At a school concert the total value of tickets sold was $4452. Student tickets sold for $8 and adult tickets sold for $12. The number of adult tickets sold was 7 less than 4 times the number of student tickets. Find the number of student tickets sold.

A sample space is the space of all the possible outcomes in this event.

Let's define each outcome as:

(first marble, second marble)

Where the first marble can be green or red.

The second marble can be blue or yellow.

Then the possible outcomes are:

(green, yellow)

(green, blue)

(red, yellow)

(red, blue)

So we have four different outcomes, which means that the sample space has 4 elements.

Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.

If you want to learn more, you can read:

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Answer:

x = 19

Step-by-step explanation:

The angles sum are complementary so they will sum to 180

(6x+9) +(4x-19) = 180

Combine like terms

10x - 10 = 180

Add 10 to each side

10x-10+10 =180+10

10x =190

Divide by 10

10x/10 = 190/10

x = 19

Answer:

f(x)^-1(x) =sqrt(x+5) -6

Step-by-step explanation:

f(x) = (x + 6)^2 - 5

y =  (x + 6)^2 - 5

Exchange x and y and solve for y

x = (y + 6)^2 - 5

Add 5 to each side

x+5 =  (y + 6)^2 - 5+5

x+5 =  (y + 6)^2

Take the square root of each side

sqrt(x+5 )= sqrt( (y + 6)^2 )

sqrt(x+5 )=(y + 6)

Subtract 6 from each side

sqrt(x+5 ) -6=y + 6-6

sqrt(x+5) -6 = y

Answer:

1/3

Step-by-step explanation:

first day work=1/2

work left=1-1/2=1/2

second day finished=1/3 ×1/2=1/6

work left =1/2-1/6=3/6-1/6=2/6=1/3

Answer:

Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA  2nd answer.

Step-by-step explanation:

Answer:

Convert fraction (ratio) 8 / 16 Answer: 50%

Step-by-step explanation:

Answer:

The common difference of the sequence 5,8,11,14 is 3.

Answer:

the answer is 3

Step-by-step explanation:

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.

Answer:

See below.

Step-by-step explanation:

The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.

I'll do problem a as an example:

Answer:

(0.5,3.5)

Step-by-step explanation:

First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:

from (-2,9) to (3,-2)

from (-5, 6) to (6,1)

To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0

For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is

(-2-9)/(3-(-2)) = -11/5

Therefore, our equation is

y= (-11/5)x + b

To solve for b, we can plug a point in, like (3,-2). Therefore,

-2=(-11/5)*3+b

-2=-33/5+b

-10/5=-33/5+b

add 33/5 to both sides to isolate b

23/5=b

Our equation for one diagonal is therefore y=(-11/5)x+23/5

For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have

1=(-5/11)*6+b

11/11 = -30/11 + b

add 30/11 to both sides to isolate b

41/11 = b

our equation is

y = (-5/11) x + 41/11

Our two equations are thus

y = (-5/11) x + 41/11

y=(-11/5)x+23/5

To find where they intersect, we can set them equal to each other

(-11/5)x+23/5 = y = (-5/11) x + 41/11

(-11/5)x + 23/5 = (-5/11)x + 41/11

subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients

(-11/5)x + (5/11)x = 41/11-23/5

11*5 = 55, so 55 is one value we can use to make the denominators equal.

(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)

(-121/55)x+(25/55)x = (205/55) - (253/55)

(-96/55)x = (-48/55)

multiply both sides by 55 to remove the denominators

-96x=-48

divide both sides by -96 to isolate x

x=-48/-96=0.5

plug x=0.5 into a diagonal to see the y value of the intersection

(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5

Answer: Choice A. 338 meters

Step-by-step explanation:

tan(31°)=203/x

Answer: 338 m

Step-by-step explanation:

Tan 59 = x/203

(1.66)(203)=338m

For the given question,

Total number of outcomes

= 6 (i.e. 1, 2, 3, 4, 5 and 6)

Number of favourable outcomes

= 4 (i.e. 3, 4, 5, 6)

So,

[tex]P = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} \\ = > P= \frac{4}{6} \\ = > P = \frac{2}{3} \\ = > P = 0.6666......[/tex]

Answer:

C. –2

Step-by-step explanation:

The slope is equal to the number multiplying the x

Answer:

C

Step-by-step explanation:

Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2

Complete question is;

Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Since the original line is;

y – 3 = (1/5) (x – 10)

This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.

Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;

y – 3 = 2(x – 10)

B. A parallelogram is a rectangle.

hi my name how are you home work sind

Answer:

sin C= 5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin C= 5/13

Answer:

1 Solar day = 86,400 seconds (SI Base Unit)

1 day = 1,440 minutes

Step-by-step explanation:

If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️

The most common denominator for them is the LCM which is 21

Now

2/7 = 2/7×3/3

= 6/21

Therefore 6/21 and 10/21

Must click thanks and mark brainliest

Answer:

8a+4b

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

C(6,3) = 6!/[3!(6-3)!]

= 20

Step-by-step explanation:

it is simple you know

make 3 month into year by 3/12

then solve it using formula

Answer:

g: -7/10 or -0.7

Step-by-step explanation:

[tex]6g+5=-2\left(1+2g\right)[/tex]

Apply the distributive law:-

[tex]-2\left(1+2g\right)[/tex]

[tex]=-2-4g[/tex]

[tex]6g+5=-2-4g[/tex]

Now, we´ll Subtract 5 from both sides :-

[tex]6g+5-5=-2-4g-5[/tex]

[tex]6g=-4g-7[/tex]

Add 4g to both sides :-

[tex]6g+4g=-4g-7+4g[/tex]

[tex]10g=-7[/tex]

Now, divide both sides by 10:-

[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]

[tex]g=-\frac{7}{10}[/tex]

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Answer:

The answer is 1

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

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Answer:

x=1/2

Step-by-step explanation:

Answer:

28.284

Step-by-step explanation:

9514 1404 393

Answer:

  y = 4

Step-by-step explanation:

The given points are on the horizontal line ...

  y = 4

This is the standard-form equation of that line.

Answer:

157

hope it help

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