there are 182 seats in a theater. The seats are evenly divided into 13 rows. How many seats are in each row

Answers

Answer 1

There are 14 seats in each row.

Related Questions

a company must select 4 candidates to interview from a list of 12, which consist of 8 men and 4 women.

How many selections of 4 candidates regardless of gender?
How many selections are possible, if 2 women must be selected?
How many selections are possible, if at least 2 women must be selected?

Answers

Part A

If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.

The number of possible selections of 4 candidates from 12 is given by

[tex] ^{12}C_4= \frac{12!}{4!(12-4)!}= \frac{12!}{4!\times8!} =11\times5\times9=495[/tex]

Therefore, the number of selections of 4 candidates regardless of gender is 495.

Part B:

If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.

The number of possible selections of 2 men candidates from 8 and 2 women candidates from 4 is given by

[tex] ^{8}C_2\times ^{4}C_2= \frac{8!}{2!(8-2)!}\times \frac{4!}{2!(4-2)!} \\ \\ = \frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!} =4\times7\times2\times3=168[/tex]

Therefore, the number of selections of 4 candidates such that 2 women must be selected is 168.

Part 3:

If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.

The number of possible selections of 2 men candidates from 8 and 2 women candidates from 4 of 1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by

[tex] ^{8}C_2\times ^{4}C_2+ ^{8}C_1\times ^{4}C_3+ ^{8}C_0\times ^{4}C_4 \\ \\ = \frac{8!}{2!(8-2)!}\times \frac{4!}{2!(4-2)!}+\frac{8!}{1!(8-1)!}\times \frac{4!}{3!(4-3)!}+\frac{8!}{0!(8-0)!}\times \frac{4!}{4!(4-4)!} \\ \\ = \frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!}+\frac{8!}{1!\times7!}\times\frac{4!}{3!\times1!}+\frac{8!}{0!\times8!}\times\frac{4!}{4!\times0!} \\ \\ =4\times7\times2\times3+8\times4+1\times1=168+32+1=201[/tex]

Therefore, the number of selections of 4 candidates such that at least 2 women must be selected is 201.

Selections of 4 candidates regardless of gender would result in 12c4, or 12!/(8!*4!) = 9*10*11*12 = 495 possibilities. Selections of 4 candidates where exactly two must be women would result in 8c2 (for the men) * 4c2 (for the women) = 8!/(6!*2!) * 4!/(2!*2!) = 28 * 6 = 168 possibilities. Selections of 4 candidates where AT LEAST two must be women would result in the above 168 (2 women) plus groups where there are exactly three women (8c1*4c3 = 8*(4!/(3!*1!) = 8*4 = 32) plus groups where there are exactly 4 women (1). So there are 168 + 32 + 1 = 201 possible selections of 4 from this group where at least 2 are women.

The tank for a car holds
18
18
gallons. The gasoline gauge shows the tank is
1
3

13
full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms

Answers

namely, if the tank is 1/3 full, how much is 1/3 of 18? is just their product.

[tex]\bf 18\cdot \cfrac{1}{3}\implies \cfrac{18}{3}\implies \stackrel{gallons}{6}[/tex]

Final answer:

To calculate the amount of gas left in the tank, you should multiply the total capacity of the tank, which is 18 gallons, by the fraction that represents the amount of gas remaining, which is 1/3. Thus, there are 6 gallons of gas still in the tank.

Explanation:

To answer this question, we should multiply the total capacity of the tank, which is 18 gallons, by the fraction that represents the amount of gas remaining, which is 1/3. This will give us the number of gallons of gas left.

Now, apply the multiplication: 18 gallons * 1/3 = 6 gallons.

So, there are 6 gallons of gas still in the tank.

Learn more about multiplication of fractions here:

https://brainly.com/question/9281754

#SPJ3

How many sixteens are in 15/16

Answers

There are 15 1/16's

hope this helps

What is the largest place value of 585

Answers

The 100s place value is the largest in 585

How many weeks correspond to 56 days? Explain

Answers

Answer:

8 weeks

56 days equals 8 weeks or 8x7 = 56

Step-by-step explanation:

What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?
A)y−2=13(x−6)
B) y+6=13(x+2)
C) y−6=13(x−2)
D) y+2=13(x+6)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ -6}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 13 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-6)=13[x-(-2)] \\\\\\ y+6=13(x+2)[/tex]

Why do you sometimes have only one multiplication sentence for an array?

Answers

Tbh I don't know because yeah I don't know and this is like yeah

Can you answer all of these please?!?!

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.(1 point)
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. (3 points)
Answer:

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a) (2 points)
(b) (2 points)
(c) (2 points)
Answer:

3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items. (1 point)
(b) Solve the equation. Show your work. (2 points)
(c) Check your solution. Show your work. (1 point)
(d) State the solution in complete sentences. (1 point)
Answer:

Answers

1) sister-x
kim-2x
x+2x=36
3x=36
x=12
2x=24
Kim is 24 years old and her sister is 12 years old.

