A watch, after allowing a discount of 15% on its marked price, was sold at a gain of 20%. Had it been sold after allowing 25% discount there would have been gain of Rs. 120. Find the cost price of the watch.​

Answer:

0.53

Step-by-step explanation:

You just have to know the placements.

Using the vertex of the quadratic function, it is found that his maximum profit is of $75 when he charges $15 for a key-chain.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the function is:

[tex]f(x) = (x - 10)(60 - 3x)[/tex]

In standard format, it is given by:

[tex]f(x) = -3x^2 + 90x - 600[/tex]

Which means that it's coefficients are a = -3, b = 90, c = -600.

Hence:

[tex]x_v = -\frac{90}{2(-3)} = 15[/tex]

[tex]y_v = -\frac{90^2 - 4(-3)(-600)}{4(-3)} = 75[/tex]

Hence, his maximum profit is of $75 when he charges $15 for a key-chain.

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

We know:

[tex] \\ [/tex]

[tex] \bigstar \boxed{ \rm Area \: of \: circle \: = \pi {r}^{2} }[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \dashrightarrow\sf A= \pi {r}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A=\pi \times {8}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A= \pi \times 8 \times 8[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A= \pi \times 64[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A= 64\pi \: ft {}^{2} [/tex]

[tex] \\ \\ [/tex]

Therefore option A is correct

[tex]\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}[/tex]

Answer:

His total run is approximately 3.37 miles.

Step-by-step explanation:

Let F represents his starting point, C represents his position from where he went to east direction and H represents his position from where he went to left towards Florida Avenue.

Thus, according to the question,

FC = 0.75 miles,

CH = 1.2 miles,

By making the diagram,

∠FCH = 90°,

By Pythagoras theorem:

Hence, the total distance he covered = FC + CH + FH

= 0.75 + 1.2 + √2.0025

= 3.36509716981

≈ 3.37 miles.

Answer:

O A. -1/2

Step-by-step explanation:

I hope it's help..

Answer:

D

Step-by-step explanation:

Professional Degree

A person with a Bachelor's Degree is expected to earn an average of $52,200 each year. Thus, option c is correct.

The average is defined as the sum of all observation to the total number of observation.

Given that:

Professional Degree: $109,600

Doctoral Degree: $89,400

Master's Degree: $62,300

Bachelor's Degree: $52,200

Associate's Degree: $38,200

Some College: $36,800

High School Diploma: $30,400

Some High School: $23,400

The best answer from the choices is Bachelor's Degree. Thus, option c is correct.

Learn more about average here:

https://brainly.com/question/8501033

#SPJ7

Answer:

-2/3

Step-by-step explanation:

Y2-Y1= -2

X2-x1 =3

Y/x= slope

Answer:

44.11940299 this is the answer

Pages 5 and 40 are missing and comic had originally 40 pages.

Let suppose first that there are no more sheets beyond the sheet containing page 39. A sheet contains two pages, one in front and odd numbered and one behind and even numbered.

If two pages are missing, then another two are missing. According all assumptions, we conclude that pages 5 and 40 are missing and that comic had originally 40 pages. [tex]\blacksquare[/tex]

To learn more on comics, we kindly invite to check this verified question: https://brainly.com/question/1418309

The volume of the oil is 18.0864 that is filled at a rate of $22 then the cost to fill the drum of oil is $397.9.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Given

A drum of oil has a height of 4 feet and a radius of 1.2 feet.

The oil costs $22 per cubic foot.

We know the volume of the cylinder

[tex]\rm Volume = \pi r^2h\\\\Volume = \pi *1.2^2 * 4\\\\Volume = 3.14 *1.44*4\\\\Volume = 18.0864[/tex]

The cost to fill the drum of oil will be

cost to fill the drum of oil = 22 x 18.0864

cost to fill the drum of oil = 397.9

Thus, The cost to fill the drum of oil is $397.9.

