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

find the length x

help pls , need asap

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{6}{x}[/tex] = [tex]\frac{3}{4}[/tex]

cross multiply

3x = 6(4)

3x = 24

divide

x = 8

4:3=x:6
x=4•6/3
x=24/3
x=8
Check:
6/3=2
8/4=2
Good luck.

PLEASE HELP!!
What value if m makes the equation true??
m+2m-6 =-12+2m
m=?????

Answers

I think m = -6, but im not 100% sure

what is the diameter of a circle with a circumference of 27 centimeters?

Answers

Answer:

diameter = 8.6 cm

Step-by-step explanation:

diameter = 27/π = 8.6 cm

The total bill for drinks and a pizza for three people is $1490 before tax the group wants to leave a 15% tip on the cost for the food, not including tax, what will be the amount of the tip?

Answers

Answer:

223.50

Step-by-step explanation:

1490x .15 = 223.50

Which number best represents the probability that an event is very unlikely to occur?
A) 1.25
B) 0.50
C 0.97
D) 0.05
Helpppp fastttt

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

? Miss mama just say the answer

Which statements must be true to model a data set using a normal distribution?

The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.

Answers

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato/Edmentum

Find the volume of the following figure using unit cubes.

Answers

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

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

40 + 30 + 24 = 94

A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is​

Answers

Answer: $192.50

Step-by-step explanation:

wages for 40 hrs + wages for overtime work

$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)

$192.50

Credit: anjalijalan3126

Surface area formula
of a parallelogram prism

Answers

SA=bh (surface area for parallelogram prism)

Find the value of x pls help with this

Answers

The answer of this might be 9.75
Yes the answer is 9.5

1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(

Answers

Answer:

C

I have done the math on a calculator. :p

Answer:

C

Step-by-step explanation:

First you Just Divide

and the remainder

will be R4 and it's 76÷6

An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms

Answers

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

The area of a. square field is 100m square. what is the perimeter of the field?​

Answers

answer:the Perimeter is 40m

help please i really need this done

Answers

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

above ^^^ is the right answer. the guy above me :)

Select the correct graph.

Which graph represents function f?

Answers

Answer: top right graph

Step-by-step explanation: Put in calculator and you will find the answer

Pls help 20 points !

Answers

Answer:

the answer is 168 is the answer

(Will dive brainly!! please!!)

The Steven's family owns a house worth $280,000, of which they still owe $113,545 on the mortgage. They also own two cars, one worth $5,200 and the other worth $15,600. They still owe $9,200 on one of the car loans. They have $2,300 in credit card debt and owe $18,200 for their daughter's wedding. What is their net worth?


A) $157,555
B) $162,155
C) $300,800
D) $143,245

Answers

9514 1404 393

Answer:

  A) $157,555

Step-by-step explanation:

The sum of assets is ...

  house + 2 cars = $280,000 +5,200 +15,600 = $300,800

The sum of liabilities is ...

  mortgage +car loan +credit card +wedding

  = $113,545 +9,200 +2,300 +18,200 = $143,245

The family's net worth is the difference between assets and liabilities:

  $300,800 -143,245 = $157,555

Julie is deciding which bank she should invest $5.000 with in order to maximize her
return. Select the answer that would earn Julie the most money after 10 years.
a. Bank A offers 6% APR compounded annually
b. Bank B offers 6% APR compounded semi-annually
c. Bank C offers 5.1% APR compounded daily
d. Bank D offers 6.3% APR compounded monthly

Answers

The answer is C to your question

Answer:d

Step-by-step explanation:

(X-1)(-5X+1)=0
lesser X=
Greater X=

Answers

Lesser X= 1/5 (-5x+1)
Greater X= 1 (x-1)
Hope this helps!

Answer:

lesser x is -5x+1

Greater x is x-1

A number squared, then increased by 4, I need the equation.

Answers

See order to find out ave dvide is to research and hive

A jewerler had a fixed amount of gold

Answers

Answer:

ohhhhh and who is the jeweler

What is 0.0475 converted to a percentage

Answers

Answer:

0.0475 = 4.75%

Step-by-step explanation:

Answer:

4.75%

Step-by-step explanation:

Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.

The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.

[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is:  4.75%

Drag the expressions into the order in which the expressions are listed from greatest value to least value. Place the expression with the greatest value at the top and the one with the least value at the bottom.
(5280×10)−(314×10)

5280−314

10.6× (5280 −314)

(5280−314)÷111

Answers

Answer:  1.  (5280 - 314) ÷ 1/11  2.  10.6 x (5280 - 314)  3.   (5280 x 10) - (314 x 10)  4.   5280 - 314

Step-by-step explanation:

I did the test!
Answer:

Greatest expression=10.6× (5280 −314)

Least expression= (5280−314)÷111

Step-by-step explanation:Definition of greatest value and least value

The greatest value is the maximum value in given observation and least value is the minimum value in the given observation.

Solution of first expression

[tex](5280*10)-(314*10)= 52800-3140\\=49660[/tex]

Solution of second expression

[tex]5280-314= 4966[/tex]

Solution of third expression

[tex]10.6*(5280-314)=53632.8[/tex]

Solution of fourth expression

[tex](5280-314)/111=44.74[/tex]

From the above observation we can observe that greatest and least value are 53632.8 (which is third expression ) and least value 44.74(which is fourth expression)

To know more about solving expression

https://brainly.com/question/23180795

#SPJ2

There are 9 cherry trees in Edgar's orchard, and he wants to plant more. It takes him an hour to plant each tree.
Let h represent the number of hours Edgar spent planting and c represent the total number of cherry trees he will have.

Answers

1: 1

3: 4

5: 9

7: 16

sorry if this doesn't make sense if it does i hope it helped:)

The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie

Answers

Answer:132.25π  m²

Step-by-step explanation:The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π

Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.

If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units

Answers

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ3

PLEASE HELP!!!!!!!!!!

The Expression
12
3+9
is what:
A: Sum
B. quotient
C. difference

Answers

Answer:

Sum

Step-by-step explanation:

It needs 2 be 20 characters so dont mind me . . .

wait hol up i took the test again sorry um it quotient

If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?​

Answers

Answer:

93.75 miles if im not mistaken

Step-by-step explanation:

because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.

What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.

Answers

Answer:

13/52

Step-by-step explanation:

please help me.. I don't understand what it is..

Answers

9514 1404 393

Answer:

  22.6

Step-by-step explanation:

The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...

  d^2 = 16^2 +16^2 = (16^2)(2)

Taking the square root, we have ...

  d = 16√2 ≈ 22.6 . . . . inches

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