tex]\text{Hello there! :)}[/tex]

[tex]x = 8\\\\AB = 128 \text{ units}[/tex]

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]

[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]

[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]

[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]

[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]

[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]

[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]

What decimal number is illustrated?

Answers

Answer:

0.28

Step-by-step explanation:

help me please this is due today!!!!!!!!!!!!!!1111 :(

Answers

Answer:

Whatever y is you turn it to what x is plus a negative Ex: T(10, 9) U(0,9) V(0,0) W(10,0) Those are the answers.

Step-by-step explanation:

Did this help???

Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)

Answers

Answer:

Step-by-step explanation:

21:00 i believe

To qualify for a gold status at awesome airlines one must fly less than 35200 but at least 17600 miles each year if Casey takes a 800 miles round trip flight when visiting his parents how many times does Casey need to visit his parents each year to attain gold status

Answers

800 times 22 is 17600

Reply back please! Scientific Notation

Answers

Answer:

Sorry didnt realize it didnt post

2.) 1.16 x 10^-1

4.) 9.006 x 10^-9

6.) 3.68 x 10^3

8.) 6.92810457 × 10^-3

Step-by-step explanation:

Which procedures are examples of Descartes’s rules for scientific reasoning?

Answers

Keeping a detailed record of the procedure and results of a scientific experiment

Conducting an experiment to confirm the effects of gravity on Earth

Solving an expression in steps using the order of operations

Answer:

keeping a detailed record of the procedure and results of a scientific experiment

conducting an experiment to confirm the effects of gravity on Earth

solving an expression in steps using the order of operations

Step-by-step explanation: Edu

y+z+ 2; use y=-6, and z = 5

Answers

Answer:

1

Step-by-step explanation:

y + z + 2

first you have to replace the variables with the numbers

This is your equation now.

-6 + 5 + 2

Now you just have to solve it.

-6 + 5 = -1 + 2 = 1

or

7 - 6 = 1

Find the interest

earned:

$ 15,500 for 7.5 years

at 4.9% annual

compound interest

Answers

Answer:

In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest

Step-by-step explanation:

You have budgeted $3,200 per month for your total expenses. The cost of rent per month is $1,300 and the cost of food is $350. To stay within your budget, all other costs C must be no more than what amount (in $)?

Answers

Answer:

All other costs must be $1,550 or less

Step-by-step explanation:

1300+350=1650

3200-1650=1550

Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

What exactly are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).

So, cost C must be no more than:

The budget is $3200.The cost of rent and food is $1300 and $350.

Then, the remaining money will be:

3200 - (1300 + 350)3200 - 1,650$1,550

Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

Know more about mathematical operations here:

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#SPJ2

How do I solve this? Solve for x 2/3+5/3x=9

Answers

Answer:

5

Step-by-step explanation:

Solve for g.
4(g - 17) = 12
g=

Answers

Answer:

[tex]g=20[/tex]

Step-by-step explanation:

[tex]4\left(g-17\right)=12[/tex]

Divide both sides by 4:

[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]

[tex]g-17=3[/tex]

Add 17 to both sides:

[tex]g-17+17=3+17[/tex]

[tex]g=20[/tex]

Answer: g=0 or g=20 i hope this helped

what is 3/8 + 1/2 = i only have 5 minutes do finish this

Answers

Answer:

4/10

Step-by-step explanation:

this is the answer

Answer:

7/8

First Step: 1/2 converts to 4/8

Second Step: Add 4/8 and 3/8

4/8 + 3/8 = 7/8

I really need help with this question

Answers

$518.5 = $375 + $41x

Now that we have our equation, let's solve for the # of hours

Subtract $375 from both sides

$143.5 = $41x

Divide both sides by $41

3.5 = x

The number of labor hours was 3.5

Plz answer me will mark as brainliest and will be reported if wrong answer ​

Answers

Answer:

1,2,3,6,and 9

Step-by-step explanation:

18=1×18

=2×9

=3×6

=1,2,3,6and9

what is 70-30+12 then divided by 20

Answers

Answer:

2.6

Step-by-step explanation:

First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6

Answer:

Step-by-step explanation:

40.6 hope it helps

A total of 587 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

'325 adult tickets' is the ACTUAL answer

Step-by-step explanation:

I am editing this because I made a mistake beforehand

Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,

2x-63=587

Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets

Please solve this. It is confusing for me

Answers

The answer is b which is the second choice
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