The admission fee at an amusement park is $5.50 for children and $15.00 for adults. On a certain day, 283 people entered the park, and the admission fees collected totaled $2,649.00. How many children and how many adults were admitted?

Answers

Answer 1

Answer:

Solving steps:

Explanation:

The first bit of information is about amount, and the second part is about cost. We will make an equation for each one. Just so you know, I'm going to abbreviate "children" to c and "adults" to a .

The first equation is about amount. So since the total amount of people that came was

283

, this is the equation:

c + a = 283

The second is about cost. Children cost

$5.50 and adults cost $15.00, so we can make this equation:

=> 5.50c + 15.00a = 2,649.00

Now rearrange the first equation so that we can solve for one of the variables:

c + a = 283 → c = 283 − a

Substitute it into the second equation:

5.5c +15a = 2,649

5.5(283 − a) + 15a = 2,649

1,556.5 − 5.5a + 15a = 2,649

1,556.5 + 9.5a = 2,649

9.5a = 1,092.5

a = 115

115 adults came.

Now substitute the value of into this equation and solve for c

.c = 283 - a

c = 283 - 115

c = 168

168 children came.


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Answer:

4p

Step-by-step explanation:

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If x = 9, is AE parallel to BD ? why or why not?​

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Answer:

To find : The error in the solution and what additional step needs to be completed?

Solution : The mistake is the step 3 and additional step need to be added after it.

Step 1 - \log x -\log_5 3 = 2\log_5 3logx−log

5

3=2log

5

3

Step 2 - \log x = 3\log_5 3logx=3log

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Step 3 - \log x =\log_5 3^3logx=log

5

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3

Step 4 - \log x=\log_5 27logx=log

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Applying change base rule of logarithmic, \log_b a=\frac{\log a}{\log b}log

b

a=

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loga

Step 5 - \log x=\frac{\log 27}{\log 5}logx=

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Step 6 - \log x=\frac{1.431}{0.698}logx=

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Step 7 - \log x=2.050logx=2.050

Step 8 - x=10^{2.050}x=10

2.050

Step 9 - x=112.20x=112.20

From step 4 to 9 is the required steps.

Change 288 square inches to feet

Answers

[tex]______________________________________________[/tex]

[tex]\huge\rm{ANSWER:}[/tex]

2 square feet

[tex]\huge\rm{GIVEN:}[/tex]

Change 288 square inches to feet

(Keep in mind that 1 feet equals 12 inches)

[tex]\huge\rm{SOLUTION:}[/tex]

Follow these steps to convert to square feet.

Step 1: Convert an inch to a square inch.

If 1 feet equals 12 inches, then

1 square feet equals (12) inches equals 144 square inches

As a result, 144 square inches equals one square feet.

Step 2: Using the unitary method, we obtain

288 square inches = 288/144 square feet.

288 square inches = 2 square feet

As a result, 288 square inches equals 2 square feet.

[tex]______________________________________________[/tex]

What fractions are greater than 7/12

Answers

Answer:

8/12 and higher. To ensure an accurate answer, are there other fractions to compare "7/12" to?

Step-by-step explanation:

How many solutions can be found for the system of linear equations represented on the graph?

A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

Infinetly many (d)

Step-by-step explanation:

The graphs are the same, so they will all have the same solutions.

hope this helps!

ibrahim

choose the sentence that complete the fact family like 3×6=18 18÷6=3 6×3=18 is it a 6÷3=2 b 18÷3=6 c 9÷3=3 d 18÷9=2 is it abc or d​

Answers

Answer:

b 18÷3=6

Step-by-step explanation:

The fact family contains 3,6and 18

since 3×6=18,18÷6=3and 6×3=18

∴ you need to look for numbers that contain 3,6and18. when you find the number make sure to check that they are not in the question, if it is not in the question then that is your answer.

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How do I find the ordered pair with an x-value of 2, for the equation f(x)=4x-1? What is the ordered pair? urgent please

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Answer:

(2,7)

Step-by-step explanation:

Plug in 2 for x for f(x)

[tex]4(2) - 1 = 7[/tex]

So the answer will be (2,7)

6. How do you write 100 as a power of 10?

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Answer:10 to the 2nd power

Step-by-step explanation:

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Answer:

3:2

Step-by-step explanation:

if they won 3/5 games, then the other 2 were lost so the ratio would be 3:2

Urgent need help pls answer with correct explanation

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Answer:

See below.

Step-by-step explanation:

Question 1:

A beach ball is a sphere. It's that simple.

Question 2:

This requires your eyes to find it. On the right-middle side, there is a prism that says 3, 2, and 4. The order to multiplying this is 3 * 2 * 4. The answer is 24.

Question 3:

Can't solve this sorry. :(

Alguien que me explique como se saca la integral de este:

Answers

The integral distributes over the sum:

[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \int 4x^{\frac34} \, dx + \int 2x^{\frac34} \, dx + \int 4x^{\frac12} \, dx + \int 2x \, dx + \int 2 \, dx[/tex]

Then just integrate each term using the power rule; if n ≠ -1, then

[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]

Then your integral is simply

[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \frac{4x^{\frac34+1}}{\frac34+1} + \frac{2x^{\frac34+1}}{\frac34+1} + \frac{4x^{\frac12+1}}{\frac12+1} + \frac{2x^2}2 + \frac{2x^1}1 + C \\\\\\ = \frac{16}7 x^{\frac74} + \frac87 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C \\\\\\ = \boxed{\frac{24}7 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C}[/tex]

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Answers

Answer:

6

Step-by-step explanation:

the gcf of 48 and 54 is 6,the gcf of 60 is 60.

evaluate the expression (3x2)^2

Answers

Hey there!


