In an arena, each row has 199 seats. One day, 1990 students are coming to attend a soccer match. It is only known that at most 39 students are from the same school. If students from the same school must sit in the same row, determine the minimum number of rows that must be reserved for these students.

Answers

Answer 1

Answer: 10 rows

Step-by-step explanation:

Given:

Seats on each row = 199.

Population of student attending = 1990.

no of students from same school = 39.

Therefore;

If the students from same school must seat in same row determine the number of rows that most be reserved for these students.

1. At most 39 students from same school

= total population of all students/ students from same school

= 1990 / 39

= 51 schools would be attending the event

2. No of students a row can accommodate

= Seats on each row / no of students from each school

= 199/39

= 5

3. No of rows to that most be reserved

= 51 / 5

= 10

So 10 rows must be reserved.


Related Questions

Determine if the equation defines y as a function of x: y2 = x2. yes or no

Answers

Answer:

no it's not, since y has two functions , a positive and negative in terms of x.

(Help Please It would be greatly appreciated) Which of these are true statements about the sine function? Choose all that are correct.

Answers

Answer:

A is wrong

B is correct

C is correct

D is wrong

E is wrong

F is correct

Step-by-step explanation:

Here, we want to select the correct options about the sine function.

A. is wrong

Let’s use a case of 30 degrees angle

Sin(-30) = -0.5

Sin(30) = 0.5

B is correct

sin(-30) = -0.5

-sin(30) = -0.5

C. C is correct

Sine function is an odd function.

By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)

This is obtainable and clear about the sine function from earlier options

D. Is wrong

E. is wrong

F. is correct

The period of the sine function is 2 pi

The period of a function is the time distance between two peaks or crests

The diagram shows an empty tank in the shape of a horizontal prism of length 150 cm.
The cross section of the prisin is an isosceles trapezium ABCD.
AB= 50cm, CD- 70 cm and the vertical height of the trapezium is 40 cm.
(0) Calculate the volume of the tank. it is a math question ​

Answers

Answer:

2400

Step-by-step explanation:

Area of a trapezoid: (b₁ + b₂) / 2 * h

= (70 + 50) / 2 * 40

= 60 * 40 = 2400

A bag contains 2 red beads, 1 yellow bead and 3 green beads. A bead is chosen at random. What is the probability that it is red? a) What is the probability that it is not yellow?

Answers

Answer:

Step-by-step explanation:

Total no of beads = 2 + 1 + 3 = 6

No of red beads = 2

p ( red ) = 2/6 = 1/3

No of non - yellow beads = 5

p ( yellow ) = 5/6

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

Step-by-step explanation:

There are total 6 beads in all.

2) Since there are 5 non-yellow beads, the probability that the bead is not yellow will be 5/6

Since there are 2 red beads, the probability that the bead is red will be 2/6 = 1/3

if U is the midpoint of CB, CU=18, and CB= 2x-10, then find x

Answers

Answer:

x = 23

Step-by-step explanation:

CU + UB = CB

Since U is the midpoint that means CU = UB = 18

18+ 18 = 2x-10

36 = 2x-10

Add 10 to each side

36+10 = 2x

46 =2x

Divide by 2

23 = x

Answer:

x = 23

Step-by-step explanation:

CB/2 = CU

CB = (2)CU

2x - 10 = (2)18

2x - 10 = 36

Add 10 on both sides.

2x = 46

Divide both sides by 2.

x = 23

Can someone help with this trig ? pls

Answers

Answer:

45°

Step-by-step explanation:

To find you answer, we take the inverse sin(√2/2). When you plug that into your calc, you get 45°.

Alternatively, if you learned and remembered your unit circle, inverse sin(√2/2) would be π/4.

45 that’s ur answer :))))

Plz help ASAP I WILL GIVE BRAINLIEST!!

Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now?
A. 75
B. 40
C. 29
D. 63

Answers

Answer:

B. 40

Step-by-step explanation:

She starts with 46 and sells half of them

That leaves her with 23 stamps left.

She then buys 17 more, 23 + 17 is 40

Answer is B

Answer:

B. 40 stamps

Step-by-step explanation:

We know that she sold half of her stamps. She started with 46 stamps.

First, find 1/2 of 46.

Multiply 1/2 and 46, or divide 46 by 2.

1/2 *46= 23

46/2=23

She sold 23 stamps, and was left with 23 stamps.

Then, she bought 17 more. If she bought more, she added to the amount she already had.

Therefore, we can add 23 and 17.

23+17=40

She has 40 stamps now.

-28=7(x-7) What does x=

Answers

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

(10,16) and (-28, -16)
What is the midpoint of a segment
with the endpoints shown to the
left?
(-18, 0)
(-9, 2)
(19,16)
(-9,0)

Answers

Answer:

(-9, 0)

Step-by-step explanation:

To find the midpoint of the segment, we use the mathematical formula below;

(x,y) = {(x1+x2)/2 , (y1+y2)/2}

From the question;

(x1,y1) = (10,16)

(x2,y2) = (-28,-16)

Substituting these values into the equation we wrote above, we have;

(x,y) = (10-28)/2 , (16-16)/2

(x,y) = (-18/2, 0/2) = (-9,0)

Write an equation in point-slope form for each line (If possible please show work)

Answers

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

y-2=1/4(x-1)

The height of a model rocket is 4% of the height of the actual rocket. The model is 2m high. How high is the actual rocket?

Answers

Answer:

50m

Step-by-step explanation:

The model rocket is 4% of the actual rocket and it is 2m high

That means that 4%=2m

4 fits into 100, 25 times so multiply both by 25:

100%=25*2m

100%=50m

100% being the actual rocket

hope this helped!

What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.

Answers

Answer:

√126

Option D is the right option.

solution,

[tex] \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} [/tex]

Hope this helps..

Good luck on your assignment.

Hope

please help to solve this question
Find H.C.F
i) x^3-y^3, x^6-y^6, x^4+ x^2y^2+y^4​

Answers

Answer:

No Like terms

Step-by-step explanation:

x^3-y^3= No like terms (its simplified)

x^6-y^6= No like terms  (its simplified)

x^4+ x^2y^2+y^4​ = No like terms  (its simplified)

Hope this helps! Have a nice day :)

Answer:

x^2+xy+y^2

Step-by-step explanation:

x^3-y^3= (x-y)((x^2+xy+y^2)x^6-y^6=(x^3+y^3)(x^3-y^3)= (x^3+y^3)(x-y)(x^2+xy+y^2)x^4+ x^2y^2+y^4​= x^4+2x^2y^2+y^4 - x^2y^2= (x^2+y^2)^2 -x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)

HCF is x^2+xy+y^2 as it is the factor of all three polynomials

If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.

Answers

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

Please please help me! Here is a graph of y=7-x for values x from 0 to 7.

Answers

Answer:

Step-by-step explanation:

hello,

pls find below the graph

we need to find the point of intersection between both lines

which is (4,3)

hope this helps

The solution for the given system of linear equations is (4, 3).

Given that, here is a graph of y=7-x for values x from 0 to 7.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The given system of linear equations

y=7-x -------(I) and y=x-1 -------(II)

From equation (I) and (II),

7-x=x-1

⇒ 2x=8

⇒ x=4

So, y=7-x=3

Thus, (x, y)=(4, 3)

Therefore, the solution for the given system of linear equations is (4, 3).

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ5

30.10
A bag contains 4 red marbles, 3 a bag contains 4 red marbles, 3blue marbles, and 7 green marbles. If a marble is randomly selected from the bag,
find the probability that a blue marble will be drawn

Answers

Answer:

4/21

Step-by-step explanation:

It should be a porpotion

In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%.I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated.

