Mathematics High School

1. Andrew went to FYE to buy music for the band. He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape? Enter your one-sentence interpretation in the space below.​

Answers

Answer 1

Answer:

Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100

Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12

Step-by-step explanation:

Given that:

Total money spent = $112

Number of music purchases = 14

Cost of one Music CD = $10

Cost of one cassette = $3

To find:

How much money was paid for each music CD and each cassette.

Solution:

Let the number of Music CDs purchased = [tex]x[/tex]

Money spent on Music CDs = [tex]\$10\times x[/tex]

Then the number of cassette tapes purchased = [tex]14-x[/tex]

Money spent on cassette tapes = [tex]\$3\times (14-x)[/tex]

As per the question statement:

[tex]10x+3(14-x)=112\\\Rightarrow 10x+42-3x=112\\\Rightarrow 7x=112-42\\\Rightarrow 7x=70\\\Rightarrow x =10[/tex]

Therefore, number of Music CDs purchased = 10

Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100

And number of cassette tapes purchased = 14 - 10 = 4

Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12

Related Questions

The average speed of a car that travels 130 miles in 2 hours.

Answers

Answer:

65mph

Step-by-step explanation:

Answer:

speed = distance/time

speed = 130/2

speed = 65 mph

Step-by-step explanation:

E (0,3), F (1,-1), G (4, 2), H (-1,3) what's EF? And What's GH?

Answers

Answer:

I'm assuming you want the distance between the two point

EF = [tex]\sqrt{17\\}[/tex]

GH = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

PLEASE HELP QUICKLY
What is the value of y

Answers

Answer:

y= 8

Step-by-step explanation:

In a Triangle we know,

W+Y+X=180 degree

then,

(180-52)+(4y-4)+3y=180

or, 128+4y-4+3y= 180

or, 7y= 180- 124

or, y= 56/7

or, y= 8

hope you got it.

Fill in the missing numbers in these equation
(-2) . (-4.5)= ?
?=

Answers

9
Multiplying two negatives makes it positive.

The ratio
1 mm represents 1 cm
is the same ratio as
1:10
Complete the following
The ratio
1 cm represents 1 km
is the same ratio as
1 :


Answers

1 : 100,000
Because there are 100cm in a m and 1000m in a km
100 x 1000 = 100,000

If g(x) = 8-2 (3x-4) what is the value of g(-5)

Answers

Answer: 46

Step-by-step explanation: g(-5)= 8-2 (3(-5)-4), equals 46! Hope this helps :)

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Answers

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

Answer:

(5,-1)

Step-by-step explanation:

Got it right on edge cause of the guy above me

Suppose a stage for the Lunar New Year festival has a length of 24 feet and a width of 4x + 4 feet. If the area of the stage is 384 square feet, what is the value of x?

Answers

Answer:

The value of x is 3

Step-by-step explanation:

The stage is rectangular in shape.

The formula for area of a rectangle is:

Length × Width

Length = 24 feet

Width = 4x + 4 feet

Hence:

384 = (4x + 4) × (24)

384 = 96x + 96

Collect like terms

384 - 96 = 96x

288 = 96x

x = 288/96

x = 3

The value of x is 3

al made a treehouse last summer. He started by making a model. the model included a window with height 1/3 inch. and width 1/6 inch. the actual tree house window had height of 1/2 yd. and width 1/4 yd. al incorrectly said that the ratio of the height of the window in the model to the height of the window in the tree house was 3/2. what was the correct ratio?

What’s is Al’s likely error?

A- He reversed the order of the terms in the ratio
B-he found the ratio of the height to width for one window instead of the ratio of heights
C- He did not covert one of the units before finding the ratio
D-He found the ratio of the widths instead of the ratio of the heights.

Answers

Answer:

b

Step-by-step explanation:

I lookdit up on google

please help im stuck and i dont have time

Answers

Answer:

a.  [tex]3x^{2} \\\\[/tex]

b. [tex]5x+1[/tex]

Step-by-step explanation:

Which graph shows the solution to the inequality –0.5x ≤ 7.5?
__________________________________________________
A) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.

B) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded.

C) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded.

D) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
__________________________________________________

Answers

Answer:

The first option

Step-by-step explanation:

Finished assignment

Answer:

the first option

Step-by-step explanation:

What would you do in order to write 1/5x +
1/3y = 9 in standard form?

Answers

multiply all terms by the common denominator which is 15

If the dollar store is 5 miles away from my house, and my dad walks at 5 Mph, why has it taken my dad 12 years to come back?

Answers

Hes friends with my dad

patricia wants to have her living room carpet cleaned she found three different companies that would clean the carpet for $198 the companies are each offering discounts on their carpet cleaning services

Answers

Answer:

company 1 final price: $148.5

company 2 final price: $168

company 3 final price: $132

thus, the best choice is company 3 because it costs the least and all services are the same

Step-by-step explanation:

company 1 is offering 25% off the price of their service

company 2 is offering $30 off the price of their service

company 3 is offering a 1/3 discount off the price of their service

the price of the cleaning is $198

company 1: 25% discount = 75% of the original price $198, which would be $198 * 3/4, or $148.5

company 2: $30 dollars off, which means $198 - $30 or $168

company 3: 1/3rd discount, meaning the product after the discount is only 2/3rd of the original price. 2/3rd of $198 is $132, so the final price after the discount is $132

is 1/5 a integer rational irrational or real. (there can be more than one answer)

Answers

Answer:

rational

Step-by-step explanation:

A rational number is a number that can be expressed (for example, 1/3 is irrational) Hope I helped! Please mark Brainliest!!!

