Savannah decides to download some new music. she downloaded 5 albums and 7 singles, and his total was $71. The next day she purchased more music from the same retailer and downloaded 3 more albums and 6 singles for a total of $48.

Assuming that all albums and singles are the same prices, how much did she spend on each album and each single? Write a system of equations to represent this situation. Then solve for the solution using the elimination method.

Answers

Answer 1

Answer:

Step-by-step explanation:

downloaded= 5 albums and 7 singles and total price is $71

Know,

           album + singles = 5+7=  12

           ∴ price÷ from total of albums and singles

              $71÷12=$5.92

 per album     = $5.92

 per single     =  $5.92

Next day;

                3+6=9

    total price =$48

                 ⇒ =$48÷9 = $5.3

     per album= $5.3

     per album= $5.3

"""""  I just try to Solve """"""

Answer 2

Answer:  Singles are $3/each and albums are $10 each.

Step-by-step explanation:

Let A and S represent the number of Albums and Singles, respectively.

We are told that:

5A + 7S = $71

and also that:

3A + 6S = $48

We have two equations and 2 unknowns.  Use elimination to find the price of one and then that will tell us the price of the other.  I'll choose to eliminate the A:

5A + 7S = $71

3A + 6S = $48

We can do the elimination in one of 2 ways:

1)  Solve one of the equations for A or S, and substitute it in the other:

3A + 6S = $48

3A  = $48 - 6S

A  = ($48 - 6S)/3

Now use this definition of A in the first equation:

5A + 7S = $71

5(($48 - 6S)/3) + 7S = $71

5(($48 - 6S)/3) + 7S = $71

$80 - 10S + 7S = $71

-3S = - 9

S = $3

Now we can find A:

5A + 7S = $71

5A + 7(3) = $71

5A + 21 = $71

A = $10

======

2)  We could also modify one of the equations and then subtract to eliminate a variable:

5A + 7S = $71

3A + 6S = $48

Let's multiply the second equation by -(5/3):

-(5/3)*(3A + 6S = $48)

-5A - 10S = -90

Now add this to the first equation:

5A + 7S = $71

-5A - 10S = -80

  - 3S = - 9

S = $3 and therefore A = $10


Related Questions

Can somebody help me with this question, im stuck on it.

Answers

Answer:

180 degrees

Step-by-step explanation:

Transformations don't change the size or angles of a triangle.

We know the angle of T & S. We need to find R.

To do this we will do...

180 - (60+40) =

= 180-100

=80

R is 80 degrees.

Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.

Also, remember that triangles will ALWAYS add up to 180 degrees.

Hope this helps! Please give this a rating and press the heart button! Thanks!

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Answer:

-3 ≤ x < 2

Step-by-step explanation:

2. What is the average rate of change of the function f(x)=3x2 - 12 over the interval [1, 3]?

Answers

Answer:

5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.

Step-by-step explanation:

Mark was thinking of a number. Mark adds 1.7 to the number, then doubles the result to get an
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Answers

Answer:

2(x + 1.7) = 42.7

Step-by-step explanation:

"adds 1.7 to the number" represents x + 1.7"then double the result" combined with "adds 1.7 to the number" represents 2(x + 1.7) "answer of 42.7" combine with all of the above makes 2(x + 1.7) = 42.7

29 divided by 3/8.
help

Answers

I believe it would be 77 and 1/3

Answer:

1.20833333333

3x - 1 = 4x - 10 solve for x​

Answers

Answer:

3x - 1 = 4x - 10

-1 = x - 10

9 = x

Step-by-step explanation:

10-1=4x-3x

9=X

this is the answer with steps

A principal of $4300 is invested at 3% interest, compounded annually. How much will the investment be worth after 5 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

You would have 4945 dollars in 5 years.

Step-by-step explanation:

First we look for what 3% of 4300 is

After we find it we have 129 dollars

Every year we gain 129 dollars for 5 years

129 · 5 = 645

Now we add :         4300 + 645 = 4945 dollars after 5 years

Which is a component of cell theory

○ Cells come from bacteria.
○ Cells come from cells.
○ Cells come from nonliving matter.
○ Cells come from non-cells.

Answers

Answer : Cells come from cells

answer please answer please

Answers

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6

Answers

The answer is -2 -1

please help!!
solve for x

Answers

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

x = 4

Therefore, the value of x is 4.

notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of the phone is $600.How much will Notah pay each month?

Answers

Answer:

75 dollars a month

Step-by-step explanation:

To find The amount we need to divide 600 by 8 which gives us 75

Answer:

75

Step-by-step explanation:

600 divided by 75 = 8 so his rent fee will be 75 a month

Help fast, please!!!!!!!!!!!!!!

