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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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Add/sub the polynomial <br><br> (1-8x^2+3x)+(1+6x^2+x)
Scorpion4ik [409]

Answer:

-2x² + 4x + 2

Step-by-step explanation:

(1-8x²+3x)+(1+6x²+x)

= 1 - 8x² + 3x + 1 + 6x² + x

= -2x² + 4x + 2  [-2(x² - 2 - 1)]

3 0
2 years ago
6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?​
mario62 [17]

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours =>  8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = \frac{6*12}{8}

∴ x = <u>9 labours</u>

7 0
2 years ago
A recipe that makes 7 servings calls for 1 1/6 cups of juice.
VMariaS [17]
1/7 cups per serving

6 0
2 years ago
Help it’s literally 2AM
MariettaO [177]

Answer:

10

Step-by-step explanation:

4x+8+3x+12=90

x=10

this is the solution hope it's helpful

4 0
3 years ago
Which constants could each equation be multiplied by to eliminate the x-variable using addition in this system of equations? 2 x
Sever21 [200]

Answer:

3. The first equation can be multiplied by 3 and the second equation by 2.

Step-by-step explanation:

2 x + 3 y = 25 (1)

-3 x + 4 y = 22 (2)

Multiply equation (1) by 3 and (2) by 2.

3(2x) = 6x

2(-3x) = -6x

When you add the two equations, x will get cancelled last

4 0
3 years ago
Read 2 more answers
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