As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely......

$60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3$

The common factors are: 2, 2 and 3

Thus the GCF $= 2*2*3=12$

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

b.

For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So...

Number of pieces for blue cloth $=\frac{60}{12}=5$

Number of pieces for gold cloth $=\frac{48}{12}=4$ and

Number of pieces for white cloth $=\frac{72}{12}=6$

4 0

2 years ago

A train leaves the station at 9:00 pm traveling east at 36 miles per hour. A second train leaves the station at 10:00 pm traveli

GrogVix [38]

X - hours that passed after 10 pm

(x+1) 36 = x * 42 | / 6
(x+1)6 = 7x
6x+6 = 7x |-6x
x=6

They will travel same distance at 4 am.

4 0

2 years ago

Read 2 more answers

On a coordinate plane, an image rectangle has points (negative 5, 0), (5, 0), A prime (5, negative 5), (negative 5, negative 5).

aev [14]

Answer:(5/3,5/3)

Step-by-step explanation: I did the test ;D

6 0

2 years ago

Read 2 more answers

Evaluate. 4^3⋅(100÷25)−5^0 Enter your answer in the box.

astraxan [27]

4³ ⋅ (100 ÷25) − 5^0

[parenthesis goes first, then exponents]

[any coefficient with zero exponent is equal to 1]

64 · 4 - 1

[multiplication, then subtraction]

256 - 1

255

4 0

2 years ago

Opposite rays form a?lineraypointplane​

Opposite rays form a?lineraypointplane