Wendell just got a new iPod and wants to download music. He finds two different sites for downloading music. The first one is itoons and the cost is $1 per song. The second one is song-R-Us.com and has a$5 monthly fee and cost of 0.50 per song. What is the equation for both music apps

Answer:

The correct answer is A. 60 square feet.

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.

Length of the sides of the base = 6 feet

Slant length = 5 feet

Height = 4 feet

2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

Area of a square pyramid = Base area + 1/2 Perimeter * Slant length

Replacing with the real values, we have:

Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5

Area of a square pyramid = 36 + 1/2 (24) * 5

Area of a square pyramid = 36 + 12 * 5

Area of a square pyramid = 36 + 60

Area of a square pyramid = 96 feet ²

3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.

So we need to subtract the area of the base to the area of the square pyramid:

Area of the square pyramid - area of the base

Area of the base = 6 * 6 = 36 feet ²

96 feet ² - 36 feet ² = 60 feet ²

The correct answer is A. 60 square feet.

Answer:

60

Step-by-step explanation:

e d g e n u I t y

The width of the rug is 3 inches

Step-by-step explanation:

A knitter wants to make a rug for a dollhouse

We need to find the width of the rug

∵ The area of the rug is A(w) = w(2 + w)

- Simplify the right hand side

∴ A(w) = 2w + w²

∵ The desired area of the rug is 15 square inches

- Equate A(w) by 15

∴ 2w + w² = 15

- Subtract 15 from both sides

∴ 2w + w² - 15 = 0

- Its a quadratic equation arrange its terms from the greatest power of x

∴ w² + 2w - 15 = 0

Factorize it into two binomial factors

∵ w² = w × w

∵ 15 = 3 × 5

∵ 5w - 3w = 2w

∴ w² + 2w - 15 = (w -3)(w + 5)

∴ (w - 3)(w + 5) = 0

- Equate each factor by 0

∴ w - 3 = 0 OR w + 5 = 0

∵ w - 3 = 0

- Add 3 to both sides

∴ w = 3

∵ w + 5 = 0

- Subtract 5 from both sides

∴ w = -5 ⇒ rejected because no dimension with -ve value

∴ w = 3 only

The width of the rug is 3 inches

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Answer:

Step-by-step explanation:

[tex](5x^2)(-4x^3)=\bigg(5\cdot(-4)\bigg)(x^2x^3)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-20x^{2+3}=-20x^5[/tex]

Answer:

2(2x+4)=6x+10

2x=2

x=2/2

x=1

y=2(-1)+4

y=-2+4

y=2

Answer:

Well, It is but not because..rotation symmetry, and a square has -turn (or 90-degree) rotation symmetry. As you may have already observed, many figures have 180-degree rotation symmetry but no other rotation symmetry. A figure has 180-degree rotation symmetry if it looks the same when turned halfway around...Soo yeah..I think I am right, So sorry if I'm wrong.

Step-by-step explanation:

Yes, a figure can have 90° rotational symmetry but not 180° rotational symmetry.

Yes, it is possible for a figure to have 90° rotational symmetry but not 180° rotational symmetry. To understand this, think about the number '6'. If you rotate it 90° clockwise, it looks exactly the same, but if you rotate it 180°, it becomes '9'. So, the figure has 90° rotational symmetry but not 180° rotational symmetry.

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Answer:

[tex]\large\boxed{x=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]4^{3x}=4^2\iff3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}[/tex]

Answer:

C is the answer

Step-by-step explanation:

just took the assignment, and got 100%

Answer:

[tex]p=\frac{200-5s}{11}[/tex]

Step-by-step explanation:

Let

p ---> the price of one piranhas

s ---> the price of one shark

we know that

The price of one piranhas multiplied by 11 plus the price of one shark multiplied by 5 must be equal to the budget of £200

so

The linear equation that represent this situation is

[tex]11p+5s=200[/tex]

Solve for p

That means ----> isolate the variable p

subtract 5s both sides

[tex]11p=200-5s[/tex]

Divide by 11 both sides

[tex]p=\frac{200-5s}{11}[/tex]

The expression for how far Marcia ran on Tuesday is 1.18m miles.

