total cost = 10 * adults + 6 * children
total cost = 10*2 + 6 * 3
total cost = 20 + 18
total cost = 38
Ac method
for y=ax^2+bx+c
the ac method is normally used for when a≠1
it is used as an aid to help factor
so
0=1x^2-8x+15
multiply a and c (1 times 15=15)
what 2 numbers mulitply to get 15 and add to get -8?
-3 and -5
split the middle up to that
0=1x^2-3x-5x+15
group
0=(x^2-3x)+(-5x+15)
undistribute
0=x(x-3)-5(x-3)
undistribute (x-3)
0=(x-5)(x-3)
set to zero
x-5=0
x=5
x-3=0
x=3
solutions are x= 3 and 5
Given:
Principal = 17,000
rate = 10.7%
term = x/360
interest = 1,121.72
Interest = Principal * rate * term
1,121.72 = 17,000 * .107 * x/360
1,121.72 = 1,819x / 360
1,121.72 * 360 = 1,819x
403,632 / 1,819 = x
221.90 = x
Lauren Michelle will have to wait 222 days for her investment to earn $1,121.72
Given:
Principal = x
rate = 9%
term = 10 months
interest = 1,687.50
Interest = Principal * rate * term
1,687.50 = x * 0.09 * 10/12
1,687.50 = x * 0.075
1,687.50 / 0.075 = x
22,500 = x
The amount Sandra Leatherwood invested was $22,500.
<h3>
Answer:</h3><h3>
As a mixed number, the volume is 60 & 5/8 cubic inches</h3><h3>As a decimal number, the volume is 60.625 cubic inches</h3>
Both represent the same thing, just written in a different format.
======================================================
Work Shown:
1/8 = 0.125
12 & 1/8 = 12 + 1/8 = 12 + 0.125 = 12.125
1/4 = 0.25
1 & 1/4 = 1 + 1/4 = 1 + 0.25 = 1.25
The block has dimensions: 4 in by 1.25 in by 12.125 in
The volume of a rectangular block is the product of the length, width and height.
volume = length*width*height
volume = 4*1.25*12.125
volume = 60.625
Let's convert the result to a mixed number
60.625 = 60 + 0.625
60.625 = 60 + 625/1000
60.625 = 60 + (5*125)/(8*125)
60.625 = 60 + 5/8
60.625 = 60 & 5/8
Using a calculator, note that 5/8 = 0.625
The units for the volume are in cubic inches
(inch)*(inch)*(inch) = (inch)^3 = cubic inches