At the city museum, child admission is $5.40 and adult admission is $9.40. On Tuesday, three times as many adult tickets as child tickets were sold, for a total
sales of $974.40. How many child tickets were sold that day?

Answer:

130

Step-by-step explanation:

Hello There!

An included angle is equal to half the measure of its included arc

So more specifically for this circle

∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)

So in order to find the value of x we are going to want an equation

Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two

So 2(3x+32) = 10x+20

now we solve for x

step 1 distribute the 2

2 * 3x = 6x

2 * 32 = 64

now we have

6x + 64 = 10x + 20

step 2 subtract 20 from each side

64 - 20 = 44

20 - 20 cancels out

now we have 6x + 44 = 10x

step 3 subtract 6 x from each side

10x - 6x = 4x

6x - 6x cancels out

now we have 44 = 4x

step 4 divide each side by 4x

44/4=11

4x/4=x

we're left with x = 11

finally we want to plug in 11 to x for (10x+20)

10(11)+20

10*11=110

110+20=130

so arc ab = 130

Answer:

AB = 130

Step-by-step explanation:

So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.

In this case, the ARC is AB, and the angle is CBA.

CBA = 3x+32

AB = 10x+20

And,

[tex]CBA = \frac{1}{2} AB[/tex]

Now,

[tex]3x+32=\frac{1}{2} (10x+20)[/tex]

[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]

Now we can substitute x into the equation that equals AB

[tex]10(11)+20 \\=110+20\\=130[/tex]

So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.

Have a nice day fam. Spread The Love.

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

Answer:

59/110

Step-by-step explanation:

Based on these results, express the probability that the next person will purchase one or more costumes as a fraction in simplest form.

204 no costume, 209 exactly one costume, 27 more than one costume.

204+\color{steelblue}{209}+\color{steelblue}{27}=

204+209+27=

\,\,\color{indianred}{440}

440

There were a toal of 440 customers. 209+27=236 visitors purchased one or more costumes costumes.

Probability the next visitor will purchase one or more costumes:

\frac{\color{steelblue}{236}}{\color{indianred}{440}}=

440

236

​

=

\,\,\frac{59}{110}

110

59

​

Answer:

29,507

Step-by-step explanation:

Simple way just do 15,000 x 1.07. Take that number and multiply by 1.07. Do that 10 time.

Answer:

y=−9/2 x+12

HEART IF IT HELPED!!

Step-by-step explanation:

The answer is 12 bro

Thank me pls

Answer:

571.77

Step-by-step explanation: I might be wrong so don't really trust me

Answer:

Step-by-step explanation:

(6x + 2)° + 42° + 58° = 180°

6x + 2 = 180 - 100

6x = 78

x = 13

Answer:

13

Step-by-step explanation:

There are 180 degrees in a triangle

58 + 42 + (6x +2 ) = 180

98 + (6x + 2) = 180

Subtract 98 from 180.

6x +2 = 82

Subtract 2 from 82

6x = 80

x = 13.333 or 40/3

Answer: y=4/3x-2

Y-Intercept: -2

Slope: 4/3

Step-by-step explanation:

On the Y-Axis put -2 because thats the Y-intercept.

And for slope graph a slope of 4/3

Answer:

Complementary angles,7 & 83

Supplementary angles, 97 & 83

Vertical angles, 83 & 83

Step-by-step explanation:

Complementary angles add up to 90°

Supplementary angles add up to 180°

Vertical angles are equal

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

x=30.2

Step-by-step explanation:

30.2-20.7=9.5 So therefore x=30.2

9514 1404 393

Answer:

  C.  (10, 5), (5, 0), (0, 5)

Step-by-step explanation:

In order for the square to have an area of 50 square units, its side lengths must be √50 = 5√2 units long. The only way to get such a length with integer coordinates is for the sides of the square to be themselves the diagonals of a square 5 units on a side.

That is, two of the other vertices of the square must be among ...

  (5±5, 10±5) ⇒ (10, 15), (0, 15), (10, 5), (0, 5)

Only choice C contains two of the vertices on this list.

Answer:

A) 4

Step-by-step explanation:

3*4 = 12

1+12=13

Answer:

Step-by-step explanation:?

Answer:

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Step-by-step explanation:

:))

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. it takes her to finish the third lap time in 49/60 minutes.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap.

The second lap took her 1 12more minute than the first lap.

The third lap took her 1 10less minute than the second lap.

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

T=9/2 alternate form T=4 1/2, T=4.5

Step-by-step explanation:

you have to divide both side

Answer:

the reciprocal of 0.25 is 4.

Answer:khan is 1.282 or c

Step-by-step explanation:

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604

Answer:

The first one and the third one are true and the rest are false

Step-by-step explanation:

Answer:

first and therd are right

Step-by-step explanation:

Answer:16

Step-by-step explanation:

Sprint is 2shoe sanc. 2 for 12

2

4

6                       36 - 20 is 16

12

24

36

Step-by-step explanation:

-9u-6+7u=16 This question is asking to isolate u

-9u+7u=16+6 bring -6 to the other side and put the "u" variables together make sure to put +6

-2u=22 add and subtract the sides

u=11 divide -2 by 22

your answer is U=11

Answer:

ur question is more clarification

Step-by-step explanation:

Answer:

I don't know this

Step-by-step explanation:

Not enough info to solve it...can you post part 2 as well?

Answer:

30.5*10=350$

Step-by-step explanation:

you have to multiply the number without the decimal point then add it later but if its tenn u must move the place value of the decimal point 1 to the right.

hope it helps

Answer:

A) Vertex: (3,1) Maximum, Domain: all real numbers, Range: y is less than or equal to 1.

B) Vertex: (1,-5) Minimum, Domain: all real numbers, Range: y is greater than or equal to -5

C) Vertex: (0,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

D) Vertex: (4,0) Maximum, Domain: all real numbers, Range: y is less than or equal to 0.

E) Vertex: (4,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

F) Vertex: (-1,4) Maximum, Domain: all real numbers, Range: y is less than or equal to 4.

G) Vertex: (2,-4) Minimum, Domain: all real numbers, Range: y is greater than or equal to -4

H) Vertex: (-4,-3) Minimum, Domain: all real numbers, Range: y is greater than or equal to -3

I) Vertex: (2,3) Maximum, Domain: all real numbers, Range: y is less than or equal to 3.

Step-by-step explanation:

Sorry it took forever to type

Answer:

9x8=72

9x5=45 9x3=27 45+27=72