Two types of tickets are sold to a play. Floor seats cost $45 each and balcony seats cost $25 each. A play sells 107 tickets and makes a total of $3,375. How many of each type of ticket are sold?

Answer:

1. (-1)(x^2+x-6)

2. (-1)(x+3)(x-2)

Step-by-step explanation:

Factoring

It's given the trinomial

[tex]-x^2-x+6[/tex]

1. There is no common factor (given).

2. Factor out -1:

Each term is divided by -1:

[tex]\mathbf{(-1)(x^2+x-6)}[/tex]

3. Now we factor the remaining trinomial. We find two numbers whose sum is 1 and the product is -6. These are 3 and -2, thus the trinomial is:

(-1)(x+3)(x-2)

Answer:

Slope = [tex] \frac{4}{3} [/tex]

Y-intercept = 5

Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

Answer:

A - ASA

B - ASA

C - SAS

D - SSS

Step-by-step explanation:

I hope this helps you out!

Answer:

measure is the angle right- if so it's 76 each

180-28=152

152÷2=76

Answer:

A.5

B.16

C.11

D.3

E.5

Step-by-step explanation:

Answer:

I really dont know

Step-by-step explanation:

Answer:

step below

Step-by-step explanation:

1. (0,9) (9,0) or (7,2) or (1,8)

2. m = rise/run = (0-9) / (9-0) = -1

3. y = mx + b   for point (9,0)

y intercept ( b) = y - mx = 0 - (-1)*9 = 9

4. equation for trend line: y = -x + 9

check use (7,2): 2 = -7 + 9

Answer:

Step-by-step explanation:

Given that:

percentage of sample proportion = 76%

sample size = 100

Given that the sample proportion estimate is unbaised of the population proportion, then the percentage of all American movie-goers who think popcorn is overpriced is = 76%. Also, the mean of the sampling distribution appears to be independent of the sample size. Then, the estimate of the percentage will equally remain the same regardless it is even a sample of size 10000.

Answer:

It was originally sold at roughly $4.887

Step-by-step explanation:

1)  2.20/.45 ≈ 4.8

2) 4.8 x .45 = 2.16

3) 4.88 x .45 = 2.196

4) 4.887 x .45 = 2.19915

The original price of the ice cream is $4.8

Discounting a product means offering it at a lower price than the list price.

Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.

Let the original price of the carton be x.

x*45% = 2.20

x = 2.20*100/45

x = 4.8

Hence, the original price of the ice cream is $4.8

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Answer:

y =4(x-3)^2+2 => y=4x^2-24x+38

y=2(x-3)^2+4 => y=2x^2-12x+22

y=2(x+3)^2+4 => y= 2x^2+12x+22

Y= 4(x+3)^2+2 => y= 4x^2+24x+38

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

-8(x+2)=24   x= -5

-8x + (-16) = 24   x= -5

-8*x = -8x

-8*2= -16

Answer:

CI = 6,IA = 8

Step-by-step explanation:

I cant explain it no further

Answer:

42 1/3

Step-by-step explanation:

We subtract 26 1/6 from 68 1/2. We do this by finding the LCM of 6 and 2. That is 6. We multiply 1/2 by 3/3 to get 3/6. Now, we subtract. 68 - 26 is 42, and 3/6 - 1/6 is 2/6. Our answer is 42 2/6. That can be simplified to 42 1/3.

Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jenny has  [tex]68\frac{1}{2}[/tex]  pages.

She reads [tex]26\frac{1}{6}[/tex]

Let's suppose the remaining pages is x, then the value of x:

[tex]\rm x = 68\frac{1}{2}-26\frac{1}{6}\\\\\rm x = \frac{137}{2}-\frac{157}{6} \\\\\rm x = \frac{411-157}{6} \\\\\rm x = \frac{254}{6}[/tex]

[tex]\rm x = \frac{127}{3}[/tex]  or

[tex]\rm x = 42\frac{1}{3}[/tex]

Thus, Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

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Answer:

I think this would be 2n+3

Step-by-step explanation:

