Answer:
c
a
b
Step-by-step explanation:
Answer:
k = 18
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 3 when x = 6, that is
3 =
( multiply both sides by 6 )
18 = k
The constant of variation is k = 18
Answer:
The total cost is $95.32.
Step-by-step explanation:
Given:
Total came to $76.75. There is an 8% sales tax and 15% tip.
Now, to find the total cost.
<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>
$76.75 + 8% of $76.75




The cost after sales tax is $82.89.
Now, <em>the cost after 15% tip:</em>
$82.89 + 15% of $82.89




The cost after the tip is $95.32.
Therefore, the total cost is $95.32.
Given:
Quadrilateral with opposite lines are parallel.
To find:
The value of x
Solution:
Quadrilateral with opposite lines are parallel.
Therefore the quadrilateral is a parallelogram.
In parallelogram, the adjacent angles are supplementary angles.
⇒ 48° + x = 180°
Subtract 48° from both sides.
⇒ 48° + x - 48° = 180° - 48°
⇒ x = 132°
The value of the angle x is 132°.
4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5
per minute.
Step-by-step explanation:
The given is,
Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.
Oil drained at a rate of 2.5
per minute.
Step:1
Time taken to dry the oil tank is,
T =
....................................(1)
Step:2
Volume of the oil is,
.................................................(2)
Where, r - Radius of Cylinder

r = 1.1 ft
From eqn (1),
V =
×
× 3
= 11.40398 
Step:3
From equation (1)
=
= 4.56
= 4.56 minutes
T = 4 minutes 34 seconds
Result:
Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.