A bike path is 5 3/4 miles long. the city makes it 3 1/2 times longer. what is the length of the completed bike path?

qaws [65]

Divide each by 2
40= 20
144= 72
Divide by 2 again
20=10
72=36
Divide by 2 one more time
10=5
36=18
Ans= 5:18

3 0

3 years ago

helppppppppppppppp meeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz brainliest whoever gets it right fir

STALIN [3.7K]

Answer:

4.2 miles

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Make x the subject of m=n+x/3

k0ka [10]

Answer:

x=3m-n

Step-by-step explanation:

Isolate x.

3m=n+x

3m-n=x

x=3m-n

3 0

3 years ago

Team A and Team B play each other in a best out of 7 tournament. So the team that wins 4 games first wins the tournament. How ma

JulijaS [17]

Answer:

There are 35 ways.

Step-by-step explanation:

Consider the provided information.

In order to find the number of possible sequences we have few case:

Case I: If team A will win all 4 games without losing any match.

A A A A

There is only 1 way as you can see, Because after winning 4 games in a row no need to play again.

Case II: If team A will win 4 games out of 5 games.

A A A B A, or A A B A A, or A B A A A, or B A A A A,

Remember A A A A B this is not going to include.

That means there are 4 possible ways if team B win one match.

Case III: If team A will win 4 games out of 6 games.

It means team A needs to win 3 games from first 5 games so that after wining 6th match they win the tournament.

So the number of ways are $\frac{5!}{3!2!}=10$

That means there are 10 possible ways if team B win two match.

Case IV: If team A will win 4 games out of 7 games.

It means team A needs to win 3 games from first 6 games so that after wining 7th match they win the tournament.

So the number of ways are $\frac{6!}{3!3!}=20$

That means there are 20 possible ways if team B win three match.

Thus, the total number of ways are: 1 + 4 + 10 + 20 = 35

Hence, there are 35 ways.

3 0

3 years ago

F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over

mel-nik [20]

Answer:

$A(x) = 243$

Step-by-step explanation:

Given

$f(x) = x^3 - 9x$

$Interval: (12,6)$

Required

Determine the average rate of change

Average rate is calculated as thus;

$A(x) = \frac{f(b) - f(a)}{b - a}$

In this case; b = 12 and a = 6

Calculating f(12)

$f(12) = 12^3 - 9 * 12$

$f(12) = 1728 - 108$

$f(12) = 1620$

Calculating f(6)

$f(6) = 6^3 - 9 * 6$

$f(6) = 216 - 54$

$f(6) = 162$

Substitute 12 for b and 6 for a in $A(x) = \frac{f(b) - f(a)}{b - a}$

$A(x) = \frac{f(12) - f(6)}{12 - 6}$

Substitute values for f(6) and f(12)

$A(x) = \frac{1620 - 162}{12 - 6}$

$A(x) = \frac{1458}{ 6}$

$A(x) = 243$

4 0

3 years ago