Answer:6x+25
109
Step-by-step explanation:
X is the amount of years since 1995
2009 is 14 years so plug in 14 for x and solve
Answer: 15%
Because 3162.50 divided by 2750 is 1.15
1.15 x 100 is 115%
115-100 = 15% increase
Answer:
Therefore the depth of the water is changing at the instant when the water in the tank is 9 cm deep at rate / min.
Step-by-step explanation:
Given that,
Radius of the cone(r)= 6 cm
Height of the cone (h)= 12 cm
The volume of the cone is (V)
Putting
Differentiating with respect to t
....(1)
Given that water is drained out of tank at the rate 3 / min.
It means the rate change of volume is 3 / min that is
Putting the value of in equation (1)
To find the rate of the depth of water changing at 9 cm depth, we need to put h=9 cm in the above equation.
/ min.
Therefore the depth of the water is changing at the instant when the water in the tank is 9 cm deep at rate / min.
Area=1/2 times base times height
area=60
height=12
60=1/2 times base times 12
divide both sides by 12
5=1/2 times base
multipy both side sby 2
10=base
10 units=base
9514 1404 393
Answer:
10/33
Step-by-step explanation:
The usual approach (if your calculator won't do this for you) is to convert the mixed number to an improper fraction, then perform the division. That division can be accomplished by multiplying the numerator by the inverse of the denominator.
1 7/15 = (15+7)/15 = 22/15
Then ...
(4/9)/(22/15) = (4/9)(15/22) = (2·2·3·5)/(3·3·2·11) = (2·5)/(3·11) = 10/33
_____
<em>Alternate solution</em>
Both fractions can be given the same denominator:
4/9 = 20/45
1 7/15 = 22/15 = 66/45
Now, the division is ...
(20/45)/(66/45) = 20/66 = 10/33