10. Spotify charges x dollars for individual songs and y dollars for entire albums. Person A pays $14.9 A to download 5 individual songs and 1 album. Person B pays $22.95 to download 3 individual songs and 2 albums. How much does Spotify charge to download a song? an entire album?

Step-by-step explanation:

100%-> 940.00

100%-15%=85%

85%->940.00 ÷ 100 x 85

=799. 00

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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To write the equation of a circle centered at (h, k) with a diameter of d, we can use the standard form of the equation:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the center of the circle and r represents the radius.

In this case, the center of the circle is (-4, 4), and the diameter is 14. The radius is half of the diameter, so the radius would be 14 / 2 = 7.

Substituting the values into the equation, we have:

(x - (-4))^2 + (y - 4)^2 = 7^2

Simplifying further:

(x + 4)^2 + (y - 4)^2 = 49

Therefore, the equation of the circle centered at (-4, 4) with a diameter of 14 is:

(x + 4)^2 + (y - 4)^2 = 49

Answer:

Step-by-step explanation:

Given:

An alloy contains copper and zinc in a ratio of 3:7. The total mass of the alloy is 750g.

Required:

Find the mass of the metal in 750g of alloy.

Explanation:​

Let the mass of the metal is x gm.

The weight of copper = 3x

The weight of zinc= 7x

Total weight

Answer:

It takes takes them 31.67 secs to meet after Person A starts walking

OR

34.67 secs after Person B starts walking

Step-by-step explanation:

First, we will find the perimeter of the rectangle

From,

Perimeter of rectangle = 2 (\(l\) + \(b\))

Where \(l\) is the length

and \(b\) is the breadth

From the question, \(l\) = 100m

and \(b\) = 50m

Hence,

Perimeter of the rectangle = 2 (100+50)

= 2(150) = 300m

Hence, the perimeter of the rectangle is 300m

This is the total distance that will be covered by both persons by the time they meet.

Let the distance covered by person A be \(S_{1}\)

and the distance covered by person B be \(S_{2}\)

We can write that

\(S_{1}\) + \(S_{2}\) = 300m

Velocity of person A, \(V_{A}\) = 4 m/s

and velocity of person B, \(V_{B}\) = 5 m/s

From the question, Person A starts walking 3 seconds after person B,

This means, if person A spends \(t\) secs before they meet, then person B would spend (3 + \(t\)) secs.

For Person A,

Velocity = 4 m/s

Time = \(t\) secs

Distance = \(S_{1}\)

From,

\(Velocity = \frac{Distance}{Time}\)

Then,

\(Distance = Velocity \times time\)

\(S_{1} = 4 \times t\)

\(S_{1} = 4t\) ...... (1)

For Person B

Velocity = 5 m/s

Time = (t + 3) secs

Distance = \(S_{2}\)

Also, from

\(Distance = Velocity \times time\)

\(S_{2} = 5 \times (3+t)\)

\(S_{2} = 5(3+t)\) ...... (2)

Recall that, \(S_{1}\) + \(S_{2}\) = 300m

Then, \(S_{2}\) = 300m - \(S_{1}\)

We can then write that,

300m - \(S_{1}\) \(= 5(3+t)\)

Then,

\(S_{1} = 300 - 5(3+t)\) ..... (3)

Equating equations (1) and (3), we get

\(300 - 5(3+t) = 4t\)

\(300 - 15 -5t = 4t\\9t = 285\\t = \frac{285}{9}\\\)

\(t = 31.67 secs\)

This is the time spent by Person A

Hence, it takes takes them 31.67 secs to meet after Person A starts walking OR

34.67 secs after Person B starts walking

Answer:

I mistakenly rated Abdulazeez10's answer 2 stars because I thought he mixed up his variables, but I was actually the one who mixed up my variables.

Step-by-step explanation:

Sorry, Abdulazeez10 :( I can't change my rating, but just so everyone else knows, his answer is 100% correct!

hello

according to metric table

1 decagram = 1000 centigram

Joni's mistake was not multiplying by 1000

the answer is option B

Answer:

28.05$

Step-by-step explanation:

The game got a discount of 15%.
New price is   (30$) ( 0.85 )  =  25.5$   (since the discount is 15% you only pay for the 85% of the original price)

Then an increase of 10%. this is:
New price:   25.5$ (1.10) = 28.05

New price is 28$ with 5 cents

Answer:

x > −4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x+24>12

Step 2: Subtract 24 from both sides.

3x+24−24>12−24

3x>−12

Step 3: Divide both sides by 3.

3x/3 > −12/3

x>−4

Answer:

x>−4

Hope this helps

Answer:

139,488 miles

Step-by-step explanation:

5182×24 = 139,488

Answer:

its the first one

Step-by-step explanation:

5812 x 24 i just looked that up and got the anwser

The Pythagorean theorem states that:

\(a^2+b^2=c^2\)

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Let a represent the length of one leg.

Because the hypotenuse is 14 cm longer than a leg, we can say that the hypotenuse's length is 14 + a.

