Answer:
1798 and 32798
Step-by-step explanation:
31000/100=310
310x5.8=1798
4 pound of oats twice a day= 8 pounds of oats each day per horse. He has 4 horses so 4 horses times 8 pounds of oats is 32. You multiply 32 pounds times the three days he has to feed which is 96 pounds.
For the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.
So number of combinations is 10*9*9*9*9 = <span>65610</span>
Answer:
3500 students actually enroll
Step-by-step explanation:
20000*0.7*.25=3500
Answer:
![50\ units^{2}](https://tex.z-dn.net/?f=50%5C%20units%5E%7B2%7D)
Step-by-step explanation:
Plot the figure to better understand the problem
see the attached figure
we know that
If the figure is a rectangle
then
![AB=CD \\AD=BC](https://tex.z-dn.net/?f=AB%3DCD%20%5C%5CAD%3DBC)
The area of the rectangle is equal to
![A=B*h](https://tex.z-dn.net/?f=A%3DB%2Ah)
where
B is the base
h is the height
the base B is equal to the distance AB
the height h is equal to the distance AD
Step 1
Find the distance AB
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
![A(-5,5)\\B(0,-5)](https://tex.z-dn.net/?f=A%28-5%2C5%29%5C%5CB%280%2C-5%29)
substitute the values
![d=\sqrt{(-5-5)^{2}+(0+5)^{2}}\\d=\sqrt{(-10)^{2}+(5)^{2}}\\dAB=\sqrt{125}\ units](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-5-5%29%5E%7B2%7D%2B%280%2B5%29%5E%7B2%7D%7D%5C%5Cd%3D%5Csqrt%7B%28-10%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5CdAB%3D%5Csqrt%7B125%7D%5C%20units)
Step 2
Find the distance AD
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
![A(-5,5)\\D(-1,7)](https://tex.z-dn.net/?f=A%28-5%2C5%29%5C%5CD%28-1%2C7%29)
substitute the values
![d=\sqrt{(7-5)^{2}+(-1+5)^{2}}\\d=\sqrt{(2)^{2}+(4)^{2}}\\dAD=\sqrt{20}\ units](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%287-5%29%5E%7B2%7D%2B%28-1%2B5%29%5E%7B2%7D%7D%5C%5Cd%3D%5Csqrt%7B%282%29%5E%7B2%7D%2B%284%29%5E%7B2%7D%7D%5C%5CdAD%3D%5Csqrt%7B20%7D%5C%20units)
Step 3
Find the area of the rectangle
![A=AB*AD](https://tex.z-dn.net/?f=A%3DAB%2AAD)
we have
![dAB=\sqrt{125}\ units\\dAD=\sqrt{20}\ units](https://tex.z-dn.net/?f=dAB%3D%5Csqrt%7B125%7D%5C%20units%5C%5CdAD%3D%5Csqrt%7B20%7D%5C%20units)
substitute
![A=\sqrt{125}*\sqrt{20}\\A=\sqrt{2,500}\\A=50\ units^{2}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7B125%7D%2A%5Csqrt%7B20%7D%5C%5CA%3D%5Csqrt%7B2%2C500%7D%5C%5CA%3D50%5C%20units%5E%7B2%7D)