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tiny-mole [99]
2 years ago
9

S is inversely proportional to t When s = 0.5, t = 7 Work out s when t = 0.8

Mathematics
1 answer:
defon2 years ago
5 0

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

s\propto \dfrac{1}{t}

s=\dfrac{k}{t}       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

0.5=\dfrac{k}{7}

0.5\times 7=k

3.5=k

Putting k=3.5 in (i), we get

s=\dfrac{3.5}{t}

This is the equation of proportionality.

Putting t=0.8, we get

s=\dfrac{3.5}{0.8}

s=4.375


Therefore, the value of s is 4.375 when t=0.8.

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Rina8888 [55]
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Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:

20 ............2.5
-------- = ---------
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where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:

20×2 = 2.5 × x

Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).

We would then have:

20×2
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Which then simplifies to:

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Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)

3 0
3 years ago
Please help me. .....
wlad13 [49]

Answer:

24 pounds

Step-by-step explanation:

Step 1: Find out how many pens he bought

12 pens per pack

Charles bought 60 packs

60 packs x 12 pens = 720 pens

Step 2: Find out how much Charles spent

2.80 per pack

Charles bought 60 packs

60 x 2.80 = 168 pounds

Step 3: Find out how many pens Charles sold

Charles sold 2/3 of his pens

2/3 x 720 = 480

Step 4: Find out how manypens he sold

Charles sold the pens for 40p

40p x 480 = 19200p

Step 5: Convert pences to pounds

19200p = 192 pounds

Step 6: Find the profit

192 - 168 = 24 pounds

Step 7: Therefore statement

Therefore he mad 24 pounds of profit

6 0
2 years ago
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3 years ago
Ok I need to know how to simplify Thanks <br><br> Dimitri
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ex: 5/25=1/5

5 divided by 5 is and 25 divided by 5 is 5.

1.Write down the factors for the numerator(top number) and the denominator(the number down below).

2.Find the largest factor that is common between the two.

3.Divide the numerator and denominator by the greatest common factor.

4.Write down the reduced fraction.

Hope this helps

7 0
2 years ago
The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivati
pogonyaev
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