Answer: $54.35
Step-by-step explanation:
If each one of the 15 students raises the same amount, let's define this amount by the variable X, then the total amount they will collect is 15 times X, or:
15*X
And the minimum amount they need to collect is $800
Then we will have the inequality:
15*X ≥ $800
Now we can divide both sides by 15 to get the minimum amount that each student needs to raise:
(15*X)/15 ≥ $800/15
X ≥ $54.33...
Where we should round up the right number to $54.35, because we can not have a $0.0333... and if we round down, they would collect less than $800.
Then the inequality is:
X ≥ $54.35
This means that the minimum amount that each one of the 15 students needs to collect is $54.35
Answer:
Step-by-step explanation:
In order to solve for this equation we have to note a couple of things.
There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.
The side length of the smaller square (4) is also the hypotenuse of this triangle.
Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.
The Pythagorean Theorem states that 
, where a and b are the legs and c is the hypotenuse.
We can substitute 3 in as a and 4 in as c and find b.
So b is 
units long.
Hope this helped!
Assuming the top of the hill is 0.
Squirrel begins at 0 = 0
Squirrel runs down 23 feet = 0 - 23 = -23
Squirrel runs up 23 feet = -23 + 23 = 0
An integer that represents the squirrel's final position is 0.
Hope this helps!! :)
Answer:
60
Step-by-step explanation:
A circle is 360 degrees
1/6 of 360
1/6 * 360 = 60
the 1 is the h and the -2 is the k
f(x) = a(x - h)^2 + k
f(x) = a(x-1)^2 -2
to find a substitute x=3, y=6 in
6= a(3-1)^2 -2
6 =a *2^2 -2
add 2 to each side
8 = 4a
a =2
f(x) = 2(x-1)^2 -2 this is the vertex form
distribute to get the standard from
f(x) = 2(x^2-2x+1) -2
2x^2 -4x+2-2
f(x) =2x^2-4x is the standard form
Choice A
