The admission fee at an amusement park is $1.25 for children and $6.60 for adults. On a certain day, 342 people entered the park, and the admission fees collected totaled $1337. How many children and how many adults were admitted

Answers

Answer 1

Let's imagine all the tickets were for children.

The fees collected would've been 342 x 1.25 = $427.5

That is 1337 - 427.5 = $909.5 less than the actual fees.

Everytime we switch 1 children ticket to an adult ticket, the gap goes down 6.60 - 1.25 = 5.35

For example, if 341 tickets were children tickets, and 1 is adult, the gap go from 909.5 to 904.15.

We do this until the gap becomes 0... So, there are 909.5 : 5.35 = 170 adult tickets

And there are 342 - 170 = 172 children tickets


Recheck : 172 x 1.25 + 170 x 6.6 = 215 + 1122 = 1337.


Related Questions

Please help
Can you also leave a step-by-step explanation?

Answers

Answer: it will take 6 weeks for both of the to have the same amount of money

Step-by-step explanation: i hope this helps :d

1. Solve.
A rectangular picture has a
width that is 2 times wider
than its length. The area of
the frame is 50 square
inches. What are the
dimensions of the frame?

Answers

Answer:

width = 10

length = 5

Step-by-step explanation:

It works

Find the area of ABC.

Answers

Answer:

Suppose, a triangle ABC, whose sides are a, b and c, respectively. Thus, the area of a triangle can be given by; Area= 30

Area = 1/2 x 15 x4 = 30 square yards

Step-by-step explanation:

Area of a triangle is 1/2 x base x height


Area = 1/2 x 15 x4 = 30 square yards

help me it it due today if you get it right I will give you the crown

Answers

Answer:

Step-by-step explanation:

You can break the entire figure into two semi-circles, two triangles, and a rectangle.

The area of a semi-circle is 1/2 the area of a full circle. The area of a circle is πr^2. The area of the semi-circle is therefore:

[tex]\pi r^2/2=\pi (10^2)/2=50\pi[/tex]

The other semi-circle also contributes a value of 50π.

Moving on to the triangle, we must use Pythagorean's Theorem to find the value of the base:

[tex]a^2+b^2=c^2[/tex]

[tex]11^2+b^2=20^2[/tex]

[tex]121+b^2=400[/tex]

[tex]b^2=279[/tex]

[tex]b=\sqrt{279}[/tex]

The area of a triangle is:

[tex]Area=b*h/2[/tex]

[tex]A=(\sqrt{279} *11)/2[/tex]

The other triangle also contributes the same area.

Finally, the rectangle. To find the length of the rectangle, we must subtract the base of the triangle from 22. The length is:

[tex]l=22-\sqrt{279}[/tex]

The area of a rectangle is:

[tex]Area=l*w[/tex]

[tex]A=(22-\sqrt{279} )*(11)[/tex]

The total area of the figure is:

[tex]Area=2*(50\pi) +2*(\sqrt{279} *11/2)+11*(22-\sqrt{279} )[/tex]

[tex]Area=100\pi +11*\sqrt{279} +11*(22-\sqrt{279} )[/tex]

[tex]Area=100\pi +242[/tex]

[tex]Area=556.2[/tex]

Answer:

556.2 unit square

Step-by-step explanation:

Solution given:

Area of left semi circle= ½*πr²

where r is radiussince diameter is given 20.

so radius =diameter/2=20/2=10

substituting value

Area of left semi circle =½*π*10²=50π unit square

Since

Right semi circle's diameter is same as left semi circle

so

it's area will also be same.

Area of right semi circle= 50π unit square

Again

Area of middle rhombus= base* height

where base=22 and height is 11

substituting value

Area of middle rhombus=22*11 =242 square units

Now

Total Area=Area of left semi circle+Area of right semi circle+ Area of middle rhombus

Total Area= 50π+50π+242=556.159 unit square in nearest 10 is 556.2 unit square

ASAP WILL GIVE BRAINLEST
f(x) = 2x ^ 2 - 3x + 2 find f(m + 2)

Answers

honestly idek…. i need help!!

When history writers use the word ancient, what do they mean?

Answers

answer:

when historians use the term ancient they mean “pre-historic” or “long ago” it symbolizes something old.

