The average score in an examination taken by 52 students of a class is 85. If the scores of the best 5 performers are not considered, the average score of the remaining students falls by 2. If, none of the first five highest scorers is not below 80 and if each of the 5 top scorers had distinct integral scores, find the maximum possible score of the topper.​

Answers

Answer 1

Answer:

177

Step-by-step explanation:

If the top 5 performers are not considered, the average drops by 2.

Thus,average without top 5 performers = 85 - 2 = 83

Total scored with 5 table toppers = 52 × 85 = 4420

Total scored without 5 table toppers = 47 × 83 = 3901

Total scores of top 5 table toppers = 4420 - 3901 = 519

We are told that each of the 5 top scorers had distinct integral scores.

Also, all of them will score greater than 83.

Thus,possible maximum score of table topper = 519 - (84 + 85 + 86 + 87) = 177


Related Questions

Find the area of the following figure:

Answers

Answer:

[tex]2688[/tex]

Step-by-step explanation:

1) Simplify 2 × 8 to 16.

[tex]16 \times 12 \times 14[/tex]

2) Simplify 12 × 16 to 192.

[tex]192 \times 14[/tex]

3) Simplify.

[tex]2688[/tex]

So, therefor, the answer is, 2688.

PLEASE HEALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPP (−18)×4

Answers

Answer:

-18 x 4 = -72

Step-by-step explanation:

a negative times a positive is a negative number.

5. 16^0 = * please i need help and i need the answer today not trying to rush but please thanx

Answers

Answer: 1

Step-by-step explanation:

16⁰ = 1

Anything to the power of zero is 1.

1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12

for 0 < t < 4 where t is the time in seconds after it reaches the crossing. When does the car reach its minimum speed? What is the minimum speed?


Show your work or strategy:





When does the car reach its minimum speed? _________________





What is the minimum speed? _________________________

Answers

Answer:

At t=2s the car  reach its minimum speed

Minimum speed=8m/s

Step-by-step explanation:

We are given that velocity of car

[tex]v(t)=t^2-4t+12[/tex]

0<t<4

Differentiate w.r.t t

[tex]v'(t)=2t-4[/tex]

[tex]v'(t)=0[/tex]

[tex]2t-4=0[/tex]

[tex]2t=4[/tex]

[tex]t=2[/tex]

[tex]v''(t)=2>0[/tex]

The velocity is minimum at t=2 s

Substitute t=2

[tex]v(2)=2^2-4(2)+12[/tex]

[tex]v(2)=8m/s[/tex]

Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s

I need help

A square and a triangle have equal area. If the triangle has a height of 8 cm and a base of 9 cm, what is the perimeter of the square?

A:

72 cm

B:

6 cm

C:

24 cm

D:

18 cm

Answers

Answer:

A 72cm

Step-by-step explanation:

Area of a triangle = 1/2 base x height

= 1/2 × 8× 9 = 36cm2

area of triangle = area of square

36cm2 = 36cm2

area of square = length x breath

= x x x = 36cm3

square has all sides(4) equal

therefore: 36/ 2 = 18cm (one side)

(18 x 18= 36cm3, so area is correct)

hence perimeter = 18+ 18+18+18 = 72cm

There are (3^5)^2 . 30 leaves on a tree. What is the total number of leaves on the tree? (5 points)

Answers

Answer:

The awnser is 3^10

Step-by-step explanation:

Cargo shipping, an automobile manufacturer is preparin shipment of a cars andvtrucks on a cargo ship that can carry 21,600 tons
The cars weigh 3.6 tons each and the trucks weihgt 7.5 tons each. 1. Wtite thevequation thatvrepresents the weight constraint of a shipment let be the number of cars and be the numbers of trucks.

Answers

Answer:

3.6c + 7.5t <= 21,600

Step-by-step explanation:

Let c = number of cars, and let t = number of trucks.

c cars weigh 3.6c tons, and t trucks weigh 7.5t tons.

3.6c + 7.5t <= 21,600

If the length of a rectangle is 12cm and the area is 48 what is the breadth and perimeter?