Answers

Answer:

i. weight of wastage(kg) = 179.775 kg

ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Step-by-step explanation:

A land of 1000 sq. meter  is used to cultivate 765 kg of rice with wastage of 23.5%.

i. The wastage in percentage is 23.5% but the weight of the wastage in weight is  23.5% of 765 kg

weight of wastage = 23.5/100 × 765

weight of wastage = 17977.5/100

weight of wastage(kg) = 179.775 kg

ii. weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

A student is deriving the quadratic formula. Her first two steps are shown.

Step 1: –c = ax2 + bx

Step 2:

Which best explains or justifies Step 2?

division property of equality
factoring the binomial
completing the square
subtraction property of equality

Answers

Answer:

b

Step-by-step explanation:

i got it right

Answer: b

Step-by-step explanation:

its correct

Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3, #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively. Find the perimeter of the big rectangle.

Answers

Answer:

Perimeter of big rectangle = 38 units

Step-by-step explanation:

Let the sides of rectangle (1) = a and c cm

Sides of rectangle (2) = b and c cm

Sides of rectangle (3) = b and d cm

Sides of rectangle (4) = a and d cm

Perimeter of (1) = 2(length + width)

2(a + c) = 10

a + c = 5 ---------(1)

Perimeter of (2) = 2(b + c)

2(b + c) = 20

b + c = 10 -------(2)

Perimeter of (3) =2(b + d)

2(b + d) = 28

b + d = 14 --------(3)

Perimeter of (4) = 2(a + d)

2(a + d) = 18                      

a + d = 9 -------(4)

Since perimeter of the big rectangle = 2(a + b + c + d)

By adding equations (1) + (2) + (3) + (4),

(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9

2(a + b + c + d) = 38

Therefore, perimeter of the rectangle ABCD = 38 units

AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2

Answers

Answer:

C. [tex] AB = 5\frac{5}{7} [/tex]

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]

[tex] \frac{7}{4} = \frac{10}{AB} [/tex]

Cross multiply

[tex] 7*AB = 10*4 [/tex]

[tex] 7*AB = 40 [/tex]

Divide both sides by 7 to find AB

[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]

[tex] AB = \frac{40}{7} [/tex]

[tex] AB = 5\frac{5}{7} [/tex]

Using the distance formula, find the distance between two points. (6, 0) (-5, 4)

Answers

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

Who coined the term “fractal”?'

Answers

Answer:

Benoit Mandelbrot

Step-by-step explanation:

I googled it.

Answer:

B MANDLEBROT

Step-by-step explanation:

Who coined the term “fractal”?

a.

Sierpinski

c.

Sapoval

b.

Mandlebrot

d.

Amalgamated Research

Construct a perpendicular bisector to AB

Answers

Answer:

look below:

Step-by-step explanation:

Answer: See attachment - hopeful it helps -  

I will update post once I get it back --

Step-by-step explanation: Kindly give me brainly :)

Solve the equation 3/2(y-1) =y+5 and represent the solution on number line and on the cartesian plane...... pls solve it and spam answers will be reported and if it is truly the correct answer i will 100% sure mark it as brainleist

Answers

Answer:

y = 13

Step-by-step explanation:

Step 1: Distribute

3/2y - 3/2 = y + 5

Step 2: Subtract y on both sides

1/2y - 3/2 = 5

Step 3: add 3/2 on both sides

1/2y = 13/2

Step 4: Divide both sides by 1/2

y = 13

Answer:

y = 13.

Step-by-step explanation:

3/2(y-1) = y+5

3/2y - 3/2 = y + 5

3/2y - y = 5 + 3/2

1/2y = 6 and 1/2; 6.5; 13/2

y = 13.

To check out work...

3/2(13 - 1) = 13 + 5

3/2(12) = 18

3 * 6 = 18

18 = 18

On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.

Hope this helps!

