Sam decides to download some new music. She downloaded 3 albums and 10
singles, and her total was $61. The next day she purchased more music from the
same retailer and downloaded 6 more albums and 8 singles for a total of $74.
Assuming that all albums and singles are the same price, 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:

An album costs $7 while a single cost $4

Step-by-step explanation:

Let the amount spent on singles be $x while the amount spent on albums be $y

First day, she downloaded 3 albums and 10 singles that cost $61

Hence;

3y + 10x = 61 ••••••••(ii)

Second day, she downloaded 6 albums and 8 singles for $74

8x + 6y = 74 ••••••••(ii)

We now want to use elimination method to solve both equations

Multiply equation i by 2 and ii by i

20x + 6y = 122

8x + 6y = 74

Subtract ii from i now

12x = 48

x = 48/12

x = 4

Recall;

3y + 10x = 61

substitute for x

3y + 10(4) = 61

3y + 40 = 61

3y = 61-40

3y = 21

y = 21/3

y = 7

An album costs $7 while a single cost $4


Related Questions

there are 454 grams in a pound there are 16 ounces in a pound how many grams are in a ounce

Answers

Answer:

28.3495

Step-by-step explanation:

Answer:

28.3495 or 28 grams

Step-by-step explanation:

I looked it up.

please answer fast!!!
Which of the following sets represents the range of the function shown?
{(-3, 4), (5, 11), (9, -1), (10, 13)}

{-3, 5, 9, 10)
{-1, 4, 11, 13}
{(4, -3), (11, 5), (-1,9), (13, 10)}
{-3,-1, 4, 5, 9, 10, 11, 13}

Answers

Answer:

{-3,-1, 4, 5, 9, 10, 11, 13}

Step-by-step explanation:

PLS HELP ITS VERY EASY!

Answers

Answer:

1. 3 19/24

2. 5 19/45

Step-by-step explanation:

hope this helps! :)

An entertainment reporter examines the average ticket prices of Broadway shows, comparing them to the number of total performances the shows have had. A resulting scatterplot shows a strong, positive relationship. The value of r for the scatterplot is 0.763. Which statement best explains the relationship between the variables?
Lower ticket prices cause fewer performances to be offered.
Higher ticket prices cause more performances to be offered.
Less popular shows have higher ticket prices and offer fewer performances.
More popular shows have higher ticket prices and offer more performances.

Answers

It can be inferred that Broadway shows with higher ticket prices tend to be more popular and offer more performances.

Now,

Since,  More popular shows have higher ticket prices and offer more performances.

Hence, Based on the information given, the best explanation for the relationship between ticket prices and the number of performances is that more popular shows tend to have higher ticket prices and offer more performances.

This is supported by the strong, positive relationship indicated by the value of r being 0.763, which suggests that as ticket prices increase, the number of performances tends to increase as well.

Therefore, it can be inferred that Broadway shows with higher ticket prices tend to be more popular and offer more performances.

Learn more about the mathematical expression visit:

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5 5/8 + 5/12


helpp mee plzz​

Answers

6 1/24

i hope this helped

Answer:

The answer is 6.04166666667. The answer in a faction is 145/24.

Step-by-step explanation:

I hope this help.

There are 64 trucks and 80 cars in the parking lot what is the ratio of cars and trucks in simplest form

Answers

Answer:

5:4

Step-by-step explanation:

The ratio would be

80:64 since there are 80 cars to 64 trucks.

You can simplify by dividing everything by 16.

5:4

Given f(x) = 3x – 2 what is f (2x)?

Answers

Answer:

6x - 2

Step-by-step explanation:

f(2x) = 3(2x) - 2

f(2x) = 6x - 2

Answer:

I think it is   ---->  m = 3

Step-by-step explanation:

Please help ASAP!! Thanks

Answers

Answer:1.5

Step-by-step explanation:

Select three ratios that are equivalent to16:12

Answers

Answer:

256:144

48:36

32:24

:)

Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. NEEED HELP PLZ :(

A 15x = 1.39
B 15 + x = 1.39
C 1.39x = 15
D 1.39 + x = 15

Answers

Answer:    C. 1.39x=15

Step-by-step explanation:

each song is worth 1.39 dollars

If there are x songs, the total value would be 1.39x

1.39x=15

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3995 to rent trucks plus an additional fee of $225.75 for each ton of sugar. The second company charges $5500 to rent trucks plus an additional fee of $150.50 for each ton of sugar.

Answers

Given :

The Sugar Sweet Company will choose from two companies to transport its sugar to market.

The first company charges $3995 to rent trucks plus an additional fee of $225.75 for each ton of sugar.

The second company charges $5500 to rent trucks plus an additional fee of $150.50 for each ton of sugar.

To Find :

How, many tons of sugar will cost same in both companies.

Solution :

For company 1 :

P1 = (225.75)x + 3995

For company 2 :

P2 = (150.50)x + 5500

For same cost :

P1 = P2

(225.75)x + 3995 = (150.50)x + 5500

x( 225.75 - 150.50 ) = ( 5500- 3995)

x( 75.25 ) = 1505

x = 20

Therefore, 20 tons of sugar will cost same.

Hence, this is the required solution.

The teachers set a goal of $225. Write 2 statements the principal could use to compare the goal to the 8th graders $300 Goal

Answers

Answer:

that where goal was summer saying that it was 25$ apart

Step-by-step explanation:

If 3x+4=-5, what does x equal to?​

Answers

First subtract 4 from both sides to isolate the 3x.

That leaves us with 3x = -9.

Since x is being multiplied by 3, to get x by itself,

we need to divide both sides of the equation by 3.

So our final answer is x = -3.

Answer:

x = -3

Step-by-step explanation:

3x + 4= -5

Subtract 4 from both sides.

3x = -9

Divide both sides by 3.

x = -3

If sample data come from a population that is not normally distributed, which
sample size would be large enough for the sampling distribution to
approximate a normal distribution?
A. 8
O B. 28
C. 18
D. 58

Answers

Answer:

D. 58

Step-by-step explanation:

If the sample size is larger than 30, the sample can be approximated as normally distributed, even if the population it came from isn't.

Answer:

another answer- 32

Step-by-step explanation:

A P E X

Simplify . Explain your steps.

Answers

answer:

x^7 over x^4

step-by-step explanation:

hope this helps <3

Answer:

x^7 over x^4

Step-by-step explanation:

Happy to help

Simplify: (-2x)4 help me with this!

Answers

Expand (-2x)^4

(-2)^4 x^4

-2^4= 16

=16x^4

Hope this helps

The simplification of the given equation [tex](-2x)^4[/tex] is [tex]16 * x^4[/tex].

Exponents are mathematical notation used to indicate repeated multiplication of a number or expression by itself.

They are written as superscript numbers or symbols placed to the right and slightly above the base number or expression.

To simplify (-2x)^4, you can apply the power rule for exponents.

(-2x)^4 can be expanded as follows:

(-2x)^4 = (-2)^4 * x^4

Now, evaluate the exponent of the base -2 and x:

(-2)^4 = 16

Thus, the simplified expression is: [tex](-2x)^4 = 16 * x^4[/tex]

For more details regarding exponents, visit:

https://brainly.com/question/5497425

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HELP ME ASAP THANK YOU !!

Answers

Answer:

B

Step-by-step explanation:

It is actually A

5-2x=4-2x+4
5=8
but 5 cannot equal 8 therefore there are no solutions

Rewrite x5/6 divided by x1/6 in simplest radical form

Answers

5/6 and 1/6 are exponents to X. The X’s are divided by each other. does that make sense?

All answers choices are the same please help

Answers

1. alternate Interior angles
2. ?
3. alternate interior angles
4.Alternate exterior angles
5.?
6. alternate exterior angles
(sorry that’s what i know)

Pls answer
(5x+7) (8x-7) solve for x

Answers

Answer:

where is the =...........

Answer: 40x2+21x−49

Step-by-step explanation:

I need help can someone help me?

Answers

Answer:

I think your answer would be A. He determined that the difference of 6,10, and 14 are increasing by 4 each time. He concludes that the function has a constant rate of change. I hope this helps.

The number line below represents which combined inequality? (10 points)

number line with a closed circle on negative 6 and 5 with shading in between

x greater than or equal to −6 or x less than or equal to 5
x greater than or equal to −6 and x less than or equal to 5
x less than or equal to −6 and x greater than or equal to 5
x less than or equal to −6 or x greater than or equal to 5

Answers

Answer:

x is greater than or equal to −6 and x less than or equal to 5 (second option).

Step-by-step explanation:

This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!

Hope this helps!!!! Have an awesome day :3

Which of these statements is correct? select all that apply

Answers

Answer:

theres nothing attached, what are the choices?

Step-by-step explanation:

Answer:

points baby

Step-by-step explanation:

a shop is recording the queuing time of its customers and produces the cumulative frequency graph shown below.
a) how many customers queued for more than 20 minutes?
b) Find the median queuing time .

Answers

Answer:

11 customers

11 minutes

Step-by-step explanation:

Answer:

A) 11 Customers

B) 11 Minutes

Step-by-step explanation:

Midpoint of (-7,-14) and (-13,-6)

Answers

(-10,-10)


Pls Mark brainliest

Please help! Will give brailiest!

Answers

B is the answer becuase the slope is -1/4 and the b is +3
The answer is D. Below I have attached my work. Hope this helps!!

Using the graph, determine the coordinates of the roots of the parabola.

I really don't understand how to do this because I have never been taught this before. Could someone help me out?

Answers

Answer: (-6,0) and (-8,0)

!!!!!!Also it's fixed now so ignore my comment about this being wrong!!!!!!

Step-by-step explanation:

To find roots you're basically looking for the points on the graph where they touch the x axis. Those are your roots. You can also plug 0 and -0 in for x and find the coordinates that way with the equation.

Answer:

Two points.

(-8, 0) and (-6, 0)

Step-by-step explanation:

The roots of a graph are another word for the zeros of a graph. In other words, the roots or zeros of a graph are whenever the graph touches or crosses the x-axis. Another way to think about roots are that the roots of a graph are simply its x-intercepts.

From the graph, we can see that it does this twice: once at [tex]x=-8[/tex] and again at [tex]x=-6[/tex]. At both of these points, the graph crosses the x-axis.

Therefore, we will have two roots in this case: one at (-8, 0) and another one at (-6, 0).

So, our answer is two points, being: (-8, 0) and (-6, 0).

And we're done!

Edit: Grammar

Read the question and let me know if I got it right please.​

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yup its correct

Step-by-step explanation:

simplifying radicals pt.4 please help ASAP and explain if possible

Answers

Answer:

whats 10 +78*5-9 divide by 6 nd i give yu yo answer nd ik the answer to the question i gave yu !

Step-by-step explanation:

Answer:

25[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{98}[/tex] = [tex]\sqrt{49(2)}[/tex] = [tex]\sqrt{49}[/tex] × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex]

[tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

Thus

3[tex]\sqrt{98}[/tex] + [tex]\sqrt{32}[/tex]

= 3(7[tex]\sqrt{2}[/tex] ) + 4[tex]\sqrt{2}[/tex]

= 21[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex]

= 25[tex]\sqrt{2}[/tex]

Can someone simplifie the following?

32/45
(4 20/39)
(2 16/145)
(1 25/62)
I'll give Brainliest

Answers

Answer:

32/45

176/39

306/145

87/62

Step-by-step explanation:

did it on my calculator

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