In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John 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 John would like his average to be 183. is it possible for him to accomplish this. If so what score does he need to make his next game if not explain why not.

Answers

Answer 1

Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

[tex]\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\[/tex]

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

[tex]\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\[/tex]


Related Questions

Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?

Answers

Step-by-step explanation:

(1$) 7+ ($5) 4 + ($10) 11=22 bills

7+20+110=137$

CAN SOMEONE HELP WITH THIS ASAP!!!!!! and explain how u got the answer

Answers

9514 1404 393

Answer:

  12.4

Step-by-step explanation:

FD is marked as 6.2. It is a "midline" parallel to AC. A midline is half as long as the side it is parallel to.

  AC = 2×6.2

  AC = 12.4

Find out how long it takes a ​$ investment to double if it is invested at compounded . Round to the nearest tenth of a year. Use the formula . A. years B. years C. years D. years

Answers

Answer:

(A) 8.8 years

Step-by-step explanation:

Given that the principal amount = $ 3100

Rate of compound interest = 8% compounded semiannually.

The given formula is

[tex]A=P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.

From the given condition,

P=$3100

r= 8%=0.08 compounded semiannually

n=2

A=2 x 3100=$ 6200.

Put all these in the given formula to get the required time, we have

[tex]6200=3100\left(1+\frac{0.08}{2}\right)^{2t}[/tex]

[tex]\Rightarrow \left(1+0.04\right)^{2t}=6200/3100[/tex]

[tex]\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\[/tex]

On rounding to the nearest tenth of a year, t=8.8 years.

So, the invested amount will be double in  8.8 years.

Hence, option (A) is correct.

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Ten family size bags of chips cost $15.00. What is the cost per bag? How much would 11 bags cost?

Answers

Answer:

Each bag is $1.50. 11 bags would cost $16.50.

Answer:

Each bag would cost 1.50$.

15.00$ / 10 = 1.5$

1.5 = 1.50

______________________

11 bags:

1.5 x 11 = 16.5

16.5 = 16.50$

11 bags would cost 16.50$

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.

Answers

Answer:

$11.50 is being split among the 8 friends

Step-by-step explanation:

76 + 16 = 92

92/8 = 11.5

Answer:

A and C

Step-by-step explanation:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

2. For Halloween Janet gives 2 candy bars to each kid that
trick-or-treats at her house. Janet bought a bag of candy that
has 125 candy bars. Write an equation describing the
relationship between the number of kids, k, who come to
Janet's house on, and the amount of candy bars, c, she has
remaining.

Answers

Answer:

she can give out candy to 62 kids

Step-by-step explanation:

there is ur answer

Answer:

The equation is y = -2x + 125

Step-by-step explanation:

Let x represent the # of kids

And let the 125 as the starting amount of candy bars she has

and also its correct trust me

Pls mark me as brainliest

Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.

Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331


Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.

Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.

Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.

Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.

Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.

Answers

Answer:The answer is B

Step-by-step explanation:

plz i need help gdfsgsdsgdsgdsgdsgsdgdsgdsdfhdhjdfdfjdfjdfjdj

Answers

Answer:

(-3,0) (-2,-2)

Step-by-step explanation:

Will give brainliest if correct.

Answers

Answer:

x-int: (5, 0)

y-int: (0, 4)

General Formulas and Concepts:

Alg I

The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis. The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

x-int

According to the graph, it crosses the x-axis at 5. Therefore, our x-int is (5, 0)

y-int

According to the graph, it crosses the y-axis at 4. Therefore, our y-int is (0, 4)

WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.

Equation: y = __x + __

Answers

Answer:

Step-by-step explanation:

y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept

the difference between two numbers is 48. the ratio of the two nukbers is 7:3. what are tge two numbers​

Answers

The difference between the two numbers is 48. The ratio of the two numbers is 7 : 3. Hence, 84 and 36 are the two numbers.

Given :-

The difference between the two numbers is 48.

The ratio of the two numbers is 7 : 3.

To Find :-

The Two Numbers

Solution :-

Let the first number be 7x

And the second number be 3x

According to the Question,

⇒ 7x - 48= 3x

⇒ 7x-3x = 48

⇒ 4x = 48  

⇒ x = 48/4

⇒ x = 12

1st number is= 7x = 84

2nd number= 3x = 36

Hence, 84 and 36 are the two number

Is this equations linear?

Answers

Answer:

No

Step-by-step explanation:

There can not be x and y both attached to one coefficient.

