470 patrons showed up at the opening of a new movie. 20 patrons were turned away as the cinema with 18 rows of seats was filled to capacity. What was the average number of patrons in each row? Then management then arranges the seating area for the same capacity but in 15 rows instead. How many patrons will one row hold?

Answers

Answer 1

9514 1404 393

Answer:

25 seats per row in 18 rows30 seats per row in 15 rows

Step-by-step explanation:

The total number of seats is 470 -20 = 450.

The number of seats in a row is found by dividing seats by rows.

In 18 rows

  450 seats/(18 rows) = 25 seats/row

In 15 rows

  450 seats/(15 rows) = 30 seats/row

Answer 2

Answer:

Required Answer :-

The total number of seats in the movie = 470 - 20 = 450

When 18 rows

450/18

25 patron

When 15 rows

450/15

30 patron

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Related Questions

URGENT!! I NEED HELP ASAP NOT ROCKY
Ryan wishes to purchase a new boat and can afford monthly payments of up to $300 per month. Finance is available and the terms are that the loan lasts for 3 years, and the annual interest rate is 12%. What is the maximum price for a boat that Ryan's budget can afford? Round your answer to the nearest hundred dollars.

Answers

Answer:

$9000

Step-by-step explanation:

Given

Monthly payment P = $300Time t = 3 years = 36 monthsNumber of payments n = 36Interest rate r = 12% PA = 1% per month = 0.01 times

Use loan payment formula:

P = r(PV) / (1 - (1 + r)⁻ⁿ), where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments

Substitute values and solve for PV:

300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)PV = 300*(1 - 1.01⁻³⁶ )/ 0.01 PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)

Find ? (inscribed angle)

Answers

9514 1404 393

Answer:

  107°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  X = 180° -Q

  X = 180° -73° = 107°

A carnival attraction tests your strength by how far in the air you can drive a weight with a hammer. If the weight reaches 15 feet, you win a prize. The equation h = -16t 2+ 31t + 2 gives the height, in feet, and time, in seconds of the weight after it is hit.
a. How long is the weight in the air?
b. What was the weight’s maximum height?
c. Did you win a prize? Why or why not?

Answers

Answer:

a. 2 secondsb. ~17 feetc. yes

Step-by-step explanation:

Given function:

h(t) = -16t² + 31t + 2a.

h(t) = 0 will give us the y-intercept of the graph. The greater value of t is the time the weight in the air

-16t² + 31t + 2 = 016t² - 31t - 2 = 0t = [31 + √(31²+4*16*2)]/32t =  (31 + 33)/32t = 2 secondsb.

Maximum height is reached at vertex.

The x coordinate of the vertex is determined as x = -b/(2a), considering the standard form of a quadratic function f(x) = ax² + bx + c

t = -31/(-16*2) = 31/32 = 0.96875h(0.96875) = -16(0.96875)² + 31*0.96875 + 2 = 17.015625 ftc.You win the prize as the maximum height is greater than 15 feet

help please
........​

Answers

9514 1404 393

Answer:

noyes

Step-by-step explanation:

Put the values of x and y in the equation and see if it is true.

1.  2 = 2×0 . . . . False (not a solution)

2. 12 = 6×2 . . . True (is a solution)

witch function defines (g . f)(x)

f(x)=log(5x)
g(x)=5x+4

a.) (g . f) (x)=5x log(5x) + 4log(5x)
b.) (g . f) (x)=5x log(5x)+ 4
c.) (g . f) (x)=5x + 4 +log(5x)
d.) (g . f) (x)=5x - 4 - log(5x)​

Answers

Answer:its A

Step-by-step explanation:

I ask my teacher so its A

In Springfield, a specific town in the US, 6 women and 25 men earned bachelor degrees in 2000. In 2010, however, 391 women and 410 men in that town earned bachelor degrees. Assume that the rate of change was constant between 2000 and 2010.
a. Without using regression, write a system of equations that model the number of bachelor degrees earned by men and women in Springfield as a function of x, the number of years since 2000. Show your work.
Equation for Springfield’s men:
Equation for Springfield’s women:

Answers

Answer:

See below

Step-by-step explanation:

For women, the initial number is 6, constant rate of change is w, number of years is x.

