14. The maximum capacity for seating in a theater is 500 people. The theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each. If they sold out on a certain showtime and made a total of $3,157 in ticket sales, how many of each types of tickets was sold out that showtime?

Using the intersection operation between two data-sets, it is found that the graph of x > a and x < b is similar to the graph of x > a for a < x < b and different for x > b.

The result of the intersection operation between two data-set is the set that contains elements that belong to both sets.

For this problem, we have that a is to the left of b, as a < b, hence:

Hence:

The graph of x > a and x < b is similar to the graph of x > a for a < x < b and different for x > b.

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Answer:

6.29 × 10^-5

Step-by-step explanation:

0.0000629

The number part of the answer is 6.29

To go from 0.0000629 to 6.29, the decimal point needs to move 5 places to the right, so the exponent on the 10 must be -5.

0.0000629 = 6.29 × 10^-5

Answer: 6.29*10^(-5)

Step-by-step explanation:

0.0000629=

0.629*10^(-4)=      ==> there are 4 zeros before the decimal point.

6.29*10^(-(4+1))=6.29*10^(-5)

The length of the smallest, medium and the longest piece of wood are 7.625, 15.25 and 38.125 inches.

The wood is 61 inches and it is divide into 3 pieces.

The longest piece is 5 times the length of the smallest piece.

The medium piece less than 2 times the length of the smallest.

let

z = length of the smallest piece of wood

longest piece = 5z

medium piece = 2z

The equation to represent the total piece together is equal to 61 inches.

z + 5z + 2z = 61

Therefore, the length of each wood piece can be calculated as follows:

z + 5z + 2z = 61

8z = 61

z = 61 / 8

z = 7.625 inches

longest piece = 5(7.625) = 38.125 inches

medium piece = 2(7.625) = 15.25 inches

Therefore, the length of the smallest, medium and the longest piece of wood are 7.625, 15.25 and 38.125 inches.

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Based on the given points on the graph, the equation for the line of best fit or the trend line is y = 1.874x + 3.656

Due to the fact that the points on the graph are not on a straight line, the least squares method can be used to find the line of best fit equation.

Using a linear regression calculator, you can find the equation of the trend line by inputting the values of y and x in the graph.

When run through a linear regression calculator, the result will be:

y = 1.874x + 3.656

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Answer:

3

Step-by-step explanation:

The coordinates of I ( x, y) = ( 6, 11 )

What is coordinate in math?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

The coordinates of the  G = (2,7)

The coordinates of the  H = (11,16)

Point I is on GH and divides it such that GI:HI is 4:5.

the coordinates of I ( x, y)

                      [tex]x = \frac{m_{1}x_{2} + m_{2} x_{1} }{m_{1} + m_{2} }[/tex]

                      [tex]x = \frac{4 * 11 + 5 * 2}{ 4 + 5}[/tex]

                   x = 6

[tex]y = \frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1} + m_{2} }[/tex]

[tex]y = \frac{4 * 16 + 5 * 7}{9}[/tex]

y = 11

the coordinates of I ( x, y) = ( 6, 11 )

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per-student expenditures will be about $ 9.16.

Public school per-student expenditures in 1990 is $4.60

per-student expenditures in 2013 is $10.8

in 23 years per student expenditure has increase of 10.8-4.60 = $6.2

in 1 years per student expenditure has increase of  $6.2/23.

in 34 years per student expenditure has increase of  ($6.2/23)34 =$9.16

per-student expenditures will be about $ 9.16.

the act of spending (as money, time, or power) 2 : something this is spent hold a file of your costs. expenditure.

What are examples of costs?

Expenditure – this is the whole purchase fee of a great or service. for instance, a agency buys a $10 million piece of device that it estimates to have a useful life of five years. this will be labeled as a $10 million capital expenditure.

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Answer: is C y=-2x-2                  

jwndnknwdkwnkw

Because it matches a parabola to the curve rather than a straight line, Simpson's rule is more precise.

Why is trapezoidal less accurate than Simpson's rule?

What are Simpson's rule's restrictions?

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Answer:

Yes; no

Step-by-step explanation:

a. If we divide 20 by 5, we get 4. Meaning, both 4 and 5 are divisors of 20.

b. 10 is not a multiple of 20; The multiples of 20 are 20, 40, 60, 80, 100, 120, 140, etc. Multiples only go upwards not down. Nothing plus 20 is equal to 10 therefore 10 is not a multiple of 20. 20 is a multiple of 10 though.

Answer:

A

Step-by-step explanation:

Range is on the y-axis, therefore, it would be from -1 to 5.

Answer:

find the profound of life by your ethernal soul

Answer: 4.113

Step-by-step explanation: so like 1 goes into 4 4 times and then 2 dont go inna 9 so you got 11 because if you cant go down u goin up and then  da three go into nine evenly so like i hope you fail

Answer:

6.22

Step-by-step explanation:

1.23 + 4.99 is equal to 6.22.

(If adding decimals is a harder concept for you, just ignore the decimal point and add normally.)

Hope this helped!

(ratings and voting brainliest always help)

The question for this information:

The cost of buying 3 airline tickets at a promotional discount of 20% is 330 dollars. Find the regular cost of 1 ticket.

Discounts and allowances are price reductions from a product's or service's base price.

Discount is calculated by subtracting the sell price of an article from its Marked price.

The given conditions in the question are

So from the above information we can see that if the price of a ticket is c dollars then the discounted price of 1 ticket will be (c - 0.2c).

