Q26. Division A has 15 students and division B has 20 students. Average score of students in division A is greater by 2 as compared to the average score of students in division B. The total marks of all the students in divi- sion B is 160 more than total marks of all the students in division A. Find the average marks of students in division A

Answers

Answer 1

Step-by-step explanation:

Let a be the total score of Div. A

Let b be the total score of Div. B

given,

[tex] \frac{a}{15} - \frac{b}{20} = 2[/tex]

as equation 1.

and

[tex]b - a = 160 \\ - a + b = 160[/tex]

as equation 2.

Now multiply equation 2 by 1/20 to eliminate b to solve for a.

[tex] ( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8[/tex]

take this new equation as equation 3.

now we will use equation 1 + equation 3 to eliminate b to solve for a.

[tex] ( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600[/tex]

Div.A total score = 600

Average Score = Total Score / Number of students.

[tex] \frac{600}{15} \\ = 40[/tex]


Related Questions

Help me with #6 Please

Answers

Answer:

4 - pi

Step-by-step explanation:

we see that the inner square leg is 2 inch because its radius + radius

which is 1+1 (two circles diameters are 4 inches, so one circle has 1 inch radius) square area = 4 inches.

we subtract the area of 4 circle quadrants which is a circle area.

area of the circle is pi r^2, r = 1 so A = pi inch

the shaded region is (4 - pi) inch squared.    

Del total de alumnos de una escuela de Medellín, la mitad nació en Medellín, un tercio en otros pueblos de Antioquia y los restantes en otros países. Si son 83 los alumnos extranjeros, el número de alumnos que nacieron en Medellín es: A. 498 B. 166 C. 250 D. 249

Answers

Answer:

OK

Step-by-step explanation:

What language us That

Can someone plzzz helpp mesee

Answers

Answer:

104

Step-by-step explanation:

sso if you use the angle right it looks just right

Answer:

[tex] m\angle EFG = 52\degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle EFG =\frac{1}{2} m\angle EDG[/tex]

[tex] (x+51)\degree =\frac{1}{2}(10x +94)\degree [/tex]

[tex] (x+51)\degree =\frac{1}{2}\times 2(5x +47)\degree [/tex]

[tex] (x+51)\degree =(5x +47)\degree [/tex]

[tex] x+51 =5x +47 [/tex]

[tex] x+51 - 47=5x - x[/tex]

[tex] 4=4x[/tex]

[tex] x=\frac{4}{4}[/tex]

[tex] x=1[/tex]

[tex] \because m\angle EFG = (x+51)\degree[/tex]

[tex]\therefore m\angle EFG = (1+51)\degree[/tex]

(plug x = 1)

[tex] \therefore m\angle EFG = 52\degree[/tex]

Linda used 36 m of fencing to enclose a rectangular section of her back yard .
What might the area of the enclosed section be? Give three different answers.

Answers

Answer:

so you'll take width (or w) and times it by Height (or h)

50 x 100 = 5000 = example

I hope this helps...

Step-by-step explanation:

For which of the following equations is (-3,-2) not a solution?

Answers

Answer:

-5

Step-by-step explanation:

Just add the numbers and if they both got negative numbers it is negative

No equation in the answer choices has a solution pair of (-3,-2) as as evident from the computation below.

Solution pair for Equations

To determine which equations are not satisfied by the solution pair; (-3,-2), we must substitute the solution pair into each equation as follows;

−3x=4y−6; -3(-3) = 4(-2) - 6; 9 = -14; False

y=x−1; -2 = -3 -1; -2 = -4; False

5x+2y=−16; 5(-3) + 2(-2) = -16; -19 = -16; False

2(-2) - 3(-3) = 0; +5 = 0; False

It follows form the computation above that, the solution pair is not a solution to any of the equation choices.

