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Bess [88]
3 years ago
11

Alex buys 5 DVDs. Each DVD costs $9. If Alex receives a $2 discount on each DVD, what is the total amount of money alex apends?

Write an expression that matches the words
Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer:

The total amount of money Alex spends on 5 DVD = $ 35.

Step-by-step explanation:

Total number of DVD purchased by Alex = 5

The cost of each DVD = $9

So, the total cost of purchasing 5 DVD = 5 x ( csot of 1 DVD)

= 5 x ( $ 9) = $ 45

Now , the discount if 1 DVD = $ 2

So, the total discount of 5 DVD = 5 x ( Discount on1 DVD)

= 5 x ($ 2) = $ 10

⇒ The total amount Alex spends

= Total cost of 5 DVD - Discount on 5 DVD

= $ 45 - $ 10 = $ 35

Hence, the total amount of money Alex spends on 5 DVD = $ 35.

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Find the midpoint of the line segment with the endpoints A and B.<br> A(10,6); B(8,4)
MatroZZZ [7]

Answer:

(9,5)

Step-by-step explanation:

10+8/2=18/2=9

6+4/2=10/2=5

4 0
3 years ago
A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the
Kay [80]

Answer:  The required number of quarters in the collection is 11.

Step-by-step explanation:  Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05,   1 dime = $ 0.10   and    1 quarter = $0.25.

Then, according to the given information, we have

x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)

and

y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Comparing the values of y from equations (iv) and (v), we get

47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.

Thus, the required number of quarters in the collection is 11.

7 0
3 years ago
The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Rasek [7]
<span>The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Solutions:
=> 16 dollars is the amount of book
=> 6% is the sales tax which is equals to (6% / 100% = 0.06)
Let’s follow the formula to get the total amount to be paid.
=> 16 dollars * .06 = .96 dollars
Now, let’s add this together:
=> .96 + 16 dollars = 16.96 dollars.</span>



5 0
3 years ago
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To save for a new car, Trafton invested $3,000 in a savings account that earns 5.5% interest, compounded continuously. After fou
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Answer:

He will make $165 every year.

3000 + 165(4) = 3660 (this is his total amount)

He will need 4000 - 3660 = $340

<u><em>He will need an Additional $340.</em></u>



4 0
3 years ago
At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10,
Bogdan [553]
Well, if the radius is 10, then the circumference is \frac{2*10*22}7=\frac{440}7
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So, what's the unit for the radius?
5 0
4 years ago
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