Answers

Answer:

32

Step-by-step explanation:

width- 48/12= 4

(12+4)2

=32

hope that helps if it does plese mark as brainliest.

Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?

Answers

Area = length x width

Area = 5/4 x 5/4 = 25/16 ft squared

i need help with

−5 × −8 =

Answers

Answer:

40

Step-by-step explanation:

-5 * (-8) = 40

Answer:

40

Step-by-step explanation:

Because multiplication of subtract will be added

(FILL IN THE BLANK)

Analyze the graph of the exponential decay function.

The initial value is _____

The base, or rate of change is _____

The domain is _____

Answers

Initial value = 1
Rate of change = not sure
Domain = (-infinity, infinity)

2+2?
5+6?
3+0? Pl tew awser

Answers

The answers are
2+2= 4
5+6= 10
3+0= 3

Plz help asap its due in 40 mins ​

Answers

Answer:

b

Step-by-step explanation:

yes its right

Answer:

1) x=11

2)x=9

3)pr=21

4)fe=68

The equation for line g can be written as y = 2/9x + 10.
Line h, which is parrellel to line g, includes the point (-3, -1) what is the equation

Answers

Answer:

y=2/9x-1/3

Step-by-step explanation:

since line h is parallel to line g, this means that line h has the same slope as line g.

line h's slope would be 2/9.

to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:

y=2/9x+b

-1=2/9(-3)+b

Then, solve for b:

-1=2/9(-3)+b

-1=-6/9+b

b=-1/3

so, the equation for line g is: y=2/9x-1/3

Cook's bakery is making 15 cakes. Each cake contains 2 cups of flour. How many cups of flour (F) are needed to make all the cakes?
A) 2/F = 15
B) F/2 = 15
C) 15/2 = F
D) F = 15 + 13

Answers

Answer:

i think its C pls mark brainliest tho

Step-by-step explanation:

Answer: C

Step-by-step explanation: So it's asking you how many cups of flour in total it is suppossed to be multiplication but since there is no multiplication the only other answer that makes sense it C.

Write an equation in standard form of the circle with the given properties.
Center at the origin; r square root 6

Answers

Answer:

x² + y² = 6

Step-by-step explanation:

The standard form of the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Here r = [tex]\sqrt{6}[/tex] , then

x² + y² = ([tex]\sqrt{6}[/tex] )² , that is

x² + y² = 6

How much money will Gregg need to save in order to buy a video game for $40 if the sales tax is 8%?

Answers

It would most like be $43 with tax if I’m not mistaken

Answer:

$43.2

Step-by-step explanation:

You need to divide 40 by 100 then multiply by 8, after that add what you get to 40.

Ken, the camp cook, makes 3 meals for every camper. The
equation y 3x shows the number of meals he makes,
which depends on the number of campers.
Select the graph with the correctly labeled axes for this situation.

Answers

Answer: number of meals on the left side then number of campers on the bottom

Step-by-step explanation:

A p e x and it says 3 meals for every camper it never said how long so it’s not going to be so the graphs with day in it next you can’t put campers on the side cause if you don’t have enough meals for everyone you ant goin keep the campers happy so that’s how I got my answer sorry if that was confusing brainless please

Answer:is D

Step-by-step explanation:

Y varies directly with x. If y = 150 when x = 3, what is x when y = 600

Answers

Answer:

Step-by-step explanation:

Y varies directly with x:

y=kx

for some non-zero constant k

substitute y=150 and x=3:

150=3k

k=50

When y=600:

600=(50)x

x=12

Which inequality is equivalent to this one? y-85-2​

Answers

Answer:

[tex]y-8+2\leq -2+2[/tex]

Step-by-step explanation:

Since you're adding either 8 or 2 to both sides, the inequality sign doesn't change.

So we can eliminate the first and second choice.

Now it's down to the bottom two.

The third choice is adding 2 to the left hand side and then adding 8 to the right hand side. You can't add two different numbers to different sides.

