Let's put this into only hours to make it simple.
Multiply 7 and 4 by 24.
7x24 = 168
4x24 = 96
Now that we have the total hours of days, add the extra hours to the total hours of days,
168 + 4 = 172
96 + 7 = 103
Subtract the two totals.
172-103 = 69.
There are 69 total hours left. Now we need to convert that into days and hours, so divide 69 by 24.
69/24 = 2.875, or 2 days.
We have 2 days, which is 48 hours.
Subtract 48 from 69.
69 - 48 = 21. We have 21 hours.
Our difference is 2 days and 21 hours. I hope this helps!
Answer:
<h2>m = 21, b = 5 → y = 21x + 5</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
The formula of a slope:
=====================================
From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).
Calculate the slope:
A = 4,
we denote one side of the rectangle with
a
, and the other with
b
we can write, that:
a
⋅
b
=
16
so we can write, that
b
=
16
a
Now we can write perimeter
P
as a function of
a
P
=
2
⋅
(
a
+
16
a
)
We are looking for the smallest perimeter, so we have to calculate derivative:
P
(
a
)
=
2
a
+
32
a
P
'
(
a
)
=
2
+
(
−
32
a
2
)
P
'
(
a
)
=
2
−
32
a
2
=
2
a
2
−
32
a
2
The extreme values can only be found in points where
P
'
(
a
)
=
0
P
'
(
a
)
=
0
⇔
2
a
2
−
32
=
0
2
a
2
−
32
=
0
x
a
2
−
16
=
0
×
x
.
.
a
2
=
16
×
×
x
a
=
−
4
or
a
=
4
Since, length is a scalar quantity, therefore, it cannot be negative,
When
a
=
4
,
b
=
16
4
b
=
4