gina saved $14
convert your percentage into a decimal: 20% converts to 0.20
then, just multiply 0.20 with 70. you should get 14.
Answer:
Step-by-step explanation:
Factor top and bottom.
The numerator is a difference of two squares, and the denominator is a quadratic.
= 
= 
If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give
= 
=
Answer:
A.) 194,538
Step-by-step explanation:
the value of 5 in the number 95,126 is equal to 5,000. 1/10 of the value 5,000 is 500 (500 x 10 = 5,000). the value that the 5 is at in the number 194,538 is the hundreds place, so the calue is equal to 500, 1/10 of 5,000.
Answer:
1/9 yd.
Step-by-step explanation:
2/3 /6= 2/3 /6/1 = 2/3 x 1/6= 2/18=1/9
Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.
Then, the perimeter is given by
4
x
+
3
y
=
160
.
4
x
=
160
−
3
y
x
=
40
−
3
4
y
The area of a rectangle is given by
A
=
L
×
W
, however here we have two rectangles put together, so the total area will be given by
A
=
2
×
L
×
W
.
A
=
2
(
40
−
3
4
y
)
y
A
=
80
y
−
3
2
y
2
Now, let's differentiate this function, with respect to y, to find any critical points on the graph.
A
'
(
y
)
=
80
−
3
y
Setting to 0:
0
=
80
−
3
y
−
80
=
−
3
y
80
3
=
y
x
=
40
−
3
4
×
80
3
x
=
40
−
20
x
=
20
Hence, the dimensions that will give the maximum area are
20
by
26
2
3
feet.
A graphical check of the initial function shows that the vertex is at
(
26
2
3
,
1066
2
3
)
, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.
Hopefully this helps!
Step-by-step explanation: hope this helps