Remarks:

Select one: a. −3x=4y−6 b. y=x−1 c. 5x+2y=−16 d. 2y−3x=0

Read more on solution pair of equations;

https://brainly.com/question/25792305

Please just give me the answer

Answers

Answer:

x = 4

Step-by-step explanation:

We use the formula:

a² + b² = c²

x² + 3² = 5²

x² + 9 = 25

x² = 16

[tex]\sqrt{x^2} =\sqrt{16}[/tex]

x = 4

PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY*
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer. (First Picture)
2. Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer. (Second Picture)

Answers

1:

cos (37)= 11/x

x(cos(37))= 11

x= 11/cos(37)

x= 14.4

2:

tan (0)= 4/13

0= tan^-1/ 4/13

0= 0.3

x= 0.3

have a nice day :)

Step-by-step explanation:

solution:

A.

relation between hypotenuse and base is given by cos angle

so

[tex] \cos(ø) [/tex]=base/hypotenuse=11/x

cos37°=11/x

x=11/(cos37°)=13.77units

side indicated =x=13.77units

solution:

B.

relation between perpendicular and base is given by tan angle

so

[tex] \tan(ø) [/tex]=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

choose two answers. need help asap!

Answers

Opposite sides are congruent opposite angles are congruent

help please, solve for D
12
25
4
5

Answers

Answer: 81.98274589 is what i got but it will be 81 hope this helped

Step-by-step explanation:

2x - 15

Help meeeeee

Answers

is this the whole equation?

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

True

Step-by-step explanation:

Hope this is helpful

Answer:

It's true.

Step-by-step explanation:

Hope this helps.

Please mark as brainiest!

Roscoe is locked outside his house.The only unlocked window is on the 2nd floor which is 24 feet from the ground. He will have to borrow a ladder from the neighbors house and place it 7 feet from the house. What length of ladder does he need to reach the 2nd floor safely

Answers

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

The time it takes to drive from the New York to Florida is normally distributed
with u = 19 hours and o = 2.5 hours. What is the probability that the next
time someone drives from NY to FL it will take between 20 and 24 hours?

Answers

Answer:

32.18%

Step-by-step explanation:

Just took the test

The final answer is: 32.18%

Got it right when I did it! :)

HELP HELP PLEASE ILL MARK BRAINLIEST

Answers

Answer:

third one

Step-by-step explanation:

cuz its a fraction, and fractions arent polynomials

Answer: C

Explanation: The variable is in the denominator

If 4% of the population catch a certain disease, find the probability that in a group
of 200 people, exactly 3 will get the disease.

Answers

3/200=1.5/100
Tbh i don’t know I’m guessing it’s 1.5%

A ladder leans against the side of a house the top ladder is 16 ft from the ground the bottom of the ladder is 12 ft from the side of the house find the length of the ladder if necessary round your answer to the nearest tenth

Answers

Answer:

[tex] {h =}^{2} = {p}^{2} \: + {b}^{2} [/tex]

[tex] {h}^{2} = {16}^{2} + {12}^{2} [/tex]

[tex] {h}^{2} = 256 + 144[/tex]

[tex]h = \sqrt{400} [/tex]

[tex]h = 20[/tex]

therefore the length of the ladder is 20ft

-9q = 63 what would be q

Answers

Answer:

-7

Step-by-step explanation:

-9q = 63

q= 63/-9 = -7

PLEASE HELPPPPPP...

Between which, two months was the largest decrease in profits recorded? What was the amount of the decrease?


April to May, $4,000 <-

February to March, $4,000

April to May, $5,000 <-

February to March, $5,0000

Answers

april to may $5,000

Answer:

Between which two months was the largest decrease in profits recorded? What was the amount of the decrease?

February to March, $4,000

April to May, $4,000

April to May, $5,000

February to March, $5,000

Step-by-step explanation:

C. is right

so uh this is due tomorrow

Answers

He will make 374.85 this week .

Which is a solution of 2x(8x + 5) (7x – 13) = 0?

