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Orlov [11]
3 years ago
11

A small store sells Cds and DVDs. The Cds sell for $9 each. The DVDs sell for $11 dollars each. Cody is working part time and se

lls a totalof $204 worth of CDs and DVDs during his shift. He knows 20 items were sold. How many Cds did hrle sell
Mathematics
1 answer:
AnnZ [28]3 years ago
8 0

Answer:

He sells 8 CDs and 12 DVDs.

Step-by-step explanation:

In order to solve this, we have to set up a system of equations. We'll let x equal the amount of CDs and y equal the amount of DVDs. First, we'll set up an equation for the total number of items sold.

CDs + DVDs = 20 items

x + y = 20

Now we can set up one for amount of money made.

$9 for every CD + $11 for every DVD = $204

9x + 11y = 204.

Now that we have 2 equations we can solve. To do so, we'll multiply the first equation by -9 and then add them together.

-9x - 9y = -180

9x + 11y = 204

-------------------

2y = 24

y = 12

Now that we have the y value, we can find the x value by plugging into either equation.

x + y = 20

x + 12 = 20

x = 8

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5mn^4 • 5m^2 n^3<br><br>Does that even makes sense <br><br>​
xeze [42]

Answer:

25m^3n^7

Step-by-step explanation:

Let's write out the equation

5mn^4 • 5m^2n^3

When we multiply exponents with similar bases, you add them together.

For example 2^2 • 2^2= 2^4

Numbers with no exponent are to the power of one

For example: 2= 2^1

Now that we know this, let's combine like terms

5 • 5=25

m^1•m^2=m^3

n^4•n^3=n^7

Answer: 25m^3n^7

8 0
3 years ago
James wants to pour a patio that is 18 feet by 20 feet. He wants the concrete to be 6 inches deep. How many cubic feet of concre
atroni [7]
The correct answer would be C) 180 cubic feet.

WORK:  18 x 20 = 360, 6/12 = 0.5... then multiply 360 x 0.5 and you get 180
6 0
3 years ago
What is the common ratio and explicit formula for -2,6,-18,54?
Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

a_{4} =\frac{1}{(a_{1})^4}

Step-by-step explanation:

Given sequence is {\{-2,6,-18,54}\}

Let a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54

To find the common ratio r:

r=\frac{a_{2}}{a_{1}}

=\frac{6}{-2}

=-3

Therefore r=-3

r=\frac{a_{3}}{a_{2}}

=\frac{-18}{6}

=-3

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is a_{n}=a_{1}^{r-1}, where common ratio is r.

From given sequence we are having  r=-3

Therefore the explicit formula for a given geometric sequence is of the form a_{4} =a_{1}^{-3-1}

a_{4} =a_{1}^{-4}

a_{4} =\frac{1}{(a_{1})^4}

6 0
3 years ago
How to slice using substitution method
marishachu [46]

Answer:

x=3, y=8; (3,8)

Step-by-step explanation:

To use the substitution method, first solve for a variable.

2x+y=14

2x+y(-2x)=14(-2x)

y=14-2x

Now substitute y in the other equation with 14-2x

5x-2(14-2x)= - 1

Simplify by multiplying inside the parenthesis.

5x-28+4x= - 1

Combine the x values

9x-28= - 1

9x=27

x=3

Now substitute the x value in to solve for y

2(3)+y=14

6+y=14

y=8

3 0
3 years ago
Simplify the expression.
sasho [114]
2^3z^9
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(-8ab)^2
(-8^2a^2b^2)
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6 (x^3)^2
6 x^6
6x^6

Enjoy!=)
4 0
3 years ago
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