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3 years ago

15

What is the rate in feet per second? 10 feet 16 seconds

1 answer:

Ierofanga [76]3 years ago

7 0

Feet
_____
second

10 feet
________
16 second

equals

.625 feet per second

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1/2x+1/4y=6. 1/5x+1/3y=1

Ierofanga [76]

$\frac{1}{2}x+\frac{1}{4}y=6 \ \ \ |\times 2 \\
\frac{1}{5}x+\frac{1}{3}y=1 \ \ \ |\times (-5) \\ \\
x+\frac{1}{2}y=12 \\
\underline{-x-\frac{5}{3}y=-5} \\
\frac{1}{2}y-\frac{5}{3}y=12-5 \\
\frac{3}{6}y-\frac{10}{6}y=7 \\
-\frac{7}{6}y=7 \\
y=7 \times (-\frac{6}{7}) \\
y=-6 \\ \\
x+\frac{1}{2}y=12 \\
x+\frac{1}{2} \times (-6)=12 \\
x-3=12 \\
x=12+3 \\
x=15 \\ \\
\boxed{(x,y)=(15,-6)}$

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A student has $1 bills and $5 bills in his wallet. He had a total of 15 bills that are worth $47. How many of each type does he

Mrrafil [7]

Total number of $1 bills=7

Total number of $5 bills=8

Further explanation:

Given

Let x be the number of $1 bills

and

y be the number of $5 bills

Then according to the given statements

x+y=15

x+5y=47

From first equation:

$x+y=15\\x=15-y$

Putting x=15-y in second equation

$x+5y=47\\15-y+5y=47\\4y=47-15\\4y=32\\\frac{4y}{4}=\frac{32}{4}\\y=8$

Putting y=8 in first equation

$x+8=15\\x=15-8\\x=7$

Hence,

Total number of $1 bills=7

Total number of $5 bills=8

Keywords: Linear equations, Substitution method

Learn more about linear equations at:

brainly.com/question/2367554

brainly.com/question/2977815

#LearnwithBrainly

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