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ELEN [110]
3 years ago
6

2/3 to 3/2 ratio in simplest form

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

2/3 : 3/2 = 4 : 9

Step-by-step explanation:

LCD(2/3, 3/2) = 6

2/3 : 3/2 = 4/6 : 9/6

Our two fractions now have like denominators so we can multiply both by 6 to eliminate the denominators.

2/3 : 3/2 = 4 : 9

The GCF of 4 and 9 is 1

Divide both terms by the GCF, 1:

4 ÷ 1 = 4

9 ÷ 1 = 9

The ratio 4 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

Therefore:

2/3 : 3/2 = 4 : 9

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The nth term of a sequence is given by 3n² + 11 Calculate the difference between the 6th term and the 9th term of the sequence.​
katovenus [111]

The difference between the 6th term and the 9th term of the sequence is 135

<h3>How to determine the difference</h3>

Given that the nth term is;

3n² + 11

For the 6th term, the value of n is 6

Let's solve for the 6th term

= 3( 6)^2 + 11

= 3 × 36 + 11

= 108 + 11

= 119

For the 9th term, n = 9

= 3 (9)^2 + 11

= 3( 81) + 11

= 243 + 11

= 254

The difference between the 6th and 9th term

= 254 - 119

= 135

Thus, the difference between the 6th term and the 9th term of the sequence is 135

Learn more about algebraic expressions here:

brainly.com/question/4344214

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4 0
1 year ago
I have a roof that measures 175 ft by 45 ft. During the hurricane 11 inches of rain fell.
Nikolay [14]

Answer:

  4.1 billion

Step-by-step explanation:

1 ft = 30.48 cm

1 in = 2.54 cm

The volume of rain that fell on the roof is given by ...

  V = LWH

  V = (175 ft × 30.48 cm/ft)(45 ft × 30.48 cm/ft)(11 in × 2.54 cm/in)

  = 175×45×11×30.48²×2.54 cm³ = 204,412,236.336 cm³

At 20 drops per cm³, this will be ...

  20×204,412,236.336 ≈ 4,088,244,727 . . . . raindrops

About 4.1 billion raindrops fell on your roof.

5 0
2 years ago
Identify the like terms 3x,4y,4z,5x<br><br> A:4y,5x<br> B:4y,4z<br> C:3x,5x<br> D:3x,4z
fomenos

Answer:

c

Step-by-step explanation:


5 0
3 years ago
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a tot
Alex_Xolod [135]

Answer:

12 boys

Step-by-step explanation:

I believe the answer is 12 boys. I hope this helps!

8 0
2 years ago
The equation is (9+6)+4=(5+ blank)+4​
rusak2 [61]
10 is your answer!! hope this helps
4 0
2 years ago
Read 2 more answers
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