The sum of four and the product of three and a number
2 answers:
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Answer:
He sold 32 apples, 40 peaches and 60 apples.
Step-by-step explanation:
We are given that
4 apples are sold every 5 peaches and
3 tomatoes are sold every 2 peaches.
i.e. the ratio is apples: peaches = 4 : 5 ...... (1)
and the ratio peaches: tomatoes = 2 : 3 ...... (2)
Peaches are the common link here in both the ratio terms.
Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.
Multiply (1) by 2 and (2) by 5:
The ratio becomes;
apples:peaches = 8:10
peaches: tomatoes = 10:15
In other words, the ratio becomes:
apples:peaches:tomatoes = 8:10:15
Let the number of apples =
Let the number of peaches =
Let the number of tomatoes =
We are given that total fruits are = 132
So, number of apples sold =
Number of peaches sold =
Number of tomatoes sold =
Answer:
Step-by-step explanation:
The complete question is
Water flows into a tank according to the rate F(t)= (t+6)/(1+t), and at the same time empties out at the rate E(t)= (ln(t+2))/(t+1), with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest galllon, is in the tank at time t=10 minutes.
Let C(t) be the amount of water in the tank at time t. We now that the rate of change of the tank is given by
Unfortunately, the integral cannot be expressed using fundamental functions. So, the problem cannot have an specific function (if you are willing to know the complete answer, the integral of this function uses the polylogarithm function with n=2).
Since you want the exact amount of water at time, you need to give C a value, that is, you need to know an initial condition for the problem. This means, you need to know the amount of water in the tank at time 0