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. :)
No, 1/2=0.5
This is because half of one is 0.5, since 0.5 x 2 = 1.
0.1 written as a fraction would be 1/10, since 0.1 x 10 = 1.
0.2 written as a fraction would be 1/5, since 0.2 x 5 = 2
(132 min)/(12 mi) = (t)/(66 mi)
t = (66 mi)*(132 min)/(12 mi) = 726 min
It will take the bicyclist 726 minutes to travel 66 miles.
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
-2(x+9)-6=-24
-2x-18-6=-24
2x=0
x=0
2(x+9)-6=-24
2x+18-6=-24
2x=-36
x=-18