Therefore, the last one must be the correct answer.

The last one is adding two to both sides and have the same inequality sign.

A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?

Translate the problem into 2 equations.


Let the x be the number of $10 bills and y be the number of $20 bills.

Answers

Answer:

100 $10 bills and

50 $20 bills

Step-by-step explanation:

Given

[tex]x = \$10[/tex]

[tex]y = \$20[/tex]

[tex]Bills = 150[/tex]

[tex]Value = \$2000[/tex]

Required

Determine the number of $10 and $20 bills

[tex]Bills = 150[/tex].

This implies that:

[tex]x + y = 150[/tex]

[tex]Value = \$2000[/tex]

This implies that:

[tex]10x + 20y = 2000[/tex]

So, the equations are:

[tex]x + y = 150[/tex]

[tex]10x + 20y = 2000[/tex]

Make x the subject in the first equation

[tex]x = 150 -y[/tex]

Substitute 150 - y for x in the second

[tex]10(150 - y) + 20y= 2000[/tex]

[tex]1500 - 10y + 20y= 2000[/tex]

[tex]1500 + 10y = 2000[/tex]

[tex]10y = 2000-1500[/tex]

[tex]10y = 500[/tex]

[tex]y =50[/tex]

Recall that:

[tex]x = 150 -y[/tex]

[tex]x = 150 -50[/tex]

[tex]x = 100[/tex]

A line has a gradient of -2
A line that is parallel to this will have a gradient of ...

Answers

Given:

A line has a gradient of -2

A line that is parallel to this will have a gradient of ..... .

To find:

The missing value.

Solution:

Gradient of a line is also known as slope of the line.

We know that the slopes of the parallel lines are equal.

A line has a gradient of -2. So, the slopes of all the lines which are parallel to this line have a gradient of -2.

Therefore, the missing value is -2.

Measure these angles.
a)
b)​

Answers

Answer:

Step-by-step explanation:

Angle A = 55 degrees.                                                                                                   Angle B = 61 degrees.

The measure for part a is 55 degree.

The measure for part b is 61 degree.

What is Acute Angle?

An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.

An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).

Given:

from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.

Also, we know that Angles which are less than 90 degree is acute angle.

So, the both angles are less than 90.

The measure for part a is 55 degree.

and, the measure for part a is 61 degree.

Learn more about Acute angle here:

https://brainly.com/question/27749090

#SPJ2

Find a solution to the linear equation 13x+y=26

Answers

Answer:

y = -13x+26

Step-by-step explanation:

13x+y=26

y= -13x+26

1/4 + 2/3= then times that by two

Answers

Answer

1 7/12

Step-by-step explanation:

1 7/12
step by step explanation:

Aaron borrowed money to start a new
business. The simple interest rate on the
loan is 2.5%. He will pay back the loan by
making a total of 12 payments of $266.50
each. How much did he borrow?

Answers

Answer:

$6.69448

Step-by-step explanation:

I=?

P=$266.50

R=2.5*1/100=2.5/100

T=12

P*R*T

$266.50*2.5/100*12=$6.69448

Write and equivalent expression for the following expression: ab

Answers

Answer:

ab = a(b)

Step-by-step explanation:

cuz u can just add parentheses

what is the domain of the function represented by this graph?

Answers

the answer would be option D if im correct
The correct answer is All Real Numbers

20.7 liters of water came out of a faucet today. If 1.5 liters of water come out each minute, how many minutes was the faucet on?

Answers

Answer:

13 min 8 sec

Step-by-step explanation:

Answer:

13 hours 15 mins

Step-by-step explanation:

20.7/1.5= 13.8

What is the value of y? y = Find the following angle measures. mAngleJKM = ° mAngleMKL = °

And are we all struggling in geometry and super stressed out and behind or is it just me

Answers

Answer:

What is the value of y?

y = ✔ 10

mAngleJKM = ✔ 106°

mAngleMKL =  ✔ 74°

Step-by-step explanation:

Answer:

1: 10  2: 106  3: 74

Step-by-step explanation:

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