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Arisa [49]
3 years ago
6

Zack bought a coat for $69.78. He paid with a $100 bill and received $26.73 in change.How Much was the sales tax? Show your work

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0
69.78+26.73-100 just use your calculator and you will out and that a hint
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Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB
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\text{Hello there! :)}

x = 8\\\\AB = 128 \text{ units}

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\

\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\

\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40

\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8

\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8

\text{Substitute in this value of x into either AM or MB to solve for AB:}

AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}

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