Answer:
The daily rate is $33 and the per mile rate is $0.35
Step-by-step explanation:
4x + 440y = 286
3x + 190y = 165.5
We can solve this systems of equations by multiplying the second statement by
to try and eliminate the x variable.
4x + 440y = 286
-4x -
y = -220![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
y= ![\frac{196}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B196%7D%7B3%7D)
560y = 196
y = 0.35
So, the rate per mile is 0.35. Now, with this info, let's find the daily rate by plugging it into the equation.
![4x + 440\cdot0.35 = 286\\4x + 154 = 286\\4x = 132\\x = 33](https://tex.z-dn.net/?f=4x%20%2B%20440%5Ccdot0.35%20%3D%20286%5C%5C4x%20%2B%20154%20%3D%20286%5C%5C4x%20%3D%20132%5C%5Cx%20%3D%2033)
So, the daily rate is $33 and the mile rate is $0.35.
Hope this helped!
21 times because you need 7/4=1 gallon and 3/4 just for one and 7x3 =21 so need 21/4
AngleGEF, the first option!!
Answer:
Miranda made 9 visits to the store and Savannah made 7 visits to the store
Step-by-step explanation:
To find how many times Miranda and Savannah went to the store we would need to find the Greatest Common Multiple of the amount that each of them spends per visit. We do this by simply going through each of these numbers' times tables until we find a common one.
7 * 1 = 7 9 * 1 = 9
7 * 2 = 14 9 * 2 = 18
7 * 3 = 21 9 * 3 = 27
7 * 4 = 28 9 * 4 = 36
7 * 5 = 35 9 * 5 = 45
7 * 6 = 42 9 * 6 = 54
7 * 7 = 49 9 * 7 = 63
7 * 8 = 56
7 * 9 = 63
Finally, we can see that the first time that both Miranda and Savannah have spent the exact same amount would be when Miranda made 9 visits to the store and Savannah made 7 visits to the store. Each of which wasted $63
Step-by-step explanation:
<ABD = arcsin 1/5 = 11.5 degree
so <DBC = 90 - 11.5 = 78.5 degree
BD = Square root (5^2 - 1^2) = 4.9
DC = 4.9 * tan 78.5 = 24 (rounded!)
AC = 1 + 24 =25