3) Tanya-3x
Tony-4y
x-2.25=y
3x=4y
3x=4x-9
9=x
6.75 =y

Tanya's was 9 $ and Tony's was 6.75 $

How do u solve 24tenths-1 one 3 tenths

Answers

Hey there!

24 tenths is 240
3 tenths is 30
1 one= 1
240-1=239
239-30=
209

Hope it helps!

I need help please 4x-10=2(2x-5)

Answers

Since the results are equal to each other, there is more than one solution to x

what percent of 29.5 is 10.03

Answers

so if we take 29.5 to be the 100%, what is 10.03 in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 29.5&100\\ 10.03&p \end{array}\implies \cfrac{29.5}{10.03}=\cfrac{100}{p}\implies p=\cfrac{10.03\cdot 100}{29.5}[/tex]

store decreased its price on a computer by $112 to $478. What was the original price

Answers

Well if it's $112 less and the price is now $478. You just have to add $112 to $478= $590.

Answer:

$590.

Step-by-step explanation:

Let x be the original price of computer.

We have been given that a store decreased its price on a computer by $112 to $478.

This means x minus 112 equals to 478. We can represent this information in an equation as:

[tex]x-\$112=\$478[/tex]

Let us add $112 to both sides of our equation.

[tex]x-\$112+\$112=\$478+\$112[/tex]

[tex]x=\$590[/tex]

Therefore, the original price of computer was $590.

Beth purchased a computer, and its value depreciated exponentially each year. Beth will sketch a graph of the situation, where x represents the number of years since she purchased the computer, and y represents its value that year.

Beth will only sketch the graph in the quadrant or quadrants for which it makes sense to.

In which quadrant or quadrants will Beth sketch the graph?

1. Quadrants I and IV only

2. Quadrant I only

3. Quadrants I, II, III, and IV

4. Quadrants I and II only

Please help, thank you

Answers

number 2 is the correct answer

x represents the number of years since purchase. Can x be negative? NO! Number of Years will have to be positive.y represents the value of the computer at a specific year. Can this be negative? NO! Value of 0 is when the computer is totally worthless. Negative value doesn't exist for computer.

So we need a quadrant where x is positive and y in positive. It is the first quadrant.

Answer choice 2 is right.

ANSWER: Answer Choice #2 (Quadrant I only)

Anne is comparing savings accounts. One account has an interest rate of 1.2 percent compounded yearly, and one account has an interest rate of 1.2 percent compounded monthly. Which account will earn more money in interest?

Answers

in short and without much fuss

let's say Anne puts "x" amount in the account at 1.2% rate annually, that means after 1 year, she will have "x" + 1.2% of "x", or 1.012x to be exact.

the 1.2% rate, kicks in as the period of a year is met.

now, what if Anne puts it in the monthly compounded type? that means, the compounding period is a month, so after 1 month, she has 1.2% extra, or 1.012x, and after 2 months, she will have 1.2% extra of 1.012x, or 1.012144x, and after 3 months, she will have 1.2% extra of 1.0121x, or 1.012145728x and so on.

anyhow, the shorter the compounding period, the more the 1.2% kicks in, the more accumulation in the account.

Final answer:

An account with an interest rate of 1.2 percent compounded monthly will earn more money than one compounded yearly because of how compound interest works, earning 'interest on interest' throughout the year.

Explanation:

The student's question asks which savings account would earn more money, one with an interest rate of 1.2 percent compounded yearly, or one with the same interest rate but compounded monthly. When interest is compounded, it means the bank pays interest on both the original amount of money and any interest that account has already earned. With compounded interest, you end up earning interest on interest.

For the account with yearly compounding at a rate of 1.2 percent, the formula to calculate the amount after one year would be A = P(1 + r/n)^(nt), where P is the principal amount, r is the annual interest rate (decimal), n is the number of times interest is compounded per year, and t is the time in years. In this case, n is 1 because the interest is compounded annually. Therefore, the amount after one year would be A = P(1 + 0.012/1)^(1×1) or A = P(1.012).

For the monthly compounded account, the same formula applies, but n would be 12 because the interest is compounded monthly. So, the amount after one year would be A = P(1 + 0.012/12)^(12×1).

When you perform these calculations, the account with the monthly compounding will yield a slightly higher amount than the annually compounded account because interest is being added more frequently. Each month's interest is then earning interest in the following months, leading to a process known as 'interest on interest'. Though the difference may not be substantial for small amounts and low interest rates, over longer periods, or with higher rates and balances, the difference can become significant.

which statement describes the function below f(x)=2x^3-3x+1

Answers

The given function is f(x)=2x^3+2x^2-x. In this case, the highest degree among the terms is 3. According to the Fundamental Theorem of Algebra, the number of zeros or roots of the equation is equal to the highest degree among the terms. Hence for every value of y, there are 3 equivalent x's. The answer thus is B. It is a many-to-one function.

Evaluate the polynomial xyz^2-z when x=6, y=-4, and z=-2

Answers

Sent a picture of the solution to the problem (s).

How does translating a figure using the formal definition of a translation compare to the previous method of translating a figure?

Answers

It is essentially the same process just different notation.

This method is easy to understand and easy to apply to any figure than the other methods.

What is a translation of the figure?

When the figure is moved from one place to another place is called translation of the figure.

When we add in x then the figure will translate toward the left.

And when we subtract in x then the figure will translate toward the right.

If we add in y then the figure will translate downward.

And when we subtract in y then the figure will translate upward.

This method is easy to understand and easy to apply to any figure than the other methods.

More about the translation of the figure link is given below.

https://brainly.com/question/933695

Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit:
• She wants to hike for 2 hours.
• She wants to spend no more than 6 hours away from home.
• She can average 50 miles per hour to and from the park.

Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.

Answers

Answer: 27

i would say 54/2=27

Step-by-step explanation:

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2?

Answers

The answer to this question What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is (7/65/128)

Answer:

[tex]\frac{765}{128}[/tex]

Step-by-step explanation:

We have been given that 1st term of a geometric series is 3 and common difference is 1/2 . We are asked to find the sum of 1st 8 terms of the given series.

We will use geometric series formula to solve our given problem.

[tex]S_n=\frac{a_1(1-r^n)}{1-r}[/tex]

Upon substituting our given values in the above formula we will get,

[tex]S_8=\frac{3(1-(\frac{1}{2})^8)}{1-\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(1-\frac{1^8}{2}^8)}{\frac{2-1}{2}}[/tex]

[tex]S_8=\frac{3(1-\frac{1}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(\frac{256-1}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(\frac{255}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=3(\frac{255}{256}\times\frac{2}{1})[/tex]

[tex]S_8=3(\frac{255}{128})[/tex]

[tex]S_8=\frac{765}{128}[/tex]

Therefore, the sum of our given series is [tex]\frac{765}{128}[/tex].

Which second-degree polynomial function has a leading coefficient of –1 and root 5 with multiplicity 2?

Answers

A second degree polynomial function has the general form:

[tex]\displaystyle{f(x)=ax^2+bx+c[/tex], where [tex]a\neq0[/tex].

The leading coefficient is a, so we have a=-1.

5 is a double root means that :

i) f(5)=0,
ii) the discriminant D is 0, where [tex]D=b^2-4ac[/tex].

Substituting x=5, we have

f(5)=a(5)^2+b(5)+c,

and since f(5)=0, and a is -1 we have:

0=-25+5b+c
thus c=25-5b.

By ii) [tex]\displaystyle{b^2-4ac=0[/tex].

Substituting a with -1 and c with 25-5b we have:

  [tex]\displaystyle{b^2-4ac=0[/tex]
  [tex]\displaystyle{b^2-4(-1)(25-5b)=0[/tex]
  [tex]\displaystyle{b^2+4(25-5b)=0[/tex]
  [tex]\displaystyle{b^2-20b+100=0[/tex]
  [tex]\displaystyle{(b-10)^2=0[/tex]
  [tex]\displaystyle{b=10[/tex]

Finally we find c: c=25-5b=25-50=-25

Thus the function is      [tex]\displaystyle{f(x)=-x^2+10x-25[/tex]

Remark: It is also possible to solve the problem by considering the form

[tex]f(x)=-1(x-5)^2[/tex] directly.

In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is [tex]f(x)=a(x-r)^2[/tex]

Answer:

f(x) = 2x2 – 4x – 30

Step-by-step explanation:

Got it right

how can you use a mapping diagram to determine the domain and the range of a relation?

Answers

Step 1: Draw the mapping diagram for the given relation.
Step 2: A relation is a function if each element in the domain is paired with one and only one element in the range.
Step 3: From the mapping diagram, it can be observed that the given relation is not a function as '3' in the domain is paired with two elements - 1 and - 2 in the range and '6' is paired with - 1 and - 2.

  Domain Range
    3   | -1
|
|
  6    |   -2

The method of using a mapping diagram to determine the domain and the range of a relation is outlined in; Steps 1 to 3 below.

A mapping diagram is one that shows how the elements are paired. Furthermore It is drawn like a flow chart for a function to depict the input and output values.

Now, mapping diagrams consists of two parallel columns. The first column is one that represents the domain of a function while the second column represents the range of the function.

Now the steps in using a mapping diagram to determine the domain and the range of a relation are;

Step 1: Draw the mapping diagram for the given function relation.

Step 2: A relation from the mapping diagram will be tagged as a function if each element in the domain column is paired with only one element in the range column

Step 3: However, if an element in the domain column of the mapping diagram can be paired to than 1 element in the range column, then the relation is said to not be a function.

Read more about mapping diagrams at; https://brainly.com/question/1625866

at the metal-casting company where i work, i must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. the castings cool at the rate of 0.03 degrees fahrehnheit per second and must not be allowed to cool more that 7 degree's fahrenheit before being heat rtreated. what is the minimum speed per second that the conveyor must move?

Answers

Maximum time allowed = 7 deg. / 0.03 deg/s = 233.3 s
Minimum speed = 55 yd * 3 ft/yd / 233.3 s
= 0.707 ft/s

Which metric unit would you use to measure: 1.The length of a newspaper. 2. The height of a lamp post. 3. The length of a bus route. 4. The width of a ruler.

Answers

there are 3 meter grams or liters
liters is liquid
meters is how long or wide
grams is weight
i would use meters

Mrs marks has 9 1/4 ounces of fertilizer for her plants. She plans on using 3/4 ounce of fertilizer for each plant. How many plants can she fertilize?

Answers

"9 1/4 ounces of fertilizer, 3/4 ounce of fertilizer for each plant."

Divide the total amt. of fert. by the amt. that goes to each plant:

9 1/4 oz
-----------------------
(3/4) oz per plant

Convert 9 1/4 to an improper fraction: 9 1/4 = 37/4.

Now divide 37/4 by 3/4, or divide 37 by 3. Result: 12 1/3 plants.

Ms. Marks can fertilize 12 plants and have 1/3 oz of fertilizer left over.

Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $675. It's original price is $900. What percent of the original price will you save if you purchase it?

Answers

Attached a solution and showed work.

Answer:

[tex]25\%[/tex]

Step-by-step explanation:

Given: you go shopping for a new futon bed for your apartment/home.The model you really like happens to be on sale for [tex]\$675[/tex]. It's original price is [tex]\$900[/tex].

To Find: What percent of the original price will you save if you purchase it.

Solution:

Original price of model [tex]=\$900[/tex]

discounted price of model on sale [tex]=\$675[/tex]

Now,

money saved by buying model from sale [tex]=\text{original price}-\text{price on sale}[/tex]

[tex]900-675[/tex]

[tex]\$225[/tex]

percentage of the original price saved [tex]=\frac{\text{Amount saved}}{\text{original price of model}}\times100[/tex]

putting values

[tex]\frac{225}{900}\times100[/tex]

[tex]\frac{225}{9}[/tex]

[tex]25\%[/tex]

[tex]25\%[/tex] of original price can be saved if model is purchased from sale.

Write the whole number as an equivalent fraction with the indicated denominator.

Answers

need more information

One slice of cheese pizza contains 310 calories. A medium-size orange has one-fifth that number of calories. How many calories are in a medium-size orange? -Please help me understand!

Answers

The medium sized orange would have 62 calories. To divide by 1/5, which in decimal form is 0.2, you just multiply 310 by 0.2, therefore, giving you 62. Hope this helps!

We must divide the number of calories in the pizza by five to find out how many calories are in the medium-size orange.

310 / 5 = 62

There are 62 calories.

how do i graph y=1/2Sinø/2?

Answers

[tex]\fb \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\ % function transformations for trigonometric functions \begin{array}{rllll} % left side templates f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}} \\\\ f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\ f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}} \end{array} \\\\ -------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks}\\ \left. \qquad \right. \textit{horizontally by amplitude } |{{ A}}|\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}[/tex]

[tex]\bf \bullet \textit{function period or frequency}\\ \left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ \left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)[/tex]

now, with that template in mind,

[tex]\bf \stackrel{parent~function}{y=sin(\theta )}\qquad \qquad y=\stackrel{A}{\frac{1}{2}}sin\left(\stackrel{B}{\frac{1}{2}}\theta \right) \\\\\\ Amplitude\implies \frac{1}{2} \\\\\\ Period\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{1}{2}}\implies 4\pi [/tex]

which is pretty much the same sin(θ) function, but squished by 1/2 and elongated up to 4π, check the picture below.

The ratio is boys to girls is 3:5. If there are 24 boys how many girls are in the class

Answers

If the ratio is 3:5, then for every 3 boys there are 5 girls, so you multiply 3 and 5 by 24 and you get your answer.

To add on to what the previous person said, you find what 24 divided by 3 is. The answer is 8 and so 5 times 8 is 40. 24: 40.

40 girls are in the class.

I'll give BRAINIEST

.............

Answers

its 0.25. ez. i hope i helped :)

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