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Sonja [21]
3 years ago
9

Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,50

0 meters in 6 seconds 4. $36 for 4 rounds of shrimp
Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Given:

The ratio and rates:

1. 30 ft. To 60.Ft

2. 51 males to 21 females

3. 1,500 meters in 6 seconds

4. $36 for 4 rounds of shrimp

To find:

The fraction in simple terms for the given ratio and rates.

Solution:

1. 30 ft. To 60.Ft

\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}

2. 51 males to 21 females

\dfrac{51}{21}=\dfrac{17}{7}

3. 1,500 meters in 6 seconds

\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}

4. $36 for 4 rounds of shrimp

\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}

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Answer:

x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}

Step-by-step explanation:

simplify \frac{-3}{x-2} by putting the negative sign on the outside. \frac{2x}{x-1}-\frac{2x-5}{x^2-3x+2}=-\frac{3}{x-2}

find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:

\frac{2x}{x-1}\left(x-1\right)\left(x-2\right)-\frac{2x-5}{x^2-3x+2}\left(x-1\right)\left(x-2\right)=-\frac{3}{x-2}\left(x-1\right)\left(x-2\right)

Simplify:

2x\left(x-2\right)-\left(2x-5\right)=-3\left(x-1\right)

solve: x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}

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