The volume of prism having its base a right angled triangle is 864cm^3.if the length of the sides containing the right angle are 6cm and 8cm calculate the height of the prism.​

Answers

Answer:

height: 36 cm

Step-by-step explanation:

volume of triangle prism = 0.5 * base * altitude * height

using the formula:

0.5 * 8 * 6 * height = 864

24 * height = 864

height = 864/24

height = 36 cm

Answer:

36 cm

Step-by-step explanation:

volume of a triangular prism = area of triangle x height of prism

area of triangle = 1/2 x base x height

Therefore, given the perpendicular sides of the triangle are 6 cm and 8 cm, the area of the triangle is:

⇒ area of triangle = 1/2 x 6 x 8 = 24 cm²

If the volume of the prism is 864 cm³:

⇒ 864 = 24 x height of prism

⇒ height = 864 ÷ 24 = 36 cm

A cylindrical barrel has a radius of 5.7 ft and a height of 8.4 ft. Tripling which dimension(s) will triple the volume of the barrel?

Answers

Answer:

tripling the height (8.4 ft) will triple the volume of the barrel (from 857.39 to 2,572.17)

Step-by-step explanation:

By Tripling the height we can triple the volume of the barrel.

What is the volume of a cylinder?

In geometry, a cylinder's volume is referred to as its capacity, which aids in determining how much material it can carry.

Given, A cylindrical barrel has a radius of 5.7 ft and a height of 8.4 ft.

From the general formula of volume of cylinder = πr²*h

The volume of the given cylinder = π * (5.7)² 8.4

The volume of the given cylinder = 856.95 ft³

As we can see that the volume of a cylinder is directly proportional to its height of the cylinder.

Therefore, The barrel's volume can be tripled by tripling the height.

learn more about the volume of the cylinder here:

https://brainly.com/question/16134180

#SPJ2

what is 11/3 divided by 2/3

Answers

Answer:

11/2

Step-by-step explanation:

you use the keep, change, flip method so this becomes 11/3 times 3/2 then multiply regularly

What is the period of the function shown in the graph?

PLEASE help! BRAINLIEST to correct answer.

Answers

Check the picture below, notice, after 0 goes up then down back up at 4, and then it begins repeating after that, it begins to "periodically" be the same curve, that's the period.

-4.3 - 9.32 help me help me help me

Answers

Answer:

-13.62

explanation:

use a method called keep change change, meaning you keep the -4.3, change the minus to a plus, and change the positive to a negative, and then add.

Solve for x. 42= -7 (z-3)​

Answers

Answer: x = -3

Step-by-step explanation:

42=-7(x - 3)

-7(x - 3) = 42

-7(x - 3)/-7 = 42/-7

x - 3 = -6

x - 3 + 3 = -6 + 3

x = -3

Compare the two groups from question #8-13

The mean of the group that studied is about 16 points ________ than the mean of the group that did not study.
The MAD of the group that did not study is about ________ as much as the MAD of the group that did study.
There is more variation in the scores of the group that ________

1: lower, twice, did study
2: higher, twice, did not study
3: higher, half, did not study
4: lower, half, did study

Answers

Question hi what school do you do cuz i have the same question

Step-by-step explanation:

The circumference of a circle is 6.28 millimeters. What is the circle's diameter?
plsssss i need help!!!!!!!!

Answers

the diameter would be 2. i hope this helps!
Ⲁⲛ⳽ⲱⲉⲅ:

Diameter = 2 mm ( approx )

[tex] \quad{\rule{300pt}{1.5pt}}\quad[/tex]

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

We are given that :

The circumference of a circle is 6.28mm

We know that :

[tex]\qquad\bull{\boxed {\mathfrak{Circumference = 2 \pi r }}}\bull[/tex]

Therefore,

[tex] \quad\dashrightarrow\quad \sf { 6.28 = 2 \pi r }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r = \dfrac{6.28}{2\pi} }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r = \dfrac{6.28\times 7}{22\times 2} }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r =\cancel{\dfrac{43.64}{44}} }[/tex]

[tex] \quad\dashrightarrow\quad \sf {r = 0.9989 }[/tex]

As we know,

[tex] \quad\dashrightarrow\quad \sf { Diameter = 2\times radius}[/tex]

[tex] \quad\dashrightarrow\quad \sf { Diameter = 2\times 0.9989}[/tex]

