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trasher [3.6K]
2 years ago
7

What is the GCF of these 2 numbers : 120 and 60

Mathematics
2 answers:
Bond [772]2 years ago
8 0

Answer:60

Step-by-step explanation: 60 is the biggest # you can divide both numbers by.

Hunter-Best [27]2 years ago
6 0

Answer:

60

Step-by-step explanation:

find the prime factorization of 60

60 = 2 × 2 × 3 × 5

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3 × 5

GCF = 60

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eimsori [14]
Yes your answer is correct
5 0
2 years ago
Read 2 more answers
1011+111 in binary form
Ann [662]

Answer:

10010

Step-by-step explanation:

1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0

111=1(2)^2+1(2)^1+1(2)^0

So 1011+111 gives us:

1(2)^3+0(2)^2+1(2)^1+1(2)^0

+

1(2)^2+1(2)^1+1(2)^0

-----------------------------------------------------

Combine like terms:

1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0

1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace 2^0 with 1 and 2 with (2)^1:

1(2)^3+1(2)^2+(2)^2+(2)^1(1)

I want a 2^0 number:

1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0

Combine like terms:

1(2)^3+2(2)^2+1(2)^1+0(2)^0

2(2)^2=2^3:

1(2)^3+2^3+1(2)^1+0(2)^0

Combine like terms:

2(2)^3+1(2)^1+0(2)^0

We can rewrite the first term by law of exponents:

2^4+1(2)^1+0(2)^0

1(2)^4+1(2)^1+0(2)^0

So the binary form is:

10010

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

      1     0     1      1

+            1      1      1

------------------------------

     (1)    (1)    (1)

      1     0     1      1

+            1      1      1

------------------------------

     1 0    0     1       0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0
3 years ago
Complete the point-slope equation of the line through (-8,-8) and (-7,9)
denis23 [38]

Step-by-step explanation:

point slope formula: y-y1=m(x-x1)

m= y2-y1/x2-x1

input numbers

so slope:

m=(9--8)/(-7--8)

(-)×(-)=+

(+)×(-)=(-)

so m=17/1

m=17

now point slope

y--8=17(x--8)

y+8=17x+136

to get y alone we have to use opposite operations

y and 8 are adding so we need to subtract on both sides

y+8-8=17x+136-8

y=17x+128

5 0
2 years ago
A jar made of 3/16-inch-thick glass has an inside radius of 3.00 inches and a total height of 6.00 inches (including the bottom
Nady [450]

Answer:

a) 0.012ft³

b)2.09 lb

c)0.791 lb

d) 0.012ft³

e) 6 inches

Step-by-step explanation:

a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

V=3.1416\cdot{h}\cdot{(R^2-r^2)

Where r is the inside radius and R the outer radius.

V=3.1416\cdot{6}\cdot{(3.1875^2-3^2)=21.87

convert to cubic ft:

=21.87\cdot{0.0005787}=0.01266

The volume of the glass shell is 0.012 ft³

b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

M=p\cdot{v}=165\cdot{0.01266}=2.09

The weight of the jar is 2.09 lb

c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

=0.01266\cdot{62.5}=0.79

0.791 lb of water will be displaced.

d) The volume of the water displaced is:

[tex]=0.791/62.5=0.01266

e) The jar will be fully submerged because the density of the jar is larger than water.

5 0
3 years ago
I need help please explain your work for number 7 only
Keith_Richards [23]

Answer:

Transitive property

Step-by-step explanation:

When a=c and b=c, a=b

A would be 16+43

B would be 59

C would be 10+49

5 0
2 years ago
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