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77julia77 [94]
3 years ago
15

You have $32 to spend at the music store. Each cassette tape costs $5 and each cd costs $9. Write a linea inequality that repres

ents this situation. Let x represent the number of tapes and y the number of cds
Mathematics
2 answers:
forsale [732]3 years ago
8 0

Answer:

5x+9y≤32

Step-by-step explanation:

Let x be the number of cassette tapes you purchase.

Let y be the number of CDs you purchase.

The problem is you only have $32 to spend.

Different combinations of tapes and CDs are possible. We want an equation showing this relationship.

One cassette tape costs $5. The cost for any number of cassette tapes is $5 times the number  

purchased; that's 5 times x, or 5x.

To find the cost of CDs purchased, we multiply $9 times the number of CDs, $9 times y or 9y.  

The cost of the total purchase is  

[the cost of the cassettes] + [the cost of the CDs] or

5x + 9y


Hope this helps!!

Studentka2010 [4]3 years ago
4 0

Answer:

5x+9y≤32

Step-by-step explanation:


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Answer:

A

Step-by-step explanation:

4 0
3 years ago
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Determine if AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are parallel, perpendicular, or neither. Given: A (−1, 3), B (0, 5), C (2, 1), D (6, −1)
dolphi86 [110]

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are  parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

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5 0
3 years ago
The equation y = 0.25x describes a proportional relationship between x and y. What is the constant of proportionality?
hoa [83]

Answer:

k = 0.25

Step-by-step explanation:

The standard equation of a proportional relationship is

y = kx ← k is the constant of proportion

y = 0.25x ← is in this form

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8 0
3 years ago
Which of the following is the equation of a line perpendicular to the line 7= –3/2 x + 4
frosja888 [35]

Answer:

Option c is correct !!

Step-by-step explanation:

[ Refer to the attachment ]

As y = mx + c is an equation to represent the straight line ; we equate the given line with this equation !!

Where m is slope of the line

and c is y intercept !!

We get , m = -3/2 and c = 4

Also, two perpendicular lines follows the equation :-

(m1)(m2) =  - 1

Where m nth is slope of nth line !!

8 0
3 years ago
Ava borrowed some money from her friend in order to help buy a new video game system. Ava agreed to pay back her friend $2 per w
nydimaria [60]

We know that Ava is paying $2 dollars per week so if L is the money that she owes and t is the number of weeks, and I is the initial debt so we can write an equation like:

L=I-2t

Now we can replace the info we have to find the value of I so:

10=I-2(5)

and we solve for I

\begin{gathered} I=10+10 \\ I=20 \end{gathered}

So the final equation will be:

L=20-2t

8 0
1 year ago
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