Find VX How do you solve this?
1 answer:
The length of VX equals to 80
Below I show my work of how I found the missing length.
To find the missing length, you pick the starting location. Then go in any direction and then do the same to the other side. Then write a ratio.
I decided to start at 46 and then go downward.
46/23=x/17
Then you cross multiply
43*17=x*23
782=23x
Divide 23 on both sides
X=34.
Then add 34 by 46 to get the length of VX.
Below is a picture of notes on how to solve these types of problems.
Below I show my work of how I found the missing length.
To find the missing length, you pick the starting location. Then go in any direction and then do the same to the other side. Then write a ratio.
I decided to start at 46 and then go downward.
46/23=x/17
Then you cross multiply
43*17=x*23
782=23x
Divide 23 on both sides
X=34.
Then add 34 by 46 to get the length of VX.
Below is a picture of notes on how to solve these types of problems.
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The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.
The mass of the particles moving in river is proportional to the sixth power of 2, or
miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship 
, for some constant k.
For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.
So, the key here is proportional. We can set up two proportions and cross multiply.
Cancelling our x's (because we don't need to solve for them), we have
To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.
![\sqrt[6]{y^6} = \sqrt[6]{960}](https://tex.z-dn.net/?f=%20%5Csqrt%5B6%5D%7By%5E6%7D%20%3D%20%20%5Csqrt%5B6%5D%7B960%7D%20)
Using a calculator, we see that![\sqrt[6]{960} = 3.14 \ miles \ per \ hour](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B960%7D%20%3D%203.14%20%5C%20miles%20%5C%20per%20%5C%20hour)
.
The mass of the particles moving in river is proportional to the sixth power of 2, or
For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.
So, the key here is proportional. We can set up two proportions and cross multiply.
Cancelling our x's (because we don't need to solve for them), we have
To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.
Using a calculator, we see that
Answer:
Initial number of trees were 204.
Step-by-step explanation:
555 must be a typo error. The question will not produce correct answer. I worked out with 55 but the answer is wrong. So, the number is 5.
Lets say MacDonald removed 5 orange trees from his farm.
Let t be the initial number of trees
After removing 5 trees, the remaining left are t-5 trees
As given - Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. This means
Solving for t:
t = 204
So, initial number of trees were 204.
We can check this :
------------------------------------------------------------------------------------------
Working with 55 we get the wrong answer:
t = 144
We can check this :
(wrong)