A museum opened at 8:00 a.m. In the first hour, 350 people purchased admission tickets. In the second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50.What was the total amount of money paid for all the tickets purchased in the first two hours? Show your work.

Answer:2*sqrt(130)

Step-by-step explanation:[tex]From right triangle $AXC$, we have $\angle XAC = 90^\circ - \angle XCA$. We also must have $\angle YCB + \angle ACB + \angle XCA = 180^\circ$, so $\angle YCB = 180^\circ - 90^\circ - \angle XCA = 90^\circ - \angle XCA$, which means $\angle YCB = \angle XAC$. Combining this with $\angle X = \angle Y$, we have $\triangle XCA \sim \triangle YBC$ by AA Similarity, and\[\frac{CX}{AX} = \frac{BY}{CY},\]so\[\frac{CX}{4} = \frac{18}{2CX}.\]\\\\This gives us $2CX^2 = 72$, so $CX^2 =36$ and $CX=6$. \\\\\\\\[/tex][tex]Therefore, $CY = 12$.Applying the Pythagorean Theorem to right triangles $XCA$ and $CYB$ gives us\begin{align*}CA^2 &= XA^2 + XC^2 = 16 + 36 = 52,\\BC^2 &= CY^2 + BY^2 = 144 + 324 = 468.\end{align*}Applying the Pythagorean Theorem to right triangle $ABC$ gives\[AB = \sqrt{AC^2 + BC^2} = \sqrt{52 + 468} = \sqrt{520} = \boxed{2\sqrt{130}}.\](We can also compute $AB$ by dropping a perpendicular from $A$ to $\overline{YZ}$, which creates a right triangle.)[/tex]

The length of the side AB from the figure is approximately 22.8.

Given a rectangle WXYZ.

Consider triangles ΔACX and ΔBCY.

∠AXC = ∠BYC

Also, ∠CAX + ∠ACX = 180° - 90°

So, ∠CAX = 90° - ∠ACX [Equation 1]

Given that ∠ACB = 90°

Also, ∠ACX, ∠ACB, and ∠BCY form linear angles.

So, ∠ACX + ∠ACB + ∠BCY = 180°

So, ∠ACX + 90° + ∠BCY = 180°

∠ACX + ∠BCY = 90°

∠BCY = 90° - ∠ACX [Equation 2]

From [Equation 1] and [Equation 2], ∠CAX = ∠BCY

By AA similarity, triangles ΔACX and ΔBCY are similar.

So, the corresponding sides are proportional.

AX / CY = CX / BY

4 / 2CX = CX / 18

(CX)² = 36

CX = 6

Now, using the Pythagoras theorem:

AC = √(4² + 6²) = √52

BC = √(18² + 12²) = √468

So, AB = √(√52)² + (√468)²

            = √520

            ≈ 22.8

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Answer:

-1, -1/2

Step-by-step explanation:

The solution is the intersecting point. The two lines intersect at (-1, -1/2)

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May

Answer:

15

Step-by-step explanation:

Answer:

In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.

Step-by-step explanation:

A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.

Answer:

I think it is A

Step-by-step explanation:

the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.

Answer:

Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200

Step-by-step explanation:

HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A

Answer:

(0,1) should be the anwser your looking for

Answer:

22.22 feet

Step-by-step explanation:

The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.

The piece of wood is 23 feet long and it is the hypotenuse.

The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.

Using trigonometric function SOHCAHTOA:

sin(75) = x/23

=> x = 23 * sin(75)

x = 22.22 feet

The wood is 22.22 feet far from the base of the wall.

Answer: [tex]x=\frac{3}{5}[/tex]

Step-by-step explanation:

Move all terms to one side.

[tex]25x^2+9-30x=0[/tex]

Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]

[tex](5x)^2-2(5x)(3)+3^2=0[/tex]

Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](5x-3)^2=0[/tex]

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5

Answer:

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Step-by-step explanation:

Let the total no. of adults who saw the move be x

Let the total no. of child who saw the move be y

Given that the total number of adults (a) and children (c) who saw a movie was 35

thus. x + y = 35

cost of ticket for 1 adult = $6

cost of ticket for 1*x  adult = $6*x = $6x

cost of ticket for x  adult = $6x

cost of ticket for 1 child = $1

cost of ticket for 1*y  child = $1*y = $y

cost of ticket for y  child =  $y

Total cost for  x adult and y child = $(6x+y)   _______(2)

Given that he total money collected was $70

Thus, we have two equations

6x+y = 70  -------(1)

x + y = 35

y = 35 - x  (using this value of y in equation 1 we have)

6x + 35 - x = 70

=> 5x = 70 -35 = 35

=> x = 35/5 = 7

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Answer:

Below.

Step-by-step explanation:

To find the answer, you have to compare the two equations:

[tex]y=\frac{1}{10}x+60[/tex] and [tex]y=\frac{1}{5}[/tex]

So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.

The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.