Find the rate of change and work out the required formula:

10w + 6 = 391 ⇒ 10w = 385 ⇒ w = 38.5

Formula:

W(x) = 38.5x + 6

Similarly for men, we get:

10m + 25 = 410 ⇒ 10m = 385 ⇒ m = 38.5

Formula:

M(x) = 38.5x + 25

Answer:

Women = 44.5

Men = 63.5

Step-by-step explanation:

A game show is offering a prize of 1 cent on the first day , 3 cents on the second day 9 cents on the third day , etc. What is the total amount of money earned from this prize in two weeks ?

Answers

Answer:

$15943.23

Step-by-step explanation:

each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer

Answer:

2,391,4.84 dollars

Step-by-step explanation:

1,    3  ,    9...

on the 1st day, 3^0

on the 2nd day, 3^1

on the 3rd day, 3²

:

one the 14th day, 3^(14-1)

=> 3^13

=> 1,594,323

"Total about of money" => have to add up the money from the 1st day to the 14th day:

1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484

2t + t =68
a. find t
b. fint 2t​

Answers

Answer:

t = 22[tex]\frac{2}{3}[/tex]

2t = 45[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

3t = 68

t = 68/3

The range of the numbers 34 32 12 65 and 45 is

Answers

Answer:

53

Step-by-step explanation:

Range is found by subtracting the largest number in a set by the smallest number.

Set: {12, 32, 34, 45, 65}

Largest number: 65

Smallest number: 12

65 - 12 = 53

hope this helps and is right :)

A baker has small and large bags of sugar for making cakes. The large bag contains 30 cups cups of sugar and is 2.5 times larger than the small bag. The small bag contains enough sugar to make 9 cakes and have 0.75 cups of sugar remaining. How many cakes can be made with a large bag of sugar?

Answers

Answer:

Step-by-step explanation:

The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.

What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.

9x + 0.75 = 12

First, subtract 0.75 from both sides. With that, we can solve for x directly.

9x = 12 - 0.75

9x = 11.25

Now, divide both sides by 9.

x = 11.25/9

x = 1.25

With that, we now know that each cake needs 1.25 cups of sugar.

With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.

With that done, we have our answer. 24 cakes can be made with a large bag of sugar.

I hope this helps!  (⌒ω⌒)

2mn – 5z + 7

PLEASE HELP!!

Answers

Answer:

it's already simplified

what do you want me to do? tell me what kind of equation it is?

it's a linear trinomial

Step-by-step explanation:

It’s already simplified I don’t get what your asking

If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?

Answers

Answer:

B

Step-by-step explanation:

this will include all people and not just a specific group like all in a certain grade/s or all in the same class

Answer: break them up into parts

Step-by-step explanation:

Hurry and answer i need a real answer

Answers

Answer:

C

Step-by-step explanation:

Spinner B has 4/12ths of yellow and spinner a has 2/6ths. 2/6 is equivalent to 4/12ths

Answer:

C  :>

Step-by-step explanation:

help i'll give you brainlyest

Answers

Answer: it c i think   if im wrong dont be mad 0-0

Step-by-step explanation:

ok thx

Evaluate the expression when d= 75
2d + –45d = 0

Answers

Answer:

- 3225

Step-by-step explanation:

d = 75

2d + ( - 45 d )

= 2 ( 75 ) - 45 ( 75 )

= 150 - 3375

= - 3225

f(x) = 5x^2 + 9x – 4
g(x) = – 8x^2 – 3x – 4
Find (f + g)(x).

Answers

Answer:

(f + g)(x) = – 3x^2 + 5x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)

= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

The sum of the given functions is defined as the expression (f + g)(x) which is equal to -3x²  + 6x  – 8.

Use the concept of quadratic function defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

The given functions are:

f(x) = 5x² + 9x – 4

g(x) = – 8x² – 3x – 4

Since (f + g)(x) = f(x) + g(x)

Then put the functions,

(f + g)(x) = (5x² + 9x – 4) + ( – 8x² – 3x – 4)

Rearranging like terms,

(f + g)(x) = 5x²– 8x²  + 9x – 3x – 4  – 4

Simplifying it,

(f + g)(x) = -3x²  + 6x  – 8

Hence,

The expression for (f + g)(x) is -3x²  + 6x  – 8.

To learn more about quadratic equations visit:

https://brainly.com/question/30098550

#SPJ6

y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45

Answers

Answer:

A. 45

Step-by-step explanation:

Answer: A. 45

Step-by-step explanation:

In the y=mX+b formula the number by itself with no variable or b is the y-intercept.

1 plus 1 please help!!1!!!1

Answers

Answer:

1 plus 1 equals window........

Answer:

I think the answer is orange

Step-by-step explanation:

#Eleventeen

Anyone know the answer to this question?

