Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song. The Superstar music club charges no sign-up fee and charges $3.50 each song. After how many songs will the cost of the music clubs be equal? 1st choice Music Equation: ______ Superstar Music Club Equation: ______ Solution: _____ This was due yesterday and I'm having trouble with this stuff, I'm in advanced math but my teacher moves way too quickly, I would appreciate it if you could help me out.

Answers

Answer 1

Answer:

1st choice Music Equation: [tex]\$(x+5)[/tex]

Superstar Music Club Equation: [tex]\$3.50x[/tex]

Solution: 2

Step-by-step explanation:

Given that:

1st choice music club:

Charges for one song = $1

Charges for sign - up = $5

Let the number of songs = [tex]x[/tex]

Total cost = [tex]\$5+\$1\times x = \$(x+5)[/tex]

Superstar music club:

No sign up fee and

Charges for one song = $3.50

Total cost = [tex]\$3.50x[/tex]

Given that, cost of each music club becomes equal:

Putting them same:

[tex]x+5=3.5x\\\Rightarrow 2.5x = 5\\\Rightarrow \bold{x =2}[/tex]

After 2 songs, the cost of both the clubs will become equal.


Related Questions

Please help!!
if you can explain if not that is fine.

Answers

Answer:

The graph of y > 3x − 4 has shading above a dashed line. The graphs of the inequalities will intersect.

Solve the inequality.
-1 <-4+ d
A d>3
B d>-3
C d<-3
D d<3

Answers

Answer:

A

Step-by-step explanation:

We add 4 on both sides

-1 + 4 < -4 + 4 + d

= 3 < d

Flip it and we get d > 3

The answer is A

An exponential relationship is modeled by y = 31(0.81)x , what is the percent rate of change for this function?

Answers

Answer:

19%

Step-by-step explanation:

An exponential relationship is modeled by y = 31(0.81)^x , what is the percent rate of change for this function?

From the above exponential relationship given, we can see that this exponential relationship is an exponential decrease.

Where the formula:

y = a(1 - r)^t

Where a = Initial amount

r = rate of change in percent

t = time in years

y = a(1 - r)^x = y = 31(0.81)^x

1 - r = 0.81

r = 1 - 0.81

r = 0.19

Converting 0.19 × 100

= 19%

Which of the following expressions is this one equivalent to?
2x? - 15x² + 17x+3
X – 5
x?- 2x+5+
O A.
+2
7
x - 5
2x² - 5x-8 - 37
B.
X-5
2x2 – 25x – 108 - 321
X - 5
D.
2x – 5 –
3
X-5

Answers

Answer:

it is D

Step-by-step explanation:

30 POINTS!! PLEASE HELP ME! THANK YOU SO MUCH!!

show all steps to solve these problems in the photos

Answers

Step-by-step explanation:

Ok so i looked on an app i hope helps(Im not really sure if this is correct)I hope you get it soon!

Put the following equation of a line into slope-intercept form,
simplifying all fractions.
8x + 2y = -10

Answers

Answer:

y=-4x-5

Step-by-step explanation:

Subtract 8x from both sides to get the y variable alone. Then divide both sides by 2 and get y=-4x-5.

Answer:

y=−4x−5 because the guy on top of me said so

Step-by-step explanation:

The triangles in the picture are congruent by which method

Answers

The second answer choice.

Zion walked 1.7 miles in 1 hour. If he walks at the same rate, how far will he walk in 1.5 hours? Use partial products to find the answer.

Answers

Answer:

1 hour = 1.7 miles / 1.5 hours = ? Miles

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Step-by-step explanation:

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby
eucalyptus tree is 20 feet long. Find the height of the tree?

Answers

Answer:

16 feet

Step-by-step explanation:

Set up a proportion where x is the height of the tree:

[tex]\frac{4}{5}[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x:

5x = 80

x = 16

So, the tree is 16 feet tall

Explain why the expression below always has the same value, no matter what number other than zero you choose for p.

P-2P+3p-4P

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

P

Answers

Answer and explanation:

The expression P-2P+3P-4P cannot have the same values for different values of P. Let us illustrate this by substituting different values of P in the expression:

If P= 2

Substitute P=2 in the expression

2-2×2+3×2-4×2

=2-4+6-8

=-4

If P= 3

Substitute P=3 in the expression

3-2×3+3×3-4×3

=3-6+9-12

=-6

If P = 1

Substitute P=1 in the expression

1-2×1+3×1-4×1

= 1-2+3-4

= -2

If P = -2

Substitute P=1 in the expression

-2-2×-2+3×-2-4×-2

= -2+4-6+8

=4

Therefore we can see from the above that the expression has different values for different values of P

a student is painting a room at a constant rate she is able to paint 2/5 of the room in 1/2 of an hour how long does it take to paint the whole room

Answers

Answer:

She is able to paint 2/5's of the room in 1/2 hour. How long does it take to paint the whole room? = 7.5 minutes. Hence, it will take 5*7.5 = 37.5 minutes to paint the entire room.

