Frannie put 1/3 of her music collection on an mp3 player. While on vacation, she listened to 1 /2 of the music on the player. How much of Frannie's music collection did she listen to while on vacation? Choose the correct values to describe how to solve the problem.

Answers

Answer 1

Answer:

the solution to the problem is that Frannie listened to  1/6 of her entire music collection while on vacation.

Step-by-step explanation:

Fraction of the music collection on the MP3 player: 1/3

Fraction of the music on the MP3 player listened to: 1/2

Fraction of the entire music collection listened to: 1/6

Answer 2

Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation.

To solve this problem, we need to calculate the fraction of Frannie's total music collection that she listened to on vacation.

Firstly, Frannie put [tex]\(\frac{1}{3}\)[/tex] of her music collection onto her mp3 player. This means that the music on the mp3 player represents [tex]\(\frac{1}{3}\)[/tex] of the whole collection.

While on vacation, she listened to [tex]\(\frac{1}{2}\)[/tex] of the music on the player. So, she listened to [tex]\(\frac{1}{2}\) of \(\frac{1}{3}\)[/tex] of her total collection.

To find out how much of the entire collection this is, we multiply the two fractions together:

[tex]\[ \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \][/tex]

This multiplication is justified because she listened to half of a third of her collection, which is the same as saying she listened to a sixth of her collection.

Therefore, Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation."


Related Questions

What is the simplified quotient?

•0

•1

• x2 - 6x + 9

______________

4x2 + 20x + 25


•4x2 + 20x + 25

______________

x2 - 6x + 9




The correct answer is (1)

Answers

Answer:

Is 1

Step-by-step explanation:

Just got it right people. Trust me

A cube has and edge length of 2 centimeters. What is it’s volume, in cubic centimeters?

Answers

Answer:

8

Step-by-step explanation:

2x2 is 4 and x 2 is 8. I think im right?

Answer: 8

Step-by-step explanation:


Five brothers picked 5 pounds of apples. Two of the
brothers will share 3 pounds of apples equally and the
other 3 brothers will share 2 pounds of the apples
equally. In which group does each brother get a greater
amount of the apples?
Use what you know about division and fractions to
explain why your answer is reasonable. worth 29 points will mark you. ​

Answers

Answer:

Step-by-step explanation:

Two brothers get three pounds to share is the answee.

2 brothers will share 3 pounds. Divide 3 pounds by 2 people:

3/2 = 1-1/2 pounds per person.

3 brothers will share 2 pounds. Divide 2 pounds by 3 people:

2/3 = 2/3 pounds per person.

The 2 brothers sharing 3 pounds will have more apples each.

Express z=−10\sqrt{3} −10i in polar form.
Express your answer in exact terms, using radians, where your angle is between 0 and 2π radians, inclusive.

Answers

Answer:

z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]

Step-by-step explanation:

Polar form is

r(cos(theta) + isin(theta))

r = sqrt[(-10/sqrt3)² + (10)²]

r = sqrt(400/3)

r = 20/sqrt(3)

tan^-1[10 ÷ (10/sqrt(3))] = π/3

Theta: -π + π/3 = -2π/3

z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]

Find the output, k, when the input, t, is 3.

K=13t-2
K=

Answers

K=37

You multiply 13 and 3 and you get 39. You then subtract 2 from 39 to get K.

The value of the variable 'K' at t = 3 will be 37.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation is given below.

K = 13t - 2

The value of the variable K at t = 3 will be given as,

K = 13t - 2

K = 13 x 3 - 2

K = 39 - 2

K = 37

The value of the variable 'K' at t = 3 will be 37.

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What is the volume of a cylinder with base radius
2and height 9???

Answers

the volume is equal to 113.1

Volume of a cylinder will be 113.112cm³.

The volume of a cylinder can be calculated using the formula

V = π r² h,

where r is the base radius and h is the height

Plugging in the values, we get

V = 3.142 × (2 cm)² × 9 cm

V = 113.112 cm³

What is the value of 3 to the 3rd power + 4 to the 2nd power?

Answers

Answer:

43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16=43

Answer:

The value of 3 to the 3rd power + 4 to the 2nd power is 43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16= 43

10. A basketball court is being painted. Everything
shown below will be painted blue. How any square
feet will be painted blue?

Answers

I believe the answer is 142.09

Winona has 4 quarters and 1 nickel. Which does not represent the value of 4 quarters and 1 nickel?

Answers

Anything that doesn't show $1.04 is wrong.

1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.
What is the scale factor for the similar figures? What is the surface area of the smaller prism?

Answers

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

so

[tex]z^3=\frac{x}{y}[/tex]

we have

[tex]x=972\ cm^3\\y=36\ cm^3[/tex]

substitute

[tex]z^3=\frac{972}{36}[/tex]

Simplify

[tex]z^3=27\\z=3[/tex]

therefore

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

so

[tex]z^2=\frac{x}{y}[/tex]

we have

[tex]x=594\ cm^2[/tex]

[tex]z=3[/tex]

substitute

[tex]3^2=\frac{594}{y}[/tex]

solve for y

[tex]y=\frac{594}{9}=66\ cm^2[/tex]

therefore

The surface area of the smaller prism is 66 square centimeters

How many permutations can you make from the letters A,B,C,D And E?

