In ten-pin bowling, the highest possible score in a single game is 300. At one point in the bowling season, Fred F Stone had an average score of 177. In his next game he obtained a score of 199, which caused his average to increase to. 178. After one more game Fred would like his average to be 183. Is it possible for Fred

Answers

Answer 1

Let, number of games played is n and sum of their points are x.

So, [tex]177=\dfrac{x}{n}[/tex]    

Now, In his next game he obtained a score of 199, which caused his average to increase to 178.

[tex]178=\dfrac{x+199}{n+1}[/tex]

Now equations are :

x = 177n    ...1)

x + 199 = 178( n + 1 )

x = 178n - 21  ...2)

Solving eq 1 and 2 , we get :

x = 3717 and n = 21 .

Now, new average is 183.

Let, point scored in last game is y.

So,

[tex]183 =\dfrac{x+y}{n+1+1}\\\\183 = \dfrac{3717+y}{23}\\\\y = 183\times 23 - 3717\\\\y=492[/tex]

He required 492 points which is greater than the maximum i.e 300.

Therefore, it is not possible for Fred.

Hence, this is the required solution.


Related Questions

what would be the answer to (6+3)^2-4 if you were to simplify it?

Answers

Answer:

1/81

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Parenthesis first, (6+3=9)^2 (9)^2 = 81-4 = 77

Type the correct answer in the box,
One solution to a quadratic equation is x = 1 + 8i. What is the other solution?

Answers

We'll assume the quadratic equation has real coefficients

Answer:

The other solution is x=1-8i.

Step-by-step explanation:

The Complex Conjugate Root Theorem

if P(x) is a polynomial in x with real coefficients, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).

The question does not specify if the quadratic equation has real coefficients, but we will assume that.

Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.

Answer:

the answer would be x= 1-8i

Step-by-step explanation:

plato said so

HELP ILL GIVE U BRAINLEST!!

Answers

Answer:

19/24

Step-by-step explanation:

Quadration Equation
X^2 - 6x - 7 = 0

Answers

Answer:

x = - 1, x = 7

Step-by-step explanation:

Given

x² - 6x - 7 = 0

Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (- 6)

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, thus

(x - 7)(x + 1) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

simplify the expression
d + 3cd – 7c + 3cd + 2c

Answers

Answer:

=6cd−5c+d

Step-by-step explanation:

Answer:

d + 6cd - 5c

Step-by-step explanation:

d + 3cd + 3cd + 2c - 7c = d + 6cd - 5c

what is 4x +12=20 proof

Answers

4x+12=20
-12 -12
——————
4x=8
divide by 4 on both sides
x=2

Answer the following above:

Answers

Answer:

-3.25

Step-by-step explanation:

Just multiply -0.5 and 6.5.

A bakery baked 16 cakes using 40 pounds of sugar. For each cake,... pounds of sugar was used

Answers

Answer:

2.5 pounds or sugar for each cake

Step-by-step explanation:

40/16=2.5

2.5 pounds of sugar was used

F(x) =1/4(2-x)^2, what is the value of f(18)

Answers

Answer:

I have know idea what the answer is

Are all imaginary numbers like terms

Answers

No there not hope this helps :)

The perimeter of a rectangular room is 60 feet. Let pie be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation

Answers

Answer:

1.i dont know 2. we rock

What is the slope of a line segment with endpoints at (-1,1) and (1,5)?

O undefined

O 4.

O 0.5

O 2

Answers

The answer is 2 use the x1 x2 over y1 y2 formula

solve for the indicated variable. e=f-g for g

Answers

Answer:

g = f - e

Step-by-step explanation:

f - g = e

- g = e - f

g. = f - e

Quincy needs 322 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 15 yards. Alice needs twice as many yards of ribbon as Quincy. How many rolls of ribbon does Alice need? Explain your answer.

Answers

Answer:

The answer is 35

Kaitlyn is making big goods for charity bake sale he places a tray of scones a tray of muffins and a tray of cookies in the oven discounts bake for 15 minutes the muffins bake for 12 minutes and the cookies bake for 10 minutes when one trays done he removes it and replace it with another tray at the same I don't how many minutes after kaylan put the trays in the oven when he 1st remove the scones muffins and cookies at the same time

Answers

Answer:

So:

Counting from a given time t = 0min, we know that:

Each 15 mins she removes the scones

Each 12 mins she removes the muffins

Each 10 mins she removes the cookies.

So when will she remove both at the same time?

Well, this will happen in the smallest common multiple of 15, 12 and 10.

or at LCM(10, 12, 15).

How we find it?

well, in this case is easy.

All the multiples of 10 end with a zero.

So let's find the multiples of 12 and 15 that also end with a zero:

12*6 = 60

15*4 = 60

and

10*6 = 60

So the LCM(10,12,15) = 60.

Another way is by calculating:

10*12*15/(GCF(10,12)*GCM(12,15)*GCM(10,15)

Where GCF = greatest common factor.

Between 10 and 12 is 2.

Between 12 and 15 is 3

Between 10 and 15 is 5.

Then:

10*12*15/(2*3*5) = 60.

This means that 60 minutes after she starts, she will remove the scones, muffins and cookies at the same time.

