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Alexandra [31]
2 years ago
7

Rewrite 4/21 and 2/9 so that they have a common denominator,

Mathematics
2 answers:
Agata [3.3K]2 years ago
8 0
The common denominator between 21 and 9 is 63, the LCM OF them two numbers is 63
So…

12/63 and 14/63
adell [148]2 years ago
7 0

Answer:

\frac{12}{63} \: and \:  \frac{14}{63}

Step-by-step explanation:

The lowest common multiple between 21 and 9 is 63 as 21 = 21, 42, 63

9 = 9, 18, 27, 36, 45, 54, 63

therefore the common denominator is 63

\frac{4}{21}  =  \frac{?}{63}

21 × 3 = 63, so do the same to the numerator.

4 × 3 = 12 the numerator is 12

\frac{4}{12}  =  \frac{12}{63}

let's do the same to 2/9

\frac{2}{9}  =  \frac{?}{63}

9 × 7 = 63, so do the same to the numerator.

2 × 7 = 14

the numerator is 14

\frac{2}{9}  =  \frac{14}{63}

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Write a rule to describe the transformation. A. Rotation 90º clockwise about the origin B. Rotation 180º about the origin C. Rot
Alex_Xolod [135]

Answer:

A. Rotation 90º clockwise about the origin B. Rotation 180º about the origin C. Rotation 90º counterclockwise about the origin D. Reflection across y=x

Step-by-step explanation:

because

4 0
3 years ago
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A growing farming conglomerate increases its water usage at a rate of 5% every year. If it used 48,000 megaliters of water this
romanna [79]

Answer:

Future requirement of water = 115,517 mega-liters

Step-by-step explanation:

Given:

Current requirement of water (C) = 48,000 mega-liters

Increasing rate per year (g) = 5% = 0.05

Number of year (n) = 18 years

Find:

Future requirement of water = ?

Computation:

Future\ requirement\ of\ water = C(1+g)^n\\\\Future\ requirement\ of\ water = 48,000(1+0.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(1.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(2.4)\\\\Future\ requirement\ of\ water = 115,517 (Approx)

Future requirement of water = 115,517 (Approx) mega-liters

7 0
3 years ago
Help me also with #8 !!!
iVinArrow [24]

Answer:216 is your answer

Step-by-step explanation:

4 0
3 years ago
Polygon ABCD has vertices A(1,3) , B(1,6) , C(4,6) , and D(5,2) .
Bond [772]

Answer:

  • check below for explanation.

explanation:

➢ Given coordinates:

  • A( 1, 3 )
  • B( 1, 6 )
  • C( 4, 6 )
  • D( 5, 2 )

➢ after a dilation with a scale factor of 1/2:

  • A( 1, 3 )  ÷  2    ☛   A'(0.5,1.5)  
  • B(1, 6 )   ÷  2    ☛   B'(0.5, 3)
  • C( 4, 6)  ÷  2    ☛  C'( 2, 3 )
  • D( 5, 2)  ÷  2    ☛  D'( 2.5, 1)

➢ Plot the after dilation coordinates on the graph:

  • check the image below:

5 0
2 years ago
In a different dimension, cows have $x+3$ legs, with 3 toes on each leg. Chickens have $2x-4$ legs, with 7 toes on each leg. If
Juli2301 [7.4K]

Answer:

20x-10

Step-by-step explanation:

Cows have x+3 legs and 3 toes on each leg, if we want to find the number of toes of ONE cow we have to multiply the legs by the toes giving the following:

3(x+3) \quad (1)

But we have two cows so (1) we have to multiply it by 2 giving a total of:

2(3(x+3))\\6(x+3)\\6x+18 \quad (2)

By the other hand chickens have 2x-4 legs and 7 toes on each leg, if we want to find the number of toes we have to multiply the legs by the toes giving the following:

7(2x-4)\\14x-28 \quad (3)

To find the total amount of toes we have to add (2) and (3)

(6x+18)+(14x-28)\\20x-10

6 0
2 years ago
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