More about the geometry and cylinder link is given below.

https://brainly.com/question/88625

Answer:

[tex]286654464[/tex]

Step-by-step explanation:

first, write the equation:

[tex](2^{9}*3^{5} )*(2^{4} *3)^{2}[/tex]

solve in the parentheses from left to right:

[tex](2^{9} *3^{5} )[/tex]

solve for [tex]2^{9}[/tex]:

[tex]2*2*2*2*2*2*2*2*2=512[/tex]

then solve for [tex]3^{5}[/tex]:

[tex]3*3*3*3*3=243[/tex]

So the equation will be as:

[tex](512*243)*(2^{4} *3)^{2}[/tex]

simplify:

[tex]124416*(2^{4} *3)^{2}[/tex]

solve for [tex](2^{4} *3)^{2}[/tex]:

[tex]2*2*2*2=16\\(16*3)=48[/tex]

complete equation:

[tex]124416*(48)^{2}[/tex]

the answer will be:

[tex]124416*(48)^{2} =\\124416*48*48=\\286654464[/tex]

Answer:

Yes?

Step-by-step explanation:

It does depend, though 4.8/0.9 is 5.3 repeating, and you can't write that out so yes 5 is best, though it depends.

Answer:

bike: 4,800cm

go-cart: 3000cm

skateboard: 2743.2cm

scooter: 2590.8cm

Step-by-step explanation:

1) keep in mind: 100in=254cm 12 in=1ft

skateboard: 90ft=1080in=2743.2cm

scooter: 1020in=2590.8cm

bike: 4,800cm

go-cart: .03km=30m=3000cm

Fastest to slowest: bike, go-cart, skateboard, scooter

Answer:

2.333333..... (2.3 repeating)

Answer:

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

which is the same as

(f ° g)(x) = (g ° f)(x) = x

Step-by-step explanation:

If the functions are inverses of each other, they will yield just x when they are composed together. Being inverses is like one function "UNDOES" the other (this is not a technical term).

Answer:

it's D!!!!!!!

Step-by-step explanation:

Answer:

a=?,b=?,c=1

1=ab

1xab

=ab

1=a,1=b

=a=1,b=1

Answer:

  see attachments

Step-by-step explanation:

The solutions to the two systems of inequalities are probably best represented on a graph. In each case, the boundary line of the solution area will be dashed, indicating the values on the line are not part of the solution. The doubly-shaded area is the solution space.

see the first attachment

x=-3 is a vertical line; 6x +4y < -8 has x-intercept -4/3 and y-intercept -2. The slope of the line is -3/2.

__

see the second attachment

y = 3 is a horizontal line; 2x -3y < -3 has x-intercept -3/2 and y-intercept 1. The slope of the line is 2/3.

Answer:

"y" would be 120 degrees.  The image is a parallelogram.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Because if 8i is a zero then -8i is also a zero. That means you now have four zeros, so the function is at least a fourth degree (quartic) function.

It is not possible to write a polynomial of degree 3 with zeros 5, 3 and 8i.

A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.

The degree of a polynomial is equal to the real zeros of the polynomial. Real zeros of the polynomial are 5 and 3 only. 8i is a complex number. Thus degree of the polynomial is 2.

Learn more about degree of polynomial here

https://brainly.com/question/2284746

#SPJ3

Answer:

60

Step-by-step explanation:

They're made up of two 30 degree angles so it's 60 because 30 + 30 = 60.

Answer:

Look at explanation.

Step-by-step explanation:

10*10 = 100

25 = 100/4

7*3+3=25-1

21+3=25-1

24=24

6*3=16/2

18 is not equal to 8

27 - 20 = 9-2

7 = 7.

Answer:

(a) False

(b) True

(c) True

(d) Tue

(e) False

(f) True

Step-by-step explanation:

[tex]\large \boldsymbol{\sf (a)\ 15 + 5 = 30}[/tex]

[tex]\large \boxed{\begin{minipage}{2.2 cm}\begin{aligned}\sf 15 + 5 & = \sf 30\\\sf 20 & = \sf 30\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]

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

[tex]\large \boldsymbol{\sf (b)\ 5 (7) - 3 = 32}[/tex]

[tex]\large \boxed{\begin{minipage}{2.48 cm}\begin{aligned}\sf 5 (7) - 3 & = \sf 32\\\sf 35 - 3 & = \sf 32\\\sf 32 & = \sf 32\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]

