tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes

Answers

Answer 1

Answer:

Step-by-step explanation:

From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:

= $16/6

= $2.67

1 audio cassette will cost $2.67

The amount of money spent will depend on the number of audio cassettes. Therefore,

m = $2.67 × n

m = $2.67n

where n = number of audio cassette

The amount of money he'll pay for 9 cassette will be:

m = $2.67n

m = $2.67 × 9

m = $24.03


Related Questions

What is the area of the rhombus shown below?

Answers

Answer:

A. 97.5 square units

Step-by-step explanation:

==>Given:

Rhombus ABCD with the following dimensions:

diagonal 1 (d1) = BD = 15

diagonal 2 (d2) = AC = 13

AB = 9.9

==>Required:

Area of the rhombus

==>Solution:

Since we know the length of the 2 diagonals, area of the rhombus can be calculated using A = ½ × d1 × d2

Area = ½ × 15 × 13

A = ½ × 195

A = 97.5 square units

Answer:

A

Step-by-step explanation:

The equation a=180(n-2)/n represent the angle measures,a in a regular n-sided polygon. When the equation is Solved for n,n is equal to a fraction with a denominator of a-180. What is the numerator of the fraction.

Answers

Answer:

The

numerator is 360

Step-by-step explanation:

What we need to do here is make n the subject of the formula;

a = 180(n-2)/n

an = 180n-360

180n - an = 360

n(180-a) = 360

n = 360/(180-a)

(7x + 30) and 11x

I'm not sure what and is...is it adding or an equal sign?

Answers

for equal sign

(7x+30)=11x

30=11x-7x

30=4x

30/4=x

7.5=x

for plus sign

evalute

(7x+30)+11x

7x+11x+30

18x+30

factorize

(7x+30)+11x

18x+30

6(3x+5)

hope it help yuh..

If you are asked to graph y = 3x + 1, or y = x2 - x - 6, or y = x3 - 3, do you think it is a good idea to start by plugging in zeros? That is, to let x = 0 and then let y = 0? Why or why not?

Answers

Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

A circle with center (-1, 2) and radius of 8 has the equation

Answers

Answer:

c)

Step-by-step explanation:

The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

A circle with center (-1, 2) and radius of 8.

Then the equation of the circle will be

(x – h)² + (y – k)² = r²

(x + 1)² + (y – 2)² = 8²

(x + 1)² + (y – 2)² = 64

Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.

Then the correct option is D.

Learn more about the equation of a circle here:

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Can someone help me please

Answers

Answer:

The answer to number one is 11√17

The answer to number two is 4

Step-by-step explanation:

In number one: once you get both radicands to be equal, then you can add them. Like of it like 3x+2x. The x’s are like terms, so you can add them together.

In number two: the √5 on the top and bottom cancel out. This leaves 12/3 which is equal to 4.

Which of the following best describes the graph shown below?

Answers

Answer:

B. This is a graph of a one to one function

Answer:B

Step-by-step explanation:

I’ve been trying to figure this out all day and still can’t seem to figure it out

Answers

Answer:

(4x-1)(4x-1)

(x-6)(x+5)

(3x-7)(3x+7)

(3x-1)(x+6)

Step-by-step explanation:

yes

work out the area of a circle with diameter 1.8cm take pie to be 3.142 and give your answer to 1 decimal place.

Answers

Area of a circle = Pi x r^2
Area = Pi x 3.24
Area = 10.18...
Area = 10.2 cm

Antone is taking four of his friends to see the latest movie. Each ticket is $5.50, and he is paying for all five tickets. How much money does Antone need to bring to pay for all of the tickets? A. $22.00 B. $27.50 C. $88.00 D. $110.00

Answers

Answer: $27.50

Step-by-step explanation:

For all 5 tickets, Antone will pay

5 * 5.50 = 27.50

Answer:

B

Step-by-step explanation:

An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20

Answers

Answer:

d

Step-by-step explanation:

edge2020

Option D is correct. The exponential function is increasing when time goes and the total return on investment.

What is exponential function?

An exponential function is of the form aˣ where 'a' is the base of the function and 'x' is the power of the function.

What is quadratic function?

A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".

According to the question,

Let 'x' is the time in years and f(x) is the total return on investment. The below table shows the function over the interval.

                    x                                                    f(x)

 a decreasing quadratic function                 10,000

 an increasing quadratic function               12,201.90

a decreasing exponential function              14,888.64

an increasing  exponential function             22,167.15            

Quadratic function f(x) = ax² +b x +c  a > 0

A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows as time in years change does not give maximum total return on investment.An increasing quadratic function the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows change in time in years does not give maximum total return on investment.  

Exponential function f(x) = a. bˣ +q                                    

The exponential function is decreasing when a < 0 and 0 ≤ b < 1. Then the function f(x) is decreasing exponential function. Clearly it shows time goes, total return on investment is not maximum. The exponential function is increasing when a > 0 and b > 1. Then the function f(x) is increasing exponential function. Clearly it shows time goes, total return on investment is maximum.

Hence, the exponential function is increasing when time goes and the total return on investment.

Learn more about exponential function here

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this question is my thing

Answers

Answer:

Below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1

H(a)= 3a - 4; Find h(8)

Answers

Answer:

20

Step-by-step explanation:

You plug 8 into the equation where a is. 8 x 3 = 24 - 4 = 20.

Please please please help me I need to get this right so please don’t do that if you don’t know geometry

Answers

Answer:

Step-by-step explanation:

All the sides are marked with congruency slashed, and they all line up when you orient the triangles the same way, so the statement is SSS.

Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. A) −6 B) −4 C) 3 D) 8

Answers

Answer:

-4 =x

Step-by-step explanation:

ƒ(x) = 9x + 54

Let f(x) = 18

18 = 9x+54

Subtract 54 from each side

18-54 = 9x + 54-54

-36 = 9x

Divide each side by 9

-36/9 = 9x/9

-4 =x

Answer: B

Step-by-step explanation:

Well, they told you what f(x) equals. So make the function of f(x) equal to the value they gave, 18

[tex]18=9x+54[/tex]

Subtract 54 from both sides to get:

[tex]-36=9x[/tex]

Divide both sides by 9 to get x = -4

*WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3x} }{\sqrt{x-8} } =3[/tex]

[tex]\sqrt{3x}=3\sqrt{x-8}[/tex]

[tex]\left(\sqrt{3x}\right)^2=\left(3\sqrt{x-8}\right)^2[/tex]

[tex]3x=9x-72[/tex]

[tex]3x-9x=-72[/tex]

[tex]-6x=-72[/tex]

[tex]x=12[/tex]

Answer:

[tex] \frac{ \sqrt{3x} }{ \sqrt{x - 8} } = 3[/tex]

[tex] \sqrt{3x} = 3 \sqrt{x - 8} [/tex]

[tex]3x = (3 \sqrt{x - 8} )^{2} [/tex]

[tex]3x = 9(x - 8)[/tex]

[tex]3x = 9x - 72[/tex]

3x - 9x = -72

-6x = -72

x = 12

Q4: Katie and Tyler are working at their lemonade stand. An hour ago, their pitcher of lemonade was 78 full. Since then, they have sold 12 of a pitcher of lemonade. What fraction of a pitcher do they have left?

Answers

Answer:

3/8 of the pitcher of lemonade remains.

Step-by-step explanation:

They tell us that at first they had 7/8 of a pitcher full of lemonade, and they ask us to know what fraction is left if they have taken 1/2 of the pitcher of lemonade for a while, which means that it would be a subtraction between what had at the beginning and what they have taken, would be:

7/8 - 1/2 = (14 - 8) / 8 * 2 = 6/16 = 3/8

Which means that 3/8 of the pitcher of lemonade remains.

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

Answers

Answer:

f⁻¹(f(6.022)) = 6.022

f⁻¹(-10) + f(-6) = -6 + -10 = -16

Step-by-step explanation:

f⁻¹(f(x)) = x

so  f⁻¹(f(6.022)) = 6.022

inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6

f⁻¹(-10) + f(-6) = -6 + -10 = -16

*I will give you brainliest* Just give me the answer no explanation is needed , thank you :).

Answers

Answer: True

Step-by-step explanation:

The temeprature is solely reliant on time, meaning its a function of time

Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. If Joanna increases the recipe to use 5 of sugar, how many teaspoon of salt will she need?

Answers

Answer: B. 3 3/4

Step-by-step explanation:

From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:

= 1/2 × 1 1/2

= 1/2 × 3/2

= 3/4 teaspoon of salt.

We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:

= 3/4 × 5

= 15/4

= 3 3/4

please help me, I just needa pass this lesson!!!

Answers

Answer:

Plot the points (0,2) and (3,3)

Step-by-step explanation:

(0,2) is the y-intercept and the slope is always rise over run so go up 1 unit and right 3 units, that gets you to (3,3)

you could also plot any point other than (3,3) that is on the same line

Please help me with math

Answers

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Can someone please explain what I did wrong here? Thank you!

Answers

Answer:

you didn't do anything wrong who ever said you did is stupid

The answer is attached.

Use cross products to identify the equation needed to solve this proportion: 5/x = 2/9

Answers

Answer:

x=22.5

Step-by-step explanation:

We are given the proportion:

5/x=2/9

Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.

5*9=2*x

45=2x

2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.

45/2=2x/2

45/2=x

22.5=x

If we substitute 22.5 in for x, the final proportion will be:

5/22.5=2/9

Answer: 22.5 = x

Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.

HELP PLEASE WITH THE IMAGE BELOW it would mean a lot if someone helped me answer this question and maybe even explain how you got it.

Answers

Answer:

65/97 = 0.67

Step-by-step explanation:

using trigonometric ratios

Cosine of angle = [tex]\frac{adj}{hyp}[/tex]

How do you solve [tex]x^2 + 7x + 2 = 0[/tex]?

Answers

Answer:

       -7 ± √6

x = ----------------

              2

Step-by-step explanation:

You have several options here.  One would be "completing the square," and another would be "quadratic formula."

Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.

The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.

The roots are thus:

       -7 ± √6

x = ----------------

              2

Can some one help me plz on this problem I need help asap! I need yo solved this problem plz help help help?

Answers

Answer:

The answer is 64.

Step-by-step explanation:

You only have to substitute the value of a, b and c into the expression :

[tex] {b}^{2} - 4(a)(c)[/tex]

Let a = 3,

Let b = 4,

Let c = -4,

[tex] {4}^{2} - 4(3)( - 4)[/tex]

[tex] = 16 - 4( - 12)[/tex]

[tex] = 16 + 48[/tex]

[tex] = 64[/tex]

Answer:

64

Step-by-step explanation:

Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left. How many pennies did they lose altogether?

Answers

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

The radius of a circle is 7.1 cm. Find the circumference to the nearest tenth.

Answers

Answer:44.61?

Step-by-step explanation:

The 6 in 61 represents how many times the value of the 6 in 69?​

Answers

1 time. The value of 6 in 69 is 60. the value of the 6 in 61 is 1 times the value of the 6 in 69.
hope this helps :))
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