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miskamm [114]
3 years ago
13

The numerator of a rational number is greater than its denominator by 3. If the new number becomes 13/4 when the numerator is tr

ipled and the denominator is decreased by23, find the original number.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

Step-by-step explanation:

Let x represent the numerator and y represent the denominator.

The numerator of a rational number is greater than its denominator by 3. It means that

x = y + 3

If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that

3x/(y - 23) = 13/4

Cross multiplying, it becomes

3x × 4 = 13(y - 23)

12x = 13y - 299- - - - - - - - - - -1

Substituting x = y + 3 into equation 1, it becomes

12(y + 3) = 13y - 299

12y + 36 = 13y - 299

13y - 12y = 36 + 299

y = 335

x = y + 3 = 335 + 3

x = 338

The original number is 338/335

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What is the meaning of the point (25, 20)?
Reil [10]

Answer:

(25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.

Step-by-step explanation:

The general representation P(x,y) represents the Cartesian Representation of a point in a 2 Dimension.

Here, x represents the distance of the point   P from y axis to the x axis.

and y  represents the distance of the point   P from x axis to the y axis.

(x, y) together gives the  2 dimensional representation of the point P.

Now here, the given coordinates are (25, 20)

So, here x = 25 and y = 20

So, (25, 20 ) represents that the dimension of the coral  is 25 feet long and 20 feet wide.

Hence, option 3 is the most appropriate.

6 0
3 years ago
1. Last year a fishing license cost $52.00. This year the license will cost $46.80.
Talja [164]

Answer:

10%

Step-by-step explanation:

First, get the drop in value by deducting the price this year from last year's price.

Value decrease=$52.00-$46.80=$5.20

To express it as a percentage, we divide it by the original price which was $52.00 then multiply by 100 hence the percentage decrease will be

\frac {5.20}{52.00}\times 100=10\ %

Therefore, the price decreases by 10%

6 0
3 years ago
maria has a ribbon that is 5/8 yard long if she cuts her ribbon into 6 pieces of equal length what will be the length in yards o
lozanna [386]

Answer:

(5/8) / 6

(5/8) * (1/6) = 5/48 yard

4 0
3 years ago
PLS HELP IF YOU WANT
Nastasia [14]

Answer:45 * t = 2.5 * (1-t)...the equation will have one solution.

Step-by-step explanation:

For this case, the first thing you should know is:

d: v * t

Where,

d: distance

v: speed

t: time

To go to school by bus we have:

d = 45 * t

To return from school we have:

d = 2.5 * (1-t)

how the distance is the same:45 * t = 2.5 * (1-t)

3 0
3 years ago
Read 2 more answers
At the beginning of the year there were 25 students in our
Alborosie
The answer is a 12% increase. 
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3 years ago
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