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

An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.

Answers

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

I need help on 26 please and thank you

Answers

Answer:

your answer is 1.65 or E :)

please help please help

Answers

Answer:

35

Step-by-step explanation:

It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.

I hope this helps!!!

Answer:

C)  35

Step-by-step explanation:

The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.

Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.

To find the absolute value of a number do this:

If the number is zero, then its absolute value is 0. |0|= 0

If the number is positive, then the absolute value is just the number. For example, |9| = 9

If the number is negative, then just drop the negative sign. Example: |-3| = 3

. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.​

Answers

Answer:

25ml of wallpaper remover

Step-by-step explanation:

(y = amount of wallpaper remover)

4500×4 = 18000

18000:600

750    : y

18000y = 600×750

18000y = 450000

y = 450000÷18000

y = 25

HELP PLS ASAPPPPP AHH

Answers

Answer:

25021/50 ft.

Step-by-step explanation:

Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft

More Explanation on Rational Numbers:

Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

Have a great day! :D

Need to minus the number but first try and find a other number to minus it

A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.

Answers

Answer:

The scuba diver is 27 feet below sea level.

-

Hope this will assist you.

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

42/2 + 6 = X 21 + 6 = X 27 = X

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Learn more in https://brainly.com/question/14746652

What are the values of m and n

Answers

Answer:

m = 20°, n = 45°

Step-by-step explanation:

Both of the triangles are isosceles as marked on the diagram.

The right triangle has missing angles of:

n = 90°/2 = 45°

The missing angles of the bigger triangle:

m + n = 1/2(180° - 50°)m + 45° = 65°m = 20°

A diameter of a circle measures 58cm. What is the length of its radius

Answers

Answer:

29cm

Step-by-step explanation:

a radius is half of a diameter so half of 58cm  is 29cm.

i hope this helps have a good day

Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?

Answers

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.

What is the name of this angle?



Help

Answers

The answer is an Acute angle

Answer:

Acute is correct.  It should not be confused with the girl at the desk ahead.  She's a cutie.  Cuties all have angles, so caution.

Step-by-step explanation:

Which figure in the drawing best represents a dilation of figure A with a scale factor of 1.5?
A.r
b.q
c.s
d.t​

Answers

I’m pretty sure it’s b

a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer:

Please I don't understand the question or maybe I'm too young for the question I'm so sorry

Use the linear combination method to solve the system of equations. *Explain each step of your solution.

2x - 3y = 13
x + 2y = 4

Answers

Step 1: We have the next system of equations -

[tex]2x - 3y = 13[/tex]

[tex]x + 2y = 4[/tex]

Step 2: Now, we will multiply by -2 the second equation:-

[tex] - 2(x + 2y) = 4[/tex]

[tex]→ - 2x - 4y = - 8[/tex]

Step 3: Then we add it :-

[tex]2x - 3y = 13[/tex]

[tex]( + ) \: - 2x - 4y = - 8[/tex]

Step 4: After finding the sum, we simplify:-

[tex] - 7y = 5[/tex]

[tex]→y = - \frac{5}{7} [/tex]

Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-

[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]

Step 5: Then simplify :-

[tex]y = \frac{38}{7} [/tex]

Therefore, the final answer is :-

[tex]x = \frac{38}{7} [/tex]

and

[tex]y = \frac{5}{7} [/tex]

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

Answered by Benjemin360 ☺️

Population Growth Using 20th-century U.S. census data,

the population of Ohio can be modeled by

12.79

P(1) =

1 + 2.402,-0.0309

where P is the population in millions and r is the number of

years since April 1, 1900. Based on this model, when was the

population of Ohio 10 million?

Answers

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  https://brainly.com/question/25504185

what is the equation of the blue line? (see photo)

Answers

Answer:

y= -x-1

Step-by-step explanation:

(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)

y=mx+b

m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1

Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.

y=mx+b

0=(-1)(-1)+b

0=1+b

0-1=1-1+b

b=-1

Then substitute b and m to get the equation.

y=(-1)x+(-1)

y= -x-1

F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?

(A) 5yards

(B) 7yards

(C) 8yards

(D) 10yards

(E) 17yards

Answers

B 108 = 3 12=4 since the technical answer is 7 yards

Identify the point that is not on the line 15x + 60y = 180
a (4,2) c (12, 1)
b (0,3) d (8, 1)

Answers

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

PLS HELP PLS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours

Answer Asap!
<3 <3 <3
Thx

Answers

Answer:

the answer is 15/17

because cosine=b/h=UV/UW=15/17

Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points

Answers

Answer:

$4811

Step-by-step explanation:

Initial price = 35,000

18% decrease anually = 18/100 = -0.18

after 10 years

substitute these values in the formula shown in below figure

A = 35000 * ( 1 + -0.18/1  ) ^10

= 35000 * 0.82^10

= 4,810.681

= $4811

The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2














2. What would your next step be?

Write your answer in the space below.














3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.

Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6















4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides














5. What would your next step be?

Write your answer in the space below.














6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.

Write your answer in the space below.














7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.

Write your answer in the space below

Answers

Answer:

Below.

