Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.
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
-------- = ---------
...x ............. 2
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
------- = x
2.5
Which then simplifies to:
x = 16
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. :)
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
Factor it out (x+2)(x-1)
Set each of these equal to zero to get -2,1 as your answers
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
Given the function s(t) = -9 -3t, differentiating the function gives the instantaneous velocity.
s’(t) = -3
This means that the velocity is not a function of time and is therefore constant. The velocity at t = 8 ( or any time for that matter) is -3 units/time.