To find the expression for how far Marcia ran on Tuesday, we can start by noting that she ran 18% farther than she did on Monday. Since she ran m miles on Monday, we can express the distance she ran on Tuesday as m + 18% of m.

To calculate the 18% of m, we need to multiply m by 18/100 or 0.18. Therefore, the expression for how far Marcia ran on Tuesday is m + 0.18m, which simplifies to 1.18m.

So, Marcia ran 1.18m miles on Tuesday.

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Answer:

39.40

Step-by-step explanation:

5 × 4 = 20 so you put down the 0 and carry the 2, 8 × 4 = 32 + 2 = 34 so you put down the 4 and carry 3, 9 × 4 = 36 + 3 = 39 so you put down 39. Don't forget to put the decimal place 2 spaces away from the answer. So you get 39.40.

The drawing can also help.

Answer:

Slope: -10

Y-intercept: 50

X-intercept: 5

Step-by-step explanation:

y-mx+b

y=-10x+50

Answer:

(-4, 0)

Step-by-step explanation:

range applies to the y values.

The lowest y value it hits is -4, while the highest is 0.

Therefore, range is (-4, 0)

Final answer:

After 64 sessions, the cost of both of Kendall's plans would be the same, which would be $2149.

Explanation:

Kendall's two pricing plans can be represented by linear equations. Plan 1 is $37 + $33 per session, while Plan 2 is $101 + $32 per session. To find out after how many sessions the cost would be the same, we set the two equations equal to each other:

37 + 33x = 101 + 32x

This simplifies to:

33x - 32x = 101 - 37

x = 64

So, after 64 sessions, the cost of both plans would be equal. To find that cost, we substitute x back into either equation:

Total cost for Plan 1 = 37 + 33(64) = $2149

Therefore, the cost for 64 sessions is $2149 using either plan.

Answer:

b

Step-by-step explanation:

the answer is b , x= 2 and y= 8, observe: 3.2+ 4.8= 6+32=38 , second ecuation 5.2-5.8= 10-40= -30

Answer:

3 stamps for $5

Step-by-step explanation:

$5 times 3 is $15

Answer:

A

Step-by-step explanation:

if you multiply the top by 2 the coefficients for x will be the same in both equations

4*2=8

The equations have equal x-coefficients is to A. Multiply both sides of the top equation by 2.

Multiplying both sides of the top equation by 2 results in:

8x + 4y = 8

This makes the x-coefficients equal in both equations, as they are both now 8x.

Option B would not work, as dividing both sides of the top equation by 4 would result in an x-coefficient of 1x in the first equation and 8x in the second equation.

Option C would also not work, as dividing both sides of the top equation by 2 would result in an x-coefficient of 2x in the first equation and 8x in the second equation.

Option D would work, as multiplying both sides of the top equation by 4 would result in an x-coefficient of 8x in both equations. However, option A is the simplest and most direct way to achieve the desired result.

Therefore, the correct answer is A. Multiply both sides of the top equation by 2.

The equality used is Subtraction property of equality

Option A is correct

Step-by-step explanation:

We need to identify which option best explains or justifies Step 1.

Step 1 is: [tex]-c = ax^2 + bx[/tex]

The given equation is: [tex]0 = ax^2 + bx + c[/tex]

To get the equation for step 1 we need to subtract c on both sides of equation i.e using subtraction property of equality

[tex]0-c = ax^2 + bx + c-c[/tex]

[tex]-c = ax^2 + bx [/tex]

So, The equality used is Subtraction property of equality

Option A is correct.

