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
Paul [167]
2 years ago
5

Prove that the value of the expression (16^3–8^3)(4^3 +2^3) is divisible by 63.

Mathematics
1 answer:
Darya [45]2 years ago
7 0

Answer:

Step-by-step explanation:

16^3 - 8^3

Take out 8^3 as a common factor.

16^3 = 2^3 * 8^3

8^3(2^3 - 1)  

8^3(8 - 1) = 8^3 * 7

(4^3 + 2^3)     Expand

64 + 8            Combine

72

72 = 9 * 8

Conclusion

(8*3 * 7 )(9*8)

7*9 = 63

So any number containing 63 will divide into the reduced form of

(16^3–8^3)(4^3 +2^3)

You might be interested in
Find the volume for a can of corn with a diameter of 3 inches and a height of 6 inches
mixas84 [53]
The answer is D (42.39 cubic inches)
4 0
3 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
OleMash [197]

Answer:

X=3

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

4 0
3 years ago
9.6x10^85/3x10^63 in scientific notation
Novosadov [1.4K]

Answer:

<em>3.27*10^22</em>

Step-by-step explanation:

Given the expression 9.6x10^85/3x10^63, we are to write it on scientific notation as shown:

9.6x10^85/3x10^63

= (9.8/3) * (10^85/10^63)

= (9.8/3)  * 10^{85-63}

= (9.8/3) *10^22

= 3.27 *10^22

<em>Hence the expression in scientific notation is  3.27*10^22</em>

6 0
2 years ago
What is 13.235 rounded to nearest hundredth
egoroff_w [7]
Answer to your question is 13.24
5 0
3 years ago
Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
Ostrovityanka [42]
We have that an inverse variation in a function is given by:
 y = k / x&#10;
 We must find the value of the constant k.
 To do this, we substitute the values of x1 = 12, y1 = 15.
 We have then:
 15 = k / 12&#10;
 Clearing k we have:
 k = (15) * (12)&#10;&#10;k = 180
 Substituting the value of k we have that the inverse variation is:
 y = 180 / x&#10;
 For y2 = 3 we have:
 3 = 180 / x2&#10;
 Clearing x2 we have:
 x2 = 180/3
 x2 = 60
 Answer:
 
x2 = 60
3 0
3 years ago
Other questions:
  • NEED HELP FAST!!!
    5·1 answer
  • What is 7200 minutes, in days? (Remember, there are 60 minutes in an hour and 24 hours in a day.)
    14·1 answer
  • The sum of two numbers is 7 and the diffrence is 5
    13·2 answers
  • What is the correct answer for -16 = -8(n - 6)
    6·2 answers
  • Solve the equation 2a+b=2a, where a and b are nonzero, real numbers. Describe the solution to this equation and justify your des
    6·1 answer
  • For the geometric series 1 + 3 + 9 + 27 + . . . , find the sum of the first 10 terms.
    15·2 answers
  • Angle r° = 2w°. What is the measure of angle r°?
    8·1 answer
  • Determine the truth value of each statement based on the expression.
    8·1 answer
  • Solve the linear equation<br> 5x-10y=-5
    9·1 answer
  • PLSSSS PSL PLS PLS HELP Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. Ho
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!