Answer: 11:7
Step-by-step explanation:
Number of green colored pencils=11
Number of blue colored pencils= 7
Number of red colored pencils= 3
Total number of colored pencils= 11+7+3= 21
Ratio of green colored pencils to blue colored pencils= 11:7
Answer:
The Company AB must sell 116 computers to break even
Step-by-step explanation:
we have
-----> equation A
----> equation B
where
C is the cost function
R is the revenue function
x is the number of computers sold
we know that
Break even is when the cost is equal to the revenue
so
equate equation A and equation B

Solve for x
subtract 1/4x both sides



Divide by 1.25 both sides

therefore
The Company AB must sell 116 computers to break even
Answer:
$2,100
Step-by-step explanation:
In two weeks there is 14 days so, I times 150 by 14 which is 2100.
Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?
Assume that, the tanks are rectangular in shapes and differ only on their heights. The volume of the larger tank is
V1 = l × w × h1 while the volume of the smaller tank is V2 = l ×w × h2. The ratios of the capacities is

Solving for the height of the smaller tank h2


1000000 × h2 = 51200 × 300 cm
h2 = (51200 × 300 cm) /1000000
h2 = 15.36 cm


Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.