Answer:

No

Step-by-step explanation:

Its not linear because the equation has "3xy" in it.

-8.4-0.9
please help solve

Answers

Answer:

-9.3

Step-by-step explanation:

Google

Answer:

Step-by-step explanation:

-9.3

Mrs. Dobbs rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. The taxi charges Lupita $40.03 in total for her trip.

Answers

Subtract the flat rate from the total, then divide by price per mile for total miles:

40.03 - 6.75 = 33.28

33.28/3.20 = 10.4 miles.

Lupita drove 10.4 Miles for her trip.

Explanation:

40.03 - 6.75 = 33.28 dollars left

33.28 ÷ 3.20 = 10.4 Miles

Line m is perpendicular to x - 3y =-1 and passes through (9, 4). What is the slope of line m?

A. 1/3
B. -3
C. 4
D. 3 ​

Answers

Answer:

d)3

Step-by-step explanation:

y=mx+b

x-3y=-1

reform as the equation above

x+1=3y

simplify --> y=1/3x+1/3

perpendicular lines have opposite-reciprocal slopes

so the answer is 3

f(x) = x^2 + 3x
f(-2)=

Answers

f(-2) = -2

f(-2) = -2^2 + 3*-2
f(-2) = 4 + -6
f(-2) = -2

plz help me simplify 3x+7x−28+31−8x

Answers

Answer:

2x+3

Step-by-step explanation:

3x+7x−28+31−8x

10x-28+31-8x

(10x-8x)(-28+31) (combine like terms)

=2x-3

If it takes 2/5 cup of red paint to mix with 5/8 cup blue paint to make purple paint. How much red paint is needed to mix with 1 cup of blue paint.

Answers

Answer: she should use 5/8 cups i think

Step-by-step explanation:

What is the slope of the line below?

Answers

Answer:

The answer is the green answer choice which is 5/7.

Step-by-step explanation:

Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2.

Answers

Nose rkrbtje de donde salió la luz de

EASY POINTS AND BRAINLIEST IF RIGHT!!

Diane flipped a coin 600 times and it landed heads up 240 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?
4%

6%

40%

60%

Answers

Step-by-step explanation:

The relative frequency of the coin landing heads up is 0.4 or 40%.

Step-by-step explanation:

We are given that,

Total number of times coin is tossed = 600

Number of times heads comes = 240

Since, 'relative frequency' is the fraction of number of times an event occurs and the total number of events.

Thus, the relative frequency that heads comes = \frac{240}{600}

600

240

i.e. Relative frequency that heads comes = 0.4 or 40%

Thus, the relative frequency of the coin landing heads up is 0.4 or 40%.

Answer: 40%

Step-by-step explanation:

What is the value of x?
(2x)
0 22.5
0 30
O 45

Answers

Since it has 3 congruent sides, it must have 3 congruent angles. This triangle is an equilateral triangle. So this means that you’ll have 6x=180 and x=30
The triangle is equilateral meaning all angles are the same : divide 180/3=60 so you have (2x) which would be (2*30)=60 so in short 30 is the answer

Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15?

Answers

Answer:

10

Step-by-step explanation:

each taco is 1.50$ 15$ divided by 1.50$ is 10

Answer:

He can buy 10 tacos with $15.

Step-by-step explanation:

You can do a cross multiplication process. Think in this way:

If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.

Find the hypothesis for side a 16 side b 20

Answers

I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following

a^2 + b^2 = c^2

16^2 + 20^2 = c^2

256 + 400 = c^2

656 = c^2

c^2 = 656

c = sqrt(656)

c = sqrt(16*41)

c = sqrt(16)*sqrt(41)

c = 4*sqrt(41)

The hypotenuse is exactly 4*sqrt(41) units long

This is approximately 25.612 when you use your calculator.

Instructions: Solve the following literal equation.
Solve P-2w/2= l for P.

Answers

Answer:

P=l+w

Step-by-step explanation:

Solve for P by simplifying both sides of the equation, then isolating the variable.

WILL GIVE BRAINLIST!

Answers

Answer:

x=60

Step-by-step explanation:

Answer:   The equation  60 + x= 3x -70   could be set up to solve for x.  

Step-by-step explanation:

The two remote  interior angles sums will equal to the exterior angle .

Meaning that angle 60 plus angle x has to equal to angle 3x -70.

