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

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.

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

Answers

Look at the graph I added here

Look at the graph the person gave u ^

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

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]

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.

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.

Pleaseeeeeee helpppppppppb

Answers

Possibly parallel? I don’t really know what it means by slope
it has a zero slope

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.

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:

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:

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

What is 12 × 24??????????????????

Answers

Answer: 288

Step-by-step explanation:

um what

Answer:

12 × 24 = 288.

Step-by-step explanation:

hope this helps :)

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.

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:

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%

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:

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]

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

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.

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

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

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.

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!

. 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

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.

Solve v= f(c+K) for K​

Answers

Answer:

K = v /f − c

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

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

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].

Other Questions
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