Answer:
1/24 ; 0.04166667
Step-by-step explanation:
2 5
/ - / = 5*3 / 8*3 = 16/24 - 15/24 = 16-15/24 = 1/24
3 8
Answer:
2
Step-by-step explanation:
8gallons=16 cup
8x16=128
62+2=64
128÷2=64
9514 1404 393
Answer:
(d) see below
Step-by-step explanation:
Since each grid square is 1/4 unit. the coordinates in terms of grid squares are ...
A(0.50, -1.25) ⇒ (0.50/.25, -1.25/.25) = (2, -5) . . . grid squares
Point A is located 2 squares right and 5 squares down on the grid. This matches choice D.
Answer:
a). N = 2
b). N = 16
c). t = 624 minutes
Step-by-step explanation:
Exponential model that shows the rumor spread through a group is

Where N = Number of teenagers who have heard the rumors
t = Duration after the rumor first started
(a). At the time t = 0

N = 2
Therefore, 2 teenagers started the rumor.
(b). At t = 5 hours
N = 
N = 15.96
N ≈ 16
16 teenagers heard the rumors after 5 hours.
(c). If N = 150
150 = 
75 = 
log(75) = 0.7t(log1.81)
1.87506 = 0.7t(0.25767)
t =
t = 10.395 hours
t ≈ 624 minutes
Therefore, after 624 minutes or rumor will be heard by 150 teenagers.
Answer:

Step-by-step explanation:
<u>slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.
3x +2y -6= 0
2y= -3x +6
<em>Dividing</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>

Thus gradient of given line= 
Parallel lines have the same gradient.
Thus gradient of line= 
Subst. m=
into the equation:

To find c, substitute a pair of coordinates.
When x=0, y=0,

Thus, the equation of the line is
.