1. She can travel 18 miles. Subtract 35 - 2 (initial fee) to have 33. divide 33 by 1.75 to get 18.85. To check how much her total would be, use inverse operations. 18.85 * 1.75 = 32.9875. 32.9875 + 2 = 34.9875. It is barely under $35 but still in her budget.
2. 20m * $1.75 = $35. $70 - $35 = $35. Yes, she can cover the fare. Samantha has more than needed. She can afford the taxi fare and still have money left for future use.
Answer:
k=2/3
Step-by-step explanation:
Step 1:
Step 1 in solving the exponential equations is re-writing the base same as other side of the equation
so,
![25^{3k}=625\\=> 25^{3k}=25^2](https://tex.z-dn.net/?f=25%5E%7B3k%7D%3D625%5C%5C%3D%3E%2025%5E%7B3k%7D%3D25%5E2)
Step 2:
Second step is equating the exponents
The rule used is:
![If\ B^m=B^n\ then\ m=n](https://tex.z-dn.net/?f=If%5C%20B%5Em%3DB%5En%5C%20then%5C%20m%3Dn)
So in this case
![3k=2\\k = \frac{2}{3}](https://tex.z-dn.net/?f=3k%3D2%5C%5Ck%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
So the solution is:
k=2/3 ..
Answer:
28
Step-by-step explanation:
if (AB and DC) parallels lines than the equation is alternate interior and therefore congruent to each other
The area are in the ratio of the squares of corresponding sides.
That is 15^2 : 20^2 = 225:400
so the area of the smaller figure = (225/400) * 64
= 0.5625 * 64
= 36 cm^2 (answer)
Answer:
x=3
Step-by-step explanation:
You add the eight to both sides, leaving x on the left and making the -2 a 6 on the right.
Now you have x= 3x-6
Add the six to the right, giving you 6+x=3x
Subtract the x from the left and right. you get 6=2x
Divide 6 by 2 to get x.