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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. :)
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. :)
We have been given an expression . We are asked to find the solution to our given expression expressed as scientific notation.
Let us simplify our given expression.
Using exponent property , we will get:
Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:
Therefore, our required solution would be .
Answer:
The answer is 22
Step-by-step explanation:
Do Prime Factorization of 1260
(as shown in the picture I attached)
Prime factors of 1260 = 2, 2, 3, 3, 5, 7
Now to get the sum of the prime factors of 1260, you just have to add all the factors
2 + 2 + 3 + 3 + 5 + 7 = 22
Hope this helps!
Answer:
x = 3, v = -8
Step-by-step explanation:
Substitute x.
[5 • = -73 - 11v]
Isolate v.
5 = -73 - 11v
v = -8
Substitute v.
x =
x = 3