Residents were surveyed in order to determine which flowers to plant in the new Public Garden. A total of N people participated in the survey. Exactly 9/14 of those surveyed said that the colour of the flower was important. Exactly 7/12 of those surveyed said that the smell of the flower was important. In total, 753 people said that both the colour and smell were important. How many possible values are there for N? Please explain clearly.

Answers

Answer 1

There are 2 possible values for N.

To find the number of possible values for N, we must first find the common fraction representing people who value both color and smell. To do this, we need to find the LCM (Least Common Multiple) of the denominators 14 and 12. The LCM of 14 and 12 is 84.

Let x be the number of people who value both color and smell. Then, (9/14)N + (7/12)N - x = 753, which simplifies to (27/84)N + (14/84)N - x = 753. Combining the fractions gives (41/84)N - x = 753.

Now, we know that x is an integer, and (41/84)N must be an integer as well. Therefore, N must be a multiple of 84. Since 41 is a prime number, the only multiples of 84 that can satisfy this condition are 84 and 168, making 2 possible values for N.

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Related Questions

Solve for x in the following figure and choose the appropriate result.

Answers

Answer:

2x is equal to 45

e is equal to x and 2

Step-by-step explanation:

x=45 so we have 180-45= 135

give answer please.............................fast​

Answers

Answer:

120

Step-by-step explanation:

Find out the answer for 78^ - 42^.

78^ - 42^ = 4320

36 x = 4320

1 x = 4320 ÷ 36 = 120

Martina bought 4 CDs that were each the same price. Including sales tax, she paid a total of $70.40 . Each CD had a tax of $ 1.10 . What was the price of each CD before tax?

Answers

[tex]1.10 \times 4 = 4.40[/tex]

[tex]70.40 - 4.40 = 66[/tex]

[tex]66 \div 4 = 16.5[/tex]

Each CD was $16.50 before tax

Proof

[tex]total \: cost = 16.5(4) + 1.10(4)[/tex]

[tex]total \: cost = 66 + 4.40[/tex]

[tex]total \: cost = 70.40[/tex]

Someone plz help me I will give brainliest

Answers

Answer:

2. 3/4 x 5/9 = 3x5/4x9 = 15/36 = 5/12

4. 4/7 x 1/2 = 4x1/7x2 = 4/14 = 2/7

6. 4/9 x 2/3 = 4x2/9x3=8/27

Step-by-step explanation:

Hope it helps!

Answer:

Hey again

2.-  *in order* 3, 9, 15/36, 5/12

4.- *rewrite it in the same order it was in* so, 4/7 x 1/2= 5/14 simplified to=haha jk thats as simplified as it gets/ its 5/14

6.- *rewrite it as is* 4/9 x 2/3 =8/27

Step-by-step explanation:

15/36 simplified *wich you are required to have simplified* is 5/12

help will give brainliest

Answers

Answer:

y = 4

Step-by-step explanation:

KM / 10 = KO / 16

(4y - 1) / 10 = 6y / 16

KO = 4y-1 + 2y+1 = 6y

cross-multiply:

60y = 64y - 16

-4y = -16

y = 4

What is the square root of 7.29 ?

Answers

Answer:

2.7

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

What is the coefficient of 8b+3.2

Answers

Answer:

8

it's the prefix to the variable

Step-by-step explanation:

Answer:

Step-by-step explanation:

8

Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.



Which statement proves that WXYZ is a parallelogram?


A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

D. Show that segments WX and XY have slopes that are opposite reciprocals of each other.

Answers

B is the answer show that segments WX AND YZ have equal lengths

The statements are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.

The statements that prove WXYZ as a parallelogram are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

Therefore, the statements are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

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determine if JK and LM parallel, perpendicular, or neither .

Answers

Answer:

3 - Perpendicular.

4 - Parallel.

Step-by-step explanation:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]JK = \frac{1-(-7)}{-4-(-10)} = \frac{8}{6} = \frac{4}{3}[/tex]

[tex]LM = \frac{-2-2}{-6-(-3)} = \frac{-4}{3}[/tex]

Perpendicular, because two lines are considered perpendicular if their slopes are opposite reciprocals.

[tex]JK = \frac{-2-(-2)}{3-11} = \frac{0}{-8} = 0[/tex]

[tex]LM = \frac{-2-(-7)}{1-1} = \frac{5}{0} = 0[/tex]

Line AB is definited by the equation ax+by=c where a=0, b=1, and c=-2 graph line AB

Answers

Answer:

graph shown below

Step-by-step explanation:

ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.

On a graph, this would look like:

Solve for x to the nearest tenth.

please help i’m failing

Answers

Answer:

x≈ 8.3

Step-by-step explanation:

ok first you have to find the hypotenuse of the smaller triangle

a²+b²=c²

2²+4²=c²

4+16=20

√20≈ 4.5

4.5²+7²=c²

20.25+49≈ 69.25

√69.25≈ 8.3

Answer:

x = [tex]\sqrt{69}[/tex]

Step-by-step explanation:

Pythagorean theorem: A^2 + B^2 = C^2

first, find the length of the line cutting through the shape:

let's call this line L.

plug the numbers into the theorem.

4^2 + 2^2 = L^2

16 + 4 = L^2

20 = L^2

next, plug 7 and L into the theorem again to find x

L^2 + 7^2 = x^2

20 + 49 = x^2

69 = x ^2

x = [tex]\sqrt{69}[/tex]

Which statement describes the congruent triangles

Answers

Answer:

it is the first answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

you have to line the angles up so the congruent sides lay on each other.

x^2y+y^2-30x+221=0 find the radius ​

Answers

Answer:

2

Step-by-step explanation

Let's complete the square. We get:

(x^2-30x)+y^2+221=0

(x^2-30x+225)+y^2+221-225=0

(x-15)^2+y^2-4=0

(x-15)^2+y^2=4

By analyzing this, we see that the radius is just :[tex]\sqrt{4}[/tex]=2

HURRYYYY FASTTT

There are 16 fluid Ounces of juice in 2 bottles of your favorite juice. How many fluid Ounces are there in 10 bottles?
80 fluid Ounces
72 fluid Ounces
160 fluid Ounces
96 fluid Ounces

Answers

Answer:

80 fluid ounces

Step-by-step explanation:

16*5=80

Answer:

80 fluid Ounces

Step-by-step explanation:

I majored in Mathematics

Find the slope- intercept from for the line Perpendicular to y-1/5x+5 passing through the point (3,-4)

Answers

It is just -4/4 hope this helps

find the slope of the line y = 4/3x - 2/3

Answers

Answer:

4/3

Step-by-step explanation:

Line equations are of the format:

y = m*x + b

((m is slope; b is y-intercept))

So this line has a slope of 4/3 and a y-intercept of -2/3.

Una pirámide de base cuadrada se corta con un plano paralelo a la base por la mitad de la altura de la pirámide, obteniendo una pirámide más pequeña y un tronco de pirámide. ¿Cuántas veces es más grande el volumen del tronco con respecto al volumen de la pirámide pequeña?

Answers

Answer: what does this say?

Step-by-step explanation:

Lana and Andrew gather data by surveying their classmates. Lana asked them about the longest time they had ever run. Andrew asked them about their favorite color.


How could Lana and Andrew represent their data?


Would they represent them in the same way?


Why or why not?

Answers

Answer:

No because Andrew aske them being different to Lana an far over.

Help me out?!?! tysmmmm

Answers

Answer:

1 is isoscele

2 is scalene

3 is equalateral

4 is scalene

Hello! It would help a lot if I had assistance with this question:

Answers

Answer:

numerator

Step-by-step explanation:

Answer:

Numerator

Step-by-step explanation:

Numerator is at the top while on the bottom is the denominator.

I need help answering this question:
-9 ÷ +3​

Answers

-3 it’s negative 3 because negative and positive is negative

Answer:

-3

Step-by-step explanation:

-9 divided by +3 can be written as -9 divided by 3, because when you have a positive number, you don't have to write a plus sign in front of it. Next, we can just do 9/3 and then add the negative sign to the result to get our answer. 9 divided by 3 is equal to 3, and when you add the negative sign, you get -3.

find the equation of a line passing through the point(-3,0) and (2,-3)​

Answers

Answer (assuming the question allows it to be written in slope-intercept form):

[tex]y = -\frac{3}{5} x-\frac{9}{5}[/tex]

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the given points' x and y values, and simplify:

[tex]m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}[/tex]

Thus, the slope is [tex]-\frac{3}{5}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

[tex]y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}[/tex]

Answer:

y = -3

Step-by-step explanation:

hi anyone tell me the answer

Answers

Answer:

x= 136 degree ( being vertically opposite angle)

Answer:

x = 136

Step-by-step explanation:

x and 136 are vertical angles and congruent, then

x = 136

There are 6 bananas in a bunch and 4 monkeys want to share them
evenly. How many bananas does each monkey get? *

Answers

Answer:

1.5 banana each

Step-by-step explanation:

Jennifer is four less than three times Toby's age. If Jennifer is 23, then how old is Toby? equation: solution:​

Answers

Answer:

T = Toby

T=(23+4)/3

Step-by-step explanation:

If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,

T=(23+4)/3

and 3 times that, so we divide

T=(23+4)/3

Then Toby is 9 years of age, and shouldn’t be driving.

Toby is 9 years old. Here’s how:

Can someone please help me with this ASAP

Answers

Answer:

24.84

Step-by-step explanation:

Hopefully this helps! let me know if it doesn't

Bir sayının 2 bölü 5 'sinin 3 eksiği, bu sayının çeyreğine eşittir.
Buna göre bu sayı kaçtır? ​

Answers

Answer:

si cardo bahyanbayansusb

Consider points a, b, and c in the graph. Determine which of these points is relative minima on the interval x = –1 and x = –2 in the graph.

Options:

1.)B

2.)A and B

3.)C

4.)A

Answers

Answer:

as we can see here point {\color{Red}a} lies on the interval (-2, -1)

so option A is correct

Step-by-step explanation:

The required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.

Given that,
A Curve is shown on the graph,
In the interval of x = -1 and x = -2, relative minima is to be determined.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.


Since,
A minimum of the curve it that point where the slope of the curve is zero and at that point where the slope is zero the neighboring values must be greater to the point on the curve.

So point a is required minima where the slope is zero and also neighboring values are greater than a

Thus, the required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.

Learn more about graphs here:

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I NEED HELP ASAP!!!!!!!!

Answers

Answer: b

Step-by-step explanation:

BCDE is a rhombus. Find the missing measures.

BC = 28 and BD = 32

CD =

FD =

EF =

EC =


Answers

Answer: CD=28

FD= 16

Step-by-step explanation:

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