After cleaning house, Josh took a box of 29 used discs to sell at the flea market.
Some were computer games (which he sold for $2 each), some were music CDs (which he sold
for $3 each), and the rest were video DVDs (which he sold for $4 each). If Josh sold everything
(which included twice as many DVDs as computer games), and he made a total of $93, how
many of each type of disc did he sell?

Answers

Answer 1

Answer:

Josh sold, 6 computer games, 12 video DVDs, and 11 music CDs

Step-by-step explanation:

The given parameters are;

The number of used discs in the box Josh took to the flea market = 29

The price for which he sold the computer games = $2

The price for which he sold the music CDs = $3

The price for which he sold the video DVDs = $4

The number of DVDs = 2 × The number of computer games

The total amount Josh made = $93

Let C represent the number of computer games and let M represent the number of music CDs, and let V represent the number of DVDs, we have;

We have;

V = 2 × C...(1)

C + M + V = 29...(2)

2 × C + 3 × M + 4 × V = 93...(3)

By substituting the value of V, from equation (1), in equation (2), we have ;

C + M + (2 × C) = 29

∴ 3·C + M = 29

M = 29 - 3·C...(4)

By substituting the value of V, from equation (1) and the value of M, from equation (4) in equation (3), we have;

2 × C + 3 × M + 4 × V = 93...(3)

2·C + 3·M + 4·V = 93

2·C + 3·(29 - 3·C) + 4·(2·C) = 93

2·C + 87 - 9·C + 8·C = 93

C = 93 - 87 = 6

C = 6

The number of computer games = C = 6

V = 2 × C = 2 × 6 = 12

V = 12

The number of video DVDs = V = 12

M = 29 - 3·C = 29 - 3 × 6 = 11

M = 11

The number of music CDs = M = 11

Therefore, Josh sold, 6 computer games, 12 video DVDs, and 11 music CDs.


Related Questions

help please and thanks

Answers

c

I saw this test my cousin had it

Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your
work.

Answers

Answer:

they exchanged 25 handshakes total

Step-by-step explanation:

5 x 5 = 25

May I have brainliest please? :)

please help me !!! please

Answers

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.

The area of a rectangle with length l and width w is lw. Greg is getting a new hardwood floor in his rectangular dining room. The room is 14 feet long and 11 feet wide. What is the area of the dining room floor? Write your answer as a whole number or decimal.

Answers

Area = lw

Area = 14 x 11

Area = 154 square feet

need the answer please

Answers

Needed points sorry hdjdjdjdjdjd

Answer:

Slope =-1/2

P1 (0,4)

P2(-2,5)

Step-by-step explanation:

Slope:

m=(y2-y1)/(x2-x1)

=(3-6)/(2+4)

=-3/6

m=-1/2 = -0.5

Now finding the equation of the line passing through the 2 points:

3 = -1/2 * 2 +q

3 = - 1 +q

q=4

eq. y= -(1/2)x + 4

Let's find 2 other points

x=0

y= - 1/2 *0 +4 =4

(0,4)

x= -2

y= - (1/2)*(-2) +4 = 1+4 = 5

(-2,5)

What is the greatest common factor of 12, 36, 18????

Answers

Answer:

6

Step-by-step explanation:

Find the solution to the following system using substitution or elimination:

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

A. (1,5)

B. (2,1)

C. (14, 37)

D. (1,-2)

Answers

Answer:D(2,1)

Step-by-step explanation:

Answer:

D. (2,1)

Step-by-step explanation:

Yes It is correct I took the test and got a 100%

PLEASE HELP ME IM TIMED​

Answers

Answer:

Step-by-step explanation:

-2/3x+9=4/3x-3=

x=6

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

We have the equation:

[tex]-\frac{2}{3}x+9=\frac{4}{3}x-3[/tex]

First, we can remove the fractions by multiplying both sides by 3. Therefore:

[tex]3(-\frac{2}{3}x+9)=3(\frac{4}{3}x-3)[/tex]

Distribute:

[tex]-2x+27=4x-9[/tex]

Subtract 27 from both sides:

[tex]-2x=4x-36[/tex]

Subtract 4x from both sides:

[tex]-6x=-36[/tex]

Divide both sides by -6:

[tex]x=6[/tex]

Hence, the value of x is 6.

Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this? 25,000 g 0.025 g 0.0025 g 2,500 g

Answers

Answer:

2,500

Step-by-step explanation:

The weight of the oranges was 2.5 kilograms, the number of grams is,  2500g. So Option D is correct.

What are Units ?

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorised.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

Ralph bought some oranges.

The weight of the oranges was 2.5 kilograms.

The number of grams = ?

It is known that,

1 kilogram = 1000 gram

so 2.5 kg will be equal to

⇒ 2.5 x 1000

⇒ 2500 g

Hence, the number of grams is 2500g

To know more about Units check:

https://brainly.com/question/30168372

#SPJ6

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

4/3 all I can tell u

g(n) =-n + 2
How can I find the inverse of this equation?

Answers

Answer:

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

Step-by-step explanation:

Given the function

[tex]\:g\left(n\right)\:=-n\:+\:2[/tex]

As we know that a function g is the inverse of function if for [tex]y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]

[tex]y=-n+2[/tex]

Replace n with y

[tex]n=-y+2[/tex]

Solve for y,

[tex]n=-y+2[/tex]

[tex]y=2-n[/tex]

Therefore,

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

HELP ASAP PLEASE
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?

5.89°
6.38°
45.89°
46.38°

Answers

Answer:

The correct option is;

5.89°

Step-by-step explanation:

The speed with which the plane flies = 350 mph

The direction of flight of the plane = N 40° E

The speed with which the wind blows = 40 mph

The direction in which the wind blows = S 70° E

Therefore, we have;

The resolution of the components of the motion of the plane, given as follows;

[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j

The resolution of the components of the motion of the wind, given as follows;

[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j

The resultant motion of the plane is given as follows;

[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j

The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E

Therefore, the plane's drift = Plane's Track - Plane's Heading  = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°

Therefore, the correct option is 5.89°.

Answer:

5.89

Step-by-step explanation:

so u don't have to look at that long one lol.

HELP!!! this is due today and i’m super dumb all help is much appreciated!

Answers

Answer:

No

Step-by-step explanation:

It is never a right triangle unless it says so, it normally has a little square box thing on the angle that is right

Which graph best represents the equation 3x + y = -5?

Answers

Answer:

the one that looks closest to this

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the quiz on Time4Learning

richard mows 1/3 of his yard in 2/5 hour. at that same rate how much of his yard would Richard mow in 1 hour

Answers

Answer: he would mow 13/15 of his lawn in one hour

Step-by-step explanation:

Do 1/3 and 2/5 into, 5/15 and 6/15

A lasagna recipe calls for 3 and 3/4 cup of tomato sauce DeMarco already has 1 and 1/4 cups of tomato sauce he wants to know how many more cups of tomato sauce he needs. Let y be the number of cups of tomato sauce DeMarco still needs.

Answers

Answer: DeMarco still needs 2 1/2 cups of tomato sauce.

Step-by-step explanation:

Solve for 3 3/4 cups (needed) - 1 1/4 cups (have).

2 2/4 cups

Simplify:

2 2/4 -> 2 1/2 cups

Answer:

DeMarco needs 2 2\4 cups more tomato sauce

Step-by-step explanation:

1 1\4+y=3 3\4

subtract 1 1\4 from both sides

y=2 2/4

I was earning $47,000 per year until she received a 7% raise at the start of 2019. What will her new salary be? Write a proportion and show how you solved.

Answers

Answer:

$50,290

Step-by-step explanation:

I was earning $47,000 per year until she received a 7% raise at the start of 2019.

Step 1

We find how much 7% raise is

Hence,

7 % of $47,000

= 7/100 × $47,000

= $3290

What will her new salary be?