Answer:

1 1/4 Hours

Step-by-step explanation:

2/5+2/5=4/5

4/5=1 hour

1/2/1/2=1/4

1/5 room in 1/4 hour

1+1/4=1 1/4 hours

2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet

Answers

Answer:

2/3

4

3.

An airplane is flying from New York City to Los Angeles. The distance it travels in

miles, d, is related to the time in seconds, t, by the equation d = 0.15t.

d= 0.15

1

0.157

t

(seconds)

1

30

d

(miles)

0.15

0.15 x 1

0.15 x 30

12.75

a.

How fast is it flying? Be sure to include the units.

b.

How far will it travel in 30 seconds?

C.

How long will it take to go 12.75 miles?

4.

Crater Lake in Oregon is shaped like a circle with a diamet

Step-by-step explanation:

Please help I am being timed!


Solve
7k – 8 = 28 + 24k

A. -2 2/17
B. -2
C. -1 5/31
D. 1 3/17

Sorry if this is easy I'm bad at math

Answers

The answer is A -2 2/17
I am pretty sure is A

The value of a boat if depreciating at at a rate of 9% per year. In 2006 the boat was worth $17,800. Find the worth of the boat in 2013.

Answers

Answer:

The worth of boat in 2013 will be $9202.6

Step-by-step explanation:

Rate of depreciation = 9% = 0.09

Cost of Boat in 2006 =$ 17,800

Cost of Boat in 2013 = ?

Years = 2013-2006= 7 years

The formula used is: [tex]\mathbf{A=P(1+r)^{t}}[/tex]

Since the value of boat is depreciating the value of r will be r=-0.09

Here P = 17,800 , r=-0.09 and t = 7 years Finding A

[tex]A=P(1+r)^{t}\\A=17,800(1+(-0.09))^7\\A=17,800(0.91)^7\\A=17,800(0.517)\\A=9202.6[/tex]

So, the worth of boat in 2013 will be $9202.6

Which expression is not equivalent to 1/16?​

Answers

Answer:

Is there any answer choices?

Step-by-step explanation:

Answer:

answer choices??

Step-by-step explanation:

Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent increase or decrease for Diego's measurement?

Answers

Answer: 4.5%

Step-by-step explanation:

From the question, we are informed that Diego measured the length of a pen to be 22 cm while the actual length of the pen is 23 cm.

The percentage decrease in his measurement will be:

= (23 - 22)/22 × 100

= 1/22 × 100

= 4.5%

Answer:

4.3%

Step-by-step explanation:

To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school's hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5). Name three lockers that will get both stickers. After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.

Answers

Answer:

The 30th sticker will have a sticker. The sticker will be 1 sticker (Kite Sticker) which will be put on the locker by Lin. This is because, following the arithematic progression of the sticker placement:

Locker 5 = Kite sticker

locker 10 = Kite sticker

Locker 15 = Kite sticker

.

.

Locker 30 = Kite sticker

It could be seen that at locker 30, the sticker to be placed by Lin will be Kite sticker

Step-by-step explanation:

<
6/11
What is the equation of the line that passes through point (4. 12) and has a y-intercept
of - 2?

Answers

Answer:

7x - 2y - 4 = 0

Step-by-step explanation:

from the perpendicular equation formula,

y/a + x/b = 1

x1 = 4

y1 = 12

a = -2

b= ?

Inserting the values into the above formula,

12/-2 + 4/b = 1

-6 + 4/b = 1

4/b = 7

b = 4/7

putting a and b into the original formula,

y/-2 + x/(4/7) = 1

-y/2 + 7x/4 = 1 (×4)

-2y + 7x = 4

7x - 2y - 4 = 0

Therefore, the equation of the line is;

7x - 2y - 4 = 0

you are saving money for a new iPhone. You've already save $249 and you make nine dollars per hour at work. How many hours, (h), must you work to have enough money to buy a $699 iPhone? Which inequality models this situation?

Answers

Answer: about 78 hours if you round up the answer!

Step-by-step explanation:

Answer:

$249 + 9h > $699

Step-by-step explanation:

We will start with $249 and then add the inequality for h. Note that the number can be larger than 699, but not lower.

