Anjali’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 18 total tickets for $98. Each adult ticket is $14 and each child ticket $3. How many of each type of ticket were sold?

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

Answer:

Step-by-step explanation:

Infinity solutions

Answer:

Find square root

a 11×11

B 30×30

C 27×27

Answer:

205 minutes

Step-by-step explanation:

Step one:

given data

We are told that Luca's goal is to practice violin for 300 minutes in a week

He has practiced 45 minutes and 50 minutes for Saturday and Sunday already

that is in all, 45+50= 95minutes

Required

The remaining minutes of practice

Step two:

the deficit in practice is

300-95= 205 minutes

Answer:

B and D

F also has vertical angles however they haven't been numbered like the others

Answer:

544 acres

Step-by-step explanation:

There is 100% in a whole.

1% is 1/100th of the whole, or 0.01 of it. We get this because 1/100 = 1/100 = 0.01

Similarly, 0.8/100 = 0.008. We then multiply the decimal by the total to get

(0.008) ( 68000) = 544 acres

Answer:

8x squared

Step-by-step explanation:

all you do is multiply the 4 and 2 to get the 8 and the x's multiply together causing it to square it making it 8x squared

Answer:

I am assuming you want the percentage increase in the price.

Step-by-step explanation:

The percentage increase is ( 15/50) * 100

= 15 * 2

= 30%.

Answer:

5.53408980773 or 5.534

Step-by-step explanation:

Let's take AD as a, AB as b and DB as c

a2+b2 =c2

(8.98)2 + (6.47) 2 =c2

80.6404 + 41.8609 =c2

The number 2 is square . take it like square

122.5049 =c2

[tex] \sqrt{c \: \: } = \sqrt{122.5049 } [/tex]

C=11.0681796155

this valse is DB but the question say EB so dividend by 2 because rectangle diagonal are equal

So EB =11.0681796155/2

EB =5.5340890773

Answer:

(1)xy=-5-3

-8ans

Step-by-step explanation:

(2) -3x =-18

-15ans

You need to show the question to get the answer. All you can see is the lines...

Answer:

La respuesta está abajo

Step-by-step explanation:

Un rayo numérico es una línea con un extremo. Un rayo comienza en un punto dado y se va en una dirección determinada para siempre, hasta el infinito. El punto donde comienza el rayo se llama el punto final.

por favor marca me brainliest con la corona

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

this dosent make sense

Step-by-step explanation:

Answer:

m∠ONB = 81°

Step-by-step explanation:

If angle MNJ and angle ONB are congruent and MNJ is 81 degrees and OJ is a straight line then ONB should also be 81 degrees in which the other side is 99 degrees.

Answer:

2.5x10^3= 2,500

5x10^6= 5,000,000

Step-by-step explanation:

Here is a great trick that I always keep in mind whenever you are squaring 10 you add that many zeros for example.

10^4= 10000 (there are 4 zeros).

Answer:

he used 3\4 im guessing

Step-by-step explanation:

Answer:

Around 7/8 of a gallon

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer: 3h + 0.9s

Step-by-step explanation:

90% is the same as 0.9 of..

Answer:

m = -2

Step-by-step explanation:

Look at the attached image. First, we divide both sides by 7 to get m + 5 = 3. Now, we subtract 5 from both sides to get m = -2. Now, we substitute m for -2. As we can see, it checks out.

The solution of expression is,

m = - 2

We have to give that,

An expression to solve,

7 (m + 5) = 21

Now, simplify the expression as,

7 (m + 5) = 21

Divide both sides by 7,

m + 5 = 21 / 7

m + 5 = 3

Subtract 5 both side,

m = 3 - 5

m = - 2

So, The solution is, m = - 2

Learn more about the equation visit:

brainly.com/question/28871326

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Answer:

c

Step-by-step explanation:

its c

Answer:

18√5

Step-by-step explanation:

√9×√180

from √9 we get 3 cause 3² is 9.

from 180 we get 6√5 because √36×5 is √180.

we took 36 out because it gives us a whole number if we square root it.

So √36×5 is 6√5 , because the square root of 36 is 6

then we multiply 3 and 6√5.

3×6 is 18 so we put 18 and put the √5 behind it.

Answer:

Step-by-step explanation:

SLOPE IS M

Answer:

We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.

y - 4 = -5(x + 1)

y - 4 = -5x -5

y - 4 + 4 = -5x - 5 + 4

y = -5x - 1

Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

78 dollars

Step-by-step explanation: