The price for each one was 3 dollars :)
9 + 11x = 42
subtract 9 from each side
11x = 33
divide by 11
x = 3
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
To find how much the temperature fell we must find the difference of both numbers and to do this we subtract them;
20 - (-5) = 25 degrees
Answer:
Jayanta needs 2 labor union groups and 8 church groups.
Step-by-step explanation:
Let c denotes churches
.
Let l denotes labor unions.
We know that Jayanta can only spend 20 hours letter writing and 14 hour of follow-up.
So, equations becomes:


And total money raised can be shown by = 
We have to maximize
keeping in mind that
and
We will solve the two equations:
and 
We get l = 2 and c = 8
And total money raised is
=
dollars.
Hence, Jayanta needs 2 labor union groups and 8 church groups.
Answer:
280 more miles.
Step-by-step explanation:
The question stem "how many more" usually means your going to need to subtract somewhere in this problem.
If your destination is 400 miles away, and you have already driven 120 miles, all we need to do it subtract 120 from 400.
