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
viva [34]
3 years ago
15

Prove that: 5^31–5^29 is divisible by 100.

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

Consider the expression

5^{31}-5^{29}

First, factor it:

5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}

Note that

100=25\cdot 4

Then

5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}

This shows that number 100 is a factor of the expression 5^{31}-5^{29} and, therefore, this expression is divisible by 100.

You might be interested in
4/7×3/4 in simplest form
vlabodo [156]
4/7 × 3/4
(4 and 4 are cancelled )
7×3
the answer is 21
3 0
3 years ago
The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represent
lisabon 2012 [21]
Well area of a rectangle is given by the equation

a = L x W

Since they give us the expression for length and width we can find the expression for the area...

a = (3x - 4) x (2x - 5) or simply
a = (3x -4)(2x - 5)

Now we multiply

6x^2 - 15x - 8x + 20 =
6x^2 - 23x + 20

Your answer is C.
8 0
3 years ago
Help please need this answer
fredd [130]

Answer:

(5,4) is the solution

Step-by-step explanation:

2x + y = 14 --> y = -2x + 14

Substitute y = -2x + 14 into 3x - 2y = 7


3x - 2( -2x + 14) = 7

3x + 4x - 28 = 7

7x = 35

x = 5

y = -2(5) + 14

y = -10 + 14

y = 4

Answer (5 , 4)

7 0
3 years ago
Read 2 more answers
Diane has 496 beads and Linda has 286 beads.
julia-pushkina [17]

Answer: 210 fewer beads.

Step-by-step explanation: All you have to do is subtract the amount Diane has by Linda. And the answer you get is how many less beads Linda has. She has 210 fewer beads than Diane from 7ds (7ds is an anime lol and Diane is a character just a joke).

6 0
2 years ago
Can u pls help me with this question ​
Shalnov [3]

Answer:

A, C, D

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Which one of the following is not equal to 100 meters? 0.100 kilometers 10 hectometers 10,000 centimeters 100,000 millimeters
    6·1 answer
  • SHOW UR WORK PLEASE IM LTERALLY CRYING
    9·1 answer
  • Which ordered pair is the solution to the system of equations?
    10·1 answer
  • What is the answer for this fraction is 1+20×5
    5·1 answer
  • You work as a health inspector and must visit each of the 15 restaurants in town once each week. In how many different orders ca
    9·1 answer
  • Please help me I will give you all my points
    15·2 answers
  • I will give brainliest if you answer all correctly ​
    8·1 answer
  • Cheryl had 22 charms. She used C charms to make a bracelet then she went to the store and bought 14 more charms. Now she has 25
    9·2 answers
  • HELP WILL MARK BRAINLIEST TO BEST ANSWER!!!!!!!!<br> I NEED ASAP
    5·1 answer
  • D=√(-4-42.78)^2 + (3-44.78)^2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!