60 + x= 3x -70       Now solve for x by adding 70 to both sides

+70             +70

  130 + x = 3x      Now subtract x from both sides

         -x      -x

  130 = 2x        Divide both sides by

  x = 65

Use the graph to write an explicit function to represent the data and determine how much money Taryn earned in week 5.

graph with x axis labeled Number of Weeks and ranges from zero to seven, y axis labeled Money Earned, in dollars, and ranges from zero to one hundred eighty with points at one comma four, two comma twelve, three comma thirty six, and four comma one hundred eight

f(n) = (3)n − 1; f(5) = 81
f(n) = 4(3)n + 1; f(5) = 2,916
f(n) = 4(3)n; f(5) = 972
f(n) = 4(3)n − 1; f(5) = 324

Answers

Answer:

answer is C f(n) = 4(3)n; f(5) = 972

Step-by-step explanation:

i took the test, also

The graph is an illustration of an exponential function

The true statement is (d) [tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex], [tex]\mathbf{f(5) = 324}[/tex]

An exponential function is represented as:

[tex]y = ab^{x-1}[/tex]

From the graph, we have the following points

[tex](x_1,y_1) = (1,4)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

So, we have:

[tex]y = ab^{x-1}[/tex] --------- [tex](x_1,y_1) = (1,4)[/tex]

[tex]4 = ab^{1-1}[/tex]

[tex]4 =ab^0[/tex]

[tex]4 =a \times 1[/tex]

[tex]4 =a[/tex]

[tex]a = 4[/tex]

[tex]y = ab^{x-1}[/tex] --------- [tex](x_2,y_2) = (2,12)[/tex]

[tex]12 = ab^{2-1[/tex]

[tex]12 = ab[/tex]

Substitute [tex]a = 4[/tex]

[tex]12 = 4b[/tex]

Divide both sides by 4

[tex]3 = b[/tex]

[tex]b =3[/tex]

Recall that:

[tex]y = ab^{x-1}[/tex]

So, we have::

[tex]y = 4(3)^{x-1}[/tex]

Express as a function of n

[tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex]

Substitute 5 for n, to calculate the 5th term

[tex]\mathbf{f(5) = 4(3)^{5-1}}[/tex]

[tex]\mathbf{f(5) = 4(3)^4}[/tex]

[tex]\mathbf{f(5) = 324}[/tex]

Hence, option (d) is correct

Read more about exponential functions as:

https://brainly.com/question/11487261

which expression is equivalent to 2^3 square root x^2 • square root 16x if x > 0

Answers

Answer:

A

Step-by-step explanation:

The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}

The expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

What is an Expression?

An expression is a mathematical statement that consists of variables, constants, and mathematical operators.

The expression is [tex]\rm 2\sqrt[3]{x^2} . \sqrt{16x}[/tex]

The expression can be simplified as

[tex]\rm = 2 . 4 x^{2/3} x^{1/2}\\\\\=8 x ^{ 7/6}\\\\\\ = 8x x^{1/6}\\\\= 8x \sqrt[6]{x}[/tex]

Therefore, the expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

Triangle GHJ with vertices G(-2,4), H(3,6), and J(3,-2) is dilated by a factor of centered at the origin. What are the coordinates of G' after the dilation? 63,4) (2,4) . 3) O 12 2 3 3 3 (3,-4)​

Answers

Answer:

The answer would most likely be the second one because that one makes the most sense here.

Step-by-step explanation:

When a triangle is dilated, the size of the triangle changes.

The coordinate of G' after dilation is: (a) [tex]\mathbf{(-\frac 23,\frac 43)}[/tex]

The vertices are given as:

[tex]\mathbf{G = (-2,4)}[/tex]

[tex]\mathbf{H = (3,6)}[/tex]

[tex]\mathbf{J = (3,-2)}[/tex]

The scale factor (k) is given as:

[tex]\mathbf{k =\frac 13}[/tex]

So, the image of G is calculated as:

[tex]\mathbf{G' = k \times G}[/tex]

This gives:

[tex]\mathbf{G' = \frac 13 \times (-2,4)}[/tex]

[tex]\mathbf{G' = (-\frac 23,\frac 43)}[/tex]

Hence, the coordinate of G' after dilation is: (a) [tex]\mathbf{(-\frac 23,\frac 43)}[/tex]

Read more about dilations at:

https://brainly.com/question/13176891

32 times 49302019284848484

Answers

The answer would be 1.577664617x10^18
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