6. The cost price of a watch is Rs
4000. Find the marked price so
that there would be a profit of 10%
after allowing a discount of 20%.​

Answer:

a = 4

Step-by-step explanation:

[tex]A = \frac{b * c * sen 45}{2} \\\\A = 8 * \sqrt{2} * \frac{\sqrt{2} }{2} * \frac{1}{2} \\\\\\\\A = 4[/tex]

Answer:

4

Step-by-step explanation:

Answer:

up/down

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 3:2

Step-by-step explanation:

Answer:

3/2 = 3:2

Step-by-step explanation:

15:10 = 15 /10 = 3/2. { dividing both numerator and denominator by 5}

Answer:

zero goats and 120 Ilamas to get profit of $15,120

Step-by-step explanation:

Goats: G

Ilamas: l

Explicit constraints:

2G + 5l ≤ 400

100G+ 80l≤ 13,200

Implicit constraints

G≥0

I≥0

P= 84G+ 126l

See attachment for optimal area

substituting coordinats of optimal region in profit equation to get profit

When G= 132, l=0

P=84(132) + 126(0)

P=11,088

When G=0, l=120

P=84(0)+ 126(120)

P = 15120

When G= 100, l=40

P=84(100)+126(40)

P=13440

Answer:

[tex]2.83,2.8,2.59,2.48[/tex]

Step-by-step explanation:

Given:

Numbers are [tex]\frac{28}{10}\,m,\,2.48\,m,\,\frac{259}{100}\,m,\,2.83 \,m[/tex]

To express: each length as a decimal number in order from greatest to least

Solution:

A number which consists of a whole number part and the fractional part separated by a decimal point is known as a decimal number.

[tex]\frac{28}{10}=2.8\\ 2.48=2.48\\\frac{259}{100}=2.59\\ 2.83=2.83[/tex]

Numbers arranged in order from greatest to least: [tex]2.83,2.8,2.59,2.48[/tex]

Answer:

4 oz

Step-by-step explanation:

one cup is 8 oz

1/2 cup is 8/2 oz which is 4 oz

Answer:

4 fluid ounces

Step-by-step explanation:

One cup is 8 oz so we would have to divide 8 by 2 to get 4 because one half of 8 is 4.

Answer:

B.

Step-by-step explanation:

Volume of fudge cubes = 1 ×1×1

= 1 inch³

The cylinder contains 12.6 fudge cubes

So,

Volume of cylinder = 12.6 inches³

Height of cylinder = 1 inch

Base area of cylinder = Volume / Height

= 12.6 / 1

= 12.6 inches²

Answer: Total time taken by them would be 60 minutes = 1 hour before the tank overflows.

Step-by-step explanation:

Since we have given that

Time taken by an inlet pipe =10 minutes

Time taken by a drain = 12 minutes

So, if both are open together,

Total work done by them would be

[tex]\dfrac{1}{10}-\dfrac{1}{12}\\\\=\dfrac{6-5}{60}\\\\=\dfrac{1}{60}[/tex]

So, total time taken by them would be 60 minutes = 1 hour before the tank overflows.

Answer:

555

Step-by-step explanation:

(357+452+589+602+775)/5

Step-by-step explanation:

I HAVE DONE AT HERE YOU HAVE ASK WHE\E *O PUT 120°

Answer:

Step-by-step explanation:

The record of the statistics and the summary statistics which are the missing files in the question are attached below.

From the given information:

The null hypothesis and the alternative hypothesis can be represented by :

[tex]\mathbf{H_o:}[/tex] There is no difference between the average time  spend by men and women at gym each week

[tex]\mathbf{H_i:}[/tex] The average time  spend by men is greater than the average time spend by women at the gym each week

From the summary statistics in the attached file below:

The p-value = 0.3253

Level of significance = 5% = 0.05

Therefore; it is obvious that the p-value is greater than the level of significance  i.e (0.3253 > 0.05)

Hence; there is no enough evidence to reject the null hypothesis

CONCLUSION: We conclude that the mean number of minutes exercised per week is larger for men than women at the  this gym.

Answer:

A

Step-by-step explanation:

I'm not sure if it's right though

Answer:

(2.4, -1)

Step-by-step explanation:

To find the midpoints of two points in the format (x,y), we find the mean for the values of x and y.

In this question:

(3.2, 2.5) and (1.6, -4.5)

Mean for the values of x:

(3.2 + 1.6)/2 = 2.4

Mean for the values of y:

(2.5 - 4.5)/2 = -1

Midpoint:

(2.4, -1)

Answer:

[tex](C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)[/tex]

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

[tex](A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)[/tex]

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

Answer:

C

Step-by-step explanation:

Answer:

Inequalities are,

y ≥ 4x + 2

y ≥ 2

Step-by-step explanation:

Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).

Let the equation of this line is,

y = mx + b

Slope of the line = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                      m = [tex]\frac{2+2}{1-0}[/tex]

                      m = 4

Y-intercept 'b' = -2

Equation of the line will be,

y = 4x - 2

Since shaded area is on the left side of this solid line so the inequality representing this region will be,

y ≥ 4x - 2

Another line is a solid blue line parallel to the x-axis.

