Answer:
1100 cookies
Step-by-step explanation:
There are 3 types of cookies, the first represents 45% of the total, the second 25% and the last type there are 330. We can pose the following equation:
0.45 * x + 0.25 * x + 330 = x
solving for x:
x - 0.45 * x - 0.25 * x = 330
0.30 * x = 330
x = 330 / 0.3
x = 1100
which means that there are a total of 1100 cookies
Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
Answer:
C
Step-by-step explanation:
x - 7 > -6
x > -6 + 7
x > 1
• We change the inequality sign if we multiply or divide a negative number from both sides. But since it’s positive and we added it we won’t change the inequality sign.
Answer: 423.11 m^2
Step by step explanation:
Area of a circle formula pi*r^2
First solve the area of the big circle
3.14*21^2=1384.74 m^2
Now find the are of the smaller circle
r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2
Now we can minus the small area off the big area to get the shaded area.
1384.74-961.63=423.11 m^2
So the area of the shaded region is 423.11 m^2
