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Ugo [173]
2 years ago
7

Car A travels 115 miles on 5 gallons of gas. Car B travels 126 miles on 6 gallons of gas. How can you find which car gets better

gas mileage?
PLS ANSWER IT WITH STEPS
Mathematics
1 answer:
svp [43]2 years ago
6 0

Answer:

miles divided by gallons

car A= 115÷5=23 miles per gallon

car B= 126÷6=21 miles per gallon

Car A gets better gas mileage.

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If x=(10-3i) and y=(3-10i), then xy=? and x/y=?
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Answer:

xy=-109i

\frac{x}{y}=\frac{60}{109}+\frac{91}{109}i

Step-by-step explanation:

xy=(10-3i)(3-10i)

To compute x times y must use foil on the right hand side.

First:  10(3)=30

Outer: 10(-10i)=-100i

Inner: -3i(3)=-9i

Last: -3i(-10i)=30i^2=-30

------------------------------------Add like terms:

-109i

----------------

\frac{x}{y}

\frac{10-3i}{3-10i}

Multiply top and bottom by bottom's conjugate:

\frac{(10-3i)(3+10i)}{(3-10i)(3+10i)}

Foil the top and just do first and last of Foil for the bottom since the bottom contains multiplying conjugates:

\frac{30+100i-9i-30i^2}{9-100i^2}

Replace i^2 with -1:

\frac{30+91i+30}{9+100}

\frac{60+91i}{109}

\frac{60}{109}+\frac{91}{109}i

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