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

[tex]\large \boldsymbol{\sf (c)\ 25 = \dfrac{10^2}{4}}[/tex]

[tex]\large \boxed{\begin{minipage}{1.8 cm}\begin{aligned}\sf 25 & = \sf \dfrac{10^2}{4}\\\sf 25 & = \sf \dfrac{100}{4}\\\sf 25 & = \sf 25\end{aligned} \\\\\implies \textsf{True}\end{minipage}}[/tex]

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

[tex]\large \boldsymbol{\sf (d)\ 7 (3) + 3 = 5^{2} - 1}[/tex]

[tex]\large \boxed{\begin{minipage}{3.2 cm}\begin{aligned}\sf 7 (3) + 3 & = \sf 5^2 - 1\\\sf 21 + 3 & = \sf 25 - 1\\\sf 24 & = \sf 24\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]

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

[tex]\large \boldsymbol{\sf (e)\ 6 (11 - 8) = \dfrac{16}{2}}[/tex]

[tex]\large \boxed{\begin{minipage}{2.8 cm}\begin{aligned}\sf 6 (11 - 8) & = \sf \dfrac{16}{2}\\\sf 6 (3) & = \sf 8\\\sf 18 & = \sf 8\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]

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

[tex]\large \boldsymbol{\sf (f)\ 3^{3} - 4(5) = |-9| - 2}[/tex]

[tex]\large \boxed{\begin{minipage}{3.88 cm}\begin{aligned}\sf 3^3 - 4 (5) & = \sf |-9| - 2\\\sf 27 - 20 & = \sf 9 - 2\\\sf 7 & = \sf 7\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]

Answer:

4 more students

Step-by-step explanation:

50 percent of 20 is 10 and 30 percent of 20 is 6 so 10-6=4

Answer:

Step-by-step explanation:

C grade is 50% and B grade is 30%.

The difference is:

If the number of students is 20, then the difference is:

Answer:

45% of students prefer vanilla ice cream.

Step-by-step explanation:

549 + 671 = 1220 total students

549 / 1220 = 0.45 or 45%

Answer:

81.82 or 122.22 one of them sorry I'm not very specific :0

Step-by-step explanation:

Answer:

D. 25%

Step-by-step explanation:

5/20
10/40

15/60

Are all equal to 1/4 or 0.25

To write it as percentage, we times by 100

0.25×100=25%

1)

[tex]\displaystyle\\\frac{1}{3} ;\frac{1\times2}{3\times2} =\frac{2}{6} ;\frac{4}{12} \\\\\frac{2\div2}{4\div2} =\frac{1}{2} ;\frac{2}{4} ;\frac{2\times2}{4\times2} =\frac{4}{8}[/tex]

2)

[tex]\displaystyle\\\frac{1}{12} ;\frac{1\times2}{12\times2} =\frac{2}{24} ;\frac{3}{36} \\\\\frac{2\div2}{12\div2} =\frac{1}{6} ;\frac{2}{12};\frac{1\times3}{6\times3} =\frac{3}{18} \\\\\frac{1}{4} ;\frac{1\times2}{4\times2}=\frac{2}{8} ;\frac{3}{12}[/tex]

Answer:

option c

Step-by-step explanation:

120 sampling would be enough

Please mark as Brainliest!!

Answer:

86 adults and 270 children

Step-by-step explanation:

Let x = # of adult tickets;

then the number of children tickets is (356-x).

Write the total money equation (revenue equation)

   [tex]1.75*(356-x) + 2.25x = 666[/tex]  dollars.

From the equation

  [tex]x = \frac{666-1.75*356}{2.25-1.75} = 86[/tex]

ANSWER.  86 adults and 356-86 = 270 children.

CHECK.

[tex]86*2.25 + 270*1.75 = 666[/tex]  dollars.   ! Correct !

Answer:

b*52

Step-by-step explanation:

Answer:

this road is not used by people very often

Answer:

A is your answer because you would need divide 117 by 6 then add 6.95 to each appetizer to get 26.45.