Answer:
0.1
Step-by-step explanation:
To set this question up:
1/2 / 5
To solve this turn 5 into 5/1. Then multiply by the reciprocal. (1/5) 1/2 times 1/5 is 0.1
Answer:
As a fraction, A is 3/8 concentrate in final product and B is 4/11.
A is, in other words, 33/88, and B is 36/88 concentrate in the final mixture.
So Mixture B is stronger, slightly.
Note that in order to make the fractions the same denominator, we had to 'expand' each fraction with the denominator of the other fraction. After that, the numbers are really easy to compare.
Answer:
Kira has 40 Jelly beans
Step-by-step explanation:
Morgan and Kira have a number of jelly beans in a ratio 5:3.
The ratio is
Morgan : Kira
5:3
The total proportion is= 5 + 3 = 8
Total number of Jelly beans that they have together is = 64 jelly beans
Hence, the number of Jellybeans that Kira has is calculated as:
5/8 × 64 jelly beans
= 40 jelly beans.
Kira has 40 Jelly beans
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
Answer:
-2x-6
Step-by-step explanation:
-2(×+3)
-2x-2.3
-2x-6
