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

could someone please answer these 3 questions?? ty :))

Answers

Answer:

1. -12     2. you get -      3.  -6

Step-by-step explanation:

Well hope that makes sense. Please heart.

12 plus -12 is 0. -3 plus 2 is -1 or -.      -4 plus -2 is -6.

You add -12 to 12 to make it zero.

If you have - - -  and add  +  +  you get  -1.

If you have - - - -  and add - -  you get -6.

The distance of planet Saturn from the Sun is 1.5 ⋅ 109 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Saturn from the Sun than the distance of Venus from the Sun? A 0.4 • 10^8. B 0.4 •10^9. C 1.4 • 10^9. D 1.4 • 10^10

Answers

the distance is s mil lion

Answer:

million

Step-by-step explanation:

Solve for u in terms of s, t, v, and w.
vt= -swu

u=

Answers

Answer. u=vt/-sw
In order to solve for u, we must isolate it.
v•t=-s•w•u. To isolate the variable, u, all other variables must be moved to the other side of the equation. So, divide -sw by vt and you get u= vt/-sw. Hope this helps, let me know if it’s correct so others can use it :)
Good luck.

The value of the expression given in terms of u is -vt / sw

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression, vt = -swu, we are asked to find the expression in terms of u,

vt = -swu

u = -vt / sw

Hence, the value of the expression given in terms of u is -vt / sw

Learn more about expression, click;

https://brainly.com/question/14083225

#SPJ5

SOMEONE PLEASE HELP I NEED THE SOLUTION TO ALL OF THESEE PLEASE HELP!!!!

Answers

Answer:

The answer is below

Step-by-step explanation:

Let's work it out slowly

A)

$18.79 + $2.11 - $1.92 + $17.28

- 18.79 + 2.11 + 17.28 = 38.18

- 38.18 - 1.92 = 36.26

Ans = $36.26

B)

$7.45 + $24.45 + $74.17 + $76.52

- 7.45 + 24.45 = 31.9

- 74.17 + 76.52 = 150.69

- 150.69 + 31.9 = 182.59

Ans = $182.59

C) $98.45 - $10.63 + $2.82 - $20.26

- 98.45 - 10.63 - 20.26 = 67.56

- 67.56 + 2.82 = 70.38

Ans = $70.38

Hope you understand

:-)

The answer to A is $40.1
The answer to B is $-19.35
The answer to C is $70.38
Hope this helps.

Solve v= f(c+K) for K​

Answers

Answer:

K = v /f − c

Step-by-step explanation:

b) Find the value of
4(a – 3b) when a = -8 and b = 1/3

Answers

Answer:

-36

Step-by-step explanation:

4(-8-3*(1/3)) = 4(-8-1) = -36

A refrigerator costs 525.50. What is the TOTAL COST of the refrigerator (including 6% tax)

Answers

Answer:

557.03

Step-by-step explanation:

525.50 + 525.50(.06)

525.50 + 31.53

557.03

Alternative method:

525.50(1.06)

557.03

Enter the fraction as a decimal.
1
8
The fraction as a decimal is

Answers

Answer: 0.125

Step-by-step explanation:

Answer:

0.125

1/8

= 0.125

= 12.5%

i am about to SCREAM!!! i need help

For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank.

Word Bank
sum difference product quotient
equal variable solution inverse
add subtract multiply divide
more than less than greater than inequality
greater than or equal to less than or equal to equation negative

x + 4 < 1

Answers

Answer:

x<5

Step-by-step explanation:

x+4<1

x<+1-4(in this situation +1-4 is kinda like saying -4+1 so you add them)

{x<5}

(thanks and sorry and welcome)

Answer:

For the inequality statement, x ≤ -3, multiply each side of the inequality by the reciprocal of . The solution is x ≤ -12.

Step-by-step explanation:

[tex]\frac{4}{1}[/tex] · [tex]\frac{1}{4}[/tex]x ≤ -3 · [tex]\frac{4}{1}[/tex]

can someone please help me with this question​

Answers

Answer: 140 ft^2

Step-by-step explanation:

Triangle:

A = 1/2bh

A = 1/2(6 • 4)

A = 1/2(24)

A = 12

Square:

A = bh

A = 16 • 8

A = 128

Add them

128 + 12 = 140 ft^2

Answer:

7.21 ft

Step-by-step explanation:I don't know if i did it right but this is what I got.

Can someone explain this to me!!! Will give the brainliest!!!!

Answers

Answer:

88 degrees

Step-by-step explanation:

First, notice that when you rotate a point 272 degrees clockwise, there will be 88 more degrees before it returns to its original point (since a 360 turn is equivalent to not moving, and 360-272=88).

Because of that, we can deduce that rotating a point 88 degrees counterclockwise will be equivalent to rotating it 272 degrees clockwise.

We can know that that's the smallest possible positive answer, because any angle smaller than 360 will be the smallest possible way to express it.

1) y = 6x − 11 −2x − 3y = −7 4) −3x − 3y = 3 y = −5x − 17 7)−4x + y = 6 −5x − y = 21 8) −7x − 2y = −13 x − 2y = 11 18) −2x + 6y = 6 −7x + 8y = −5 My teacher started a new unit and i wasn't hear to get the teaching so i chose some random problems and hopefully one of them is easy enough for you to teach me how to do it

Answers

Answer:

See Explanation

Step-by-step explanation:

1.

Given

[tex]y = 6x - 11[/tex]

[tex]-2x - 3y = -7[/tex]

Solve for x and y

In the first equation, we have: [tex]y = 6x - 11[/tex]

Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second

[tex]-2x - 3y = -7[/tex]

[tex]-2x - 3(6x - 11) = -7[/tex]

[tex]-2x - 18x + 33 = -7[/tex]

[tex]-20x+ 33 = -7[/tex]

[tex]-20x= -7-33[/tex]

[tex]-20x= -40[/tex]

Divide through by -1

[tex]20x = 40[/tex]

[tex]x = 40/20[/tex]

[tex]x = 2[/tex]

Recall that:

[tex]y = 6x - 11[/tex]

[tex]y = 6 * 2 - 11[/tex]

[tex]y = 1[/tex]

2,

Given

[tex]-3x - 3y = 3[/tex]

[tex]y = -5x - 17[/tex]

In the second equation, we have: [tex]y = -5x - 17[/tex]

Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation

[tex]-3x - 3y = 3[/tex]

[tex]-3x - 3(-5x - 17) = 3[/tex]

[tex]-3x + 15x + 51 = 3[/tex]

[tex]12x + 51 = 3[/tex]

[tex]12x=3 - 51[/tex]

[tex]12x=-48[/tex]

[tex]x = -48/12[/tex]

[tex]x = -4[/tex]

Recall that: [tex]y = -5x - 17[/tex]

[tex]y = -5 * -4 - 17[/tex]

[tex]y = -3[/tex]

3. Given

[tex]-4x + y = 6[/tex]

[tex]-5x - y = 21[/tex]

Add both equations to eliminate y

[tex]-4x - 5x + y - y = 6 + 21[/tex]

[tex]-9x= 27[/tex]

Solve for x

[tex]x = 27/-9[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]

[tex]-4 * -3 + y = 6[/tex]

[tex]12 + y = 6[/tex]

[tex]y = 6 - 12[/tex]

[tex]y = -6[/tex]

4. Given

[tex]-7x - 2y = -13[/tex]

[tex]x - 2y = 11[/tex]

Make x the subject in the second equation

[tex]x - 2y = 11[/tex]

[tex]x = 11 + 2y[/tex]

Substitute 11 + 2y for x in the first equation

[tex]-7x - 2y = -13[/tex]

[tex]-7 (11 + 2y) - 2y = -13[/tex]

[tex]-77 -14y - 2y = -13[/tex]

[tex]-77 -16y = -13[/tex]

[tex]-16y = -13 + 77[/tex]

[tex]-16y = 64[/tex]

[tex]y = 64/-16[/tex]

[tex]y = -4[/tex]

Substitute -4 for y in [tex]x = 11 + 2y[/tex]

[tex]x = 11 + 2 * -4[/tex]

[tex]x = 11 -8[/tex]

[tex]x = 3[/tex]

5. Given

[tex]-2x + 6y = 6[/tex]

[tex]-7x + 8y = -5[/tex]

Multiply the first equation by 7 and the second by - 2 to eliminate x

The first

[tex]7(-2x + 6y = 6)[/tex]

[tex]-14x + 42y =42[/tex]

The second

[tex]-2(-7x + 8y = -5)[/tex]

[tex]14x - 16y = 10[/tex]

Add the resulting equations

[tex]-14x + 42y =42[/tex]

[tex]14x - 16y = 10[/tex]

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

[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]

[tex]42y - 16y = 42 + 10[/tex]

[tex]26y = 52[/tex]

Solve for y

[tex]y = 52/26[/tex]

[tex]y = 2[/tex]

Substitute 2 for y in [tex]-2x + 6y = 6[/tex]

[tex]-2x + 6 * 2 = 6[/tex]

[tex]-2x + 12 = 6[/tex]

[tex]-2x = 6 -12[/tex]

[tex]-2x = -6[/tex]

Solve for x

[tex]x = -6/-2[/tex]

[tex]x = 3[/tex]

What is 12 × 24??????????????????

Answers

Answer: 288

Step-by-step explanation:

um what

Answer:

12 × 24 = 288.

Step-by-step explanation:

hope this helps :)

. You have 17 birthday gifts! 9 came from your
family, the rest came from your friends. How many
gifts did your friends give you?

Answers

The answer is eight. if there are 17 presents in total, you would subtract nine from 17 to get 8
17-9=8 that should be the right answer

Which of the following gives an equation of a line that passes through the point (3.-) and is
parallel to the line that passes through the origin and point (-2, -12)?

Answers

Answer:

A goes through the points

Step-by-step explanation:

Hello!, All I wanted to ask was what is the answer to this question “Evaluate 9 + 7 x 5”
AND what does Evaluate mean?

Answers

Evaluate basically means to solve. So using order of operations, you first multiply 7 and 5 and get 35, then add 9 to get 44. So 44 would be your final answer.

Answer:

the answer is 44 and evaluate is just a fancy word for solve i believe

Step-by-step explanation:

If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?​

Answers

Answer:

It could by any 2 numbers that satisfy a^2+b^2= 20.

One example would be 4 and 2:

4^2+2^2=16+4=20

I hope this helped.


A long-distance runner can run 11 miles per hour. How many hours will it take
the runner to run 44 miles?

Answers

Answer:

4 Hours.

Step-by-step explanation:

If the run 11 miles in a hour, then do 11 times as many hours.

11 x 4 = 44.

What is a rational number and how do you know?

Answers

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

graph the following rule y<_ 2/3x - 1

Answers

Look at the graph I added here

Look at the graph the person gave u ^

Jamie's car gets 33.5 miles per gallon. How many miles can he travel on 16 gallons?

Answers

Answer:

536  Gallons

Step-by-step explanation:

If you multiply 33.5 times 16 you will get your answer

Please put brainliest.

The formula for the volume of a rectangular prism is v=Iwh which is the equivalent equation solved for h

Answers

Answer:

6x^3+39x^2+59x

Step-by-step explanation:

True or false? A theorem is a statement that can be easily proved using a
corollary
A. True
B. False
The answer is B, False

Answers

Answer:

yeah it's B. false :)

Step-by-step explanation:

and to answer the other answer, it's just to help other people if the question isn't already on brainly

solve the equation. -3x^2=12x+12
a.) no real solution
b.) x= -2
c.) x= 2
d.) x= -2 and x=2

Answers

3x^2+12x+12=0
=(3x+6)(x+2)
b) x=-2

What is the first step you would take solving for k in 4k + 12 = -28

Answers

Answer:

The first step I would take is subtract 12 from both sides.

Step-by-step explanation:

i hope this helps!

Translate the sentence into an inequality.
The sum of a number times 10 and 16 is at most 28.
Use the variable c for the unknown number.

Answers

Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?

(A) 250 yards

(B) 300 yards

(C) 350 yards

(D) 400 yards

(E) 450 yards

Answers

Answer:

(C) 350 yards

Step-by-step explanation:

From available information

Mean = 790

1 running back = 1637 yards

Standard deviation above mean = 2.42

Using formula

z =( x - mean)/sd

2.42 = (1637-790)/sd

2.42 = 847/sd

We cross multiply

2.42sd = 847

Divide through by 2.42

Sd = 847/2.42

Sd = standard deviation = 350

So our answer is 350 and therefore option c.

hey can anyone pls answer dis math question rq!

Answers

Answer:

9 inches

Step-by-step explanation:

Original size = 6 ftScale factor = 1/8

Clone = original * scale factor

Clone size

6 ft*1/8 = 3/4 ft

Converted to inches

1 ft = 12 in3/4 ft = 3/4 * 12 in = 9 in

Solve for x it’s my homework need help.

Answers

Answer: 5.176 units

Step-by-step explanation:

x/20 = sin(15)

x = 20*sin(15) = 5.176 units

here’s what i got i’m pretty sure it’s right

Pleaseeeeeee helpppppppppb

Answers

Possibly parallel? I don’t really know what it means by slope
it has a zero slope
Other Questions
Please help and thank you for helping me out Fundamentos poltico I need help solving these problems. which expression can be used to solve 3/5 divided by 7/10? PLEASE HELP 50 POINTS!!!!!!!!!!!!!!!Andrew and Deshawn are teammates on a high school soccer team. Theyve been playing soccer together for years. They both play the center forward position. Some years, Andrew is better than Deshawn and serves as the teams starter. Other years, Deshawn is the stronger player and gets the most playing time. They are both very competitive with each other. Although they know each other well, they have never been friends.In practice yesterday, the team was running drills in the rain. Deshawn slipped in the mud and collided with Andrew. Andrew hurt his knee badly in the fall and will have to sit out for several weeks.The next day, Andrew told everyone at school that Deshawn hurt him on purpose to get more playing time. Deshawn retaliated by sharing private information about Andrew on social media. Andrews best friend Mateo saw the collision. He knows it was a complete accident.Pick the role of Andrew, Deshawn, or Mateo.What are the main issues/problems from this persons perspective?What ethical issues are involved for this person?Why are these ethical issues relevant for this person?How should the person you chose handle the situation? The T.V.'s original price was $420. It was on sale for 40% off. What is the sale price? HELP HELP HELPA house painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount. How long will the job be when both companies charge the same amount? How much will they charge?Question 1: Write an equation.Question 2: How long will the job be when both companies will cost the same amount?Question 3: How much will they charge? -2x + 12 = -2(x 6) Yo, tomas toman tomamos tomo, el bus escolarA. TomasB. TomanC. TonamosD. Tomo 4. Determine the value of x. What is the theme of this poem?A)Roses are beautiful.B)Our lives are bad like the thorns on a rose.C)Our lives are good even though they are not perfect.D)Our families love us. What was the most important outcome of Shays Rebellion? If 247 players separated into 13 equal teams, how many players will be on each team? How are the health impacts of surface mining different from those of underground mining?1. higher risk of mine collapse in surface mining2. higher risk of lung disease in surface mining 3. Lower risk of hearing loss and surface my mining 4. Lower risk of minor injuries and service my mining in this picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning. The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a linear function. The amusement park charges an entrance fee of $45.25 per person and a parking fee of $10 per car. Leah's car has seating for a maximum of 6 people.What is the domain of the function for this situation? The unknown element (Johnsonium, Jo) contains three naturally occurring isotopes. The relative abundances and atomic mass are:Moorium-36: abundance = 1.32%, mass = 35.978amuMoorium-38: abundance = 3.25%, mass = 37.963amuMoorium-40: abundance = 95.43%, mass = 39.962amuWhat is the average atomic mass of "Moorium?" The answer choices are spelling rules about what to do before adding suffixes to a base word that ends in e. Identify the rule that was applied to the word below. achieve + -ment If the suffix starts with a consonant, keep the e and add the suffix. If the suffix starts with a vowel, drop the e and add the suffix. If a base word ends in double e, do not drop the final e, but never write three e's in a row. Keep the final e only if it lets g or c make their soft sounds. This word is an exception to the rule. Conclusion between Teacher anddoctor who is importantthe in Community. What demand was made in the Populist Party platform of 1892 A)a graduated income taxB)higher tariffsC)selection of U.S. Senators by state legislaturesD)unrestricted immigration