To work the problem out isolate k by subtracting 0.5 from both sides:
(k+0.5)-0.5=1.6-0.5
k=1.1
Hope i could help.
Answer:
24weeks
Step-by-step explanation:
So if she spends 5$ three times a week she spends 15$ a week
She babysits once a week for 40$
That means that she saves 25$ from babystitting each week
As she already has saved 200$, she only lacks 600$ for the purchase
600$ / (25$/week) = 24 weeks
If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop
Answer:
![(x-4)^2+(y+2)^2=4](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y%2B2%29%5E2%3D4)
Step-by-step explanation:
A circle is the set of all points on a plane at a given distance (radius) from a given point (center). The general equation of a circle with center
and radius
is given by:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Therefore, replacing the data provided into the previous equation:
![Center=(4,-2)=(h,k)\\\\h=4\\\\k=-2\\\\Radius=2\\\\r=2](https://tex.z-dn.net/?f=Center%3D%284%2C-2%29%3D%28h%2Ck%29%5C%5C%5C%5Ch%3D4%5C%5C%5C%5Ck%3D-2%5C%5C%5C%5CRadius%3D2%5C%5C%5C%5Cr%3D2)
![(x-(4))^2+(y-(-2))^2=(2)^2\\\\(x-4)^2+(y+2)^2=4](https://tex.z-dn.net/?f=%28x-%284%29%29%5E2%2B%28y-%28-2%29%29%5E2%3D%282%29%5E2%5C%5C%5C%5C%28x-4%29%5E2%2B%28y%2B2%29%5E2%3D4)
So, the equation of a circle with a radius of 2 and its center at (4,-2) is:
![(x-4)^2+(y+2)^2=4](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y%2B2%29%5E2%3D4)
I attach you the graph.
Answer:
5
Step-by-step explanation:
Let the number of
red marbles be r
blue marbles be b
yellow marbles be y and
green marbles be g
Let the Total number of marbles be T then
r + y + b + g = T
If all but 45 of the marbles are red then
y + b + g = 45
As such, r + 45 = T
all but 45 are yellow;
r + b + g = 45
As such, y + 45 = T
all but 45 are blue;
y + r + g = 45
As such, b + 45 = T
It means that the number of red, yellow and blue marbles are equal
Hence y = b = r
If all but 60 are green
y + b + r = 60
y + y + y = 60
3y = 60
y = 60/3 =20
This means that there are 20 yellow marbles, 20 red marbles and 20 green marbles
The total number of marbles T = 20 + 45 = 65
As such, g + 60 = T
g + 60 = 65
g = 65 - 60
= 5 marbles