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2 years ago

What is the fully factored form of the expression 45x²y2 + 18x3

Mathematics

1 answer:

Llana [10]2 years ago

4 0

Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).

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It seems about right

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3 years ago

A 5 pound Cartoon Clementine oranges is priced at $4.30 what is the price per pound of Clementine oranges

Y_Kistochka [10]

Answer:

The answer to your question is 0.86.

Step-by-step explanation:

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2 years ago

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What is 10 times as much as 130

Rasek [7]

10 times as much as 130 is 1300

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3 years ago

How can this product be simplified 8p(-2p^2+6p-2)

Nikitich [7]

Answer:

-16p³ + 48p² - 16p

Explanation:

In order to simplify the given expression, we need to multiplied 8p with (-2p²+6p-2)

8p*(-2p²+6p-2)

we need to distribute 8p over the brackets or parenthesis.

=8p*(-2p²) + 8p*(6p) + 8p*(-2)

= 8*(-2)*p*p² + 8*6p*p + 8*(-2)* p

= -16p³ + 48p² - 16p

We can't simplify it more, so that's the final answer.

I hope it's help.

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3 years ago

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Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.

podryga [215]

Answer:

Explanation:

1. Cost of each liter of yellow paint:

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

2. Cost of each liter of blue paint:

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

3. Cost of each liter of green paint.

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint: 3 liter × £4.8 / liter = £14.4

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

5 liters green paint: 5 liter £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

4. Profit

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%

4 0

3 years ago