Answer:
Here is the answer
Step-by-step explanation:
Apples in 1 baskets=100
Apples in 64 baskets=100*64-6400
apples (before adding 30 apples in each
basket).... ..(1)
Some apples left unpacked
So he added 30 apples to each
Total apples added by him- 30*64(in each basket*no of baskets)
= 1920 apples
.(2)
So total no apples eq(1)+eq(2)
= 6400 apples + 1920 apples
=8320 apples packed in total
Therefore the total no. of apples packed were 8320 apples.
Hope this helps
Thanks
Answer:
y = - 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (3, - 4 ) with y- coordinate - 4 , then
y = - 4 ← equation of line
Finley can make 5 batches of her favorite orange paint if she has 15 liters of red paint. You can find this by dividing 15 by 3. The information about the yellow paint is unnecessary information and can be overlooked in the context given, and by dividing 15 by 3, you get 5.
Answer:
25 feet
Step-by-step explanation:
Given that Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?
To calculate the length of the kite string, we will apply pythagorean theorem.
Length = sqrt ( 20^2 + 15^2 )
Length = sqrt ( 400 + 225 )
Length = sqrt ( 625 )
Length = 25 feet.
Therefore, the length of the kite string is 25 feet.
Answer:
1
+6
x
+
12
x
2
+
8x
3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
