Answer:
Kayla can put 9 stickers in each bag.
she can distribute it into bags of 9 stickers each of the same colour.
Step-by-step explanation:
Given;
yellow stickers = 36
red stickers = 27
blue stickers = 18
For her to distribute the stickers into bags so that each bag contains only one color of stickers and every bag has the same number of stickers without remainder.
We need to find the highest common factor of the number of the three colours.
36 = 4×9
27 = 3×9
18 = 2×9
We can see that they are all divisible by 9
Therefore, she can distribute it into bags of 9 stickers each
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:
Adding the 2 known angles: 60° + 100° = 160° We subtract this from 180°. 180° – 160° = 20°. Our missing angle is 20°. To find a missing angle in a triangle we subtract the two known angles from 180°.
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
To find the ratio of yellow to red marbles, divide the numbers of yellow marbles by the number of red marbles
Let
x-----> the numbers of yellow marbles
y----> he number of red marbles
we have
so
Plug y=-5 into the equation
6x+8(-5)=-22
6x-40=-22
6x=-22+40
6x=18
x=3
