Answer:
7 months
Step-by-step explanation:
An equation which gives us J's weight after any particular month is
W(m) = 180 lb - (5 lb/mo)t
Her goal weight is 145 lb.
Therefore, write:
W(m) = 145 lb = 180 lb - (5 lb/mo)t.
We must solve this equation. To do so, subtract 180 lb from both sides of the equation:
145 lb - 180 lb = - (5 lb/mo)t
-35 lb = - (5 lb/mo)t
t = 35 lb / (5lb/mo) = 7 mo
J. must diet for 7 months to get her weight down to 145 lb from 180 lb.
5/8
The sectors are labeled 1,2,3,4,5,6,7,8
Numbers less than 4: 1,2,3
Multiples of 4: 4,8
We are looking for 1,2,3,4,8 = 5 choices
P (1,2,3,4,8) = Number of choices/ total
= 5/8
(1,6)
x = 1, y = 6
See attachment for the graph
y=x+5
y=-x+7
Using the elimination process
- y=-x+7
----------------
0=2x-2
2=2x
1=x
x=1
Substitute x = 1
y = x + 5
y = 1 + 5
y = 6
x = 6 sqrt(3)
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+ x^2 = 12^2
36 + x^2 = 144
Subtract 36 from each side
x^2 = 144-36
x^2 =108
Take the square root of each side
sqrt(x^2) = sqrt(108)
x = sqrt(36*3)