The sum of two numbers must be 24 or greater. The product of the two numbers must be less than 60. Which system of inequalities represents this situation?

A
{x+y≥24xy<60

B
{x+y>24xy<60

C
{x+y≥24xy<60

D
{x+y>24xy<60

Answer:

n = 9

Step-by-step explanation:

20.75 = 1.75n + 5

20.75 - 5 = 1.75n

15.75 = 1.75n

-------     -------

1.75       1.75

  9    =     n

The mark price of the pen is 120 rs

The first step is to write out the parameters given the question

Discount= 15%

Gain= rs 10

Discount= 15%

loss= rs

When a pen is sold at a discount of 15% there is a gain of rs 10

When the pen is sold at 25% discount there is a loss of rs 2

The mark price of the pen can be calculated as follows

15% = c.p + 10 rs

25 % = c.p - 2 rs

25%-15% = 10 rs +2 rs

10% = 12 rs

10/100 = 12 rs

0.1= 12 rs

12/0.1

= 120 rs

Hence the mark price of the pen is 120 rs

Please see the link below for more information

https://brainly.com/question/17109020?referrer=searchResults

Mark Price: RS. 120

The Gain Function is the difference between Resulting Price, which is the Mark Price including Discount Rate, and the Reference Price, where positive result represents Net Gain, as negative result represents Net Loss. Gain Function is described below:

[tex]G = \left(1-\frac{r_{D}}{100} \right)\cdot P_{M}-P_{R}[/tex] (1)

Where:

[tex]G[/tex] - Gain function, in monetary units.

[tex]r_{D}[/tex] - Discount rate, in percentage.

[tex]P_{M}[/tex] - Mark price, in monetary units.

[tex]P_{R}[/tex] - Reference price, in monetary units.

The Mark Price of the pen is the price shown on the label of the product, whereas the Reference Price is the purchase cost of the product from provider.

Based on what it is written on statement we have the following system of linear equations:

1) When a pen is sold at a discount of 15 %. There is a gain of RS. 10: ([tex]G = 10[/tex], [tex]r_{D} = 15[/tex])

[tex]\left(1-\frac{15}{100} \right)\cdot P_{M} - P_{R} = 10[/tex] (2)

2) But if it is sold at 25 % discount there is a loss of RS. 2: ([tex]G = -2[/tex], [tex]r_{D} = 25[/tex])

[tex]\left(1-\frac{25}{100} \right)\cdot P_{M} - P_{R} = -2[/tex] (3)

The solution of the resulting system of linear equations is:

[tex]P_{M} = 120[/tex], [tex]P_{R} = 92[/tex]

The mark price of the pen is RP. 120.

Answer:

170.54m²

Step-by-step explanation:

there are three shapes

triangle: is 1/2*3*5=7.5

square is 6*5=30

circle=3.14*6²=133.04

7.5+30+133.04=170.54

answer is 170.54

Answer:

b

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because the new number is changing to a new and all old is ready.

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

Answer:

126,000

Step-by-step explanation:

150,000 * .15 = 22,500

150,000 - 22,500= 127,000

127,000 - 1500 = 126,000

Answer:

Population - - > Sampling Frame - - > Sample - - > Individual being surveyed

Step-by-step explanation:

Population is the largest as they include all units or subject of interest in a particular study or experiment. Next is the sampling frame which is the a list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.

The sample is a subset of the population of population, usually selected at random and it is representative of the population.

The individual surveyed represents a single subject or observation from the chosen sample.

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

Answer: 29152332 ≡ 0 (mod 3)

Step-by-step explanation:

In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.

To solve this problem, we want to divide 29152332 by 3 and find the remainder.

29152332 ÷ 3 = 9717444

Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).

Answer:

x=-2

sorry i messed up coord val :/

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

a parabola  is symmetric (has a mirror image)

a parabola has ONE vertex (a highest or lowest point).

thus a line that goes through the vertex is it's axis of symmetry.

x = 5 , x=99, x=102 are vertical lines that intersect the x axis no matter what the y value is....

your axis of symmetry is a line that looks like  X= SOMETHING

the "something" is the X value of the vertex, which is (-2,3)

this the equation x = -2 is the answer ... see the image

Answer:

900pi

Step-by-step explanation:

formula for sphere's surface area :

4πr^2

radius = 15 (30/2)

4*pi*15^2 = 900pi

Answer:

The surface area is 2827.43

Step-by-step explanation:

This is the formula:

A= 4 π r^2= 4· π· 15^2 = 2827.43339

Hope this helps you!

Answer:

sin C = 12/13

Step-by-step explanation:

Since this is a right triangle

Sin C = opp side / hypotenuse

sin C = 36/39

sin C = 12/13

t=46°

u=134°

v=23°

w=23°

Answer:

Solution given;

v=w [base angle of triangle]

<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]

81+v+53+w=180°

134°+v+v=180°

2v=180°-134°

v=46/2

v=23°

w=v=23°

In triangle ∆ PQR

v+w+u=180°[sum of interior angle of a triangle]

23+23+u=180°

u=180°-46°

u=134°

again

In triangle ∆ PSR

t+81+53=180°

t=180°-134°

t=46°

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

v and w are equal as opposite angles to equal sides.

Answer:

0.9

Step-by-step explanation:

In order to get halfway between -0.5 and 2.3, first, we need to take their sum:

Sum of digits

Sum =  [tex]{-0.5+2.3}[/tex]

Sum =  [tex]1.8[/tex]

Take the average of the sum

Average = [tex]\frac{1.8}{2} = 0.9[/tex]

Hence the halfway between the numbers is 0.9

Answer:

720

Step-by-step explanation:

Using the equation given

[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when [tex]t > 0[/tex]

Profit after t months:

[tex]P(t) = t^4 - 10t^3 + 28t^2 - 24t[/tex]

0 months:

This is P(0). So

[tex]P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0[/tex]

1 month:

This is P(1). So

[tex]P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5[/tex]

2 months:

This is P(2). So

[tex]P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0[/tex]

3 months:

This is P(3). So

[tex]P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9[/tex]

4 months:

This is P(4). So

[tex]P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32[/tex]

5 months:

This is P(5). So

[tex]P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45[/tex]

6 months:

This is P(6). So

[tex]P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0[/tex]

7 months:

This is `P(7). So

[tex]P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175[/tex]

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check https://brainly.com/question/24231879

Answer:

The events are independent and are not mutually exclusive.

Step-by-step explanation:

Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.

And two events are mutually exclusive if these can't occur at the same time.

Here the events are:

a = rolling a 4 on the first die

b = rolling a 3 on the second die.

Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.

And because each outcome is on a different die, we can conclude that these events are independent.

(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).

Now, the events are mutually exclusive?

No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.

Answer:

YES.

Step-by-step explanation:

The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.

Just took quick check

Answer:

The 3 cyclists will meet at the starting point again after 150 minutes.

Step-by-step explanation:

Since they start at the same point but then take different times to each route, then to find the first time they will each meet at the starting point, we have to find the lowest common multiple (LCM).

Let's use prime factorization to get it.

Prime factorization of 10 = 2 × 5

Prime factorization of 15 = 3 × 5

Prime factorization of 25 = 5 × 5

Thus,super set = 2, 3, 5, 5

Thus,LCM = 2 × 3 × 5 × 5 = 150

Thus,the 3 cyclists will meet at the starting point again after 150 minutes.

Answer:

3/4 more hours

Step-by-step explanation:

Hours taken to clean bedroom = 5/4

Hours taken to clean den = 1/2

How much more = 5/4 - 1/2

5-2/4 (common denominator)

3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)

Answer from Gauthmath

Answer:

x = 50

Step-by-step explanation:

I guess, this diagram tells us that the lines are parallel.

that means that they cut the third line at the exact same angles.

and that means

3x - 26 = 2x + 24

x - 26 = 24

x = 50

3x-26=2x+24

3x-2x=24+26

x=50

please mark this answer as brainlist

Answer:

Step-by-step explanation:

I am going to assume that you are doing this on your calculator using the stat button as opposed to having to find it by hand which is so extremely long and drawn out, you'd be dead by the time we found the equation...

The equation of the line of best fit is

y = 1.383x - 1.526

I would explain to you how to do that, but it's a very involved process on your calculator. Find out how to do it and it's the easiest thing in the world!!!

The required equation of the line is y = 0.667x + 2.334

From the table given equation of the line is determined.
x = 4  7  10  12  13
y = 5  7  12  14  18

A line is a curve showing the shortest distance between 2 points.

Standard equation of line, y =mx + c
The slope of equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and c is y intercept.
                                m  = 7-5/7-4
                                m = 2/3
Now put m in the standard equation
y = 2x/3 + c  - - - - -(1)
to find the value of c we will put a point  (7, 7) in the equation.

7 = 7*2/3 + c
c = 7 - 14/3
c = (21-14)/3
c = 7/3
Put c in equation 1
y = 2x/3 + 7/3
y = 0.667 x +2.334

Thus, The required equation of the line is y = 0.667 x +2.334

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

Answer:

16 × X + 3=

Step-by-step explanation:

u will get your answer

Answer:

D

Step-by-step explanation:

25×5=125

I hope it helps

Answer:

B

Step-by-step explanation:

- Divide the base by 2

10 / 2 = 5 in

- multiply by √3

5√3 in

Answer:

D

Step-by-step explanation:

As the counter clockwise rule is A(x,y) becomes A'(-y,x).

So (1, -6) becomes (6, 1)

Hope it helps you

Step-by-step explanation:

b varies as √c

b=kc

divide both side by c

k=b/c

k=100/4

k=25

the equation is:

25=b/c

Answer:

i dont know man

Step-by-step explanation:

i dont know