Answer:

$250

Step-by-step explanation:

200/80=2.50

2.50*100=250

Answer:

$250.

Step-by-step explanation:

By proportion the cost should be 200 * 100/80

= 200*5/4

= 50 * 5

= $250.

_________________________________

Solution,

Marked price (MP)=$ 38.00

Discount%=30%

Sale price (SP)=?

Now,

Discount amount= discount% of MP

=30%of 38

=$ 11.4

Again,

Sale price(SP)=MP-Discount

= 38-11.4

=$26.60

The right answer is $ 26.60

Hope it helps...

Good luck on your assignment

_______________________________

Answer:

Step-by-step explanation:

[tex]orginal \: \: \: \: price = 38.00[/tex]

[tex]discount \\ percentage= 30\%[/tex]

First we have to find the discount.

[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]

Now let's find the sales price of the shirt.

[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

18 books per box

Step-by-step explanation:

This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.

Answer:

[tex]18[/tex] books per box.

Step-by-step explanation:

To figure out out many books are in each box, divide the total amount by how many boxes there are.

[tex]126/7=18[/tex]

There are 18 books in each box.

:)

Answer:

5 feet.

Step-by-step explanation:

We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.

To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

Answer:

185.43 mm 2

Step-by-step explanation:

,.

.

.

.

.

.

.

.

Answer:

d. 8

Step-by-step explanation:

sin(α) = opposite/hypotenuse

sin(30°) = 4/x

x = 4/sin(30°) = 4/(1/2) = 8

Answer:

19.75. The apples cost 19.75 before the tax.

Step-by-step explanation:

0.97(x)=19.16

19.75

Answer: i think its b

Step-by-step explanation:

Answer is B

Step-by-step explanation:

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

Answer:

A and D

Step-by-step explanation:

576 ^ 1/2 = + or - 24

Answer:

133

Step-by-step explanation:

We are given the expression:

s(6-t)+7(s+1)

We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.

6(6--8) +7(6+1)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Subtract 6 and -8.

6(14)+7(6+1)

Solve the other set of parentheses. Add 6 and 1.

6(14)+7(7)

Multiply 6 and 14.

84+7(7)

Multiply 7 and 7

84+49

Add 84and 49

133

Answer:

133

Step-by-step explanation:

s(6 - t) + 7(s + 1)

Plug in numbers:

6(6 - (-8)) + 7(6+ 1)

using Bedmas, solve:

Brackets first: 6(14) + 7(7)

Solve multiplication: 84 + 49

Add together: 133

Answer:

480

Step-by-step explanation:

The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480

Answer:

1) Ice cream cone = 2/7

⇒ The number of ice cream cones in the lot = 4

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total     number of items in the lot.

    Probability = 4/14 = 2/7

2) Soccer Ball = 1/7

⇒ The number of soccer balls in the lot = 2

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total number of items in the lot.

    Probability = 2/14 = 1/7

3) Books = 5/14

⇒The number of books in the lot = 5

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total number of items in the lot.

    Probability = 5/14

4) Coins = 3/14

⇒ The number of coins in the lot = 3

    The total number of items in the lot = 14

    Probability = the number of that particular item in the lot ÷ the total number of items in the lot.

    Probability = 3/14

PLS MARK ME AS BRAINLIEST!!

Answer:

Step-by-step explanation:

Given that:

The investment amount in account = $ 320

The rate of interest is = 8.1% compounded quarterly

Compunded quarterly means  8.1% / 4  = 0.02025

The time period = t years

The objective is to write a function showing the value of the account after t years.

From compound interest , compounded monthly.

[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]

[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]

[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]

[tex]= 320 * ( 1.000016875)^{12t}[/tex]

Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]

The percentage of growth per year is :

= (1 + 0.02025)^4 - 1

= 1.083493758 - 1

= 0.083493758

= 8.4 % (APY) yearly

Answer:  ∠S corresponds to ∠V.

The solution is Option B.

The measure of angle ∠S corresponds to ∠V

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔQSR

Let the second triangle be ΔTUV

Now , the measure of ∠Q = 98°

The measure of ∠R = 37.6°

The measure of ∠U = 98°

The measure of ∠V = 37.6°

So , the measure of the third side of the triangles is

The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )

The measure of ∠S = measure of ∠T = 44.4°

And , ∆QRS ~ ∆TVU based on the angle-angle criterion

So , ∠Q ≅ ∠T based on the third angle theorem

And , ∆RQS ~ ∆VTU based on the angle-angle criterion

Hence , the false statement is ∠S corresponds to ∠V.

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Answer:

60 degrees

Step-by-step explanation:

A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360

75+75+150+x =360

Combine like terms

300 +x = 360

Subtract 300 from each side

300+x-300= 360-300

x = 60

Answer:

y=1 and x= .5

Step-by-step explanation:

distribute

the x has to be solved

they when got the answer

input the answer you got for x into the y and subtract and divide

the answer is one for x