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RSB [31]
3 years ago
14

Jorge bought 3 DVDs, each for the same price, and a set of earphones for a price of $10. The total cost before tax was $49. What

was the cost of one DVD?
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

The cost of each DVDs is $ 13   .

Step-by-step explanation:

Given as :

The cost of earphones = $ 10

The number of DVDs bought = 3

The total cost of both items before tax = $ 49

Let The cost of each DVDs = $ x

So, According to question

The cost of earphones + The cost of 3 DVDs  = $ 49

Or, $ 10 + 3 × x = $ 49

Or,  3 × x = $ 49 - $ 10

Or,  3 × x = $ 39

∴  x = \frac{39}{3}

I.e x = $ 13

Hence The cost of each DVDs is $ 13   . Answer

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While traveling to Europe phlegm exancheged 250 US dollars he spent 150 euros on his trip after returning to the United States h
anzhelika [568]
1euro = 1.3687 USD 

So 150 Euros = 150*1.3687 USD 

=<span>205.305 USD 

So he spent $205.305 USD on his trip. 

He started off with $250 so to find the amount left we just take 

250 - 205.305 

= $44.695 

Or 44 dollars and 69.5 cents. It's a weirdly exact amount, sure, but the question had a very precise exchange rate, so we'll assume this is fine. </span>
4 0
3 years ago
Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th
RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

\text{Surface area of cylinder}=2\pi rh,where,

r = Radius of cylinder,

h = Height of cylinder.

\text{Surface area of cylinder}=2\pi r*5

\text{Surface area of cylinder}=10\pi r

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

1000=10\pi r

Upon dividing both sides of our equation by 10 pi we will get,

\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}

31.8309886=r

r\approx 31.83

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

4 0
3 years ago
Another way to write 9 x 200
Katyanochek1 [597]
200+200+200+200+200+200+200+200+200
6 0
3 years ago
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Use the distributive property to factor the expression. 15x + 6 A) 2 5 B) − 2 5 C) 3(5x + 2) D) 5(3x + 6)
katovenus [111]

Answer:

3(5x + 2)

Step-by-step explanation:

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3 years ago
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Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.
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The hypotenuse of the right triangle measures 3 units.

<h3>How to find the hypotenuse?</h3>

Here we know that both legs measure:

L  =\frac{3}{\sqrt{2} }

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

H^2 = (\frac{3}{\sqrt{2} } )^2 +  (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3

Then we conclude that the hypotenuse of the right triangle measures 9 units.

If you want to learn more about right triangles:

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#SPJ1

6 0
2 years ago
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