Answer:
36
Step-by-step explanation:
6 1/3 cups served is 18 so add another 18
Answer:
P(t) = 1000e^(0.01155)t
Step-by-step explanation:
Let the population of barangay be expressed according to the exponential formula;
P(t) = P0e^kt
P(t) is the population of the country after t years
P0 is the initial population
t is the time
If barangay has 1000 initially, this means that P0 = 1000
If the population doubles after 60years then;
at t = 60, P(t) = 2P0
Substitute into the formula
2P0 = P0e^k(60)
2 = e^60k
Apply ln to both sides
ln2 = lne^60k
ln2 = 60k
k = ln2/60
k = 0.01155
Substitute k = 0.01155 and P0 into the expression
P(t) = 1000e^(0.01155)t
Hence an exponential model for barangay's population is
P(t) = 1000e^(0.01155)t
The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;
- 219 gallons of 9% fat.
- 146 gallons of 7% fat.
<h3>What quantity of each type of milk is required for the desired 365 gallon?</h3>
It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.
Let x = quantity of 9% fat milk and
Let y = quantity of 4% fat milk
Therefore, by mass balance; we have;
x + y = 365.
Where; y = 365 - x.
Also, by fat balance; we have;
(9% × x) + (4% × y) = (7% × 365)
9x + 4y = 2555
Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;
9x + 4 (365 - x) = 2555
5x = 1095
x = 1095/5
x = 219 gallons.
Also, y = 365 - 219 = 146 gallons.
Read more on simultaneous equations;
brainly.com/question/16863577
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Answer:
The system is INCONSISTENT.
Equation of two parallel lines differ only by a constant.
Step-by-step explanation:
The given equations are:
2x + y = -11
6x + 3y = 15
From the graph we see that these lines are parallel. Any two parallel lines never meet. Hence, they do not have a solution.
Hence, the system is called an Inconsistent system.
Also, note that it can be seen easily from the equations are parallel without the help of a graph.
The equation 6x + 3y = 3(2x + y)
The terms (except for the constant term) are proportional. That means they represent parallel lines.
Hence, the answer.
