1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hammer [34]
3 years ago
13

A web store offers two versions of a popular song. the size of the standard version is 2.5 megabytes. the size of the high-quali

ty version is 4.6 megabytes. yesterday there were 1230 downloads of the song, for a total download size of 4797 megabytes. how many downloads of the standard version were there?
Mathematics
1 answer:
Komok [63]3 years ago
3 0
---------------------------------------------------
Define x and y :
---------------------------------------------------
Let x the number of 2.5M downloads.
Let y the number of 4.6M downloads.

---------------------------------------------------
Construct Equations :
--------------------------------------------------
There was a total of 1230 downloads.
⇒ x + y = 1230

Total downloaded size was 4797M.
⇒2.5x + 4.6y = 4797

---------------------------------------------------
Find x and y :
---------------------------------------------------
x + y = 1230 -------------------- (1)
2.5x + 4.6y = 4797 ------------ (2)

---------------------------------------------------
From equation 1 :
---------------------------------------------------
x + y = 1230
x = 1230 - y                               // Take away y on both sides

---------------------------------------------------
Sub x = 1230 - y into equation 2 :
---------------------------------------------------
2.5 (1230 - y) + 4.6y = 4797      // Sub x = 1230 
3075 - 2.5y + 4.6y = 4797         // Apply distributive property
3075 + 2.1y = 4797                   // Combine like terms
2.1y = 1722                               // Take away 3075 from both sides
y = 820                                      // Divide by 2.1 on both sides

---------------------------------------------------
Sub y = 820 into equation 1 to find x :
---------------------------------------------------
x + y = 1230   
x + 820 = 1230                        // Sub y = 820
x = 410                                     // Take away 820 from both sides

---------------------------------------------------
Find the number of each type of downloads :
---------------------------------------------------
Number of 2.5M downloads = x = 410
Number of 4.6M downloads = y = 820 

-------------------------------------------------------------------------------------
Answer: There were 410 downloads for the standard version.
-------------------------------------------------------------------------------------

You might be interested in
What values of c and d makes the equation true?​
den301095 [7]

Answer:

c 6 d 4 I hope it will help you please follow me

4 0
3 years ago
You have 55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. How much buying power wil
diamong [38]
We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375

To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870

The buying power lost will be the difference between your required interest and actual interest.

Thus:
Buying power lost=1870-1375=$495

8 0
3 years ago
Multiply and completely simplify: (4x+6) (x-1) PLEASE HELP NOW
nikdorinn [45]

Answer:

-2.333333333

Step-by-step explanation:

6 0
3 years ago
Which expression is the simplified form of -10 + 3x - x - 7x + 5x + 7 + 2x?
Mars2501 [29]

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

8 0
3 years ago
(c³d)a(cd⁷)a<br>Simplify <br>​
Veseljchak [2.6K]

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

5 0
2 years ago
Other questions:
  • The front of a podium is in the shape of a trapezoid with base lengths 4 and 8.5 feet. the height is 2 feet. a gallon of paint c
    10·1 answer
  • What is the range of the function f(x) = x + 5 for the domain {-4, -2, 0, 2, 4}?
    9·1 answer
  • To draw the net of a cylinder, you would use one rectangle and one circle.
    5·1 answer
  • Evaluate the expression
    12·1 answer
  • Manoj's orchard is rectangular of length 39 m and breadth 46 m. If a cost of constructing a wire fence AED 20 per meter, find th
    7·1 answer
  • In similar polygons, corresponding angles should not have equal measures.<br> True or false
    13·1 answer
  • In which number is the value of the 5 ten times the value of the 5 in 10.059?
    12·1 answer
  • A group of adults plus one child attend a movie at AMC. Tickets cost $9 for adults and $6 for children. The total cost for the m
    10·1 answer
  • Please help me this is confusing please add an explanation to it
    10·1 answer
  • Sec 3/4 pi<br>find the exact value using a triangle reference ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!