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katovenus [111]
2 years ago
6

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}

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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
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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}

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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

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