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3 years ago

Mr. Franklin asked each of his 30 students to select their favorite radio station.

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

6 0

Answer:

Step-by-step explanation:

We are given that

Total number of students who select their favorite radio station=30

Number of student who select their favorite radio station K= $\frac{1}{3}\times 30=10$

Number of student who select their favorite radio station L= $\frac{1}{5}\times 30=6$

We have to find that number of student who select station M.

Remaining students=30-(10+6)=30-16=14

Number of students who select their favorite radio station M=14

Hence, the number of students who select their favorite radio station M=14

Answer: 14

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To find:

How much further does Sylvia have left to hike?

Solution:

Let x be the remaining hiking distance.

We know that,

Total hiking distance = Hiking before lunch + Remaining hiking distance

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$\dfrac{(6\times 5)+1}{5}=\dfrac{(2\times 3)+2}{3}+x$

$\dfrac{30+1}{5}=\dfrac{6+2}{3}+x$

$\dfrac{31}{5}=\dfrac{8}{3}+x$

Isolate variable term.

$\dfrac{31}{5}-\dfrac{8}{3}=x$

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It can be written as

$\dfrac{45+8}{15}=x$

$\dfrac{(3\times 15)+8}{15}=x$

$3\dfrac{8}{15}=x$

So, $3\dfrac{8}{15}$ miles left to hike.

Therefore, the correct option is C.

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David hikes 2 1/4 mile in 1/2 an hour. if he walks for 7 hours how far will he have gone?

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