During spring break, a class of 14 children went to Walt Disney World in Florida. The price for each child’s ticket was $75, while each adult ticket was $85. If the total amount spent on tickets was $1,475, how many adults went on the trip?

Answers

Answer 1

Answer:

5 adults went on the trip.

Step-by-step explanation:

There are 14 children ($75 each) and the total was $1475. We need to find out how many adults were there ($85 each)

c is for children and a is for adults

equation:  $75c+ $85a = $1475

$75(14)+ $85a= $1475

$1050 + $85a = $1475

-1050                   -1050

$85a = $425

85a/85 = 425/85

a = 5

5 adults went on the trip. Hope this helps! :)

Answer 2

There were 5 adults that went on the trip.

What is unitary method ?

Unitary method is finding the value for a single unit.

According to the given question During spring break, a class of 14 children went to Walt Disney World in Florida the price for each child’s ticket was 75 dollars.

So, Cost of tickets of 14 children is

= (14 × 75) dollars.

= 1050 dollars.

Total amount spent on tickets for children and adults is 1475 dollars.

∴ Total amount spent for tickets for the adults is

= ( 1475 - 1050 ) dollars.

= 425 dollars.

Given price of one ticket for adult is 85 dollars, So for 425 dollars the no. of tickets will be

= 425/85 dollars.

= 5 tickets which states there were 5 adults.

learn more about unitary method here :

https://brainly.com/question/22056199

#SPJ2


Related Questions

please help me with this ​

Answers

Answer:

C) [tex] {6}^{6} [/tex]

Explanation:

[tex] \frac{ {6}^{9} }{ {6}^{3} } = {6}^{9 - 3} = {6}^{6} [/tex]

help!!!!!!!!!!!!!!!!!

Answers

Answer:D

Step-by-step explanation:s aThe function is always increasing because wether the value of x increases or decreases, the value of f(x) is increasing as well

Which points on the number line represent the quotients of these expressions?


12 devided by (-6)
-15 devided by (-3)

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

it has 2 or 3 numbers as the answers
plz answer correctly...

Answers

Answer:

-25

Step-by-step explanation:

Expressions given and solved

12/ (-6) = - 2 -15 / (-3)  = 5

-------------------------------------------------

-7 -6 -5 -4 -3  |-2|-1 0 1 2 3 4 |5| 6 7

Another function I hate these things :C can someone help!

Answers

Answer:

No, this is not a function.

Step-by-step explanation:

This is not a function because not every input goes to exactly one output. In this example, 2 is listed twice. 2 goes to both 4 and 8. Because of this, it is not a function.

Bill rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 82 cents for each mile driven. Bill had to pay$222.77 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

251 miles

Step-by-step explanation:

To answer this, we first must subtract the total Bill ended up paying by the base fee:

222.77 - 16.95 = 205.82

Now, we divide this total by 82 cents:

205.82 / 0.82 = 251

So, Bill drove the truck 251 miles

Hope this helps :)

Please show work I need help asappp 96 points

Answers

Answer:

5. a. Consecutive interior angles.

These types of angles are supplementary.

b. x + 75 +x +125 = 180

=> 2x = 180–200

=> 2x = –20

=> x = –20/2

=> x = –10

Bonus question:-

angle 1 = 48°

angle 2 = 180° –78°

= 102°

value of f :-

f + 48 + 102 = 180

=> f + 150 = 180

=> f = 180–150

=> f = 30°

Solve. X^2+8x=9
a. What number should be added to both sides of the equation to complete the square?
b. Solve for x by completing the square

Answers

Can you help me on my recent

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.


Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.

Answers

Answer:

Step-by-step explanation:

x + 64 > = 120 (thats a greater then or equal sign)

x > = 120 - 64

x > = 56...he needs to collect at least 56 more

Select all input values for which f(x)=6
Choose all answers that apply:
a) x=-7
b) x=-5
c) x=2
d= none of the above

Answers

Answer: none of the above

Step-by-step explanation: there is no such input value.

Answer:

None of the above because none of the other answers make sense

Step-by-step explanation:

3.2666 rounded to the nearest hundredth

Answers

Answer:

3.27

Step-by-step explanation:

Hope it helps!!!

