What is the equation of the given line?

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

Value ($)

Total Value ($)

Student    

6

Adult    

9

1

,

506

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

−

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

Value ($)

Total Value ($)

Student  

s

6

6

s

Adult  

3

s

−

5

9

9

(

3

s

−

5

)

1

,

506

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

−

5

)

=

1506

Step 5. Solve the equation.

6

s

+

27

s

−

45

=

1506

33

s

−

45

=

1506

33

s

=

1551

s

=

47

students

Substitute to find the number of adults.

3

s

−

5

=

 number of adults

3

(

47

)

−

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

⋅

6

=

282

136

⋅

9

=

1224

_____

1506

✓

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

Given that, Wes and Maureen were in the government class of 38 students.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Total number of outcomes =38

Number of favourable outcomes = 2

So, probability =2/38

= 1/19

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

20 students

Step-by-step explanation:

You first have to add the number of students all up and you get 200.Then you do cross multiplication.

40/200 x s/100=

40x100= 4000=

200xs= 200s=

200s/200=

4000/200=

20=

Answer:

Plant F;

Plant G;

Plant G

Step-by-step explanation:

Given that:

Plant F :

f(t)=0.5x+2

From the growth graph given for the second plant ; plant G

Point 1 (0, 5) ; point 2(16, 9)

Slope = Rise / Run = (9 - 5) / (16 - 0) = 4 / 16 = 0.25

Intercept = 5 ( point where fitted line crosses the y-axis)

Linear slope intercept relation : y = mx + c

m = slope ; c = intercept

g(x) = 0.25x + 5

The slope value of plant F = 0.5

Slope value of plant G = 0.25

F > G

Hence, F is growing at a faster rate

The starting height is given by the intercept value of the two equations ;

Plant F, intercept = 2

Plant G, intercept = 5

G > F

Hence, G was taller, to begin with

Height after 8 days :

x = 8

f(8)=0.5(8)+2

f(8) =  4 +2 = 6

g(8) = 0.25(8) + 5

g(8) =  2 + 5 = 7

Hence, G was taller after 8 days

Answer:

area(rectangle) = Length * width

8w + 18 = 2 * w

8w + 18 = 2w

Answer:

1. C,D

2. B,C,D

3. E

4.D

5.A,B,C,D

6.D

7.C,D

8.E

Step-by-step explanation:

Hope this helps ;)

Answer:

45

Step-by-step explanation:

To find the exterior angle, you subtract the interior angle, which, in this case, is 135, by 180

So, 180-135=45 degrees

Answer:

138 ÷ 2 = 69

69 ÷ 2 = 34.5

69 ÷ 3 = 23

23 ÷ 3 = 7.67

23 ÷ 5 = 4.6

23 ÷ 7 = 3.2857

23 ÷ 11 = 2.0909

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

23 ÷ 23 = 1

Answer:

the correct answer is -6

Answer: 620

Step-by-step explanation: 620,000 / 10^3 = 620

Answer:

620

Step-by-step explanation:

10^3 = 10x10x10 =1000

620,000/1,000=620

Answer:

$9,216 in account $1,261 interest.

Step-by-step explanation:

The compound interest is given by:

[tex]a = p(1 + \frac{r}{n})^{nt} [/tex]

P = Principal

r = rate

n = Number of times interest is compounded per unit t

t = time

so:

[tex]a = 8000(1 + \frac{0.05}{1} ) ^{1 .3} \\ a = 9261[/tex]

therefore, the answer is:

$9,216 in account $1,261 interest

Answer:

whats ur question lol

Step-by-step explanation:

Answer:

ok fine but you'll have to visit the nobotsite.com lol jk its not real

Step-by-step explanation:

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

Answer:

6:28 or 3:14

Step-by-step explanation:

if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14

Answer:

6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14

Answer:

nsfd bgvhjbkjn

Step-by-step explanation:

the mode is $6.00

thats the number there is the most of

Answer:

12.7

Step-by-step explanation:

[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]

Step-by-step explanation:

Substitution

substitute -3-5 into y

it becomes -3-5=6x+4

solve the equation to find the answer for X

then substitute the value of X you found again into the equation to find Y

Answer:

No if you see this sign means (<) that the number in like this1<2 that 2 is greater than 1 so it would be no because it would be this way 9>7 not 9<7

Step-by-step explanation:

Answer:

$200.65

Step-by-step explanation:

If they bought it for 147 then marked it up 75% you would do

$147+75%  = 257.25

THEN they mark down

257.25 - 22% = $200.255 which would be

$200.25 orrr $200.26

Answer:

Center = ( 1, 0)

Radius = 6 units

Step-by-step explanation:

[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]

Answer:

I think there is no solution to the equation. (I'm not sure what your asking)

Step-by-step explanation

The equation should equal 0, so you subtract 5x from both sides. Once you do that, it cancels out the 5x and leaves 10=0 which is a false statement.

Answer:

Positive

Step-by-step explanation:

Two minus signs = +

- - = +

Replace the -- with +

4.5+3.5 = 8

Answer:

extra-large

Step-by-step explanation:

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

Answer:

The answer is C

Step-by-step explanation:

Khan Academy

Answer:

C

Step-by-step explanation: