A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of seats in each row

Answers

Answer 1
Number of seats = 42

Seats per row x row = 1302
s x r = 1302

rows + 11 = seats per row
r + 11 = s

s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31

Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42

Check: 31 x 42 = 1302 :)

Related Questions

Please help!!! will give brainliest!

Answers

Answer:

C

Step-by-step explanation:

circumfrence = 2 pi r

= 20* 3.14= 2*31.4= 62.8

or c

if my answer helped please mark as brainliest.

Answer:

62.8

Step-by-step explanation:

If your not aloud to don't but if you look it up there's a really good  calculator.

POINTS PLZ HELP!!!!!
Drag the terms to the correct locations in the expression. Not all terms will be used.
What is the complete factorization of 2x2 − 11x − 21?

x
2x
3x
1
3
7
they can be used more than once.
place them here
(__+__)(__-__)

Answers

Answer:

(2x+3)(x-7)

Step-by-step explanation:

2x^2+3x-14x-21

2x(x-7)+3(x-7)

The factors of the expression are (2x+3)(x-7).

What is factorization?

Factorization is the breaking or decomposition of an entity (a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

For the given situation,

The expression is [tex]2x^{2} -11x-21[/tex]

The complete factorization of the expression is as,

⇒ [tex]2x^{2} -11x-21=0[/tex]

⇒ [tex]2x^{2} -14x+3x-21=0[/tex]

⇒ [tex]2x(x-7)+3(x-7)=0[/tex]

⇒ [tex](2x+3)(x-7)=0[/tex]

The value of x can be found as

⇒ [tex]2x+3 = 0[/tex] or [tex]x-7 = 0[/tex]

⇒ [tex]x=\frac{-3}{2}[/tex] or [tex]x=7[/tex]

Then -3/2 and 7 are the zeroes of the expression.

Hence we can conclude that the complete factorization of the expression are (2x+3)(x-7).

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Fill in the missing statements and reasons in the proof:

Answers

Answer:

2. definition of congruence

Step-by-step explanation:

sorry I just know that one

Rewrite the following polynomial in standard form

Answers

Answer:

[tex]-x^4-\frac{1}{10} x^2+1[/tex]

A rhombus and a triangle are equal in areas. if the base and height of the triangle are 24.8 cm and 5.5 cm respectively and the length of one diagonal of the rhombus is 22 cm, find the length of other diagonal of the rhombus.​

Answers

Given :-

Area of Rhombus = Area of Triangle

Base and Height of Triangle is 24.8 cm and 5.5 cm respectively .

Length of one diagonal of the rhombus is 22 cm .

To Find :-

Length of other Diagonal

Solution :-

As we know that

Area of triangle = ½ × Base × Height

Area = ½ × 24.8 × 5.5Area = 1 × 12.4 × 5.5Area = 12.4 × 5.5Area = 68.2 cm²Now,

Area of rhombus = ½ × D1 × D2

68.2 = ½ × 22 × D268.2 × 2 = 22 × D2136.4 = 22 × D2136.4/22 = D26.2 = D2D2=6.2

Hence :-

Other Diagonal is 6.2 cm.

[tex]\begin{gathered} \\ \end{gathered}[/tex]

Rewrite the following polynomial in standard form

Answers

Answer:

-7x³ - ⅑x - 1

Step-by-step explanation:

A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.

Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.

Thus, we would have:

✅-7x³ - ⅑x - 1

A recent survey of students at John Tukey High School revealed that
18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?

Answers

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that [tex]p = 0.18[/tex]

You randomly select 15 students

This means that [tex]n = 15[/tex]

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]

[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]

[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

What’s 9+10 I need help

Answers

According to my calculations it is 21

Answer:

9+10=19 but if you are talking about the meme 21

Step-by-step explanation:

A chef is preparing food for a group of 21 people. He uses a recipe that calls for 4 tomatoes
to serve six people. Since the number of tomatoes is directly proportional to the number of
people being served, how many tomatoes would he need to serve this group?
A 4
B5
C 12
D 14

Answers

Answer:

D: 14

Step-by-step explanation:

since the proportion is already 4:6, so you want to divided it by 2, so it will become 2:3, then multiply it by 7, so thats how i got 14 tomatoes for 21 people

WILL MARK BRAINLIEST!!!


Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve

Answers

142 in base 5 means 1(52) + 4(51) + 2(50) = 25 + 20 + 2 = 47

11011 in base 2 means 1(24) + 1(23) + 0(22) + 1(21) + 1(20) = 27

39T in base 12 means 3(122) + 9(121) + 10(120) = 550

Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times

Answers

Answer:

250+25t=m

Step-by-step explanation:

t is the number of times she babysits and m is the amount of money overall.

What is the mode of 3, 3, 4, 5, 10?

Answers

Answer:

3

Step-by-step explanation:

The mode is the number that occurs most frequently in a set of numbers

Also:

I saw that this is your first question. Welcome to the Brainly community.

The mode of the data set 3, 3, 4, 5, 10 is 3

What is mode?"It the value that appears most frequently in a data set.""A data set may have one mode, more than one mode, or no mode at all."

For given question,

We have been given a set of data.

3, 3, 4, 5, 10

The frequency of each value in the data set is:

Value        Frequency

  3                   2

  4                   1

  5                   1

  10                  1

We can observe that, 3 appears most frequently in a data set.

Therefore, the mode of the data set 3, 3, 4, 5, 10 is 3

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Jacob and Adam are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Jacob sold 1 cherry pie and 1 blackberry pie for a total of $35. Adam sold 12 cherry pies and 9 blackberry pies for a total of $360. Find the cost each of one cherry pie and one blackberry pie. Write as an ordered pair. Ex: (cherry pie, blackberry pie)

Answers

Answer:

Step-by-step explanation:

c and b are the number of cherry and blackberry sold.

1c + 1b = 35

b = 35-c

12c +  9b = 360

12c + 9(35-c) = 360

3c = 45

c = 15

b = 35-c = 20

$15 for one cherry pie, $20 for one blackberry pie.

Which expression shows -5 3/5+9 1/5 as the sum of integer and fractional parts?

Answers

Answer:

-5 + 9 + (-3/5) + 1/5

Step-by-step explanation:

A bag contains red marbles, white marbles, and blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. Enter your answers as fractions or decimals rounded to three decimal places.
(a)The probability that the first marble is red and the second is blue.
P(first white and second blue) =
The probability that both are the same color.
P(same color) =

Answers

Answer:

[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]

[tex]P(Same) = \frac{67}{210}[/tex]

Step-by-step explanation:

Given (Omitted from the question)

[tex]Red = 7[/tex]

[tex]White = 9[/tex]

[tex]Blue = 5[/tex]

Solving (a): [tex]P(First\ White\ and\ Second\ Blue)[/tex]

This is calculated using:

[tex]P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}[/tex]

We used Total - 1 because it is a probability without replacement

So, we have:

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{45}{420}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]

Solving (b) [tex]P(Same)[/tex]

This is calculated as:

[tex]P(Same) = P(First\ Blue\ and Second\ Blue)\[/tex][tex]or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)[/tex]

[tex]P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})[/tex]

[tex]P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})[/tex]

[tex]P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}[/tex]

[tex]P(Same) = \frac{20+42+72}{420}[/tex]

[tex]P(Same) = \frac{134}{420}[/tex]

[tex]P(Same) = \frac{67}{210}[/tex]

Express 3 kilograms as a fraction of 1800 grams

Answers

Answer:

3000/1800 = 5/3

Step-by-step explanation:

3 kilograms is 3000 grams = 3000/1800 simplified to the smallest is 5/3

sorry if this isn't what you're looking for

(4-√2)(4+ √2) how do i solve it¿

Answers

Answer:

Step-by-step explanation:

[tex]4(4)+4\sqrt{2}-4\sqrt{2}-\sqrt{2}\sqrt{2}=16-2=14[/tex]

, 4), perp. to y=-2x - 4​

Answers

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.


A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.

Answers

l = 6
24/6 = 4
w = 4
2(4+6) = 20
the perimeter is 20 feet

solving for a what's the answer D=Ga+3h^3a

Answers

Answer:

x+1>9 hahaahah........

Write the equation of the line in slope intercept form that: has a slope of m=1/2 and goes through the point (2, -3) please help.

Answers

Answer:

[tex]y =\frac{1}{2}x -4[/tex]

Step-by-step explanation:

m = (1/2)  ; (2 , -3)

y -y1 = m(x - x1)

[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]

What is 3/5 × 6/5? Move numbers to the boxes to show the answer. If there is no whole number, put in the first box

Answers

Answer:

18/25

Step-by-step explanation:

Decrease £2155.45 by 18.5% then rounded to 2dp

Answers

Answer:

18.5%/10×100

185

2155-185

1970

now pls round off cause I don't understand 2dp

Please help I have been stuck this for a while

Answers

Answer:

Option (D)

Step-by-step explanation:

Given expression is,

x³ × 3 ÷ [tex]\frac{2}{9}[/tex] + 9x - (7 - 6x)

By substituting x = [tex]\frac{2}{3}[/tex],

[tex](\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-6(\frac{2}{3})][/tex]

By using rule PEMDAS,

P - Parenthesis

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

[tex]=(\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-4][/tex]

= [tex](\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-3[/tex]

= [tex]\frac{8}{27}\times 3 \div \frac{2}{9}+6-3[/tex]

= [tex]\frac{8}{9}\div \frac{2}{9}+6-3[/tex]

= [tex]\frac{8}{9}\times \frac{9}{2}+6-3[/tex]

= 4 + 6 - 3

= 7

Option (D) is the answer.

In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter

Answers

9514 1404 393

Answer:

  51.3°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.

Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:

  Tan = Opposite/Adjacent

  tan(y) = (10 cm)/(8 cm) = 1.25

Then the angle is found from the inverse tangent function:

  y = arctan(1.25)

  y ≈ 51.3°

In HIJ h=38 inches, I=45 inches and j=61 inches. Find the measure of H to the nearest degree

Answers

Answer: 38

step by step

deltamath

Answer:

38

Step-by-step explanation:

Nathan is going to invest in an account paying an interest rate of 6% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,200 in 8 years?

Answers

Answer:

731.48

Step-by-step explanation:

you take 6 percent form 100 percent with give 94 percent

then you times 1200 by 94 percent 8 times to get awnser

Answer:700

Step-by-step explanation:

REASONING Tell whether the rates are equivalent.
75 pounds per 1.5 years
38.4 ounces per 0.75 year

Answers

Answer:

No, either convert pound to ounces or the other way around.

Step-by-step explanation:

Use 1 lb= 16 oz so 75 lb=16 x 75 =1200 oz ---> 1200 ounces per 1.5 years..

---> 1200 oz/1.5 years (1)

The second equation is 38.4 ounces per 0.75 years  , will be the same as 76.8 ounces per 1.5 years.---->76.8 oz / 1.5 years  (2)

So compare (1) and (2) are not equivalent....

The rates are not equivalent to each other..

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Use 1 lb= 16 oz

Thus 75 lb=16 x 75 =1200 oz

Means 1200 ounces per 1.5 years..

Now 1200 oz/1.5 years ----- (1)

The second equation is 38.4 ounces per 0.75 years which will be the same as 76.8 ounces per 1.5 years.

76.8 oz / 1.5 years ----- (2)

So compare (1) and (2) are not equivalent to each other.

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Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?

Answers

Answer:

48 cuts and styles

Step-by-step explanation:

 

Moshde needs to make 48 haircuts and style per month to save $1,200.

Moshde makes $45 per haircut and yet incurs $960 in expenses every month.

She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.

The formula to find out the number of cuts she needs to make is:

= (Monthly expenses + Desired profit) / Profit per cut

= (960 + 1,200) / 45

= 2,160 / 45

= 48 hair cuts and style

In conclusion, Moshde needs to make 48 haircuts per month.

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10 points Mrs. Daniels is going to visit her grandchildren in Mexico over her summer vacation. She will be gone for one month and five days. She leaves on May 29th. When does she return? A. June 29 B. July 4 C. June 4 D. July 29

Answers

Answer:

june 4

Step-by-step explanation:

this is the answer because after may its june and she said she will be gone for 5 days so she comes home on june 4

Answer:

JUNE 4

Step-by-step explanation:

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