When measuring the sides, triangles can be classified as acute, scalene and isoceles

Answers

Answer:

Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles

Step-by-step explanation:

In any triangle, there are at least two acute angles

The types of triangles according to their angles are:

Acute-angled triangle ⇒ 3 angles are acuteRight-angled triangle ⇒ 2 acute angles and 1 right angleObtuse-angled triangle ⇒ 2 acute angles and 1 obtuse angle

The types of triangles according to their sides are:

Equilateral triangle ⇒ 3 equal sidesIsosceles triangle ⇒ 2 equal sidesScalene triangle ⇒ 3 different side

You can classify the type of the triangle according to its angle using the measuring of its sides.

If a triangle has sides length a, b, c where c is the longest side

∵ a² + b² > c²

∴ The triangle is an acute-angled triangle

∵ a² + b² = c²

∴ The triangle is a right-angled triangle

∵ a² + b² < c²

∴ The triangle is an obtuse-angled triangle

You can classify the type of the triangle according to its sides using the measuring of its sides.

If a triangle has sides lengths a, b, c

∵ a, b, c have unequal lengths

∴ The triangle is scalene

∵ a and b or a and c or b and c have equal lengths

∴ The triangle is Isosceles

∵ a, b, c have equal lengths

∴ The triangle is equilateral

Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles

Assessment
MULTIPLE CHOICE
Directions: Read and answer the questions carefully. Write th
your Mathematics notebook.
1. Which of the following is a well - defined set?
A. The set of big people.
B. The set of happy people.
C. The set of prime numbers.
D. The set of intelligent teachers.​

Answers

Answer:

C. The set of prime numbers.

Thank you ☺️

5x-4 ≥12 or 12x+5 ≤-4

Answers

it should be 4.5 if that it what I am thinking about , I did the same question the other day

Answer:the answer is in fact 3/4

Step-by-step explanation:

3=−2 |14s−5| +3 can i get a simple explination im kind of dumb lol

Answers

Answer:

s=5/14

Step-by-step explanation:

cancel equal terms on both sides of the equation

0=-2 x |14s-5|

swap the sides of the equation

-2 x |14s-5|=0

divide both sides of the equation by -2

|14s-5|=0

when the absolute value of 14s-5= 0, then 14s-5=0

move the constant to the right-hand side and change its sign

14s=5

now divide both sides of the equation by 14

s=5/14

f(x) = -4x + 5
g(x) = x2 + 3x

Answers

Answer:

f(x)=21

g(x)= x^3+x^2

Step-by-step explanation:

An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, price, number of power settings, and color. What are the individuals in this data set?

a) microwave ovens
b) brands
c) prices
d) colors

Answers

Answer:

  a) microwave ovens

Step-by-step explanation:

Since we don't know what the dataset is, we cannot say with certainty what its elements are. The first sentence talks about microwave ovens, so it may be reasonable to assume that will be the members of the data set.

_____

Additional comments

In computer programming terms (as for a shopping web site, for example), the data set would consist of tuples of ...

  (brand, price, number of power settings, color)

and perhaps other attributes, such as dimensions, home/commercial, length of warranty, and more. That is, the appropriate answer would be "all of the above."

__

We recommend you discuss this with your teacher and try get a clear statement of the rule that can be applied to questions like this. There are many "this situation" questions that are popular now, in which "this situation" could be any of numerous features of the scenario described. Defining the question properly is the first step to solving it.

Answer:

A

Step-by-step explanation:


Find the greatest common factor (GCF) for 18, 27 and 54.

Answers

Answer:

9

Step-by-step explanation:

Need some help on this question

Answers

Answer:

No because my brain doesn't work on math and I need help on solving inequalities

What is the constant of proportionality for this table?



d C
2 6.28
3 9.42
5 15.7
10 31.4

Answers

Answer:

C

Step-by-step explanation:

standard form of y=-3/2+7

Answers

Answer:

2y=11

Step-by-step explanation:

angelo wants to buy a laptop and an android phone to be used in his online class. He paid a total of Php 24, 200.00 for both gadgets. The price of the laptop is Php 3, 800.00 more than the price of the android phone.

Answers

Answer:

laptop: 14000

phone: 10200

Step-by-step explanation:

laptop: x + 3800

phone: x

x + 3800 + x = 24200

2x + 3800 = 24200

2x = 20400

x = 10200

laptop: 10200 + 3800 = 14000

phone: 10200

My Instagram just got disabled how do I recover it today or by tomorrow?? Help pls

Answers

Answer:

I would call them and ask for the manager lowkey!

Step-by-step explanation:

❤❤

Answer:

Of course today

Step-by-step explanation:

What is the slope of the line that passes through the pair of points?
( 1,7 ) , ( 10,1 )


Answers

Answer:

m = -2/3

Step-by-step explanation:

We can find the slope of the line from the given two points:

m = (y2-y1)/(x2-x1)

m = (1-7)/(10-1)

m = -6/9

m = -2/3

What is 166.6789 to the nearest hundredth

Answers

Answer:

166.68

Step by Step:

166.678

The bolded number is greater than 5 meaning you have to round up.

so 166.678 is rounded to 166.68.

Hope this helped.

Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?

Answers

Answer:

10.8 shots

Step-by-step explanation:

Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18. The answer we get is 10.8, but we can't have a part of a shot.

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