Answer:
10 classes
Step-by-step explanation:
Ok, so to solve this we have to make two different equations. we can say 60x = y, or $60 per month, and 6a = b, or $6 per walk in. Since we want the options to end up costing the same, we can say that y = b. With substitution, we get that 60x, (60 per month) = 6a (6 per drop in). The question says we have 1 month, so x = 1. This means we have 60 = 6a, and a = 10 (10 classes).
Answer:
58
Step-by-step explanation:
set them equal and solve for b
70-2b=28+5b
7b=42
b=6
now plug be back in
28 + 5(6) = 58
Answer:
Each hiker carried the backpack for 1/5 of the total trail distance
Step-by-step explanation:
Three members of a teen hiking group hiked 3/5 of the entire Appalachian trail, each teen carried the backpack the same distance
=> each teen carried the backpack for = (1/3) (3/5) of total Distance = 1/5
Stand form of a circle is (x-h)²+(y-k)²=r², (h,k) being the coordinates for the center of the circle, r is the radius.
use the given three points to find the three unknown constants h, k, and r
(3-h)²+(1-k)²=r²
(-2-h)²+(6-k)²=r²
(-5-h)²+(-3-k)²=r²
expand these three equations:
9-6h+h²+1-2k+k²=r²
4+4h+h²+36-12k+k²=r²
25+10h+h²+9+6k+k²=r²
subtract equation 1 from equation 2, you get: 10h-10k=-30, h-k=-3
subtract equation 2 from equation 3, you get: 6h+18k=6, h+3k=1
subtract one form the other: 4k=4, k=1
h=1-3k=-2
find r²: (3+2)²+(1-1)²=r², (r=5)
so the equation is (x+2)²+(y-1)²=5²
Answer:
12
Step-by-step explanation:
