Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
![0 = - 4.9t {}^{2} + 27t + 2.4](https://tex.z-dn.net/?f=0%20%3D%20%20-%204.9t%20%7B%7D%5E%7B2%7D%20%20%2B%2027t%20%2B%202.4)
Convert decimals to fractions
![0 = - \frac{49}{10} t {}^{2} + 27t + \frac{12}{5}](https://tex.z-dn.net/?f=0%20%3D%20%20-%20%20%5Cfrac%7B49%7D%7B10%7D%20t%20%7B%7D%5E%7B2%7D%20%20%2B%2027t%20%2B%20%20%5Cfrac%7B12%7D%7B5%7D%20)
Multiply both sides by 10
![0 = - 49t {}^{2} + 270t + 24](https://tex.z-dn.net/?f=0%20%3D%20%20-%2049t%20%7B%7D%5E%7B2%7D%20%20%2B%20270t%20%2B%2024)
Move expression to the left.
![0 + 49t {}^{2} - 270t - 24 = 0](https://tex.z-dn.net/?f=0%20%2B%2049t%20%7B%7D%5E%7B2%7D%20%20-%20270t%20-%2024%20%3D%200)
Remove zero.
![49t {}^{2} - 270t - 24 = 0](https://tex.z-dn.net/?f=49t%20%7B%7D%5E%7B2%7D%20%20-%20270t%20-%2024%20%3D%200)
Solve the quadratic equation.
![t = \frac{ - ( - 270) + - \sqrt{( - 270) {}^{2} - 4 \times 49 \times ( - 24) } }{2 \times 49}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%20-%20%28%20-%20270%29%20%2B%20%20-%20%20%5Csqrt%7B%28%20-%20270%29%20%7B%7D%5E%7B2%7D%20-%204%20%5Ctimes%2049%20%5Ctimes%20%28%20-%2024%29%20%7D%20%7D%7B2%20%5Ctimes%2049%7D%20)
Remove parenthesis and calculate.
![t = \frac{270 + - \sqrt{72900 + 4704} }{98}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B270%20%2B%20%20-%20%20%5Csqrt%7B72900%20%20%2B%204704%7D%20%7D%7B98%7D%20)
Add the numbers
![t = \frac{270 + - 77604}{98}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B270%20%2B%20%20-%2077604%7D%7B98%7D%20)
Separate the solutions
![t = \frac{270 + \sqrt{77604} }{98} \\ t = \frac{270 - \sqrt{77604} }{98}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B270%20%20%2B%20%20%5Csqrt%7B77604%7D%20%7D%7B98%7D%20%20%5C%5C%20t%20%3D%20%20%5Cfrac%7B270%20-%20%20%5Csqrt%7B77604%7D%20%7D%7B98%7D%20)
The final solution are
Since there are 24 fiction books and 52 books in total, you can start with subtracting them both to find the amount of non-fiction books. 52-24=28, so 28 non-fiction books are currently checked out. Now for the fun part. There are two ways I know how to do this, so let's start. One way is that you can put a ':' between the two numbers. For example, since we are trying to find fiction books to non-fiction, we would say 24:28. The first number will represent the first thing they ask for (fiction), and the second number will represent the second thing they ask for (non-fiction). Another way to do this is by putting the numbers as a fraction. For example, you could put 24/28. It will still mean the same thing, and it will not change the outcome. I hope this helps! :)
Answer:
15x because the air ballon drops 15 meters each time the elevation decreases
Step-by-step explanation: Im not sure if this is what youre looking for but it drops 15 meters each time, 5 times so the change would be 15x and the x is used as how mant different times the elevation drops
Answer:
If it has a radius of 9 then the length will be 18 and it would be a 18 by 3 shape and that's not a cube....
Step-by-step explanation: