Answer:
around 76.16
Step-by-step explanation:
30 squared + 70 squared = 5800
square root of 5800 = 76.16
a squared + b squared = c squared
Answer:
12 miles
Step-by-step explanation:
1/2 inch per 2 miles
3 inches away
3 ÷ 1/2 = 6
6 * 2 = 12
Answer:
![\frac{s}{2t}](https://tex.z-dn.net/?f=%5Cfrac%7Bs%7D%7B2t%7D)
Step-by-step explanation:
When you have exponents above a like term and they are being multiplied together, you add them.
For example:
![a^{x} *a^{y} = a^{x + y}](https://tex.z-dn.net/?f=a%5E%7Bx%7D%20%2Aa%5E%7By%7D%20%3D%20a%5E%7Bx%20%2B%20y%7D)
So let's group like terms in the numerator:
We can add terms like in the example.
![4 r^{-2} s^{-3} t](https://tex.z-dn.net/?f=4%20r%5E%7B-2%7D%20s%5E%7B-3%7D%20t)
Let's rearrange the denominator.
![8r^{-2} s^{-4} t^{2}](https://tex.z-dn.net/?f=8r%5E%7B-2%7D%20s%5E%7B-4%7D%20t%5E%7B2%7D)
Now we have:
Cancel like terms
4/8 = 1/2
= 1 So it cancels
= s Since s is raised to the -1 it goes on top and becomes s.
![t / t^{2} = 1/t](https://tex.z-dn.net/?f=t%20%2F%20t%5E%7B2%7D%20%20%3D%201%2Ft)
Now we combine everything back together:
![\frac{s}{2t}](https://tex.z-dn.net/?f=%5Cfrac%7Bs%7D%7B2t%7D)
Answer: $454.55
Step-by-step explanation:
Tito's weekly salary is always $ 500 per week.
But your weekly commission income depends on the sales you make. Your commissions are 55%.
If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:
![z (x) = 0.55x + 500](https://tex.z-dn.net/?f=z%20%28x%29%20%3D%200.55x%20%2B%20500)
We wish that
.
Then we equate the equation to 750 and solve for the variable x.
![0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250](https://tex.z-dn.net/?f=0.55x%20%2B%20500%20%3D%20750%5C%5C%5C%5C0.55x%20%2B%20500-500%20%3D%20750-500%5C%5C%5C%5C0.55x%20%3D%20250)
![\frac{0.55}{0.55}x = \frac{250}{0.55}](https://tex.z-dn.net/?f=%5Cfrac%7B0.55%7D%7B0.55%7Dx%20%3D%20%5Cfrac%7B250%7D%7B0.55%7D)
![x = \$\ 454.55](https://tex.z-dn.net/?f=x%20%3D%20%5C%24%5C%20454.55)
Total sales made by Tito must be $454.55