All categories

2 years ago

The product of two rational number is 7. If one of the number

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

7 0

Answer:

7/12 OR 0.58 (2.d.p)

Step-by-step explanation:

Product means that the two rational numbers are being multiplied to get 7.

The question also tells us that one of them is 12. Therefore we can write an equation to express this information where we represent the unknown rational number using the letter 'r':

r x 12 = 7

Rearrange to find r:

r x 12 / 12 = 7 /12

r = 7/12 = 0.5833....

= 0.58 (2.d.p)

Hope this helped!

anzhelika [568]2 years ago

3 0

Answer:

$y = \frac{7}{12}$

Step-by-step explanation:

x × y = 7

We are given x = 12.

12 × y = 7

Rearrange.

y × 12 = 7

Divide each side by 12.

y × 12 ÷ 12 = 7 ÷ 12

Simplify.

$y = \frac{7}{12}$

You might be interested in

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

29 is what percent of 20?

Vanyuwa [196]

29 percent = 29/100
So 29/100 x 20
= 5.8

4 0

2 years ago

Use the quadratic formula to solve 4x^2 - 8x - 60 = 0

zhannawk [14.2K]

A. You can factor it to those terms

4 0

3 years ago

Caroline’s two managers, Shawna and Morris, are having a meeting to discuss her performance. To prepare, Morris looks at Carolin

PSYCHO15rus [73]

I believe the answeris B

7 0

2 years ago

Read 2 more answers

A point is ____<br> •imaginary <br> •real

wlad13 [49]

Answer:

a point Is an imaginary line

4 0

3 years ago

Read 2 more answers