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Brrunno [24]
2 years ago
10

Prove that the value of the expression: (125^2+25^2)(5^2-1) is divisible by 39

Mathematics
2 answers:
slavikrds [6]2 years ago
7 0

Answer:

10000*39

Step-by-step explanation:

Simplify the equation fully.

(125 + 25)(5 - 1)

(15625 + 625)(25 - 1)

(16250)(24)

390000

Divide the answer by 39

390000/39 = 10000

babymother [125]2 years ago
3 0

Answer:

10000 * 39

Step-by-step explanation:

(125^2+25^2)(5^2-1)

Rewriting

(5^3^2+5^2^2)(5^2-1)

We know that a^b^c = a^ ( b*c)

(5^(3*2)+5^(2*2))(5^2-1)

(5^6+5^4)(5^2-1)

Factor out 5^4

5^4( 5^2 +1)(5^2-1)

5^4 ( 26) (24)

Factor

5^4 ( 13*2) (3*8)

Rearrange the order

5^4 ( 13*3) (2*8)

5^4 *39 *16

625 * 16 * 39

10000 * 39

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Answer:

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Step-by-step explanation:

7 0
2 years ago
Mr. Granville needs some plywood that is about three over four-inch thick. Which plywood is closest to three over four-inch thic
Makovka662 [10]

Answer:

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

Step-by-step explanation:

we have

3/4 in

Verify each value

case A) 13/16 in

we know that

3/4 in=12/16 in ----> multiply by (4/4)

Find the difference

13/16-12/16=1/16 in

case B) 11/32 in

we know that

3/4 in=24/32 in ----> multiply by (8/8)

Find the difference

24/32-11/32==13/32 in

case C) 1/2 in

we know that

1/2 in=2/4 in ----> multiply by (2/2)

Find the difference

3/4-2/4=1/4 in

case D) 3/8 in

we know that

3/4 in=6/8 in ----> multiply by (2/2)

Find the difference

6/8-3/8=3/8 in

<em>Compare the values of the difference and find the less value</em>

we have

case A) 1/16=2/32 in

case B) 13/32 in

case C) 1/4=8/32 in

case D) 3/8=12/32 in

The less value is case A) 2/32 in

therefore

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

4 0
3 years ago
The answers is what I got but it said it was wrong. can anyone hhelp find the right answer?​
klio [65]

Answer:

but its right

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How do I solve b/4 = 9
frutty [35]
<span>Simplifying b4 = 9 Solving b4 = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Simplifying b4 = 9 Reorder the terms: -9 + b4 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + b4 = 0 Factor a difference between two squares. (3 + b2)(-3 + b2) = 0</span>
8 0
3 years ago
Read 2 more answers
What does a proportion look like?
AURORKA [14]

A proportion looks like this:

a\div b = c\div d

It means that the quantity a,b,c and d are in the same proportion: the ratio between a and b is the same ratio between c and d.

They are particularly useful in situation when you have an example given, and you want to extrapolate the relationship for another couple.

For example, you can think of the following problem: "Five apples cost 2 dollars. How much will 8 apples cost?"

You can build the proportion

5\div 2 = 8\div x

And then solve it for x:

\dfrac{5}{2}=\dfrac{8}{x} \iff 5x=16 \iff x = \dfrac{16}{5} = 3.2

6 0
2 years ago
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