Answers

Use 3.14*13^2 is your answer please give brainliest!

Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.

Answers

Answer:

German Test

Step-by-step explanation:

Find common denominator:

34/50=68/100

14/20=70/100

Therefore, Abeer did better on the German test as 14/20>34/50

which expression is equivalent to 7/12 - 2/12

Answers

Answer:

5/12

Step-by-step explanation:

7/12-2/12=5/12=0.416

rewarding 20 points pls help.
Which ordered pair is a solution of y = x+4
A.(0,0)
B.(5,54)
C.(7,28)
D.(9,13)

Answers

Answer=D

Explanation- when 4 is added to 9, it would be 13

Solve the expression using absolute value.
|−16|+|−12|

Answers

Answer:

16 + 12 = 28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Hello!

Remember that any negative number inside of the absolute value brackets turns positive, and any positive number stays positive.

Simplify|-16| + |-12|16 + 1228

The simplified expression is 28.

4) Suppose y varies inversely with the SQUARE ROOT of x.
When x = 4, y = 100.
Which variation equation you need to use? (a) y = kx or (b) y = k/x?
Find the constant of Variation (K) and then find the Variation Equation by plugging the value of k.

Answers

Answer:

Variation equation: y = k/√x

constant of variation: 200

Variation Equation by plugging the value of k: y = 200/√x

Step-by-step explanation:

If y varies inversely with the SQUARE ROOT of x, then;

y = k/√x

If  x = 4, y = 100.

100 = k/√4

100 = k/2

200 = k

k = 200

Substitute into the expression

y = k/√x

y = 200/√x

GIVING BRAINLY need urgent help give evidence if you just answer for points you will be reported no biTLY LINKS

Answers

Answer: I think the first one so A.

Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not
make any additional deposits or withdrawals. How much Interest will Tamara earn on her
Investment at the end of 3 years?
F $1,800
G $600
H $450
J $1.873

Answers

Answer:

F $1800

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 15000 × 0.04 × 3 = 1800

I = $ 1,800.00

The simple interest accumulated

on a principal of $ 15,000.00

at a rate of 4% per year

for 3 years is $ 1,800.00.

Answer:

F. $1800

Step-by-step explanation:

Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.

The following formula can be used to describe this scenario,

[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]

Substitute,

[tex]=(3)((15000)(4))[/tex]

To convert a percent to decimal form, divide the percent by (100)

[tex]=(3)((15000)(0.04))[/tex]

[tex]=(3)(600)\\\\=1800[/tex]

What’s the answer to this question ?

Answers

Step-by-step explanation:

112=35+d

112-35=d

d=77

hope it helps u

subtract 35 from both sides and d= 77

9 = 3 (1/2 + k)
explanation

Answers

K= 5/2 or 2 and 1/2 or 2.5

Help me PLEASEEE NO LINKS AND PLEASE DO NOT ANSWER FOR POINTS YOU WILL BE REPORTED IF YOU DO AND THANK YOU TO THOSE WHO ARE GOING TO HELP ME

Answers

Answer:

160 the total area

Step-by-step explanation:

10×10=100=area of square

5×12=60=area of triangle

Find the center and the radius of the circle with the equation:
x^2 - 2x + y^2 + 4y + 1 = 0

Answers

What are the ^ supposed to mean multiplecation?

Answer:

center:  (1, -2)

radius:  2

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This would have no effect on the company's other sales. The variable selling and administrative costs would have to be incurred to sell the defective units. The cost that is relevant as a guide for setting a minimum price on these defective units is: (Round your answer to two decimal places.) Multiple Choice $35.60 per unit. $7.90 per unit. $17.80 per unit. $31.50 per unit. And Naomi said unto her two daughters-in-law, "Go, return each to her mother's house: the LORD deal kindly with you, as ye have dealt with the dead, and with me. . . ." And they lifted up their voice, and wept again: and Orpah kissed her mother in law; but Ruth clave unto her. . . . "Wherever you go will I go, and wherever you stay will I stay. Your people shall be my people and your God my God. Wherever you die will I die and beside you will I be buried. I vow that only death will separate me from you. . . ." So Naomi returned, and Ruth the Moabitess, her daughter in law, with her, which returned out of the country of Moab: and they came to Bethlehem in the beginning of barley harvest. King James Bible Reread the part of the excerpt that begins, Wherever you go will I go. What is Ruth telling her mother-in-law, Naomi? God will save Naomi. When Naomi dies, she will be beside her. She is willing to convert to Judaism. She will return to Moab.