3 years ago

What is AE ? Enter your answer in the box.

Mathematics

1 answer:

romanna [79]3 years ago

3 0

(2x+6)/10 = (x+6)/8
10(x+6) = 8(2x+6)
10x + 60 = 16x + 48
6x = 12
x = 2

so
AE = 2(2) +6
AE = 4 + 6
AE = 10

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Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?

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$x-\ number\ of\ nickels\\
y-\ number\ of\ dimes\\\\
x+y=25 \ \ \ | x=25-y\\
0.05x+0.1y=1.65\\\\
0.05(25-y)+0.1y=1.65\\\\
1.25-0.05y+0.1y=1.65\\\\
1.25+0.05y=1.65\ \ \ | subtract\ 1.25\\\\
0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\\\\
y=8\\\\
x=25-8=17\\\\
There\ are\ 17 \ nickels\ and\ 8\ dimes.
$