Work out the equation of a line which has a gradient of 2 and passes through the point (1,4) plssss help me

Answers

Answer:

The equation of the line is

y = 2x + 2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the gradient

c is the y intercept

From the question m is 2

Equation of the line using point (1,4) is

y - 4 = 2( x - 1)

y - 4 = 2x - 2

y = 2x - 2 + 4

y = 2x + 2

Hope this helps you

If function ghas the factors (x-7) and (x + 6), what are the zeros of function g?​

Answers

Answer:

x = 7, -6

Step-by-step explanation:

Since they already give you the binomial factors, all you need to do is set them equal to 0 to find your roots:

x - 7 = 0

x = 7

x + 6 = 0

x = -6

Answer:

The zeros are 7 and -6

Step-by-step explanation:

(x-7)(x+6)=0

x-7=0/(x+6)

x cannot be -6

x-7=0

x=7

x+6=0/(x-7)

x+6=0

x=-6

The zeros are 7 and -6

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

The speed of a car.

Step-by-step explanation:

All the other answers are discrete.

Answer:

second one

Step-by-step explanation:

The speed of a car is a data that changes over time and it is a countinuous data

While other examples are only discrete data since they contain quantities

PLZ HELP ME PLZZZ I NEED HELP​

Answers

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

A = [tex]\frac{d*d'}{2}[/tex]       where d and d' are the diameters

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex]  A" = 729 cm²

Let a be the area of the single parallelogram

a = A"/4             since the parallelograms are congruent a = 729/4 a = 182.25 cm²

the area of a parallelogram is fiven by the formula :

A = b*h b is the base (here y/2) and h the height (here 18/9)

let's find y

a = [tex]\frac{y}{2}[/tex] * 9182.25*2 =  y*9 364.5 = y*9 y = 364.5/9 y = 40.5

Please Help me I am struggling a lot and I would be very grateful!!!

Answers

the answer would be iii: 10-15%
the way to find this is to divide 43 by 381 to get 11.2% which falls in the rage of 10-15%

3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?

Answers

Answer: Su salario regular por hora es $12

Step-by-step explanation:

Hola, para resolver este problema debemos plantear una ecuación:

A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.

Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.

Matemáticamente hablando:

40 x+ 7 (2x) = 648

Resolviendo para x (salario regular por hora)

40x +14x =648

54x =648

x = 648/54

x = 12

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If necessary, round to the nearest tenth.A right triangle with side 15 yards and hypotenuse 25 yards.a.20 ydb.150 ydc.60 ydd.300 yd Dr. Developmental is giving a talk on statistical trends in fatherhood over the past three decades. As of 2018 in the United States, he might mention that fathers:__________ The rectangle below has an area of 15k^4 + 35k^3 + 20k^2. The width of the rectangle is equal to the greatest common monomial factor of 15k^4, 35k^3, and 20k^2. What is the length and width of the rectangle? What should you do after losing a game? A. Take compliments gracefully on how well you played. B. Tell your couch why the offensive strategy did not work. C. Ignore the winning team. D. Give your teammates notes on what they did wrong durning the game. Triangle ABC is rotated 45 about point X, resulting in triangle EFD. Triangle A B C is rotated 45 degrees about point X to form triangle E F D. 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The anthropocentric approach is a subset of the holistic approach. The anthropocentric view places humanity at the center of the universe and considers nature as something to use (and abuse). The holistic approach sees humanity as part of nature and subject to its natural laws The anthropocentric point of view was only commonplace in Medieval Europe because of its religious implications. A holistic point of view is less theistic The anthropocentric view places humanity at the same level as nature while the holistic view places as inferior 12. According to a study by the World bank, whats the relationship between a countrys economic improvement and environment indicators Theres no relationship between a countrys economic development All environment indicators improve as the country gets richer. All environment indicators get worse as the country gets richer. Some environment indicators improve right away, some get worse then improve, and get worse and dont improve 13. 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