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3 years ago

4/9 divided by what equals 12

1 answer:

5 0

(4/9)/x= 12

Multiply both sides by x
4/9=12x

Divide both sides by 12
(4/9)*(1/12)= 4/108
4/108= 1/27

Final answer: 1/27

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Need help with these

liraira [26]

1. 4(2+3c) = 56

c = 4

3. -29 = 5(2a-1)+2a

a = -2

5 . 7p-(3p+4) = -2(2p-1)+10

p=2

7. 1/2 (-4+6x) = 1/3x + 2/3*(x+9)

x=4

Step-by-step explanation:

1. 4(2+3c) = 56

$4(2+3c) = 56\\8+12c = 56$

Subtracting 8 from both sides

$8-8+12c = 56-8\\12c = 48$

Dividing both sides by 12

$\frac{12c}{12} = \frac{48}{12}\\c = 4$

Checking:

$4[2+3(4)] = 56\\4(2+12) = 56\\4(14) = 56\\56 = 56$

3. -29 = 5(2a-1)+2a

Simplifying

$-29 = 10a-5+2a\\-29 = 12a-5$

Adding 5 on both sides

$-29+5 = 12a - 5+5\\-24 = 12a$

Dividing both sides by 12

$\frac{12a}{12} = \frac{-24}{12}\\a = -2$

Checking:

$-29 = 5(2a-1)+2a\\-29 = 5[2(-2)-1]+2(-2)\\-29 = 5(-4-1) -4\\-29 = 5(-5) -4\\-29 = -25-4\\-29 = -29$

5 . 7p-(3p+4) = -2(2p-1)+10

Simplifying

$7p-3p-4 = -4p+2+10\\4p-4 = -4p+12$

Adding 4 on both sides

$4p-4+4 = -4p+12+4\\4p = -4p+16$

Adding 4p on both sides

$4p+4p = -4p+4p+16\\8p = 16$

Dividing both sides by 8

$\frac{8p}{8} = \frac{16}{8}\\p = 2$

Checking:

$7p-(3p+4) = -2(2p-1)+10\\7(2)-[3(2)+4] = -2[2(2)-1] +10\\14 - (6+4) = -2 (4-1) +10\\14 - 10 = -2(3) +10\\4 = -6+10\\4=4$

7. 1/2 (-4+6x) = 1/3x + 2/3*(x+9)

Simplifying

$\frac{1}{2} (-4+6x) = \frac{1}{3}x+\frac{2}{3}(x+9)\\\frac{-4}{2}+\frac{6x}{2} = \frac{x}{3} +\frac{2x}{3} + \frac{18}{3}\\-2+3x = \frac{x+2x+18}{3}\\-2+3x = \frac{3x+18}{3}\\3(-2+3x) = 3x+18\\-6+9x = 3x+18$

Adding 6 on both sides

$-6+6+9x = 3x+18+6\\9x = 3x+24$

Subtracting 3x from both sides

$9x-3x = 3x-3x+24\\6x = 24$

Dividing both sides by 6

$\frac{6x}{6} = \frac{24}{6}\\x = 4$

Checking:

$\frac{1}{2} [-4+6(4)] = \frac{1}{3}(4)+\frac{2}{3}(4+9)\\\frac{1}{2}(-4+24) = \frac{4}{3}+\frac{2}{3}(13)\\\frac{1}{2}(20) = \frac{4}{3} +\frac{26}{3}\\15 = \frac{4+26}{3}\\15 = \frac{30}{3}\\15=15$

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

When rolling two six-sided number cubes, what is the probability of getting a sum of at least 5? 5/18 1/3 13/18 5/6

VashaNatasha [74]

The sample space for two six sided cubes =

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now the favourable events are those where the sum is greater than or equal to 5.

It means

(1,4) (1,5) (1,6)

(2,3) (2,4) (2,5) (2,6)

(3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

It means

favourable events = 30

and total possible events = 36

So probability = 30/36 = 5/6

Hence 4th option is the correct one.

3 0

4 years ago

Paul picked 5482 peaches. Peter picked four times as Paul picked. Penny picked twice as many as Peter picked. How many peaches d

Ne4ueva [31]

Answer:

Step-by-step explanation:

Multiply 5482 by 4. Then multiply Peter’s number by 2. Finally add it all together Paul’s, Peter’s, and Penny’s number.

5 0

3 years ago

A recipe calls for 5/6 cup of flour Dixie wants to make 3/5 dixie currently has 3/4 cups of flour does she have enough to make t

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

5/6 - 3/4

20 - 12 = 8

_____ __

24 24

Cancelling out, we have

=>1/3

She does not have enough cup of flour. She needs 1/3 more to be able to make the recipe.

Hope it helps 

5 0

3 years ago

Find the indicated function value for csc -450°

Mekhanik [1.2K]

Step-by-step explanation:

$\csc( - 450 \degree) \\ \\ = - \csc450 \degree \\ \\ = - \csc(360 \degree + 90\degree) \\ \\ = - \csc( 90\degree) \\ \\ = - 1$

4 0

4 years ago