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Alik [6]
3 years ago
8

At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The res

t of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?
Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0

Answer:

1/15 of their time is free time.

Step-by-step explanation:

To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.

So to add all the fractions, you have the equation:

1/4 + 3/5 + 1/12

The first thing we have to do is to find a common denominator.

4, 5, and 12 are each able to multiply into 60.

So we can make the equation now with a common denominator.

15/60+36/60+5/60=56/60.

We now can simplfy this.

56/60=14/15

Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:

1-14/15=1/15

So 1/15 of their time is free time.

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For triangle ABC, angle A=110, angle B=43, and side b=15. Find side c.
vredina [299]

Answer: 10

<u>Step-by-step explanation:</u>

First, find m∠C by using the Triangle Sum Theorem:

∠A + ∠B + ∠C = 180°

110 + 43 + ∠C = 180°

     153   + ∠C = 180°

                ∠C = 27°

Next, Use the Law of Sines to solve for c:

\dfrac{b}{sin\ B}= \dfrac{c}{sin\ C}

\dfrac{15}{sin\ 43}= \dfrac{c}{sin\ 27}

\dfrac{15\ sin\ 27}{sin\ 43}= c

10 = c


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3 years ago
Lindsay got her haircut the cost of a haircut for $16 if she wants to tip for hairstylist 20% how much does she leave for the ti
gtnhenbr [62]

Answer:

$3.20

Step-by-step explanation:

I hope this helps.

Sorry if I'm wrong.

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3 years ago
Can any one solve this problem ​
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What statement describes the graph of x=4?
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Answer:

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3 years ago
Read 2 more answers
What are the intercepts of the line 2x + 4y = 12?
Darina [25.2K]
<span>if you're finding the x intercept, y is ALWAYS 0, so in this, you can just get rid of the -4y because you know that it's 0, so you're left with 2x=12 divide by 2 on both sides so you find x intercept is (6,0) on the graph 
the y works the same way, if you're looking for the y, you know that the x is zero, so you're left with -4y=12, divide by -4y on both sides and you end up with the y intercept being (0,-3) 

x int.= (6,0) 
y int.= (0,-3) 

by the way, when it's written like that, it's called standard form, so to find the intercepts on 2x=12+4y, you'd have to convert it into standard form (Ax=By=C) so you subtract 4y on both sides to make it 2x-4y=12, and then once you have it like that you can do the math to find the y and x intercepts.
</span>

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3 years ago
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