Suppose a basketball player has made 291 out of 389 free throws. If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

Answers

Answer:

The expected value of the proposition is -$0.76.

Step-by-step explanation:

It is provided that a basketball player has made 291 out of 389 free throws.

Then rate of him making a free throw is,

[tex]P(\text{free throw})=\frac{291}{389}=0.7481[/tex]

The probability that he makes the next 2 free throws is:

[tex]P(\text{Next 2 free throws})=(0.7481)^{2}=0.5596[/tex]

The payout rules are:

If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50.

Compute the expected value of the proposition as follows:

Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)

                          [tex]=($38\times 0.5596)+(-$50\times (1-0.5596))\\=21.2648-22.02\\=-0.7552\\\approx -$0.76[/tex]

Thus, the expected value of the proposition is -$0.76.

A soccer ball is punted in the air. Its height after x seconds can be modeled by a quadratic function. The soccer ball reaches its maximum height of 85 feet after 3 seconds. The ball is trapped at a height of 2.5 feet, 6 seconds after being kicked. Write a quadratic function that models the height of the soccer ball, x seconds after being kicked.

Answers

Answer:

[tex]-9.31x^2+56.26x[/tex]

Step-by-step explanation:

Let the quadratic function be:

[tex]h=ax^2+bx+c[/tex]

Where [tex]h[/tex] is the height of soccer ball and

[tex]x[/tex] is the time in seconds.

Initially, at time [tex]x=0\Rightarrow h=0[/tex]

Therefore, [tex]c=0[/tex]

Given that,

[tex]x=3, h=85\\and\\x=6, h=2.5[/tex]

Putting the values and making equations in [tex]a,b[/tex] :

[tex]85=9a+3b\\2.5=36a+6b[/tex]

By solving the above equations, we get:

[tex]a=-9.31\\ and\\b =56.26[/tex]

So, the quadratic expression is:

[tex]-9.31x^2+56.26x[/tex]

You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represented by the equation y = 151x + 575 , where represents the number of days that the beach house is rented and y is the total cost of the rental. What is the cost of the security deposit ?

Answers

Answer:

The security cost is 575

Step-by-step explanation:

Given

[tex]y = 151x + 575[/tex]

x = days

y = cost

Required

Determine the security deposit

From the equation, we understand that

x represent days:

This implies that

151x represent the payment for x days.

So, the security cost is 575

(48,-30) (61,-45) (74,-60) find the y intercept

Answers

Answer:

The y-intercept is about  25.385

Step-by-step explanation:

Calculate slope from difference in  y-values divided by difference in x-values.

-15/13 is slope.

Use slope-intercept form.

Y= mx + b

Substitute values from given coordinates for y and x, then solve for b

-60 = -15/13(74) + b

-60 = -85.385 + b

-60 +85.385 = b

25.385 = b

The screenshot atttached shows the graph of this challenging question.

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]w=5(3a-b)+2\\\\w-2=5(3a-b)+2-2\\\\w-2=5(3a-b)\\\\\frac{w-2=5(3a-b)}{5}\\\\\frac{w-2}{5} =3a-b\\\\\frac{w-2}{5} +b=3a-b+b\\\\\frac{w-2}{5} +b=3a\\\\\frac{\frac{w-2}{5} +b=3a}{3}\\\\ \frac{w-2+5b}{15}=a\\\\ \boxed{a= \frac{w-2+5b}{15}}[/tex]

Hope this helps.

Which mathematical property is illustrated? ab + c = c + ab

Answers

Answer:

Distributive Property

Step-by-step explanation:

a(b + c) = ab + ac

Answer:

Commutative property

Step-by-step explanation:

plz give brainliest lol

What is the measurement CBD?
с
(4x + 7)°
(2x - 1)^
A
B
D

Answers

Answer:

57 degrees

Step-by-step explanation:

value of x = 29

Answer:

57

Step-by-step explanation:

(4x + 7) + (2x -1) = 180

6x + 6 = 180

6x = 174

x = 29

(2(29) -1 )

(58 - 1)

(57)

1. If f(x) = x2 + 4, evaluate f(6).
A 16
B) 40
C) 12
D) -16
what is itttt ????

Answers

Answer:

If it is square: B) 40. If not squaring 2 use: A) 16.

