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V125BC [204]
4 years ago
7

Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In orde

r to maintain this exact average, what must be Marlon's score for his 6th game?
Mathematics
1 answer:
yawa3891 [41]4 years ago
3 0

Answer:

By scoring 240 in the sixth game, Marlon can maintain this exact average

Step-by-step explanation:

The first thing to do here is to calculate the average for the first 5 games.

Mathematically, the average can be calculated by adding all the scores in the games and dividing by 5;

= (210 + 225 + 254 + 231 + 280)/5 = 1200/5 = 240

Now to maintain this average score of 240, we want to know the score she must have in the 6th game.

Let the score be x;

By adding x to the previous total of 1200 before and dividing by the new count of 6, we can work our way to get x.

Mathematically, what we are saying is;

(1200 + x)/6 = 240

6 * 240 = 1200 + x

1440 = 1200 + x

x = 1440 -1200

x = 240

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Ivenika [448]

Answer:

–√(7) must also be a root of f(x)

Step-by-step explanation:

Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:

f(x) = (x – 3)(x² – 7)

This is because we are dealing with √(7) and what brought about √(7) was x² = 7.

If this is the case, we know that x² = 7 will give

x = ±√(7)

Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).

4 0
3 years ago
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Lana71 [14]

Answer:the distance between the two cities is 100 miles

Step-by-step explanation:

Let x represent the distance between New York and Philadelphia.

Let t represent the time it takes to travel from New York to Philadelphia at 50 mph

Distance speed × time

time = distance/speed

To travel from New York to Philadelphia at 50 mph,

x = 50t

it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that

x = 60(t - 1/3) = 60t - 20

Since the distance is the same,

60t - 20 = 50t.

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t = 20/10 = 2

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8 0
4 years ago
Find the missing side length<br><br><br> CAN SOMEONE PLEASE HELP ME?<br> PLEASEEEEE!!!
Ganezh [65]

Answer:

13.31803792

Step-by-step explanation:

<u>Law of Cosines</u>

a= 8

b= 18

c= ?

c^2=a^2b^2-2ab*cos(c)

c^2=8^2-18^2-2*8*18*cos(43)

c = 64 + 324 - 2 * 8 * 18 * cos(43)

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<u>Order of Operations</u>

64 + 324 - 2 * 8 * 18 * 0.7313537016 = 177.3701339

<u>Square Root the answer</u>

\sqrt{177.3701339} = 13.31803792

4 0
3 years ago
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5800 dollars is placed in an account with an annual interest rate of 9%. To the nearest tenth of a year, how long will it take f
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Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min, and its coarseness is such that it forms a pile in the shap
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Step-by-step explanation:

Explanation with steps is in the following attachment

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