3 years ago

Use prime factorization to find the GCF of 140 and 180

Mathematics

2 answers:

Ierofanga [76]3 years ago

8 0

Answer:

Step-by-step explanation:

Kisachek [45]3 years ago

7 0

Answer:

Step-by-step explanation:

Common Factor (GCF) is: 2 x 2 x 5 = 20

You might be interested in

5x-4x+3=4x-12<br> A)4<br> B)5<br> C)-5<br> D)-4

slavikrds [6]

Answer:

B.) 5

Hope this helps :)

Step-by-step explanation:

5x - 4x + 3 = 4x - 12

x + 3 = 4x - 12

+12 +12

x + 15 = 4x

-x -x

15 = 3x

x = 5

6 0

3 years ago

Read 2 more answers

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t

Roman55 [17]

When the ball is first dropped, it falls $h$ feet. On the first bounce, it rebounds $0.81h$ feet, which means on the second "drop" it must travel $0.81h$ feet again. On the second bounce, the ball rebounds $0.81(0.81h)=0.81^2h$ feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

$\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh$
$\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh$

The total distance is the sum of these two:

$\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n$

Recall that for an infinite geometric sum, you have

$\displaystyle\sum_{n=0}^\infty r^n=1+\sum_{n=1}^\infty r^n=\frac1{1-r}$

provided that $|r|$ . So the total distance traveled by the ball is

$h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h$

Starting with a height of $h=16$ means the total distance is about 152.42 ft.