Answers

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86

If we reflect point D(2,-3) over the y-
axis, what is the new image?
D'(-2,3)
D'(-2,-3)
D'(2,-3)
D'(2,3)

Answers

Your answer would be (-2,3) because it’s reflecting over the y (vertical) axis

PLEASE HELP (30 points)
(I will report fake answers or links)
Solve each equation by completing the square.If necessary,round to the nearest hundredth.

10.) b2+10b=75

11.) y2-18y=63

12.) n2-20n=-75

13.) a2+16a=-15

14.) t2+8t-9=0

15.) h2-12h-9=0

Answers

Answer:

10) b = 6.25

11) y = -3.94

12) n = 4.16 repeating

13) a = -0.83 repeating

14) t = 0.9

15) h = -0.9

Hope this helps!

Use the data for the books each class donated for a book drive.
Books Donated
28
15
40
45
27
19
50
36
42
37
21
25

Find the Median.

Answers

Answer:

rearrange in ascending order

15,19,21,25,27,28,36,37,40,42,45,50

using formula (n\2)th + (n/2)+1)th/2

(12/2)th + (12/2)+1)th/2

6th +7th/ 2

the 6th number=28and the 7th number=36

28+36/2

64/2

32

median =32

What is FG?

NEED HELP QUICK!!

Answers

Answer:

FG = 18

Step-by-step explanation:

FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10)

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Then

FG = x + 10 = 8 + 10 = 18

Answer:

50

Step-by-step explanation:

90-54=36

then u do 36-10 which will give u 26

that will be f then u do 90-50 which is 40 and 40 is the x so now that u got x u can add that to ten which will give u fifty if that's not the way u want it or if this is wrong then i tried cause that what i got

PLEASE HELP!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

a^2+b^2=c^2

10^2+b^2=17^2

100+b^2=289

-100         -100

       b^2=  189

      b= the square root  of 189

b=13.7477270849

Evaluate the expression for x=-2 and y=9.
xy + y =

Answers

Answer:

-18 + 9 = -9

Step-by-step explanation:

-2 x 9 = -18

find the x please!!!!

Answers

Step-by-step explanation:

All 3 angles add up to be 180 due to sum of angles in a triangle.

Given this fact,

[tex]38 - 5x + 83 + 24 = 180 \\ 145 - 5x = 180 \\ - 5x = 180 - 145 \\ - 5x = 35 \\ x = 35 \div - 5 \\ = - 7[/tex]

Answer:

(38 - 5x)⁰ + 83⁰ + 24⁰ = 180⁰

<=> (38 + 83 + 24) - 5x = 180

<=> 145 - 5x = 180

<=> 5x = 145 - 180

<=> 5x = - 35

<=> x = - 7

At a football game, 65% of people attending were supporting the home team, while 35% were supporting the visiting team. If 1300 people attending the game supported the home team, what was the total number of people attending the game? HELP ME I NEED AN A IN MATH!

Answers

Answer: 2000

Step-by-step explanation:

Percentage supporting home team = 65%

Percentage supporting visiting team = 35%

Number of people supporting home team = 1300

Let the total number of people attending the game be represented by x.

Therefore, 65% of x = 1300

65/100 × x = 1300

0.65 × x = 1300

0.65x = 1300

x = 1300 / 0.65

x = 2000

Therefore 2000 people attended the game.

Which of these serves as a way to help get rid of waste and is most commonly found in animal cells not in plant cells?

A. a membrane
B. a nucleus
C. chloroplasts
D. lysosomes

Answers

D. Lysosomes


Only Plant cells have chloroplasts
Both plant and animal cells have nucleus and a membrane

Only an animal cell has lysosomes.

A cone has a volume of 565.2 cubic millimeters and a radius of 6 millimeters. What is its
height?
Use I 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

h is the height of the cone

[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]

So, the height of the cone is equal to 15 mm.

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