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sdas [7]
4 years ago
11

Simplify rational expression

Mathematics
1 answer:
zubka84 [21]4 years ago
7 0

Answer:

<u>The final answer is 35n/17r</u>

Step-by-step explanation:

Let's simplify the expression, this way:

1. Start with the coefficients:

(10 * 42)/(6 * 34)

We cancel 6 in the denominator and change 42 by 7. Now we have:

(10 * 7)/34

We now divide by 2 both in the numerator and the denominator. Now we have:

(5 * 7)/17.

The remaining numbers are prime numbers and it's not possible to continue simplifying, so we got:

35/17

2. Variable r:

We have r⁴/r⁵ = r ⁴⁻⁵ = r⁻¹ = 1/r¹ = 1/r

3. Variable n:

We have n⁴/n³ = n ⁴⁻³ = n¹/1 = n

4. Adding the pieces:

We put coefficients and variables together: 35/17 * 1/r * n

<u>The final answer is 35n/17r</u>

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Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

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Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

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Answer:

x =6.0

The base is 6x  = 35.8

The side is 3x =  17.9

Step-by-step explanation:

We can use the pythagorean theorem

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(6x)^2 +(3x)^2 = 40^2

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