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prisoha [69]
2 years ago
14

What is the LCM of 5xy and 10y² ? ​

Mathematics
2 answers:
oksian1 [2.3K]2 years ago
7 0

Answer:  10xy²

We can type 10xy^2 to mean the same thing.

==========================================

Explanation:

The LCM of the coefficients 5 and 10 is 10. Note how 5 is a factor of 10.

For the variable portions, you select the terms that are unique and have the highest exponent. We have an x term with exponent 1 and y term with exponent as high as 2. So that's why we go with xy² as the variable portion.

Overall, we end up with an LCM of 10xy²

AlexFokin [52]2 years ago
4 0
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).

STEP
1
:
Equation at the end of step 1

((5 • (x2)) - 5xy) - (2•5y2)
STEP
2
:

Equation at the end of step
2
:

(5x2 - 5xy) - (2•5y2)
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

5x2 - 5xy - 10y2 = 5 • (x2 - xy - 2y2)

Trying to factor a multi variable polynomial :

4.2 Factoring x2 - xy - 2y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x + y)•(x - 2y)

Final result :
5 • (x + y) • (x - 2y)
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1. Calculate the simple interest over an amount of N$ 2500 that is invested for 3 years and 6 months at a rate of 7% pa.​
Umnica [9.8K]

Answer:

N$  612.5

Step by step explaination:

Given,

Principal or'P'=N$2500

Time or'n'=3 years & 6 months or 3.5 years

Rate of profit or 'r'=7% or 7/100

Profit or 'I'=?

_____________________________________

We know,

I=P*n*r

I=2500*3.5*7/100

I=612.5

So,simple interest is N$  612.5.

3 0
3 years ago
A bookseller bought 20 pencils at Rs 4.50 each and sold them at Rs 5.75 each. What i total profit? ​
WITCHER [35]
<h3>Answer:    Rs  25</h3>

Explanation:

Each pencil has a profit of Rs 1.25 since \text{revenue} - \text{cost} = 5.75 - 4.50 = 1.25

Multiply that result with 20 to get the final answer shown above in bold.

7 0
11 months ago
a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is
OLga [1]

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

5 0
3 years ago
The letters of the word ATLANTIC are put in a bag. What is the probability of
gladu [14]

Answer:

5/8

Step-by-step explanation:

A T L A N T I C

8 letters, 3 vowels, 5 consonants

5 consonants out of 8 letters = 5/8

7 0
3 years ago
Read 2 more answers
Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $60.00 8% ? The sa
BlackZzzverrR [31]

Answer: Sales tax is $4.80 and the total cost is $64.80

Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.

To get $4.80, find the sales tax of $60.00 of 8%

We can use this formula: (selling price x sales tax rate)

The sales tax is: $4.80

To find the total cost, add 60.00 by the sales tax. ($4.80)

60.00 + 4.80 = $64.80

Therefore, these are your answers: $4.80 and $64.80

7 0
2 years ago
Read 2 more answers
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