In solving this type of problem always look for the person you don't have any information about in this case it's Eve therefore Eve is X, Justin has $7.50 more than Eve, therefore
X+$7.50 is Justin and Emma has $12 less than Justin, therefore subtract $12 from Justin X+$7.50-$12, since the total amount is $63 add all the numbers and equal them to $63.
x+7+x+7.5-12+ x=63
3x+3=63
3x=60
x=20
Plug in the x for each person
therefore Eve=$20
Justin=$20+$7.50= $27.50
Emma has $12 less than Justin therefore $15.50
Add all the money and it equals $63
Answer:
x= -1
Step-by-step explanation:
8x - 16 = -4x - 4(1-6x)
8x - 16 = -4x - 4+24x
8x - 16 = 20x-4
8x - 16+16 = 20x-4+16
8x = 20x+12
8x-20x = 20x-20x+12
-12x=12
Divide both by -12, and you get -1.
Answer:
5r-1+3r=7r+1
5r+3r-7r=1+1
r=2
If it helps you can I get brainliest
Step-by-step explanation:
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
We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
