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Veronika [31]
3 years ago
13

A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.5

0 to download eight songs and three games, and Dwayne paid $22.50 to download four songs and five games. How much does the store charge to download each song and game?
Write a system of linear equations based on the description. Use x to represent the cost of each song and y to represent the cost of each game.
Solve the system using the elimination method. Show all the steps leading to your answer.
Write 1-2 sentences to explain what the solution means for this situation.
Mathematics
1 answer:
OLga [1]3 years ago
8 0
X songs
Y games

A) 8X + 3Y = 20.50
B) 4X + 5Y = 22.50

Multiplying equation B) by -2
B) -8X -10Y = -45.00  then adding this to
A) 8X + 3Y = 20.50  we get
-7Y = -24.50
Y = 3.50

I think you can calculate X right?


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25% of the length is 7.5 (seven and five tenths) feet

Step-by-step explanation:

25% of 30

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If Nike is having a 30% off sale, and you want a pair of Jordan's that originally cost $100, what is the sale price?​
Sergio039 [100]

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70 or 80

Step-by-step explanation:

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If i have $50 dollars and get $20 dollars a week how much money do i nees to save to get $200 in a month?
ipn [44]
200-50= 150
So you need to get 150 dollars in a month. If you get 20 dollars a week, then 150/20 will give you 7.5. So it will take you 7.5 weeks to get 150 dollars
4 0
3 years ago
ID: A
snow_tiger [21]

Answer:

13.63 miles per hour

Step-by-step explanation:

100 yards / 15 sec  converted to miles per hour

<u>100 yards</u> x <u> 60 sec</u>   x  <u> 60 min</u>   x  <u> 1 mile     </u>    =  13.63 miles/hr

   15 sec        1 min          1 hr           1760 yards

the mistake on Mrs Dukes is the conversion from miles to yards.

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7 0
3 years ago
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T
Paul [167]

The distance between two points on the plane is given by the formula below

\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}

Therefore, in our case,

A=(-1,-3),B=(5,2)

Thus,

\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}

Therefore, the answer is sqrt(61)

In general,

-(-n)=n

Remember that

-n=(-1)\cdot n

Therefore,

\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}

6 0
1 year ago
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