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g100num [7]
3 years ago
5

Emilie rides her bike x miles be for eshe gets a flat tire. She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 mile

s. Which expression shows how many miles Emilie travels in all?

Mathematics
2 answers:
earnstyle [38]3 years ago
7 0

Answer:

Option (B) is the answer.

Step-by-step explanation:

Emilie rides her bike x miles before it gets flat tire.

Distance she walked to a bus stop = \frac{1}{3} mile

Then she took a bus and traveled the distance = 2\frac{1}{2} miles or \frac{5}{2}miles

So, total distance covered by her = x + \frac{1}{3}+\frac{5}{2} miles

                                                        = x + \frac{2+15}{6} miles

                                                        = x + \frac{17}{6} miles

                                                        = x + 2\frac{5}{6} miles

Therefore, expression that shows the total distance traveled by Emilie is (x + 2\frac{5}{6}) miles

Option (B) is the answer.

Alex17521 [72]3 years ago
6 0
The answer is B because you want to add all three of these totals together. You always want a common denominator before adding fractions so remember that. Hope that helps :)
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Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

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4 0
3 years ago
If (x-y)^2=71 and x^2+y^2=59 what is the value of xy?
Lena [83]
Solve the equations
first one
take the sqrt of both sides
x-y=√71
add y to both sides
x=y+√71
sub y+√71 for x in other part


(y+√71)²+y²=59
y²+2y√71+71+y²=59
2y²+2y√71+71=59
minus 59 both sides
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use quadratic equation or something
y=\frac{- \sqrt{71}- \sqrt{47}  }{2} and \frac{- \sqrt{71}+ \sqrt{47}  }{2}

sub those for x

x=y+√71
note: √71=(2√71)/2

x=\frac{- \sqrt{71}- \sqrt{47}  +2\sqrt{71}}{2} ,\frac{\sqrt{71}- \sqrt{47}}{2}
or
x=\frac{- \sqrt{71}+ \sqrt{47}  +2\sqrt{71}}{2} ,\frac{\sqrt{71}+ \sqrt{47}}{2}

xy=\frac{\sqrt{71}- \sqrt{47}}{2}  times \frac{-\sqrt{71}- \sqrt{47}}{2} or \frac{\sqrt{71}+ \sqrt{47}}{2}  times \frac{-\sqrt{71}+ \sqrt{47}}{2}

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