Shaded region (blue) above the line will be represented by,

y ≥ 2

Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.

Answer:

f(-1) = 2

f(0) = 3

Step-by-step explanation:

f(a) = 3a - a²

Answer:

The 3rd and the 4th statement are not the true statements.

Step-by-step explanation:

In the 3rd statement, if you put a=-1 into the equation f(a), it would be

=3x(-1) - (-1)2

=-3 - 1

=-4.

In the 4th statement, if you put a=0 into the equation f(a), it would be

=3x(0) - (0)2

=0 - 0

=0.

For the other statements, they show the correct results.

Answer:

The statements that are true are:

b) n equals 30

c) The number of samples is 8

d) The sample size is 30

f) Each day she collects a total of 240 observations.

Step-by-step explanation:

She takes a sample every hour, so she takes 8 samples during the day.

Each samples consist of 30 individuals (pizzas).

This adds a total of 240 observations during the day.

The statements that are true are:

b) n equals 30

c) The number of samples is 8

d) The sample size is 30

f) Each day she collects a total of 240 observations.

Answer: choice A

Step-by-step explanation:

the transposed matrix would be

5 3

2 -1

so

5*5+2*2=29

3*5+2*-1=13

5*3-2*-1=13

3*3+-1*-1=10

which gives us the answer

29 13

13 10

Answer:

0.234

Step-by-step explanation:

Answer:

0.234

To convert from milliliters to liters, divide by 1,000.

234 ÷ 1,000 = 0.234

Step-by-step explanation:

Complete each statement.

? L = 234 mL

234/1000=0.234

There are 1000 milliliters in a liter, therefore dividing the milliliters by 1000 will give you the amount of liters. Liters = 0.234

RESULT

0.234L

The inverse of the function g(x)=-2x -3.

A function assigns the value of each element of one set to the other specific element of another set.

Given function:

f(x) = -1/2 x - 3/2

Since the function is inverse, so

g(f(x)) = a(-1x/2 - 3/2) + b

x = -ax/2 - 3x/2 + b

-a/2 = 1

a = -2

and, -3a/2 + b = 0

b= -3

Hence, the inverse of the function g(x)=-2x -3.

Learn more about Function here:

brainly.com/question/5245372

#SPJ2

Answer:

C. x = 27

Step-by-step explanation:

To solve we must undo what is being done to the variable. It is being modified in several ways in this equation so we must do the opposites of each step to both sides of the equation.

1. 1/3x + 9 = 7 + 11

2. 1/3x = 18 - 9

3. (1/3x) * 3 = 9 * 3

4. x = 27

Hope this helps! (Please consider giving brainliest)

Answer:

Step-by-step explanation:

5.) here no. of people represent frequencies, so modal group (the group with the highest frequency) is 0.25-0.50.

Estimated Mode = L + (( fm − fm-1) / ( (fm − fm-1) + (fm − fm+1) ) ) × w

where,

L is the lower class boundary of the modal group = 0.25

fm-1 is the frequency of the group before the modal group = 38

fm is the frequency of the modal group = 67

fm+1 is the frequency of the group after the modal group = 50

w is the group width = 0.25

mode= 0.25 + ((67-38)/((67-38)+(67-50)))* 0.25

= 0.25 + (29/ (29+17))*0.25

= 0.25 + 0.63*0.25

= 0.41

6) mean= total(fx) / total(f)

= 166.25/250

= 0.665

7) standard deviation = sqaure root (( total(fx2) - (total(f)* mean2)) / (total(f)-1))

= sqaure root (( 149.906 - 250* 0.6652)/ 249 )

= square root ( (149.906 - 110.556) /249)

= sqaure root (0.158)

= 0.397

8) The median is the middle value, which in our case is the 125 (250/2) , which is in the 0.5 - 0.75 group.

Estimated Median = L + ( ((n/2) − B)/G) × w

where:

L is the lower class boundary of the group containing the median = 0.5

n is the total number of values = 250

B is the cumulative frequency of the groups before the median group = 105

G is the frequency of the median group = 50

w is the group width = 0.25

median = 0.5 + (((250/2)-105)/50)*0.25

= 0.5 + ((125-105)/50)*0.25

= 0.5 + (20/50)*0.25

= 0.6

Answer:

Yes, Dayson can completely cover the package with wrapping paper.

Step-by-step explanation:

Given: The rectangular prism is 50 centimeters by 20 centimeters by 18 centimeters.

Area of wrapping paper is 1 square meter.

To find: whether he can completely cover the package with wrapping paper

Solution:

Total surface area of the rectangular prism = 2(lb + bh +hl)

where l denotes length, b denotes breadth and h denotes height

Total surface area of the rectangular prism = [tex]2\left [ (50)(20)+(20)(18)+(18)(50) \right ][/tex]

[tex]=2\left ( 1000+360+900 \right )\\=2(2260)\\=4520\,\,cm^2[/tex]

As [tex]1\,m^2=10000\,cm^2[/tex],

Total surface area of the rectangular prism = [tex]4520\,cm^2=0.4520\,m^2[/tex]

As Dayson has [tex]1\,m^2> 0.4520\,m^2[/tex] of wrapping paper, he can completely cover the package with wrapping paper.

