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3 years ago

What is the simplified expression for 5^4 times 5^3/5^5

Mathematics

2 answers:

const2013 [10]3 years ago

5 0

$5^{4} * \frac{5^{3} }{5^{5}} = 5^{4} * \frac{1}{5^{2}} = \frac{5^{4}}{5^{2}} = 5^{2}$

jarptica [38.1K]3 years ago

3 0

Hello!

To simplify the expression, you'll first need to power each of the numbers by their exponent. Once you've done that you should have...

625*125/3125 or 625*0.04

I hope this helps!

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2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050

Alborosie

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

$y = x( \frac{z {}^{1} + {z}^{n} }{2} )$

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

$y = 20( \frac{5 + 100}{2} )$

$y = 20( \frac{105}{2} )$

$y = 1050$

5 0

2 years ago

2x+12=6x-12 show all work

kenny6666 [7]

First off we want to combine "like-terms"
1. Subtract 6x , so it will look like this: 2x-6x+12=-12
2. Subtract the -12 from the first side so it looks like 2x-6x=-12-12
3. Combine like terms. So: -3x=-24 . The negatives will cancel out when dividing 24/3.

The final answer is 8 after dividing. Hope this helped!

6 0

2 years ago

If a home goods retailer pays $35.50 for the vacuum cleaner shown here, answer the following questions. (Round dollars to the ne

Marianna [84]

The Markup percentage is mathematically given as

M=42%

<h3>What is Mark up percentage?</h3>

The markup % may be determined by dividing the gross profit of a unit (the difference between its sales price and the amount it cost to create or buy for resale) by the amount that unit originally cost. If a product sells for $12 but only costs the corporation $8 to produce it, the markup percentage for that product is 50%, which can be calculated as (12 - 8) divided by 8.

Generally, the equation for is Total cost price mathematically given as

TCP= Pay+insurance

Therefore

TCP=35.5*1.6

TCP=284/5

Generally, the equation for is Total selling price mathematically given as

TSP=89.99+7.99

TSP=97.98

In conclusion, Mark up percentage is

$M=\frac{SP-CP}{SP}*100\\\\$

$M= \frac {97.98 - (284/5) }{97.98} *100$

M=0.4202898551*100

M=42%

Read more about Mark up a percentage

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3 0

1 year ago

In ABC, centroid D is on median AM. AD = x + 5 and DM = 3x – 5. Find AM

Sindrei [870]

Answer

Find out the value of AM.

To prove

As given

In ABC,

centroid D is on median AM.

AD = x + 5 and DM = 3x – 5.

By using the centroid property

The centroid divides each median in a ratio of 2:1.

Thus D divide the median AM in a ratio of 2:1.

Therefore

(AD) = 2DM

(x + 5) = 6x – 10

5x = 15

$x = \frac{15}{5}$

x = 3

Now

AM = 3+ 5

= 8 unit

DM = 3 × 3- 5

= 4 unit

AM = AD + DM

= 8 + 4

AM = 12 unit

Therefore the AM is 12 unit.

4 0

3 years ago

Read 2 more answers

How to solve this question

Ierofanga [76]

Answer:

D) 60°

Step-by-step explanation:

Because TV and YZ are parallel, and TY and VZ are equal, angle T is equal to angle V. Also, Y and Z would each be 120°.

4 0

2 years ago

Read 2 more answers