Answer:
19.53
Step-by-step explanation:
First let's find the new price of the backpack:
40% of 29.99 is
29.99 * 0.40 = 11.99
So the new price of the backpack is
29.99 - 11.99 = 18.00
Now let's find the price with tax
8.5% of 18.00 is
18.00 * 0.085 = 1.53
So the cost of the backpack is
18.00 + 1.53 = $19.53
Answer:
B
Step-by-step explanation:
The vertex is the turning point of the parabola.
First find the zeros by equating y to zero, that is
(x - 6)(x + 12) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 12 = 0 ⇒ x = - 12
The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, thus
= 
= 
= - 3
Thus the x- coordinate of the vertex is x = - 3 → B
The LCM is of 128 and 32 is 128
Answer:
The Area is 99 units², while the perimeter is 40 units
Step-by-step explanation:
Area can be found by multiplying the length of the rectangle by the width of the rectangle. Counting the boxes on the side gives you 11 horizontally and 9 vertically. Multiplying these two gives you an area of 99. The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Area is always squared which is why there is a ² after units.
Perimeter can be found by adding all 4 sides together. Counting the boxes gives you 11 + 11 + 9 + 9. This gives you a perimeter of 40. The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Perimeter is not squared like area.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
factors of 66: 1, 2, 3 ,6, 11, 22, 66
GCF: 6
