Question

Asked Mar 11, 2019

47 views

Tom has a collection of 27 CDs and Nita has a collection of 18 CDs. Tom is adding 3 CDs a month to his collection while Nita is adding 6 CDs a month to her collection. Write and graph a system to find the number of months after which they will have the same number of CDs. Let *x* represent the number of months and *y* the number of CDs.

Step 1

We have given,

Number of CDs collected by Tom = 27 CDs

Number of CDs collected by Nita = 18 CDs

Step 2

Let the x represent the number of month and y represent the number of CDs

Tom is adding 3 CDs a month to his collection while Nita is adding 6 CDs a month to her collection.

According to problem, we can make equations as:

For Tom, total number of CDs , y = 27 + 3x

For Nita, total number of CDs , y = 18 + 6x

Step 3

We need to find number of month when number of Tom’s CDs collection is equal to Nita’s CDs collection

i.e...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linttarinequality Interval notation Espa...

A: The first inequality is,

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

Q: # 41 # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

Q: turning points. The graph of a polynomial function of degree n has, at most, turning points. The gra...

A: Definition of turning points of a polynomial function.

Q: Factor completely 128b^3+ 54=

A: Here, we take 2 common from both the terms and express the given expression in form of a^3+b^3. and ...

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the soluti...

A: Calculation:The given quadratic inequality is (x–6)(x+4)≤ 0.Change the inequality sign by equal sign...

Q: If x^3=3x^2, then what is x using the Zero-Product rule?

A: Given that x3 = 3x2.

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: Solve the equation for the unknown quantity 19.42 = P(1.2)3

A: First we simplify (1.2)^3.(1.2)^3=1.728