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3 years ago

Rita is hiking along a trail that is 13.8 miles long. So far she has hiked along one-tenth of the trail.

Mathematics

1 answer:

vichka [17]3 years ago

4 0

Rita has hiked 1.38 miles so far.

Step-by-step explanation:

Given,

Total length of the hiking trail = 13.8 miles

Distance covered by Rita so far = $\frac{1}{10}\ of\ the\ trail$

Distance covered in miles = $\frac{1}{10}*13.8$

Distance covered in miles = 1.38 miles

Rita has hiked 1.38 miles so far.

Keywords: fraction, division

Learn more about fractions at:

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Read 2 more answers

This season, Lisa's lacrosse team has won $\frac 23 of their home games (games played at Lisa's school), but just $\frac 25 of t

juin [17]

Answer:

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let $x$ represents games played at home.

also $y$ represent games played away.

Total number of games played = 49

∴ $x+y=49 \ \ \ \ equation \ 1$

Now according to given data:

Number of home games won = $\frac{2}{3}$

Number of away game won = $\frac{2}{5}$

Total games won =26

Hence

$\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\$

Now multiplying equation 1 by 3 we get,

$3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\$

Now Subtracting equation 2 by equation 3 we get,

$(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24$

Substituting value of x in equation 1 we get.

$x+y=49\\24+y=49\\y=49-24=25$

Hence Lisa's team have played 24 home games and 25 away games.

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3 years ago