Answer:
Exact Form:
x
=
−
3/
2
Decimal Form:
x
=
−
1.5
Mixed Number Form:
x
=
−
1 1/
2
Step-by-step explanation:
Answer:
approximately 7 hours
see the explanation
Step-by-step explanation:
The picture of the question in the attached figure
Let
x ----> the time worked in hours
y ----> the amount earning in dollars
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
so
In this problem we have a proportional relationship
step 1
Find approximately how many hours would it take Delia to earn $250 ?
Looking at the graph
For y=$250 The value of x is approximately 7 hours
see the attached figure N 2
step 2
Find the exact value
from the graph take the point (5,175)
Find the value of k
----> 
The linear equation is

For y=$250
substitute

solve for x

88.8 acres are used for exhibits
Step-by-step explanation:
Given
Total area of Greenfield = 24 acres
Percentage of lad for exhibits = 37%
Now,

Hence,
88.8 acres are used for exhibits
Keywords: Percentage, percent
Learn more about percentage at:
#LearnwithBrainly
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427