Plug these into the Pythagorean theorem:

\(a^2+b^2=c^2\\a^2+a^2=(14+a)^2\\2a^2=14^2+2(14)a+a^2\\2a^2=196+28a+a^2\\a^2=196+28a\\a^2-196-28a=0\\a^2-28a-196=0\)

Factor using the quadratic formula:

\(a=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

\(a=\dfrac{-(-28)\pm \sqrt{(-28)^2-4(1)(-196)}}{2(1)}\\\\a=14\pm14\sqrt{2}\\\\a=14+14\sqrt{2}\)

We know that it's plus because subtracting results in a negative value, and length cannot be negative.

This is the length of each side.

Because the hypotenuse is 14 cm longer, we can say that the hypotenuse is \(28+14\sqrt{2}\).

Leg length = \(14+14\sqrt{2}\)

Hypotenuse length = \(28+14\sqrt{2}\)

Answer: (-2, -1)

Step-by-step explanation:

Ok since we just have to find A", let's transform only point A.

Point A=(-1, 5).

Now let's translate it: (-1+3, 5-4). Point A' = (2, 1).

Now, we have to do a 180° rotation. The formula is (-x, -y).

Point A'' = (-2, -1)

Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

Answer:

7.45

Step-by-step explanation:

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

17.0625

Step-by-step explanation:

Due to order of operations the division and multiplication get done first and the we add the 12

Answer:

2.89285714

Step-by-step explanation:

9x9/16+12

81/16+12

5.0625 + 12 = 17.0625

Hope this helps :)

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Answer:

B. 2.

Step-by-step explanation:

You can find the average by substituting the given values in the function, then  do an arithmetic average with results.

So, for X = - 1 you get f(-1) = 1

For X = 0 you get f(0) = 3

So, the average with 1 and 3 is 2. Because you sum numbers which results 4, and then divided by 2 (the amount of numbers involved in the average).

Answer: 500 children play soccer

Step-by-step explanation:

Take the numbers you are given

240 boys

260 girls

now add them together

240 + 260 = 500

Answer:

500

Step-by-step explanation:

There is 240 boys and 260 girls

they all play the same sport

so add does numbers you get 500.

Answer: The answer is 43000

Step-by-step: Adding a number under 500 to get 43000 makes it rounded up and not down.

Answer:

Did you ever figure it out? I need the answer :/

Step-by-step explanation:

Answer:

Step-by-step explanation:

The conditional relative frequency that a student rides the bus, given that the student is in middle school is 0.16 / 0.96 ≈ 0.17.

Conditional relative frequency is a statistical measure that describes the proportion or percentage of a specific group or category within a subset of data. It is calculated by dividing the frequency of the specific category in the subset by the frequency of the total subset.

To find the conditional relative frequency that a student rides the bus, given that the student is in middle school, we need to divide the frequency of middle school students who ride the bus by the total number of middle school students.

From the table, we see that the frequency of middle school students who ride the bus is 0.16. The total number of middle school students is the sum of the frequencies in the first row, which is 0.20 + 0.16 + 0.12 + 0.48 = 0.96.

So, the conditional relative frequency that a student rides the bus, given that the student is in middle school is:

0.16 / 0.96 ≈ 0.17

Rounded to the nearest hundredth, the answer is 0.17. Therefore, about 17% of middle school students ride the bus.

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we have the inequality

step 1

isolate the variable y

Multiply by 2 both sides

the solution is the shaded area above the dashed line y=2-(2/3)x

so

step 2

Graph the line y=2-(2/3)x

to graph a line we need two points

Find the intercepts of the line

y-intercept (value of y when the value of x is zero)

For x=0

y=2-(2/3)(0) ------> y=2

the y-intercept is (0,2)

x-intercept (value of x when the value of y is zero)

For y=0

0=2-(2/3)x

(2/3)x=2 ----> x=3

x-intercept is (3,0)

step 3

Graph the line

plot the intercepts and join them

step 4

draw the inequality

shaded the area above the dashed line

see the attached figure to better understand the problem'

Considering the given linear function, variable x represents the number of hours since the bowl was filled.

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, the number of ounces of water left in the bown after x hours is given by:

y = -0.5x + 4.

Variable x is the input, hence, it represents the number of hours since the bowl was filled.

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Answer:

Part A: The number of ounces of water left in the bowl depends on the number of hours since the bowl was filled. So the number of ounces is the dependent quantity. The y-variable represents the dependent quantity. So, the y-variable represents the ounces of water left in the bowl.

Part B: The number of hours since the bowl was filled is the independent quantity. The x-variable represents an independent quantity. So, the x-variable represents the number of hours since the bowl was filled.

Part C: The value 4 is the initial value of the function. It represents the ounces of water in the bowl immediately after the bowl was filled and before the cat drank any water from the bowl.

Part D: The value -1/2 is the function’s rate of change. It represents the change in ounces of water in the bowl with every hour.

Step-by-step explanation:

I took the Edmentum test.

Answer:

9 weeks

Step-by-step explanation:

divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity