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SVEN [57.7K]
2 years ago
8

Completely simplify the rational expression LaTeX: \frac{7x}{3y} + \frac{12x}{9y}

Mathematics
1 answer:
irina [24]2 years ago
3 0

Answer:

\frac{11x}{3y}

Step-by-step explanation:

\frac{7x}{3y} + \frac{12x}{9y}

To add the two fractions, you need a common denominator.  In this case, the lowest common denominator (LCD) is 9y.  That's because 9y is divisible by both 3y and 9y.

The first fraction must be changed so that its denominator is 9y.  Do this by multiplying both numerator and denominator by 3.

\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.

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Speed of a 747 airplane is 9,944 inches per second. What is the nearest foot per second
laiz [17]

Answer:

12 inches = 1 foot

9,944 inches = 9,944/12 = 826.67 ft

3 0
3 years ago
The shark are fed three times a day during the morning feeding 2/15 of a ton. During the afternoon feeding the weight of fish fe
UNO [17]

Answer:

The shark are fed \frac16 \ ton of fish during the night.

Step-by-step explanation:

Given:

Weight of fish fed in the morning = \frac{2}{15}\ ton

Also Given:

During the afternoon feeding the weight of fish fed will be 1/15 of a ton more than the fish fed during the morning.

Weight of fish fed in the afternoon = \frac{2}{15}+\frac{1}{15}=\frac{2+1}{15}=\frac{3}{15}\ ton

Total fish fed in whole day = \frac12 \ ton

We need to find the Weight of fish fed in the night.

Solution:

Now we can say that;

Weight of fish fed in the night can be calculated by by subtracting Weight of fish fed in the morning and Weight of fish fed in the afternoon from Total fish fed in whole day .

framing in equation form we get;

Weight of fish fed in the night = \frac{1}{2}-\frac{2}{15}-\frac{3}{15}= \frac{1}{2}-(\frac{2}{15}+\frac{3}{15})=\frac{1}{2}-\frac{2+3}{15}= \frac{1}{2}-\frac{5}{15} = \frac{1}{2}-\frac{1}{3}

Now we will use LCM for making the denominator common we get;

Weight of fish fed in the night = \frac{1\times3}{2\times3}-\frac{1\times2}{3\times2} = \frac{3}{6}-\frac{2}{6}

Now denominator are common so we will solve the numerators.

Weight of fish fed in the night = \frac{3-2}{6}=\frac16 \ ton

Hence The shark are fed \frac16 \ ton of fish during the night.

3 0
3 years ago
8th Grade Functions: Bike Race
Arturiano [62]

Answer:

Juan wins the race

Step-by-step explanation:

<u>The graph is shown in attached image.</u>

<u />

The black line is Juan's graph.

The green line is Antonio's graph.

The graph shows the distance (y-axis) with time (x-axis).

The end of the curve(s) means the end of the race. Both curve's ending point in y-axis is 4 miles so the end of the race is 4 miles.

But in x-axis, we see the time:

Juan finishes at 13 minutes

Antonio finishes at 15 minutes

<u>Definitely Juan wins the race</u>

5 0
3 years ago
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a right triangle has a non hypotenuse side length of 45" and the hypotenuse measures 53". What is the length of the other non-hy
Ede4ka [16]

Answer:

28"

Step-by-step explanation:

the length of the other non-hypotenuse side =

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7 0
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PLEASE HELP ME! IS THIS CORRECT?
Amanda [17]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
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