Answer:
Alyssa buys 4 cups of frozen fruit puree and 2 cups of yogurt.
Step-by-step explanation:
Here, x = Represent cups of frozen fruit puree
y = Represent cups of yogurt.
The given system of equations by Marni are:
x + y = 6,
2x + 3y = 14
After first step of elimination,the equations are:
-2x - 2y = -12
2x + 3y = 14
Now, ADD BOTH THE EQUATIONS to eliminate the variable x:
-2x - 2y + (2x + 3y) = -12 + 14
or, y = 2
Now, put y =2 in x + y =6, we get
x = 6 - y = 6 -2 = 4
So, x = 4 and y = 2 is the solution of the given system.
Hence, Alyssa buys 4 cups of frozen fruit puree and She buys 2 cups of yogurt.
Answer:
what grade is this
Step-by-step explanation:
and just ask the teacher for help but I'mma help u hol up
Answer:
Oook, quick setup: pick a cartesian plane, be
the position of the helicopter as time passes, and
your position as you start running. In my horrible sketch, the green line is the distance when you start running, the red line is the distance you need, in general what you want is to move one end of the segment up, the other right, and stretch it.
That distance is easily found with the formula for the distance between two points in the plane, or
(playing a bit with the squares). At this point we need to write down expressions for both
and find at what value of t we need to evaluate our distance.
For the sake of semplicity, let's start measuring times the moment you start running. Since speed is constant, both expressions will be of the form 
The equation for the runner becomes simply
, since you haven't moved until the heli is high enough.
The equation of the helicopter is
since the heli is 30ft above ground when you start running.
Finally, we need to know how many seconds have passed when the heli is at 60 ft above ground. that happens when
. in this time, you are at
from the origin.
Plugging it in the distance formula you get: 
Answer:
1. 18
2. 2412
Step-by-step explanation:
1. Monday 3
Tuesday 6
Wensday 9
Thursday 12
Friday 15
Sunday 18
_____________________________________________________
2.
603*4=2412
Answer:
16π m2
Step-by-step explanation:
The area of a sector (A) is given by:

Where
is the angle of the sector
r is the radius of the circle
<em>We can see that the angle of the sector is 90, and the radius of the circle is 8. Plugging these into the formula, we get:</em>

The area is 16π m2