Her new salary is calculated as:

Last year's salary + 7% raise

= $47,000 + $3290

= $50,290

Her new salary is $50,290

$12; 20% increase (sample answer: $1, make sure to put the dollar sign in
front of the number)

Answers

Answer: $14.40

Step-by-step explanation:

The question simply asks us to calculate the value of a 20% increase in $12. This will be:

= $12 + (20% × $12)

= $12 + (20/100 × $12)

= $12 + (0.2 × $12)

= $12 + $2.40

= $14.40

A 20% increase in $12 will give $14.40

Write an
equation of a line that passes through each pair of points.
(-2,6) (0,0)

Answers

Answer: y= -3x

(there is no y-intercept in the points you listed so if you can find one on a picture of your question, do so. but since i do not see a given y-intercept, i assume it is 0)

To find the slope, use the two points given.

1st: subtract the y-values. 0-6= -6.

2nd: subtract the x-values. 0-(-2)= 2

3rd: you have -6/2.

4th: simplify to get a slope of -3.

The slope is 9 (write it as a fraction ) ———and the y intercept is ———

Answers

Answer:

The slope is 9/1 (I don't know if you have to write x) and the y-intercept is 22.50

Step-by-step explanation:

if the slope is 2x the y intercept is 12. If the slope is 4x then the y-intercept is 15 . Every time your x increases by 2 your y-intercept goes up by three. In the question, it's asking you to find out the one for the number 9. 8+2 is 10 not nine so you divide 3 by 2 and get 1.5 so 21+1.5 is 22.50

if the slope is 2x the y intercept is 12. If the slope is 4x then the y-intercept is 15 . Every time your x increases by 2 your y-intercept goes up by three. In the question, it's asking you to find out the one for the number 9. 8+2 is 10 not nine so you divide 3 by 2 and get 1.5 so 21+1.5 is 22.50

A board 75 cm long is cut into two parts such that one part is 15 cm more than the other. How long is each part?

Answers

Answer:

30 cm, and another is 45 cm.

Step-by-step explanation:

First, we need to subtract 15 from 75, giving us 60. Then, we divide 60 by 2, giving us 30, which is the length of one part. We add 15 back to 30, which gives us 45. One part is 30 cm and the other is 45 cm

7 in
9 in
5 in
what is the volume

Answers

Answer:

157.5

Step-by-step explanation:

Bosian was converting Gallons to Quarts. He said that he had 5 gallons. Bosian said that 1 gallon 5 quarts so 5 gallons is 5 What does Bosian do wrong? How do you correct it? ​

Answers

Answer:

Bosian used the wrong conversion for converting Gallons to Quarts. The correct conversion is: 1 gallon = 4 Quarts and correct solution is: 5 gallon = 20 quarts

Step-by-step explanation:

Bosian Conversion from Gallons to Quarts

He had 5 gallons

He said that 1 gallon = 5 quarts

So, 5 gallons = 5*5 = 25 quarts

Mistake of Bosian:

He used the wrong conversion: i.e, 1 gallon = 5 quarts

The correct conversion is:

1 gallon = 4 quarts

Correct Solution:

1 gallon = 4 quarts

So, 5 gallons = 5*4 = 20 quarts

i need help wiht math

Answers

Answer:

Is that all you need help with or you need help with more?

Step-by-step explanation:

May someone please help this is due a 9:59pm. I have connected a pic.

Answers

Answer:Your poopoo

Step-by-step explanation:

$1.08 as a decimal and fraction

Answers

Answer:

as a fraction?

27/25

or

1 2/25

Step-by-step explanation:

4x+3y<12 what’s the answer?

Answers

The answer would be y<-4/3x+4 if it’s 4x+3y<12 if it’s 4x+3y=12 the answer would be y=-4/3x+4. I don’t know what your implying but &12 so if it didn’t help I’m sorry. If this helped please mark me branliest

Once a month volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.

Answers

Answer: 6

Step-by-step explanation: :)

Answer:

6

Step-by-step explanation:

HELLLLLPPPPPP ME PLS!

Answers

That’s good answer, d is the correct answer for that question

How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

Answers

Answer:

3 ways

Step-by-step explanation:

How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

We solve using combination

n-1 C r-1 = nCr = n!/r! (n - r)!

n = 4 identical marbles

r = 3 jars

Hence:

4 - 1 C 3 - 1 = 3C2

= 3!/2! (3 - 2)!

= 3 ways

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