Total price of 3 tickets =3(c - 0.2c)

but the total price is 330 dollars

Therefore:

3(c - 0.2c) =330

or, 2.4c=330

or, c=330÷2.4

or, c=137.5 dollars

Hence the regular price of each ticket is 137.50 dollars.

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Answer: RS=2.4

Step-by-step explanation:

QR=RS  ==> R is the midpoint of QS, so the distance from point R and point Q is equal to the distance from point R and point S.

7x-6=2x

7x=2x+6

5x=6

x=6/5

x=1.2

RS=2x

RS=2(1.2)

RS=2.4

Answer:

3.3125

Step-by-step explanation:

53/16  is the same as   53 ÷ 16 =3.3125

Answer:

113.04 square feet

Step-by-step explanation:

A = π[tex]r^{2}[/tex]

A = π [tex](6[/tex][tex])^{2}[/tex]

A = 3.14 (36)

A = 113.04

Answer:√78= 8.9 √98= 9.9

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

So first, we can simplify 72/98. If we divide both the numerator and denominator by 2, to get a simplified fraction.  So we need to solve 72/2 and 98/2.  72/2 = 36 and 98/2 = 49 So now we have a simplified fraction. So now, we are left with the square root of 36/49, and we apply the radical rule. So now we have simplified radicals that make things easier. The square root of 36 is 6, while the square root of 49 is 7. This is because 36 can be broken down into factors of 6 and 6, so like 6^2 = 36. So square root of 36 is 6. While 49 can be broken down as 7 and 7, so like 7^2 = 49, so square root of 49 is 7. Therefore our answer is 6/7.

I hope this helps, have a blessed day!

The total price the store charges to deliver $140 worth of groceries will be $4.20.

It should be noted that the certain grocery store charges a fee of 3% of the total bill to have groceries delivered.

Therefore, the total price the store charges to deliver $140 worth of groceries will be:

= Percentage charged × Cost

= 3% × $140

= 0.03 × $140

= $4.20

The amount charged is $4.20.

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The monthly payment to Craig is $ 3093.75

Given,

The payment got by Craig for his job = $ 18.75 per hour

Weekly working hours of Claig:

Week 1 = 37 hours

Week 2 = 47 hours

Week 3 = 42 hours

Week 4 = 39 hours

We have to find the total monthly payment of Craig:

That is,

Week 1 + Week 2 + Week 3 + Week 4

For getting the weekly salary, we have to multiply hourly payment with hours worked:

So,

Week 1 = 37 × 18.75 = 693.75

Week 2 = 47 × 18.75 = 881.25

Week 3 = 42 × 18.75 = 787.5

Week 4 = 39 × 18.75 = 731.25

Now calculate the total monthly payment:

That is,

693.75 + 881.25 + 787.5 + 731.25 = 3093.75

Therefore,

The monthly payment to Craig is $ 3093.75

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Han ran 1.75 miles

because 25% of 7 is 1.75

Answer:

30 feet

Step-by-step explanation:

1 minute = 2 feet

15 minute = ? Feet

15 x 2 = 30

? = 30 feet

a) The organization of ledger accounts under an accounting equation and journal entries are as follows:

                         Assets                               =  Liabilities + Equity

            Cash +   Inventory + A/Receivable                    C.Stock  R/Earnings

1.       $43,000                                                                 $43,000

2.       -28,000   $28,000

3.                                                $42,000                                          42,000 S/Revenue

4.                        -20,000                                                                  -20,000 COGS

5.        37,000                            -37,000

6.        -9,800                                                                                     -9,800 Op Exp.

Bal. $42,200      $8,000           $5,000                      $43,000    $12,200

Debit Cash $43,000

Credit Common Stock $43,000

Debit Inventory $28,000

Credit Cash $28,000

Debit Accounts Receivable $42,000

Credit Sales Revenue $42,000

Debit Cost of goods sold $20,000

Credit Inventory $20,000

Debit Cash $37,000

Credit Accounts Receivable $37,000

Debit Operating expenses $9,800

Credit Cash $9,800

b1)

Jana's Flowers

For the year ended December 31, Year 1

Sales Revenue           $42,000

Cost of goods sold    $20,000

Gross profit                $22,000

Operating expenses   $9,800

Net income                $12,200

b2) Jana's Flowers

December 31, Year 1

Cash                           $42,200

Accounts Receivable  $5,000

Inventory                     $8,000

Total assets             $55,200

Common Stock        $43,000

Retained Earnings      12,200

Total equity            $55,200

b3) Jana's Flowers

For the year ended December 31, Year 1

Net income                $12,200

Changes in working capital:

Accounts Receivable  (5,000)

Inventory                      (8,000)

Operating cash flow     ($800)

Financing activities:

Common Stock       $43,000

Cash flows              $42,200

c) I do not agree with this statement.  It does not necessarily flow that Jana selling $42,000 in goods will be able to recover more than half of the $43,000 she invested in her business.  So far, she has made $12,200 from her investment.

Cash $43,000 Common Stock $43,000

Inventory $28,000 cash $28,000

Accounts Receivable $42,000 Sales Revenue $42,000

Cost of goods sold $20,000 Inventory $20,000

Cash $37,000 Accounts Receivable $37,000

Operating expenses $9,800 Cash $9,800

Thus, it will take time for Jana to recover her investment in the business.

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Answer:

Your answer is [tex]2x^{10}[/tex].

Step-by-step explanation:

Step-by-step explanation:

x²+16=2

x²+16-2=0

x²+14=0

x²=-14

x=√-14=7i