[tex] \quad\dashrightarrow\quad \sf { Diameter = 1.98 }[/tex]

[tex] \quad\dashrightarrow\quad {\pmb{\sf {Diameter = 2 mm ( approx ) }}}[/tex]

[tex] \rule{300pt}{2pt}[/tex]

A casino wants to determine if the spins on its roulette wheel are truly random. Which statistical test would you use to determine if this were the case

Answers

Answer: dividing the amount of posibilities the wheel has by the amount of spins you have

Step-by-step explanation:

hope this helps

3. What are the first three terms of the Arithmetic Sequence a, = 12 - 2(n - 1)?
11, 10,9
1,2,3
12,10,8
0 10 20​

Answers

Answer:

12, 10, 8

Step-by-step explanation:

Substitute n = 1, n = 2 and n = 3 to find the 1st, 2nd and 3rd terms of the sequence:

[tex]a_n=12-2(n-1)[/tex]

[tex]\implies a_1=12-2(1-1)=12-2+2=12\\\\ \implies a_2=12-2(2-1)=12-4+2=10\\\\ \implies a_3=12-2(3-1)=12-6+2=8[/tex]

for mine it says this, t = 60 x, is that multiplication

Answers

Answer:

Yes

Step-by-step explanation:

60x means 60*x.

When there is nothing between a number and variable it means multiplication.

Answer:

Yes it means t = 6 times x

Step-by-step explanation:

48 is 12% of what?
With solution pls

Answers

Answer:

5.76

Step-by-step explanation:

i hope this was what u were looking for

We have: x is n% of y <=> y = x/n% (n < 100% or n = 100%)

So: 48 is 12% of y <=> y = 48/12% = 400

Answer: 400

Ok done. Thank to me :>

What is the correct answer need answer ASAP
question 9​

Answers

No is the answer. If she works 20 hours at Kroger ($8 x 20 hours = 160) and 15 hours babysitting($15 x 15 hours = 225) 160 + 225 = $385

kimi ate 13 out of g gumdrops. write an expression that shows how many gumdrops kimi has left

Answers

G-13=7 the answe is 20 if you just making a equation would have been more help w a pic or something

help meee
Does this graph have a maximum or a minimum? Given:
f(x) = x²+6x-7
A Minimum
B Neither
C Maximum
D Both​

Answers

Answer:

A minimum

Step-by-step explanation:

This graph is a parabola which is a U-ish V-ish graph. Since there is no negative in front of the x^2 it opens UPWARDS, so it has a bottom. Thats a lowest point which is a minimum.

what is 2 and 2/7 as an improper fraction

Answers

Hi There!Here's how we turn mixed numbers into improper fractions:Multiply the whole number by the denominator and add the numerator.Let's do it!Step #1: multiply 2 times 7:14Add the numerator:14+2=16The denominator stays the same: [tex]\boxed{\bf{\displaystyle\frac{16}{7} }}[/tex]Hope it helps!

Have an awesome day!

[tex]\huge\textbf{TheStarryNights :)}[/tex]

Answer:

16/7

Step-by-step explanation:

What is the solution to 3x-8<5x+2

Answers

Answer: X=3

subtract 8 from both sides
then subtract 5x from both sides
then combine like terms to get -2x=-6
divide both sides by -2
and then simply to get x=-3

brainliest would be appreciated :))

Jane spent 8/9 of her savings on a gift for Anne. Anne spent 7/8 of her savings on a gift for Jane. Who spent less? How much less?

Answers

Answer:

Jane spent the most money, while Anne spent the least.

Step-by-step explanation

Anne spent less because Jane spent 0.888 in decimal form, whereas Anne spent 0.875 in decimal form.

what does Antonym/contrast mean?

Answers

synonym: a word of opposite meaning

contrast:  to show noticeable differences

Someone please help asap! I will mark as brainliest, thank you!!

Answers

Answer:

19 square units

Step-by-step explanation:

Hello!

Step 1: Plot the points

We are first going to plot the points on the coordinate graph and connect the points to create a shape.

Refer to attachment titled "Step 1"

Step 2: Box the shape

Since this is an irregular shape, I'm going to make a box around the shape and subtract the area of the empty spaces to find the area of the original polygon.

