Problem 10:
Step One: Write the expression
When a problem says some number (in this case 17) more than a variable it almost always refers to addition. So we know that the expression's operation is addition. We are adding 17 to our variable, n. It should look like this:
n + 17
Step Two: Replace n with a Number
Pick your favorite number and replace n with that number. For simplicity's sake, I will choose the number 2. So n + 17 becomes:
17 + 2
Notice how n has been replaced with our number. Remember n could be any number, but I chose 2.
Step Three: Simplify the expression.
17 + 2 becomes 19
Problem 11:
Step One: Write the Expression
The first part of our expression is: g =
G represents the total cost of Paresh's day at the bowling alley, including all 5 games and shoe rental.
We know that to rent shoes, it cost Paresh 4 dollars. That becomes the second part of our expression. So now we have:
g = + 4
We also know that he played 5 games of bowling, but we don't know how much Paresh paid per game. So to represent the cost of each individual game, we will use the variable x. He played 5 games, so the third and final part of our expression is 5x. So our final result is:
g = 5x + 4
Just find 2/3 of 50 its easy!
The second-order equation as its equivalent system of first-order equations is
![\left[\begin{array}{ccc}u(1)\\\\v(1)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Du%281%29%5C%5C%5C%5Cv%281%29%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}7.5\\\\9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7.5%5C%5C%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
An equivalent system that has the identical answer is known as an equivalent structure. Given a gadget of two equations, we can produce an equal system by way of replacing one equation by means of the sum of the 2 equations, or by way of changing an equation by means of a couple of of itself.
Systems of linear equations are equivalent if and handiest in the event that they have an equal set of solutions. In other phrases, two systems are equal if and only if each answer of one in all of them is likewise a solution of the opposite.
In the structures sciences, a machine equivalent system is the conduct of a parameter or thing of a machine in a way just like a parameter or component of a distinctive system. Similarity means that mathematically the parameters and additives will be indistinguishable from each different.
Taking v = u, we have:
u" + 4u' + 6u = 4sin(3t)
--> v' + 4v + 6u = 4sin(3t)
So the system of equations is:
u' = 0u + 1v
v' = -6u - 4v + 4sin(3t)
So we can write it as:
u(1) = 7.5
v(1) = u'(1) = 9
So the initial condition matrix is:
=
Learn more about the equivalent system here brainly.com/question/14878855
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Answer:
Number of movies that can be shown = 2
Step-by-step explanation:
Given:
Movie night duration = 4 hours
Duration of each movie = 1.75 hours
Time given for eating popcorn = 0.5 hours
Time alloted for movies (excluding popcorn time) = 4 - 0.5 = 3.5 hours.
Number of movies that can be shown = 
