Answer:
85 pens
Step-by-step explanation:
The computation of the number of green pens sold is shown below;
As the number of black pens, red pens, and green pans is 3:5:6
And, the ratio of sold of black pens, red pens, and green pans is 7:3:4
So, the ratio of pens in a number of pens is
= 3 × 7 : 5 × 3 : 4 × 6
= 21: 15 : 24
= 7: 5 : 8
And, the total of 212 pens are sold
So, the number of green pens sold is
= 8 × 212 ÷ (7 + 5 + 8)
= 85 pens
Any number above 1 gets greater, below 1 smaller (when above 0), while 1 itself remains the same. Negative numbers are more unpredictable.
Answer:
Step-by-step explanation:
Answer-The vector is
=
7
→
i
−
24
→
j
and the magnitude is
=
25
Explanation:
Let the point
A
=
(
−
2
,
7
)
and
B
=
(
5
,
−
17
)
Then,
−−→
A
B
=
(
5
−
(
−
2
)
−
17
−
7
)
=
(
7
−
24
)
The magnitude of
−−→
A
B
is
∣
∣
∣
∣
∣
∣
−−→
A
B
∣
∣
∣
∣
∣
∣
=
√
(
7
)
2
+
(
−
24
)
2
=
25
Step-by-step explanation:
Alternate interior angles are equal, thus the given alternate interior angle is 80 degrees.
Therefore, x = 80 - 15 = 65 degrees.