What is the answer to 3/5 x 10/21 in simplest form???

Answers

Answer 1
Answer:

The product of two fractions is 2/7.

What is the product of two fractions?

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their numerators / Product of their denominators

The given expression is 3/5 × 10/21.

Now, (3×10)/(5×21)

= (1×2)/(1×7)

= 2/7

Therefore, the product of two fractions is 2/7.

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Answer 2
Answer: First, let's make this easier. Think of 3/5 multiplied by 10/21 as different multiplication problems. First, you should multiply the numerators then the denominators. But before we actually multiply, we can cross simplify.

3       10
_        _ 
5        21    3 divided by 3= 1. 21 divided by 3 is 7. Then you can cross simplify                   again. 5 divided by 5 is 1. 10 divided by 5 is 2. So your                                   multiplication problem has now been put into simpler terms and                       smaller numbers. This makes it easier to solve so you don't have                     to multiply such big numbers together. 


Your new much simpler multiplication problem is 1/1 multiplied by 2/7. Your answer is 2/7 and it has been put into simplest form. 

(Sorry the explanation is so long. Hope this helps!)


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Subtracting polynomials

Answers

The solution is 10x² + 7x - 1

Step-by-step explanation:

  • Step 1: Subtract -2x² + 3x - 9 from 8x² + 10x - 10

(8x² + 10x - 10) - (-2x² + 3x - 9) = 8x² + 10x - 10 + 2x² - 3x + 9

                                                 = 10x² + 7x - 1

Step-by-step explanation:

\huge\bold\purple{   10x^2+7x-1      }

Trees are planted along a road that is 2 kilometers 50 meters long. Elven trees are planted at an equal distance apart along the road. What is the distance in meters between each tree?

Answers

Dear Lallenbrett, let's find the kilometers in meters which is 2,050 meters. Since there are 10 spaces in between, we do 2050/10= 250 meters in between each tree.

Final answer:

The distance between each tree planted along the 2 kilometers and 50 meters road is 205 meters. This is achieved by dividing the length of the road (2050 meters) by the number of spaces between the trees (10).

Explanation:

To solve this problem, first, we need to understand that a kilometer is equal to 1000 meters. Therefore, 2 kilometers 50 meters is equal to 2050 meters. Given that the 11 trees are planted at an equal distance apart along the 2050 meter road, we would have to divide the total road length by the number of spaces between the trees. The number of spaces is always one less than the number of trees, so we have 11-1 = 10 spaces. Therefore, the distance between each tree is 2050 meters divided by 10, which equals to 205 meters.

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Confused, and there's a test tomorrow. "Write (5+ 2yi) (4-3i)- (5-2yi) (4-31) in a a + bi form, where y is a real number"

Answers

Answer:

  12y +16yi

Step-by-step explanation:

The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.

Here, we assume you have ...

  (5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)

The factor (4 -3i) can be factored out, so you have ...

  = ((5 +2yi) -(5 -2yi))(4 -3i)

  = (4yi)(4 -3i)

  = 16yi -12yi²

At this point, the definition of i comes into play, and you replace i² with -1.

  = 12y +16yi

What is the volume of a rectangular prism with length 90 cm, height of 70 cm, and the width of 40 cm?

Answers

volume=Legnth times width times height
legnth=90
height=70
width=40
volume=90 times 40 times 70
volume=3600 times 70
volume=252000


answer is v=252,000 cm^3
V= whl

252000
40 x 70 x 90 = 252000

Un dreptunghi are perimetrul 420m. Lungimea este de 4ori mai mare decât latimea. Aflati lungimea si latimea dreptunghiului?

Answers

your answer is 422 because you have to add

Original price is $125 Discount is ???
Sale price is $81.25

What is the discount please explain

Answers

$125-$81.25 =$43.75 so that is how much was saved. Now figure what percentage $43.75 is of $125. so $43.75÷$125=.35 and changing to % the discount is 35%