Step-by-step explanation:

1. Divide both sides by 2.

2. After dividing both sides by we would have:

x + 14 = 20

The next step would be

Subtract 14 from both sides.

3. 2(x + 14) = 40

x + 14 = 20

x = 20 - 14

x = 6.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6.

Side AB of a parallelogram ABCD is produced upto point E. If m<CBE = 35°, find m<ADC.​

Answers

Answer:

The measure of ∠ADC = 145°

Step-by-step explanation:

ABCD is a Parallelogram.

AB is produced to E .

∠CBE = 35°

We know that

∠ABC + <CBE = 180[tex]\degree[/tex]

Since , they are linear pair

➜ ∠ABC + 35° = 180°

➜ ∠ABC = 180°-35°

➜ ∠ABC = 145°

We know that

In a Parallelogram, Opposite angles are equal.

➜ The opposite angle of ∠ABC = ∠ADC

➜ ∠ADC = 145°

Therefore, The measure of ∠ADC = 145°

Read more:

Similar Questions

In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?

https://brainly.com/question/22056209?referrer

a square has a shaded part with 7cm and 4cm and 40 cm. workout the percentage of the are inside the square that is shaded

Answers

Answer:

68

Step-by-step explanation:

You multipliy 7x4 and you get 28 now you add the 40+28=68.

If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day

Answers

Answer:

112

Step-by-step explanation:

8 days when fitted into a half (1/2) gives you 16

7 times 16 gives the answer of 112 (people needed)

Answer:

112 people to do it in 1/2 of a day

Step-by-step explanation:

7 · 8 = 56

56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day

Solve the simultaneous equation


3x-4y=11
9x+2y=5

Answers

Answer:

I assume you are looking for the x and y values of the two equations? if not message me!

y=–2

x=1

Step-by-step explanation:

Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28

We can now divide both sides by 14 to get y by itself so we are left with: y=–2

plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1

To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)

Answer:

Below in bold.

Step-by-step explanation:

3x-4y=11

9x+2y=5

Multiply the first equation by 3:

9x - 12y = 33

Subtract the above from the second equation:

2y - (-12y) = 5 - 33

14y = -28

y = -2.

Now plug y = -2into the first equation:

3x - 4(-2) = 11

3x = 11 - 8 = 3

x= 1.

4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.

Answers

Answer:

268.25

Step-by-step explanation:

by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25

*edit, messed up how long a year was, corrected my issue, answer & equation.

Answer:

Step-by-step explanation:

How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome

Question
Solve the equation.

q+5/9=1/6
q=

Answers

q= 1/6 - 5/9
q= -7/18

Answer:

q = - [tex]\frac{7}{18}[/tex]

Step-by-step explanation:

q + [tex]\frac{5}{9}[/tex] = [tex]\frac{1}{6}[/tex]

Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions

18q + 10 = 3 ( subtract 10 from both sides )

18q = - 7 ( divide both sides by 18 )

q = - [tex]\frac{7}{18}[/tex]

solve pls brainliest

Answers

Answer:

$200

Step-by-step explanation:

Simple interest is the same value of interest each year. It is based on the original value. The original value here is $5000.

You must find 2% of the $5000 dollars. This is 0.02 * 5000, or $100.

The question asks for the value after two years, so you must double this to $200.

The question asks how much interest he is paid, which does not include the original $5000. The answer is therefore $200.

how do u simplify 4625/1000

Answers

Answer:

37/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.

4625 ÷ 1251000 ÷ 125.

Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.

Help please I really don’t understand SOS Due today

Answers

Answer:

Step-by-step explanation:

28 > 6x - 2

28 + 2 > 6x - 2 + 2

30 > 6x

5 > x or x < 5

Other Questions
why do heart cells have a higher percentage of mitochondria than liver and pituitary gland cells? how would I solve this?? logx^125 = -3 Choose the correctconjugation ending:VosotrosconstruA. -amosB. -aisC. -an 22. The _____ style of conflict resolution emphasizes an indirect approach for dealing with conflict and an emotionally restrained manner. The word march would appear between the guide wordsmaple and matchmarsh and matchmatch and muzzleNO LINKS. help plz The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.2 in 2011 and 244.6 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2014 and 2015. Assumethat the data can be modeled by a straight line and that the trend continue indefinitely Use two data points to find such a line and then estimate the requested quantities HI!!! IKL GIVE U BRAINLIEST IF U CAN HELP ME! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2 how old was jake gyllenhaal when he dated taylor swift? A line passes through the point (-8, 3) and has a slope of 3/4 write an equation in slope intercept form Help please Im going to be in big trouble why is bromophenol blue added to the individual dna samples? Which of these substances is insoluble? Honey Oil Sugar Vinegar Change the verb in bold type (voy) from the present tense to the preterite. Yo voy.O vineO fuiO vio fue Help me PlsNONSENSE=REPORTREAL ANSWER=BRAINLIEST+HEART How are you right now:)I want to hug you so tight If you _______ yellow and blue, you get green.mixwill mix Determine the value of x in the diagram. Present your opinions about using robots to help with household routines. If you can wash seven cars in three hours how many cars can you wash in eight hours