Answer: The answer is 60
Step-by-step explanation: 40% = .4 because % means hundredths. So 40% = 40/100 = .4
Let x be the total number of marbles.
Then, .4x = 24
Divide both sides by .4
x = 60 and 24 is 40% of 60 marbles
The answer is -4. The range is the y-value and when you say f(x) that is the same thing as y, so if f(x) = -4 that means y = -4 which means the range is -4.
Answer:
Given:
I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.
I then realized that I would be late if I kept walking.
I ran the rest of the way. I run twice as fast as I walk.
Find:
The number of minutes in total did it take me to get from home to work
Step-by-step explanation:
Had I kept walking, the second half of my trip would have taken 10 more minutes.
By doubling my speed for the second half of my trip,
I halved the amount of time it took me to finish.
So, the second half of my trip took 5 minutes, for a total trip time of 10+5 = 15 minutes.
The number of minutes in total did it take me to get from home to work is 15 minutes.
The correct answer is option 4! you have a good day as well
Given:
![|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|](https://tex.z-dn.net/?f=%7C3%2B4%20i%7C%2B%7C3-4%20i%7C%2B%7C-3%2B4%20i%7C%2B%7C-3-4%20i%7C)
Solution:
Complex formula:
![|a+b i|=\sqrt{(a+b i)(a-b i)}=\sqrt{a^{2}+b^{2}}](https://tex.z-dn.net/?f=%7Ca%2Bb%20i%7C%3D%5Csqrt%7B%28a%2Bb%20i%29%28a-b%20i%29%7D%3D%5Csqrt%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D)
Let us simplify one by one.
![|3+4 i|=\sqrt{3^{2}+4^{2}}](https://tex.z-dn.net/?f=%7C3%2B4%20i%7C%3D%5Csqrt%7B3%5E%7B2%7D%2B4%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|3 + 4i| = 5
![|3-4 i|=\sqrt{3^{2}+(-4)^{2}}](https://tex.z-dn.net/?f=%7C3-4%20i%7C%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|3 - 4i| = 5
![|-3+4 i|=\sqrt{(-3)^{2}+4^{2}}](https://tex.z-dn.net/?f=%7C-3%2B4%20i%7C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B4%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|-3 + 4i| = 5
![|-3-4 i|=\sqrt{(-3)^{2}+(-4)^{2}}](https://tex.z-dn.net/?f=%7C-3-4%20i%7C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|-3 - 4i| = 5
Substitute these in the given expression:
![|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|=5+5+5+5](https://tex.z-dn.net/?f=%7C3%2B4%20i%7C%2B%7C3-4%20i%7C%2B%7C-3%2B4%20i%7C%2B%7C-3-4%20i%7C%3D5%2B5%2B5%2B5)
![=20](https://tex.z-dn.net/?f=%3D20)
The solution of the expression is 20.