$\dfrac{c^2-4}{6c^4+15c^3}\div\dfrac{c^2+4c+4}{12c^3+30c^2}=\dfrac{c^2-2^2}{3c^3(2c+5)}\div\dfrac{c^2+2(c)(2)+2^2}{6c^2(2c+5)}\\\\_{\text{use}\ a^2-b^2=(a-b)(a+b)\ \text{and}\ (a+b)^2=a^2+2ab+b^2}\\\\=\dfrac{(c-2)(c+2)}{3c^3(2c+5)}\cdot\dfrac{6c^2(2c+5)}{(c+2)^2}=\dfrac{(c-2)}{c}\cdot\dfrac{2}{(c+2)}=\boxed{\dfrac{2(c-2)}{c(c+2)}}$

6 0

3 years ago

Least common denominator of 1/10 and 3/5

Alisiya [41]

Answer:

It's 10

Step-by-step explanation:

10 can be divided by five and 5 can also be divided by five and it's the least number that can be divided by five.

6 0

3 years ago

Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the n

AlexFokin [52]

Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

7 0

2 years ago

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by

Zigmanuir [339]

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

$\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12$

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

5 0

3 years ago