Find the value of x.
(5x + 5)

Answers

5( x + 1)

I hope this helps:)

Determine if the given lines are parallel, perpendicular, or neither
19. y + 5 = -12
x-y=10
20. 3x-5y=10
10x+6y=-36
I WILL GIVE BRAINEST!!! I NEED HELP DUE IN 2 HOURS
19 AND 20!!
I WILL ONLY GIVE BRAINEST IF YOU ACTUALLY DO THAT PROBABLY

Answers

Answer:

i had to do this like a few weeks ago but i only remember that the parallel ones have the same slope

Step-by-step explanation:

Step-by-step explanation:

19.y+5=-12

y=-12-5

y=-17

x-y=10

x+17=10

x=10-17

x=-7

20.3x-5y=10

3*-7-5*-17=10

-21+85=10

64=10

10x+6y=-36

10*-7+6*-17=-36

-70+102=-36

32=-36

what is 12 to the power of 0 simplified?

Answers

Step-by-step explanation:

the answer is 1

x^0 = 1

12^0 = 1

im not that sure

¿Qué distancia recorre un móvil en 2 s cuando se le suelta de un edificio de 100 m de altura?

Answers

the answer is 50:::::::_::::::::

Anyone know this pls help ill give brainliest :)

Answers

Answer:

30, 40, 60, 70,

Step-by-step explanation:

pattern by 10

For 3=30

      4=40

       6=60

        7=10

  Calculate the slope

           50-20/5-2

             10

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

79°

Step-by-step explanation:

A straight line is 180°.

180°-101°=79°

Which of the following cannot be simplified?

Answers

Answer:

C

Step-by-step explanation:

Answer:

c. 8x-1

Step-by-step explanation:

all of the other ones can be simplified in some way

Select all ratios equivalent to 7:2 ?

Answers

Answer: 14:4 , 21:6 , 28:8 , 35:10

Step-by-step explanation:

It costs $4.25 per game at the bowling alley.
plus $1.90 to rent shoes. If Wayne has $20.
how many games can he bowl?

Answers

Answer:

Wanye can only bowl 4 times.

Step-by-step explanation:

the expression for this equation is

20 = 4.25x + 1.90

subtract  1.90 from both sides

18.10 = 4.25x

See how many times 4.25 can go into 18.10

1.) 18.10 - 4.25 = 13.85

2.) 13.85 - 4.25 = 9.60

3.) 9.60 - 4.25 = 5.35

4.) 5.35 - 4.25 = 1.1

1.1 < 4.25 so you can't subtract it

the answer is 4 times

As a maintenance electrician, it takes you 40 minutes to rewire a motor. You have 6 motors to rewire.

At that rate, how many hours will it take you to rewire the motors?

2/3
4
6 2/3
180
240

Answers

Answer:

The maintenance electrician takes 287.555555566667 hours to to rewire all the motors

Step-by-step explanation:

1. Calculate all of the minutes for all the numbers.

It takes you 26.6666667 minutes to rewire 2/3 of a motor.

It takes you 160 minutes to rewire 4 motors.

It takes you 266.666667 to rewire 6 2/3 motors

It takes you 7,200 minutes to rewire 180 motors

It takes you 9,600 minutes to rewire 240 motors

2. Add all of the minutes together.

26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334

It takes you 17253.333334 minutes to rewire 431.333333 motors

3. Convert minutes to hours

17253.333334/60 = 287.555555566667

It takes you 287.555555566667 hours to rewire all the motors

slope for (1,-1) (-1,-2)
lol sorry
​

Answers

Answer:

m = 1/2

Step-by-step explanation:

Slope(m) = (y-y1)/(x-x1)

= (-1 - (-2))/(1 - (-1))

= (-1+2)/(1+1)

= 1/2

The floor of the room where the documents will be displayed is rectangular
in shape. The length of the floor is four times the width. The floor area is
144 square feet. Write and solve a quadratic equation to find the length
of the display floor. Show the steps you used to solve the problem and
write your answer in a complete sentence.

Answers

Answer:

576

Step-by-step explanation:

for each graph below, state wether it represents a function.

Answers

Answers:

Row 1: No, No, No

Row 2: Yes, Yes, Yes

===============================

Explanation:

Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.

So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.

Please help

Find the distance between points P(2, 2) and Q(7, 4) to the nearest tenth.

7

5.4

10.8

4.5

Answers

Answer:

5.4

Step-by-step explanation:

since they are 5 apart on the x-axis, and 2 on the y-axis. You'd multiply by the power of 2 add both of them together and square root. Giving you about 5.38516 rounding to the nearest tenth of 5.4

your answer is 5.4 because you need to divide

quadratic equations
9 + 2x2 + 2 =0

Answers

Answer:i kinda don't understand but i guess you mean sqrt11/2?

Step-by-step explanation:2x^2+11=0 easy move

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