Keywords: Solving Quadratic Equations

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Answer:

one hundred million seven thousand and one

Answer:

One hundred million seven thousand and one

Step-by-step explanation:

You invested 11000 in in 2st fund and 9000 in 2nd fund

Given that, You invested money in two funds.  

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.  

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)  

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)  

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660  

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations  

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)  

0.12(11000) + 0.02y = 1500  

0.02y = 1500 – 1320  

0.02y = 180  

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

Answer: 3

Step-by-step explanation: We found the factors and prime factorization of 21 and 27. The biggest common factor number is the GCF number. So the greatest common factor 21 and 27 is 3.

The greatest common factor of 21 and 27 is 3.

A set's greatest common factor (GCF) is the largest factor that all of the numbers share.

For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

We have the number 21 and 27.

Now, factories 21 and 27 as

21 = 3 x 7

27 = 3 x 3 x 3

So, the common factor of 21 and 27 is 3.

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Step-by-step explanation: To find the slope of a line with a negative slope, we would use the ratio rise/run between any two points that are on that line.

Let's look at an example which I have provided in the image attached. I have labeled two points which are points A and B.

Notice however that to get from point A to point B, we must first go down 3 units so we say that our rise is -3. From there we move 4 units to the right so our run is 4. So our slope or rise over run is -3/4.

It's a bit of a trick question.  The principal square root of a real number, as indicated by the radical sign, is never negative. So if p is negative we'll get -p as the result.  We write this with absolute value:

[tex]\sqrt{p^2} = |p|[/tex]

Answer: n=45 degrees, m=20 degrees

Step-by-step explanation:

the smaller triangle is isosceles

since one of the angles is 90 degrees that the other have to be 45 degrees each

so n=45 degrees

the big triangle is also isosceles meaning that m+n=(180-50)/2

m+n=65

we know n=45

so m=20

Answer: Yes it is irrational

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

sqrt(3)=1.73205080...

Therefore, it's irrational.

Answer:

6/14 or 0.43 it depends from a question

Answer:

-4(i+9)

Step-by-step explanation:

(4+5i)(-4+sqrt(-16))

(4+5i)(-4+4i)

-16-20i+16i+20i^2

-16-4i+20(-1)

-16-4i-20

-4i-16-20

-4i-36

-4(i+9)

Answer:

your answer would be X>-4

Answer:

c

Step-by-step explanation:

let the number be n then multiplied by itself gives n², thus

n² + 7 = 16 ( subtract 7 from both sides )

n² = 9 ( take the square root of both sides )

n = [tex]\sqrt{9}[/tex] = 3

Final answer:

The positive number that when squared and increased by 7 equals 16 is 3, which corresponds to option (c).

Explanation:

The student is asking to find a positive number which, when multiplied by itself (squared), and then 7 is added, equals to 16. To find this number, we can set up a simple equation where x is the positive number we are looking for: x2 + 7 = 16. To solve for x, subtract 7 from both sides to get x2 = 9. Taking the square root of both sides gives us x = 3, since 32 = 9. Therefore, the correct answer is (c) 3.

Answer:

Domain of set of given ordered pair is { -1, 0, 5, 10}

Step-by-step explanation:

All of the values that can go into a relation or function (input) are called the domain.

The domain is the set of all first elements of ordered pairs (x-coordinates).

     In the given question,

                 ordered pairs are (-1,1) , (0,-1) , (5,-11) , (10,-21)

     Therefore,

       Domain is the set of all first elements of ordered pairs.

       i.e -1, 0, 5, 10

       Hence the required set is   { -1, 0, 5, 10}.

The domain of the set of ordered pairs is {-1, 0, 5, 10}.

The domain of a set of ordered pairs represents all the x-values in the set. In this case, the set of ordered pairs is (-1,1), (0,-1), (5,-11), and (10,-21). The x-values in this set are -1, 0, 5, and 10. Therefore, the domain of the set of ordered pairs is A. {-1, 0, 5, 10}.