1/2n+3=6

what does n equal?

Answer:

25 adult tickets were sold and 100 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be x and the number of student tickets sold be y.

We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.

10x + 6y = 850 - Equation 1

x + y = 125 - Equation 2

Then, use the substitution method to solve for either x or y first, followed by the other.

From equation two:

x + y = 125

x = 125 - y - Equation 3

Sub eqn 3 into eqn 1:

10(125-y) + 6y = 850

1250 - 10y + 6y = 850

1250 - 4y = 850

-4y = - 400

y - 100

Sub y = 100 into eqn 2:

x + 100 = 125

x = 25

Check:

10(25) + 6(100) = 850

Answer:

C. (x + 4, y - 6)

Step-by-step explanation:

Going up means to add.

When you go up you are in the positives.

When you go left or down on a graph you are in the negatives.

Answer:

10

Step-by-step explanation:

12 x 2 = 24

2 x 2 = 4

10 x 2 = 20

20 + 4 = 24

I hope this helps!

Answer:

d

Step-by-step explanation:

Answer: B

Step-by-step explanation: you have to multiply the 4 and 2

Answer:

Solution given.(x - 2)^2 + (y + 2)^2 = 9.

comparing above equation with (x-h)²+(y-k)²=r²

we get

centre(x,y)=(2,-2)

radius [r]=3units

Answer:

5 is the median

Step-by-step explanation:

By crossing out the points on each side one by one, you could find that 5 is the median.

Answer:

well if the max grade he could get was 100 then you need to find 15% of 100 which is 15, after that add 15 to 80 and you get 95.

his grade for exam 2 was 95

Step-by-step explanation:

15% of 100 = 15

80 + 15 = 95

Answer:

92

Step-by-step explanation:

15 percent of 80 is 12 percent

80 + 12 = 92

P.PENEEEEEEEE,TE GUSTAA∞[tex]\pi \sqrt{x} x^{2} \neq \alpha \sqrt[n]{x} \sqrt[n]{x}[/tex]

Answer:

There are 18 balls in the bag:

6 are red

6 are yellow

6 are green.

A ball is drawn at random and then returned.

Then another ball is drawn.

Now, let's analyze each option and let's see if it is true or not.

A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.

Then for the first draw, the probability is 6/18

Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18

Statement A is true

B) if we define the notation:

YR

as:

Yellow in the first draw, red in the second draw.

The possible outcomes are:

YR

YG

YY

RR

RG

RY

GR

GG

GY

So we have a total of 9 outcomes, we also can calculate this in the following way:

For the first event (first draw) we have 3 possible outcomes (Y, G, and R)

For the second event (second draw) we have again 3 possible outcomes.

The total number of outcomes is the product between the possible outcomes for each event, this is:

3*3 = 9

Then statement B is false.

C) The probability of drawing a red ball first is:

p = 6/18

The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:

q = 12/18

The probabilities are different, then we can conclude that statement C is false.

fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:

prob of drawing a red ball first = 6/18

prob of drawing a yellow ball second = 6/18

Joint probability:

P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9

So statement D is true.  (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)

HERE I TOOK PICTURES

i only understand number 11

Answer:

The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.

Step-by-step explanation:

Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.

Answer: y=-(x/2)

Graph it to figure out.

Answer:

the answer is b

Step-by-step explanation:

i don't know I just do lol

Answer: it’s d. 20 .

Answer:

Step-by-step explanation:

Its c

Answer:

$10 and $130

Step-by-step explanation:

If he spent 10 of his pocket money, then he spent 10

Because he spent 10, that means that he had 120 + 10 = 130 at the start

Answer:

Constant of variation: $8.25

Equation: y=8.25x

Step-by-step explanation:

231/28=8.25

Answer:8.25

Step-by-step explanation:

231/28

Answer:

(-6 , 5)

Step-by-step explanation:

6x + 10y = 14

6(-6) + 10y = 14

-36 + 10y = 14

10y = 50

y = 5

Answer:

400m^3

Step-by-step explanation:

Answer: [tex]400m^{2}[/tex]

Step-by-step explanation:

In order to solve this square pyramid's volume, we use the formula:

V = 1/3(B)(h)

Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:

1/3(10*10)(12)

Now we solve:

1/3(100)(12)

1/3(1200)

400

Answer:

2304pi inches³

Step-by-step explanation:

volume of ball = 4/3pi r³

=4/3 x pi x 12³=2304 pi inches³

15

Explanation:

If y varies inversely as x, the two variables can be represented in an equation in the form

y

=

k

x

where

k

is some constant.

We are given that

y

=

5

when

x

=

6

. We can plug this into the above equation to find what

k

is:

5

=

k

6

30

=

k

Based on this we can create our equation:

y

=

30

x

And then find

x

when

y

=

2

:

2

=

30

x

2

x

=

30

x

=

15

Answer:

(- 3, 7 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (0, 11) and (x₂, y₂ ) = (- 6, 3) , then

midpoint = ( [tex]\frac{0-6}{2}[/tex], [tex]\frac{11+3}{2}[/tex] ) = ( [tex]\frac{-6}{2}[/tex], [tex]\frac{14}{2}[/tex] ) = (- 3, 7 )

Answer:

(-3,7)

hope it helps........

Answer:

15

Step-by-step explanation:

Answer:

y=-1/5x-16/15

Step-by-step explanation:

slope intercept form y=mx+b

3x+15y=-16

15y=-3x-16 divide both sides by 15

y=-3/15x-16/15   simplify -3/15 to -1/5

y=-1/5x-16/15

Answer:

The production cost for a packet of super tea is 924.

Step-by-step explanation:

The production cost of the Super tea is given as

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]

Here the costs are given as following

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]

Here

So

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]

The cost of A is 264.

Similarly

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]

Here

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]

The cost of B is 440.

Also

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]

Here

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]

The cost of C is 187.

Now the packaging and blending cost for the given package is calculated as

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]

Here

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]

Cost of packaging and blending per packet is 33.

So now substituting values of costs in the following equation gives:

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]

The production cost for a packet of super tea is 924.

Answer:

£14579.76

Step-by-step explanation:

First do 16855.21 * .135 =  2275.45335 now do 16855.21 - 2275.45335 to get 14579.75665 round this to get 14579.76

Answer:

(-308, -352)

Step-by-step explanation:

For a dilation from the origin, you multiply the x and y by the scale factor.

-7 * 44 = -308

-8 * 44 = -352

(-308, -352)

Answer:

They are parallel because they hold a same gradient which is 3/5