5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?

Answers

Answer 1

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.


Related Questions

5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р

Answers

Answer:

Step-by-step explanation:

KP²+HP²=KH²

KP²+5²=8²

KP²=64-25=39

KP=√39

Let ​g(x)=4x +9 and ​h(x)=x+2. Find the expression.
​(h◦​g)(x)

Answers

So you plug in g(x) for x in h(x)
Since g(x) = 4x + 9, substitution that in
4x + 9 + 2
4x + 11

Solution: 4x + 11
You also can use a app called “Socratic”

⚠️URGENT PLEASEEEEE HELP!!!

Find the m

Answers

Answer

It is 112

Step-by-step explanation:

[tex]1 3/12-2/3=[/tex]

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.

[tex]\frac{13}{12}-\frac{2}{3}[/tex]

Convert to a common denominator,

[tex]\frac{13}{12}-(\frac{2}{3}*\frac{4}{4})[/tex]

[tex]\frac{13}{12}-\frac{8}{12}[/tex]

Now perform the subtraction, subtract one numerator from the other, remember, do no perfrom any more operations with the denominators,

[tex]\frac{5}{12}[/tex]

HELP ASAP !!! giving out the brainliest answer !!! plsss help (has to be correct )

Answers

Answer:

b maybe

Step-by-step explanation:

I think it may be being mentally stronger trying to help you

Help please I’m so behind

Answers

Answer: 5 and 27 as remainder

Step-by-step explanation:

EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS

How is X - 5 mathematically different from x > 5?

INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST ​​

Answers

Answer:

The result is different

Step-by-step explanation:

Hope this helps

X equals 5 in the first and x is greater than 5 in the second. This can translate to life by saying you need 5 points to get an 100 or u need to get more than 5 goals to win the game

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission

Answers

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission

98 is what percent of 280?

Answers

Answer:

35%

Step-by-step explanation:

Find the percent by dividing 98 by 280

98/280

= 0.35

So, 98 is 35% of 280

35 percent
bsjsjjdjd

Please read "The lost ship" on storyworks.

1)Read the headline. What does it suggest the article will be about?!?

2) Look at the photos or illustrations. Choose one to examine. What page or paragraph is it on? What does the picture show? What do you learn from the picture

3) Choose another photo or illustrations to examine. What page or paragraph is it on? what does the picture show? What do you learn from the picture and caption?

4) Does the article have map?

if yes, what place does it show?

Please help please please please please please please please please please.
​​

Answers

1. it suggests the article could be about the tale of a lost ship, how it became lost, or how it is doing now.
2. could you please provide a picture
3.again, we cannot see a picture
4. we cannot see if the article has a map

Assignments
Calculate the circumference and area of the circle shown below. Record your answers,
with units, on the lines provided Use 3.14 for pi.
Calendar
Files
5 in
C = πά
А = 2

Answers

Answer:

That is true

Step-by-step explanation:

You got it right

Complete the missing value in the solution to the equation.y=-2x+4

Answers

(4,-2) is the right answer.

Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain

Answers

Answer:

1. I'll Be Fine - Juice Wrld

2. ON GOD - Juice Wrld

3. Rich and Blind - Juice Wrld

The 'mean', the 'median' and the 'mode' are all measures of central tendency.
A: True
B: False

Answers

Answer: It would be True

HELP!!! Name the space figure you can form from the net.

Answers

I believe it is a triangular prism

Please help!! Prob and stats!!!

Answers

i don’t know sorry use mathaway it’s really good 11

PLEASE HELP................................!

Answers

Answer:

-6 and -4 only

Step-by-step explanation:

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

Answers

9514 1404 393

Answer:

slope: 10 m/srepresents speed in meters per second

Step-by-step explanation:

The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.

Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...

  m = (100 m)/(10 s) = 10 m/s . . . . slope of the line

The ratio of distance to time is given the name "speed", so ...

  the slope represents the sprinter's speed in meters per second.

[4]
(b) Consider two spheres of radius R = 1 with a separation d
between their centres (see figure below). Use spherical
coordinates to compute the volume, V(d), of the intersection
as a function of d. Sketch the function V(d) and explain why
V(O) = n and V(2) = 0. (You can use the formula for the
volume of a cone without derivation.)
xy plane

Answers

Answer:

Follow Sammy Revv on Spotify and you'll get a 100% on your test

Step-by-step explanation:

-x + 6 = 15, x = _________ what does x equal

Answers

Answer:

15-6

Step-by-step explanation:

if it helps don't forget to like and mark me

x=-9

Hope this helps :T

According to the scatter plot shown, what approximate income should a 24-year old have?
Income
45,000
40.000
35,000
30,000
25.000
20,000
15,000
10,000
5,000
O
16 18 20 22 24 26 28 30 32
Age
$35,000
$25,000
$20,000
$30,000

Answers

Answer:

25,000

Step-by-step explanation:

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

Does anyone know the answer to this one ???


What number divided by −3 gives 12 as the result

Answers

Answer: -36

Step-by-step explanation: a negative and a negative give a positive so -36/-3=12

(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)

If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X, ​

Answers

Answer:

The answer is option C..........

To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.

What is line segment?

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.

The slope of AB can be calculated using the formula:

mAB = (y2 - y1) / (x2 - x1)

Similarly, the slope of CD can be calculated using the formula:

mCD = (ya - Y3) / (xx - X3)

If mAB = mCD, then AB is parallel to CD.

Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)

For more details regarding line segment, visit:

https://brainly.com/question/30072605

#SPJ7

(PLEASE HELP) A group of people are sharing some pie. Each person gets the same amount of pie.
Which sentence represents each person getting of a pie?
A. 4 people share 1/5 of a pie.
B. 5 people share 1/4 of a pie.
c. 4 people share 5 pies.
D. 5 people share 4 pies.

Answers

Answer:

a.4 people share 1/5 of a pie

Step-by-step explanation:

the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?

Answers

i honestly have no idea

When evaluating special offer decisions, management should consider: (Check all that apply.)

Answers

Answer:

Incremental Costs.

Available Capacity.

Incremental Revenues.

Existing sales.

Step-by-step explanation:

(05.03 LC)A polygon is shown:

A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 3 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)

Numerical Answers Expected!

Answers

Answer:

Do u have a picture? I can answer it better where its correct

Step-by-step explanation:

Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18

Answers

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

I have to go to a few places but my friend needs help with this specific equation!

Thank you!
~Hocus Pocus

Answers

they are adjacent and x=20

Answer:

Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:

7x+x+20=180

Then, you combine the xs and you would get this:

8x+20=180

Then, subtract 20 from both sides like this:

8x=160

Lastly, you would divide 8 by both sides and get x which is:

x=20

Step-by-step explanation:

I hope this helped you!

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