I learned this in class and I think that since you Gerry has twice the number of CDs (n) + 3, it would be 2n+3. I'm in middle school though, so I don't know if in highschool there's another step, but I hope this helps! :)

Answer:

Step-by-step explanation:

think of this as a system of equations where the colors just represent a variable like x or y

I'll just arbitrarily set colors to some variable letter so we have

purple = x

green =y

blue =z

red = a

yellow = b

so we can now rewrite the 4 known equations of the system :)

Eq. 1)  x+y = 13

Eq. 2) 2y+2z=18

Eq. 3) 2x+3y=31

Eq. 4) z + 4a = 12

Eq. 5) a * y = b

so solve the 1st eq for y   =>  y =13-x    then plug that into the 3rd eq and slove for x =>  2x + 3(13-x) =31

2x + 39 -3x = 31

2x-3x = 31 - 39

-x = -8

x=8

plug 8 into Eq. 1 for x and solve for y

8+y = 13

y=5

plug y into Eq 1 and solve for z

2(5) +2z = 18

10 +2z = 18

2z = 8

z = 4

plug z into E1 4 and solve for a

4 + 4a = 12

4a = 8

a = 2

plug a and y into Eq 5 and solve b

2 * 5 = b

10=b

go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework..  :)

Answer:

y = [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~

6x - y = 7 ⇔ y = 6x - 7

Slope of given line is 6

Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]

( - 6, - 1 )

y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)

y = [tex]-\frac{1}{6}[/tex] x - 2

Answer:

im here for the points

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

under 5 round down, 5 and up round up

Answer:

166

Step-by-step explanation:

Answer:

1. It is not a fair game.

2. The game is not fair because the probability of winning and the probability of losing are not equal.  In a fair game, the probability of winning is equal to the probability of losing.  In this game, the probability of losing is 0.81 or 81%, while the probability of winning is 19% (100 - 81).

Step-by-step explanation:

Cost of playing the game one time = $3

Total number of bills in the box = 124 (100+20+3+1)

Chance of losing is represented by 100 of $1 bills = 100/124 = 0.81 or 81%

Chances of losing are represented by 20 of $5 bills, 3 of $20 bills, and 1 $100 bill = 0.19 or 19% (20/124 + 3/124 + 1/124).

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

hii, ok so (3, 2)

Step-by-step explanation:

Just imagine the dot at (3, -4). Now just go up 6 units.  **i added a picture, its kinda junky, sorry**

Answer:

[tex] - 5x + 2y = 23 \\ when \: \: x = 3 \: and \: y = 4 \\ = - 5(3) + 2(4) \\ = - 15 + 8 \\ = 7 \\ no \: it \: doesnot \\ \\ \\ if \: equation \: is \: 5x + 2y = 23 \\ = 15 + 8 \\ = 23 \\ hence \: it \: satisfies[/tex]

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24

Given :

When Colby was born, his parents invested $1,000 in a fund that paid an

annual interest of 8%.

To Find :

How old will Colby be when the investment is worth  at least $4,000 .

Solution :

Let, time taken is x years.

So, the formula is :

[tex]P = A_o + \dfrac{A_o \times r\times t}{100}\\\\4000 = 1000 + \dfrac{1000\times 8\times t}{100} \\\\80t = 3000\\\\t = \dfrac{3000}{80} \ years\\\\t = 37.5\ years[/tex]

Therefore, Colby will be 37.5 years old.

The age of Colby will be [tex]37.5[/tex] years.

The amount after t years is given by,

                            [tex]A=P+(\frac{P*r*t}{100} )[/tex]

Where P is principal, r is rate and t is time in years.

Given that, [tex]A=4000,P=1000,r=8\%[/tex]

Substitute values in above equations.

                    [tex]4000=1000+\frac{1000*8*t}{100} \\\\\frac{1000*8*t}{100}=3000\\\\t=37.5years[/tex]

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Hey there!

The correct answer is adjacent.

The exact definition in the Oxford dictionary is "next to or adjoining something else."

Hope it helps and have a great day!

P.S. A picture of adjacent angles is below, you can see they are adjacent because they are connected.