$249 + 9h > $699

20 Points
Can anyone help me with these Geometry questions? Will give Brainliest.

Answers

Answer:

give brain list first

Step-by-step explanation:

How many games did he win? Help

Answers

28 games

I just got banned, I was expert rank...

The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.​

Answers

Answer:

Isn't it simpler just to take the square root of 1,521?

It's 39

Step-by-step explanation:

A city has an elevation of -752 feet. Which statement describes the city's elevation?
O-752 above sea level
O-752 below sea level
O 752 above sea level
O 752 below sea level

Answers

Answer:

The answer is C my good sir

Step-by-step explanation:

second answer since it’s negative meaning it’s below sea level

Find unit rate for 14 for 2.99

Answers

Answer: Okay so let's try to find the amount of money needed to buy 1 lb. Therefore, let's divide the fraction by 14.

Then we'll divide both the numerator and denominator by 14.

÷

Then we simplify and get:

14÷14=1     2.99÷14=.2135   We can round that to .21

The unit rate for each pound would be 1:.21

I don't know if that helped, but yeah. :)

Step-by-step explanation:

Find the length of each side of the triangle determined by the three points P1,P2,P 1,P 2, and P3. P3 State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.) P1=(−1,4);P2=(6,2);P3=(4,−5)P 1=(−1,4);P 2=(6,2);P 3 =(4,−5).

Answers

Answer:

IT IS BOTH

Step-by-step explanation:

Given the coordinate of the triangle, P1P2P3, we are to classify the triangle. To do that we need to know the length of each side of the triangle

P1P2, P2P3 and P1P2 using the formula for calculating distance between two coordinates

D = √(x2-x1)²+(y2-y1)²

For P1P2;

P1=(−1,4) P2=(6,2)

P1P2 = √(6-(-1))²+(2-4)²

P1P2 = √7²+2²

P1P2 = √53

For P1P3;

P1=(−1,4) P3=(4,-5)

P1P3 = √(4-(-1))²+(-5-4)²

P1P3 = √5²+9²

P1P3 = √25+81

P1P3 = √106

For P2P3;

P2=(6,2) P3 = (4,-5)

P2P3= √(4-6)²+(-5-2)²

P2P3 = √2²+7²

P2P3 = √53

Since two sides of the triangles are the same, this means that it is an isosceles triangle.

Let's check whether it is right angled by applying Pythagoras theorem

(√53)²+(√53)² = x²

x is the longest side (hypotenuse)

53+53 = x²

106 = x²

x = √106

Since the square of the hypotenuse is equal to the sum of the sum of the square of other two sides, then it is also a RIGHT ANGLED TRIANGLE

Madeline solved the inequality 3x + 7 ≤ 8x - 3 and her solution is x = 2.
Madeline is incorrect. Explain why she is incorrect. *

Answers

Answer:

In her answer she has an equality, x=2. Emphasis on equal. However, in the original inequality it's not a equal sign. x=2 is true, just not the complete the answer.

Answer should be x is greater than or equal to 2.

Hopefully that makes sense.

What is the value of 5a + 7b
if a = 4 and b = 3??
a : 41
b : 12
c : 43
d : 35

Answers

Answer:41Step-by-step explanation:multiplication and addition5x4=207x3=2120+21=41

Answer:

41

Step-by-step explanation:

the answer is a:41

this is because 5 times 4 is 20 and 7 times 3 is 21

so 20+21 is 41

What is an expression for 2 over 3 (4x +9).

Answers

Answer:

Step-by-step explanation:

2 / 3 ( 4x + 9 )

Distributive property

2 / 12x + 27

what's the simplified expression?

Answers

Answer:

6x⁴ + 20x³ - 30x² + 4

Step-by-step explanation:

Collect the like terms

6x⁴ + 18x³ + 2x³ - 36x² + 6x² + 12x - 12x + 4

SImplify expression

6x⁴ + 20x³ - 30x² + 4

Answer:

6x⁴- 18x³-4

i think

Step-by-step explanation:

Hello :) um Im just trying to learn this question- "Select the division equation that can be used to find the solution to the problem. 4/9 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?"

2 ÷ 4/9= ?
4/9 ÷ 2= ?
2 ÷ 1/9= ?
2 ÷ 2/9= ?

Answers

Answer: Choice A)    2 ÷ 4/9

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

Explanation:

We're told that 4/9 kg of baking soda costs $2

We can form the equation

4/9 kg = 2 dollars

We want to know the cost of 1 kg of baking soda, so we'll need to divide both sides by 4/9 to turn the "4/9 kg" into "1 kg"

Therefore,

4/9 kg = 2 dollars

turns into

1 kg = (2 ÷ 4/9) dollars

We could simplify further, but your teacher has decided not to.

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