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sukhopar [10]
3 years ago
15

Eric has rock and classical CDs in his car. The number of rock CDs is 3 more than the number of classical CDs. Let c represent t

he number of classical CDs. Write an expression for the number of rock CDs.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0
Rock CD= (classical CDs + 3)
R=c+3
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Use the distributive property with factoring to find the equivalent expression. 24n + 32w = (3n + w)
pashok25 [27]

Answer:

Step-by-step explanation:

24n + 32w = (3n + w)

We're asked to use distributive property, this means that we have to find a way that the given expression on the left hand side is equal to the given incomplete exresssion on the right hand side. In so doing, we're fulfilling the distributive property tag.

Given 3n, 3 factorises 24 into 8, and at the same time, factorises 32 into 4. Thus, we can then conclude that

24n + 32w = 8(3n + 4w)

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3 years ago
Factored form of 2x*2+13x+20
cricket20 [7]

Answer:

(2x+5)(x+4)

Step-by-step explanation:

After factoring we can find that it equals

(2x+5)(x+4)

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3 years ago
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One number is 4 times another number. The sum of their reciprocals is 5. What are the two numbers?
ivann1987 [24]

Answer:

The two number are:

y=1,\:x=\frac{1}{4}

Step-by-step explanation:

  • Let 'x' be the first number
  • let 'y' be the second number

Given that one number is 4 times another number, the first equation is

y = 4x

Next, the sum of their reciprocals is 5, so

\frac{1}{x}+\frac{1}{y}=5

Now, we have the system of equations

\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}

Let us solve the system of equations

\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}

substitute y = 4x in the equation \frac{1}{x}+\frac{1}{y}=5

\frac{1}{x}+\frac{1}{4x}=5

Least Common Multiple of x, 4x:  4x

Adjust fractions based on L.C.M

\frac{4}{4x}+\frac{1}{4x}=5

\frac{4+1}{4x}=5

\:\frac{5}{4x}=5

Multiply both sides by 4x

\frac{5}{4x}\cdot \:4x=5\cdot \:4x

Simplify

5=20x

switch sides

20x=5

Divide both sides by 20

\frac{20x}{20}=\frac{5}{20}

Simplify

x=\frac{1}{4}

For y = 4x, substitute x=\frac{1}{4}

y = 4x

y=4\cdot \frac{1}{4}

y=1

Therefore, the two number are:

y=1,\:x=\frac{1}{4}

<u>Verification:</u>

\frac{1}{x}+\frac{1}{y}=5

substituting y=1,\:x=\frac{1}{4}

\:\frac{1}{\frac{1}{4}}+\frac{1}{1}=\:5\:\:

4+1=5

5 = 5

L.H.S = R.H.S

and

y = 4x

substituting y=1,\:x=\frac{1}{4}

y\:=\:4\left(\frac{1}{4}\right)

y=1

8 0
3 years ago
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Romashka [77]

Answer:

174 square feet

Step-by-step explanation:

18*9= 162

6*4=24/2=12

162+12=174

3 0
3 years ago
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A. 6m + n for m = 7 and n = 3
nadya68 [22]

Answer:

45

Step-by-step explanation:

(replace m with 7 and replace n with 3)

6 x 7 = 42 then you add 3 = 45

8 0
3 years ago
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