Step-by-step explanation:

f(6)= (6)^2 + 4 = 40

f(6)= 2(6) + 4 = 16

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Answers

what to find ? edit your question

what is the slope if a line passes through the points (28,86) and (34,83)

Answers

Answer:

The slope is -0.5 or -1/2

Step-by-step explanation:

the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

It is worth mentioning that any horizontal line has a gradient of zero because a horizontal line has the same y-coordinates. This will result in a zero in the numerator of the slope formula. On the other hand, a vertical line will have an undefined slope since the x-coordinates will always be the same. This will result the division by zero error when using the formula.

There are 72 eight grade students and 84 sixth grade students participating in the Fun Run competition. The students will be put into groups among their own grade and into the largest possible equal groups with no students left over. How many students will be in each group? Group of answer choices

Answers

Answer:

12 students

Step-by-step explanation:

Given that:

Eighth grade student = 72

Sixth grade student = 84

To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student

Factors of 72:

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81

The greatest factor common in both numbers is 12.

Find the distance between points M(6,16) and z (-1,14) to the nearest tenth

Answers

Answer:ririiriririrjrhr

Step-by-step explanation:

Eudueuei3iei

Find the median for the following data set: 11, 13, 17, 11, 10, 15, 11, 12, 13, 15
O 125
O 12
O 13
O 13.5

Answers

Answer:

A, 12.5

Putting them in order was this:

10, 11, 11, 11, 12, 13, 13, 15, 15, 17

and the median is between 12 and 13, which is 12.5

(Hope that helps you. ^^)

the answer is A) i think i hope i’m right

Can someone please help me with these two problems

Answers

Answer:

no

yes

Step-by-step explanation:

y < 5x - 4

1 < 5(1) - 4

1 < 1

This is not a true statement. 1 cannot be less than 1 itself so the answer is no.

7x - 4 < 28

7(0) - 4 < 28

-4 < 28

This is a true statement so the answer is yes.


1. No
2. Yes
I hope this helps

BRAINLIEST PLEASE HELP DUE IN 1 HR AND 30 MIN (22-45)

Answers

Step-by-step explanation:

Okay, don't panic. Use M-a-t-h-w-a-y. It's online and it can help with all of these problems. <3 I currently have my own OVERDUE math test to do, so I would do this all but I'm time-tight too! aha

24-3x=-6x+22
Please answer x as a fraction

Answers

Answer:

I believe if you have a letter with no value or the value is unknown you put it over 1

Answer:

x = -2/3

Step-by-step explanation:

24 - 3x = -6x + 22

solve using inverse operations

24 - 3x = -6x + 22

    + 6x     + 6x

24 + 3x = 22

-24         -24

3x = -2

/3    /3

x = -2/3

how can you find odd numbers that u can put as a fraction

Answers

Answer:

Fractions are not even numbers or odd numbers, because they are not whole numbers. They are only parts of numbers, and can be written in different ways.

Step-by-step explanation:

can someone help the lesson is about ordering.​

Answers

Answer:   [tex]3 \le x \le 5[/tex]

x is any real number between 3 and 5, including both endpoints

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

Explanation:

If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.

For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations

1/2 = 0.500

1/3 = 0.333

We see that 1/2 is larger.

-----------

The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].

We've broken the single inequality into two smaller parts.

The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]

------------

Let's solve the first inequality for x

[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]

Repeat for the other inequality as well

[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]

-------------------------

We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]

This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]

The ____ states that the sum of the measures of the interior angles of a triangle is 180°.
Koo

Answers

Triangle sum theorem

identify the slope of the represented by the equation below. y=-1 / 4 x + 7​
y=-3X+5

Answers

Answer:

M=-1/4

Step-by-step explanation:

Use the slope intercept form y=mx+b to find the slope m.

Answer:

The slope of the equation: y=-1/4x+7 is -1/4

The slope of the equation: y=-3x+5 is -3

Step-by-step explanation:

It is easier to think of the slope at the number behind the x variable. But algebraically, y=mx+b is the formula and the number that is in the value of m is the slope of the linear function.

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