Refer to attachment titled "Step 2"

Step 3: Area of Edges

We are going to find the area of the shapes A, B, and C and subtract them from the area of the big box to find the area of the polygon.

Area of a triangle = 1/2(base x height)

Area of Box = 6 un x 7 unArea of Box = 42 un²

Area of A:

Area A = 1/2(4 un x 2 un)Area A = 1/2(8 un²)Area A = 4 un²

Area of B:

Area B = 4 un x 4 unArea B = 16 un²

Area of C:

Area C = 1/2(2 un x 3 un)Area C = 1/2(6 un²)Area C = 3 un²

Step 4: Area of the polygon

Now, we can simply subtract the values of A, B, and C from the box to get the area of the polygon.

Area Polygon = Box - A - B - CArea Polygon = 42 un² - 4 un² - 16 un² - 3 un²Area Polygon = 38 un² - 16 un² - 3 un²Area Polygon = 22 un² - 3 un²Area Polygon = 19 un²

The area of the polygon is 19 un²

-Chetan K

Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is the probability that at most 8 of them take the bus to school?
77.9%
90.4%
22.5%
92.5%​

Answers

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

How to find the probability?

We know that roughly 75% of the students take the bus, then, if we select a student at random.

There is a probability of 0.75 that the student takes the bus.There is a probability of 0.25 that the student does not take the bus.

The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:

p = (0.75)^9 = 0.075

Then we have:

P = 1 - 0.075 = 0.925

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

C. Yesterday, on Kelly's class trip, 4 groups of 52 students visited the Sea Animal Park. The students attended a special dolphin show in which they were able to pet the dolphins. The students were placed in groups, with 7 students in each group.Kelly used division to find the total number of groups that were needed so that each student was able to pet the dolphins. She said that a total of 29 groups were needed.






Did Kelly correctly solve the division problem? Why or why not?

Answers

Answer:

the real answer is 29.714

Kelly's answer is almost correct.

easy question please help

Answers

Answer:

$17/ $25/$41

Step-by-step explanation:

brainliest pls

Answer:17 dollars .

Step-by-step explanation:

Because 9 is already the amount and 2 people in the car so multiple 4 x 2 and get 8 and 9 +8 = 17 so theirs your answer .

Hi! having an exam soon and kind of confused about this. any help appreciated!
!!!
PROBLEM 8!!!!
!!!

Answers

Answer:

(14, 23)

area = 400 square units

Step-by-step explanation:

Part (a)

To find the point where two equations meet (the point of intersection), equal the equations to each other, then solve for x.  Substitute the found value of x into one of the equations (it doesn't matter which) and then solve for y.  (x, y) is the point of intersection.

Equation 1:  y = 2x - 5

Equation 2:  y = 23

Equate the equations:

            y = y

⇒ 2x - 5 = 23

⇒       2x = 23 + 5

⇒       2x = 28

⇒          x = 28 ÷ 2

⇒          x = 14

Usually we'd substitute the found value of x into one of the equations and solve for y, however, as one of the equations is literally the y value, we don't need to do that.

So y = 23

Therefore, the point of intersection is (14, 23)

Part (b)

The vertices of the triangle will be the points where each pair of lines meet each other.  We have already determined that one pair of lines meets at point (14, 23).

y = 2x - 5 is a diagonal line, y = 23 is a horizontal line, and x = -6 is a vertical line.

So x = -6 and y = 23 meet at (-6, 23)

Now we just need to determine where y = 2x - 5  and  x = -6 meet.

Simply substitute x = -6 into y = 2x - 5:

⇒ y = 2(-6) - 5

⇒ y = -17

Therefore, the point of intersection is (-6, -17)

So we have three points of intersection which are the three vertices of the triangle:

(14, 23)  (-6, 23) (-6, -17)

As y = 23 is a horizontal line and x = -6 is a vertical line, their point of intersection (-6, 23) is a right angle.

Therefore the can determine that the height of the triangle is the difference between the y-coordinates of (-6, 23) and (-6, -17).

Similarly, the base (width) of the triangle is the difference between the x-coordinates of (-6, 23) and (14, 23).

Therefore, the height = 23 - -17 = 23 + 17 = 40

Therefore, the base = 14 - -6 = 14 + 6 = 20

Area of a triangle = 1/2 x base x height = 1/2 x 20 x 40 = 400 square units

see attached diagram

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