1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatiyna
3 years ago
15

The expression 27 + 45 as a product using the GCF and distributive property.

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

(a) By Greatest Common Factor:   (27 + 45 ) = 3( 9 + 15)

(b) By distributive property:   (27 + 45 )  = 9(3) +  9(5)

Step-by-step explanation:

Here, the given expression is 27 + 45 .

Now, by Prime Factorization:

27 = 3 x 3 x 3

45 = 3 x 3 x 5

Here, the 3 is the ONLY prime common factor.

So, the Greatest Common Factor = 3

⇒ (27 + 45 ) = 3( 9 + 15)

Hence, by  Greatest Common Factor:   (27 + 45 ) = 3( 9 + 15)

Now, by distributive property:

A( B + C)  = AB + AC

Here, in the given expression:

(27 + 45 ) = 9 ( 3 + 5)  = 9(3) +  9(5)

or, (27 + 45 )  = 9(3) +  9(5)

Hence, by distributive property:   (27 + 45 )  = 9(3) +  9(5)

You might be interested in
A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of  700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We  calculate the  acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2     where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a =  75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

8 0
3 years ago
1 million + 1 million​
natka813 [3]

Answer: 200,000,000 or 2 million

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Add:
True [87]

Answer:

1. -195

2.-771

3. 2

1. 9

2.-3

3. -10

4. 205

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which value of x makes the equation true?
Gnesinka [82]

Answer:

C. x=8.5

Step-by-step explanation:

-18+3x+x=-2(2x-25)

-18+4x=-4x+50

   +4x   +4x

-18+8x=50

+18      +18

8x=68

8    8

x=8.5

5 0
3 years ago
A metal bar weighs 8.15 ounces. 93% of the bar is silver. how many ounces of silver are in the bar
Zielflug [23.3K]
7.5795 ounces of the bar are silver.
8 0
3 years ago
Other questions:
  • What is the value of a
    7·1 answer
  • The amount of time t it takes for a group of volunteers to clean up a park varies inversely with the number of volunteers v. If
    9·2 answers
  • A giant tortoise can walk about 1/10 meters per second on land. A cooter turtle can walk about 1/2 meter per second on land. How
    13·1 answer
  • Write the expression represented by the statement “7 times the sum of 2 and x.” Identity the factors in the expression.
    15·1 answer
  • Set of knives for $125 for 40% off plus 6% sales tax.
    14·2 answers
  • Could someone walk me through this problem please?
    14·1 answer
  • Doreen went to see her favorite sports team play. Her car can go 120 miles on one tank of gas. If she used 30% of a full tank of
    14·2 answers
  • A cube has edges measuring 5 inches. Find the surface area of the cube.
    11·1 answer
  • What is my profile picture? Guess it right for brainliest <br> Start guessing!
    8·1 answer
  • Lesson 1-1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!