Answers

Answer: 25% or B

Step-by-step explanation:

1. Money in November - Money in October

2. 50 - 40 = 10 dollars increased

3. 10/40 = 0.25 or 25%

plsssssssssssssssssssssssssssssssssssssss

Answers

It’s B



Good luckkkkkkkkkkkkk
The answer would be A

Explanation:

896+ 384= 1,280

1,280 / 3,200 = .40 or 40%

A chef uses 7
7
cups of tomatoes per batch to make pasta sauce.

Choose the equation that models the situation, where
t
represents the number of cups of tomatoes and
n
represents the number of batches of sauce.

Answers

Answer:

t=7n

because for 1 batch is 7 cups so let's say you made 3 batchs 3*7= 21 cups.

The correct equation that models the situation is t = 7n. Hence option 4 is true.

Given that;

A chef uses 7 cups of tomatoes per batch to make pasta sauce.

Let us assume that;

t represents the number of cups of tomatoes.

And, n represents the number of batches of sauce.

Hence the equation that models the situation is,

t = 7n

Therefore, option 4 is true.

To learn more about the equation visit:

brainly.com/question/28871326

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use the table to work out the values of a, b, c and d
PLEASE HELP!!!

Answers

Answer:

a = 10, b = 5, c = 14, d = 25

Step-by-step explanation:

Plug in -2 for x ....

y = 2(-2)^2 + -2 + 4

y = 2(4) + 2

y = 10

Plug in -1 for x ....

y = 2(-1)^2 + -1 + 4

y = 2(1) + 3

y = 5

Plug in 2 for x ....

y = 2(2)^2 + 2 + 4

y = 2(4) + 6

y = 8 + 6

y = 14

Plug in 3 for x ....

y = 2(3)^2 + 3 + 4

y = 2(9) + 7

y = 18 + 7

y = 25

If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step

Answers

Answer:

There are 90 inches in 2.5 yards.

Step-by-step explanation:

12 inches per foot and 3 feet per yard means 36 inches per yard.

[tex]12*3=36[/tex]

Now, just multiply 2.5 yards by 36 inches/yard.

[tex]2.5*36=90[/tex]

There are 90 inches in 2.5 yards.

1/2(12w+8)-1/8(10w-5) This confuses me very much pls help

Answers

Answer:

3 8 + 3 7  divided by 8

Step-by-step explanation:

[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x

Answers

Answer:

x = √11

Step-by-step explanation:

(x + 3)(x - 3) = 2

=> x² - 3x + 3x - 9 = 2

=> x² - 9 = 2

=> x² = 11

=> x = √11

Hoped this helped.

evaluate the expression when c=4and d=6

36/c +d​

Answers

Answer:

15

Step-by-step explanation:

36/c + d = 36/4 + 6 = 9 + 6 = 15

What is the distance between the points (-3, 5) and (-3, -6) on the coordinate plane?

Answers

Answer 11
Explanation (x-x) + (y-y)
(0,11) because there is 0 difference in -3 and -3 and a difference of 11 in 5 and -6

Together, Sierra and Gavin earned $5,404. Sierra earned four-sevenths
of the money

Answers

5/7 of $5,404 is $3088.

Sierra earned $3088 and Gavin earned $2316

if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoin

Answers

42000 x 112/100= 47,070 i think :)

verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.

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Answer:

so whats the question. ...........

The cost to rent a moving truck is a flat fee of $25 plus $0. 60 per mile. The equation c = 25 0. 6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. Identify the independent and dependent variables. The is the independent variable. The is the dependent variable.

Answers

Answer:

Independent variable = m

dependent variable = c

Step-by-step explanation:

c = 25 + 0.6m

where,

m = number of miles

c = total cost of rent

3-(1/3) to the fourth power

Answers

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

Rate BRAINLIEST

Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D

Answers

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is the Triangle Sum Theorem?

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is Angle Sum Property?

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about Angle Sum Property here:

brainly.com/question/7696843

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what is the answer help

Answers

Answer:

$29.88

Step-by-step explanation:

$12.45 / 5

$2.95 each pound

2.95 * 12

29.88

sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make

Answers

40
10/.25 =40 .25 is equal to 1/4 . therefore she can make 40 batches of cookies

What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.

Answers

Answer:

200 cubic centimeter

Step-by-step explanation:

Answer:

201.1 cc

Step-by-step explanation:

r = d/2

v = πr^2 h

---------------------

r = 4/2

r = 2

v = π * (2^2) * 16

v = 3.14159 * 4 * 16

v = 201.06176

Rounded

v = 201.1 cc

--------------------

note:

if 3.14 is used for π

v = 200.96

which rounds to

v =201.0

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