Answer:

Interest= $10000

Step-by-step explanation:

So we are to calculate the interest at 5% annum of $200000.

Ok , we'll use the formula

PRT/100 = interest

Where P = principal

R = rate

T= time

(200000* 5*1)/100 = interest

1000000/100 = interest

10000 = interest

Interest= $10000

Question:

Consider xdy = 3ydx.

(a) Apply Theorem 1 and show the equation has unique solution in xy-plane where x ≠ 0

(b) Theorem 1 will be inconclusive about existence and uniqueness of solution where x = 0 (that is on y-axis). For points on the y-axis (i) Show there are infinitely many different solutions for xdy = 3ydx y(0) = 0. (ii) Show there is no solution for xdy = 3ydx,

y(0) = b, b ≠0.

Theorem 1 is attached.

Answer:

Given:

xdy = 3ydx

a) Given theorem 1 :

dy/dx = f (x, y)

we have:

[tex] f(x, y) = \frac{3y}{x}[/tex]

[tex] \frac{d}{dy} f(x, y) = \frac{3}{x}[/tex]

[tex] \frac{d}{dy} [/tex] is at interior of all angles except at point x=0.

Therefore for x≠0

[tex] \frac{d}{dy} f(x, y) = \frac{3}{2}[/tex]

Thus, from theorem 1, there is a unique solution in the xy plane where x≠0

b) i) xdy = 3ydx y(0) = 0

We have:

[tex] \frac{dy}{y} = \frac{3}{x} dx [/tex]

Integrating, we have:

∫[tex] \frac{dy}{y}[/tex] =∫[tex] \frac{3}{x} dx [/tex]

ln y = 3lnx + lnC

y = Cx³

Hence, y(0)=0 is satisfied for all values of C

Thus, there are infinitely many solutions for xdy = 3ydx

ii) xdy = 3ydx

y(0) = b, b ≠ 0.

From our part (i) above, we already know that, y = Cx³

Let's now take initial value of y as b,

ie, y(0) = b

b = 0

From the question, b≠0.

Thus, it means it has no solution.

Answer:

(a)h(g(133))

(b)f(j(6.82))

Step-by-step explanation:

(a)Area of a circle whose circumference is 133 cm.

Since g(C) represents the radius (in cm) of a circle whose circumference is C cm.

h(r) represents the area [tex](in$ cm^2)[/tex] of a circle whose radius is r cm.

Therefore, the area of a circle whose circumference is 133 cm is:

h(g(133))

(b)Circumference of a circle whose area is [tex]6.82 cm^2[/tex]

j(A) represents the radius (in cm) of a circle whose area is A [tex]cm^2[/tex].

f(r) represents the circumference (in cm) of a circle whose radius is r cm.

Therefore:

The circumference of a circle whose area is [tex]6.82 cm^2[/tex] =f(j(6.82))

Corrected Question

One cylinder has a volume that is 8cm less than 7/8 of the volume of a second cylinder. If the first cylinder’s volume is 216cm³, what is the correct equation and value of x, the volume of the second cylinder?

Answer:

The equation is: [tex]216=\frac{7}{8}x-8[/tex]

Volume of the second cylinder= [tex]256cm^3[/tex]

Step-by-step explanation:

Volume of the first cylinder=[tex]216cm^3[/tex]

Let the volume of the second cylinder=x

7/8 of the volume of a second cylinder=[tex]\frac{7}{8}x[/tex]

8 less than 7/8 of the volume of a second cylinder=[tex]\frac{7}{8}x-8[/tex]

Therefore, the equation is:

[tex]216=\frac{7}{8}x-8[/tex]

Next, we solve for x

[tex]216=\frac{7}{8}x-8\\216+8=\frac{7}{8}x\\224=\frac{7}{8}x\\$Cross multiply\\7x=224*8\\Divide both sides by 7\\x=256cm^3[/tex]

The volume of the second cylinder is [tex]256cm^3[/tex]

Answer:

The answer is D

Step-by-step explanation:

Answer:

We want to create sentences that are false (this means that the truth value is F

False ---> true: then the statement is false

true-----> false: then the statement is false.

For the first option we have:

"If the GCD of 5 and 12 is 1,____"

the left side is true, so the right side must be false:

"If the GCD of 5 and 12 is 1, then 12 is less than 5"

this means that the truth value is false, because the left side is true and the right side false.

For the second sentence we have:

The sum of 5 and 12 is 7 if and only if _______

The left side is false, so the right side must be true, the only true option is 12 is greater than 5, so the sentence is:

"The sum of 5 and 12 is 7 if and only if 12 is greater than 5."

Answer:

5 × 10⁶

Step-by-step explanation:

To convert a long number to a scientific notation:

Count the number of zeros in the number

Use the count as the power of 10.

5,000,000 has six zeros

So:

× 10⁶

Now 5 will be left to be added to the notation.

5 × 10⁶

Answer:

5 x 10'6

Step-by-step explanation: