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Furkat [3]
3 years ago
11

An airplane has a speed of 325 miles per hour in still air. If the plane flies directly south and

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

285 miles per hour is the closest resultant to the speed of the airplane

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Please help me with my math hw
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Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Problem 1</u>

<u />\frac{3}{4}x=60\\ \\\frac{3}{4}x*4=60*4\\ \\3x=240\\\\\frac{3x}{3}=\frac{240}{3}\\ \\ x=80


Check solution:

\frac{3}{4}(80)\stackrel{?}{=}60\\\\\frac{3*80}{4}\stackrel{?}{=}60\\\\\frac{240}{4}\stackrel{?}{=}60\\\\60=60

<u>Problem 2</u>

<u />\frac{2}{5}x=42\\ \\\frac{2}{5}x*5=42*5\\ \\2x=210\\\\\frac{2x}{2}=\frac{210}{2}\\ \\ x=105

Check solution:

\frac{2}{5}(105)\stackrel{?}{=}42\\\\\frac{2*105}{5}\stackrel{?}{=}42\\ \\\frac{210}{5}\stackrel{?}{=}42\\ \\42=42

<u>Problem 3</u>

<u />\frac{3}{5}y=40\\ \\\frac{3}{5}y*5=40*5\\ \\3y=200\\\\\frac{3y}{3}=\frac{200}{3}\\ \\ y=\frac{200}{3}

Check solution:

\frac{3}{5}(\frac{200}{3})\stackrel{?}{=} 40\\ \\ \frac{3*200}{5*3}\stackrel{?}{=} 40\\ \\\frac{600}{15}\stackrel{?}{=}40\\\\40=40

<u>Problem 4</u>

<u />-\frac{8}{3}m=6\\\\-\frac{8}{3}m*3=6*3\\ \\-8m=18\\\\\frac{-8m}{-8}=\frac{18}{-8}\\\\m=-\frac{18}{8}\\ \\m=-\frac{9}{4}

Check solution:

-\frac{8}{3}(-\frac{9}{4})\stackrel{?}{=}6\\\\\frac{-8*-9}{3*4}\stackrel{?}{=}6\\\\\frac{72}{12}\stackrel{?}{=}6\\ \\6=6

<u>Problem 5</u>

<u />\frac{5}{6}x=4\\ \\\frac{5}{6}x*6=4*6\\ \\5x=24\\\\\frac{5x}{5}=\frac{24}{5}\\ \\ x=\frac{24}{5}

Check solution:

\frac{5}{6}(\frac{24}{5})\stackrel{?}{=}4\\ \\\frac{5*24}{6*5}\stackrel{?}{=}4\\\\\frac{24}{6}\stackrel{?}{=}4\\ \\4=4

<u>Problem 6</u>

<u />\frac{5}{3}x=12\\ \\\frac{5}{3}x*3=12*3\\ \\5x=36\\\\\frac{5x}{5}=\frac{36}{5}\\ \\x=\frac{36}{5}

Check solution:

\frac{5}{3}(\frac{36}{5})\stackrel{?}{=}12\\\\\frac{5*36}{3*5}\stackrel{?}{=}12\\ \\\frac{36}{3}\stackrel{?}{=}12\\ \\12=12

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