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Mathematics

1 answer:

Julli [10]2 years ago

5 0

Answer:

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Scar travels 350 miles on 20 gallons of gasoline. How many gallons will be used to travel 875 miles under the same conditions?

Hatshy [7]

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3 years ago

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zloy xaker [14]

Answer:

$\frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )}$

Step-by-step explanation:

$\frac{5}{6 {x}^{2} + 9x} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5}{3x(2 {x} + 3)} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5(2x - 3) + 1 \times 3x(2x + 3)}{3x(2 {x} + 3)(2x - 3)} - \frac{2}{3x} \\ \\ = \frac{10x - 15 + 6 {x}^{2} + 9x}{3x((2 {x} ) ^{2} - {3}^{2} )} - \frac{2}{3x} \\ \\ = \frac{6 {x}^{2} + 19x - 15}{3x(4x^{2} - 9 )} - \frac{2}{3x} \\ \\ = \frac{3x(6 {x}^{2} + 19x - 15) - 2 \times 3x(4x^{2} - 9 )}{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{18{x}^{3} + 57 {x}^{2} - 45x - 24x^{3} + 54x }{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{ - 6 {x}^{3} + 57 {x}^{2} + 9x }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ = \frac{ 3x(- 2 {x}^{2} + 19x + 3) }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ \huge \orange{ \boxed{= \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} }}$

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3 years ago

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ziro4ka [17]

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2 years ago

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sergeinik [125]

A story - narrative

How the author creates and describes a character - characterization

The time and place of events in the story - setting

Personality traits based on what someone does, thinks, or says - character traits

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2 years ago

A building casts a shadow 48 feet long . At the same time a 40 foot tall flag pole casts a shadow 9.6 feet long . What is the fi

tankabanditka [31]

Ratio of height of the flag pole to the length of its shadow = 40:9.6 = 25:6
Ratio of height of the building to the length of its shadow = x:48 = 25:6
x/48 = 25/6
x = (48 x 25)/6 = 1200/6 = 200

Therefore, the height of the building is 200 feet.

6 0

3 years ago