(3 * 2)^2

= (3 + 3)^2

= 6^2

= 6 * 6

= 6 + 6 + 6 + 6 + 6 + 6

= 12 + 12 + 12

= 24 + 12

= 36


Therefore, your answer is: 36



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

(3 × 2)² = 36

Step-by-step explanation:

Given expression,

→ (3 × 2)²

Evaluating the expression,

→ (3 × 2)²

→ (6)²

→ 36

Hence, the answer is 36.

Elizabeth takes home $576 each week at her job as a clerk-typist. If she gets an 8% raise, how much will she take home each week?

Answers

Answer:

622.08

Step-by-step explanation:

576 × (0.080 ÷ 1)

576 × 1.08

622.08

Answer:

622.08

Step-by-step explanation:

hope it helps you


Which is the product of 7/9 and 6?
O A. 1 4/9
о в. 3 7/9
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Answers

Find attached the workout of the sum

out of 30 students in a class,5 said they ride there bikes to school. based on these relusts, how many of the 600 students ride there bike to school

Answers

Answer:

125 students ride their bike to school

Step-by-step explanation:

We can set a proportion.

5 / 32 = x / 800

where x is the number of students out of 100 who ride their bikes.

Cross multiply.

32x = 4000

Divide both sides of the equation by 32.

x = 125

125 students out of 800 students ride their bikes to school.

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Answer:

U just said a random thing

Step-by-step explanation:

Numbers x and y both squared and added

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Answer:

2x² + 4y²

according to your given information.......

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Answer: the answer is x+8= 1

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Answer:

Part 1) The ratio of buttons in package A to package B is 7:12

Part 2) For every 1 button in package C, there are 5 in package D.

Part 3) The ratio of buttons in package A to the total number of buttons is 1:5

Step-by-step explanation:

Part 1.

To find the ratio of buttons in package A to package B, we first have to identify how many buttons are in each package.

Package A: 35

Package B: 60

One way we can find the ratio of 35 to 60 is to find a common factor between the two numbers.

Well, both 35 and 60 have a common factor of 5.

Now we divide both numbers by 5 to simplify

35 / 5 = 7

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Part 2.

To find the answer to this, we have to find the ratio of buttons in package C to package D.

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Package D: 50 buttons

Now we find a common factor between the two numbers

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Part 3.

To find this ratio, we have to identify the number of buttons for both sides.

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Easy word problem (click photo)

Answers

Answer:

90 apples

Step-by-step explanation:

1st class did 1/3, 1/3 of 60 is 20, 60-20 is 40, 40 into 2.25 or 2 1/4 = 90 because 40 x 2 = 80 and 1/4 of 40 is 10, 10+80 = 90, so the second class needs 90 apples

Answer:

90 apples

Step-by-step explanation:

First, we need to find 1/3 of the total number of pies, which is the number of pies the first class made. To do this, we divide 60 by 3 (or multiply 60 by 1/3):

60 ÷ 3 = 20

This means the first class made 20 pies and that the second class has to make 40 pies (60 - 20 = 40)

1 pie needs 2 1/4 apples

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This means 90 apples are needed for the second class to make the remaining pies

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Answer:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

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then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.Step-by-step explanation:

Hey guys, I need your help!

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Answers

Step-by-step explanation:

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The steps for this is in the picture.

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Answer:

9a(9b-10)

Step-by-step explanation:

Prepare a frequency distribution for the data set.
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Answer:

Frequency means the number of times the value occurs in the data set.

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Height   Frequency

63                5

64                1

65                6

66                2

67                3

68                3

69                4

70                0

71                 2

72                4        

Total          30

At a party there are 40 prizes, which are either kazoos or whistles. The tape diagram shows the ratio of kazoos to whistles.


Complete the table.
Original ratio Prizes at the party
Kazoos 3 : -
Whistles 5 : -
Total prizes - :40

Answers

Out of the 40 prizes, 15 prizes were for Kazoos and 35 prizes were for whistle

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the diagram, the ratio is represented, hence:

Number of Kazoos = (3/8) * 40 = 15

Number of whistles = (5/8) * 40 = 35

Out of the 40 prizes, 15 prizes were for Kazoos and 35 prizes were for whistle

Find out more on equation at: https://brainly.com/question/2972832

at a stationery store 6 pens were sold at $20. Mr. wong bought pens for his 36 students. each student got 2 pens. how much did he spend altogether?​

Answers

Answer:

[tex](20 \div 6) \times (36 \times 2) = 3.30 \times 72 = 237.60[/tex]

HOPE IT HELP!!

Do You Know H
-hen
r
In 3-5, roundt
whole number
3.
23
3
In 6 and 7. esti
What does 2 3/4 round to in whole number
Math

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when we rewrite 2 3/4 as an improper fraction, we can get 11/4.

11 divided by 4 gives us 2 remainder 3.

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How do the terms in Pattern B relate to the terms in Pattern A?

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Pattern B: 15, 30, 45, 60, 75
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Answers

Answer:

pattern B

Step-by-step explanation:

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Answers

Answer:

6

Step-by-step explanation:

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