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Debora [2.8K]
3 years ago
8

Use the Distributive Property to find the price of 9 CDs that cost $13.99 each.

Mathematics
2 answers:
Andreas93 [3]3 years ago
6 0
To use the distributive property, we "distribute" a value on the outside of a set of parentheses to all of the values on the inside of the parentheses. For example...

6(3 + 9) = 6*3 + 6*9

For your problem, you only have one value 13.99, but we can split it apart to make it a little easier to work with (like with mental math).  We can say that 13.99 is the same as 10 + 3.99.  Now we can take it and multiply by 9 with the distributive property...

9(10 + 3.99) =
9*10 + 9*3.99 =
90 + 35.91 =

$125.91
Kazeer [188]3 years ago
3 0

Answer:

The cost of 9 CD's is $125.91.

Step-by-step explanation:

The distributive property can be described as:

a(b+c)=ab+ac

Here given is that the cost of 1 CD is $13.99

We can write this cost as = 13+0.99

And the cost of 9 CD's can be calculated as:

9(13+0.99)

Further solving this we get

(9\times13)+(9\times0.99)

= 117+8.91=125.91 dollars

Therefore, the cost of 9 CD's is $125.91.

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The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. F
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Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

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Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

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Then substitute for x in the other equation and solve for y.

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Now we can go back to our equation for x and substitute for y.

x=4y-4

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y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

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Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

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8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

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y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

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y, the larger number, is 1 and

x, the smaller number, is 0

6 0
3 years ago
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