Answers

Answer:

25

Step-by-step explanation:

5x5

Answer 25 Explanation 5x5

A shape is randomly selected from the following quadrilaterals: parallelogram, rhombus, rectangle, square, and trapezoid. What is the probability that it has four right angles, given that it has four congruent sides?

Answers

Answer:

1/2.

Step-by-step explanation:

There are 2 quadrilaterals which have 4 congruent sides in the list: A square and a rhombus, The square  is the one with four right angles.

So the required  probability  is 1/2.

The probability that the shape has four right angles, given that it has four congruent sides is 1/2.

What is probability?

Probability is the ratio that shows the likelihood of an event occurring from a given set of other events.

It is given that there are 5 shapes.

There are 2 shapes that have congruent sides. They are rhombus and square.

There are 2 shapes that have right angles. They are the square and the rectangle.

P( shape has four right angles, given that it has four congruent sides ) = number of shapes with four congruent sides and four right angles/number of shapes with congruent sides = 1/2

Therefore, we have found that the probability that the shape has four right angles, given that it has four congruent sides is 1/2.

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2x-4y=8
Y=3/2x
solution

Answers

Answer:

(- 2, - 3 )

Step-by-step explanation:

Given the 2 equations

2x - 4y = 8 → (1)

y = [tex]\frac{3}{2}[/tex] x → (2)

Substitute y = [tex]\frac{3}{2}[/tex] x into (1)

2x - 4([tex]\frac{3}{2}[/tex] x ) = 8

2x - 6x = 8

- 4x = 8 ( divide both sides by - 4 )

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = [tex]\frac{3}{2}[/tex] × - 2 = - 3

Solution is (- 2, - 3 )

(-2,-3)
Hope I helped! :)

what is the area of a triangle whose side is 17 meters long​

Answers

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]17^{2} -8.5^{2} = 216.75[/tex]

[tex]\sqrt{216.75}[/tex] = 14.72243186

Now, we use another formula to find the area of the triangle: [tex]\frac{Base*Height}{2}[/tex]

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = 125.1406708

Two candles of equal height start to burn simultaneously. One of the candles is thicker than the other one and burns out in 4 hours, while the thinner one burns out in 2 hours. Both of the candles are extinguished after some time, and the remaining height of the thicker candle is now 3 times as long as the thinner one. How many minutes were the candles burning for?

Answers

Answer:

hope this helps you to understand

at least $7500 with this event. Tickets for the fundraiser are $75.00 per couple, and they have to pay a $375 fee for renting the community center. Write and solve an inequality to determine the minimum number of tickets they need to sell to reach their goal.

Answers

Answer:

75x + 375 [tex]\geq[/tex] 7500

      -375       -375

_________________

75x [tex]\geq[/tex] 7125

divide both sides by 75

x is greater than or equal to 95

95 or more to reach goal

Step-by-step explanation:

Samira is playing a game with the spinner shown.
a. What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given​ spin? Enter as a fraction.
b. Predict how many times the pointer will land in a section labeled with the letter A after 300 spins.

Answers

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Answer:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Step-by-step explanation:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution?

Answers

Answer:

p > 10.67

Step-by-step explanation:

Given the inequality -1 1/2p < -16

Before we can represent the inequality on a graph we just simplify it first. On simplification:

-1 1/2p < -16

(-3/2)p < -16

Multiplying both sides by 2

-3p < -32

Dividing both sides by -3 will change the sense of the inequality as shown:

p > -32/-3

p > 32/3

p > 10.67

Find the graph of the resulting inequality in the attachment.

Answer:

Graph A since these idiots cant just put the answer.

Step-by-step explanation:

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

k² − 4k + 


Answers

Answer:

4.

Step-by-step explanation:

Hope this helps!

Answer:

k² − 4k + 4

Step-by-step explanation:

recall the following property of perfect square quadratics

(a-b)² = a²- 2ab + b²  --------------( eq1)

We are given:

k² − 4k + ? --------------(eq 2)

and we are asked to determine ? for which the expression above is a perfect square.

Manipulating the given equation:

k² − 4k + ?  (factor out 2 from the 2nd term), we get:

k² −(2)(k)(2) + ?

now we compare this with the right side of  (eq1)

a²- 2 a b + b²

we can clearly see that a = k and b = 2,

substituting this back into eq 2,

k² − 4k + 2²

= k² − 4k + 4

A decorative steel is shown and it is made from circular circle and 6 stems.
The length of each stem is 45cm.
Workout the total length of steel used in the frame

Answers

The total length of the steel used in the frame is 270 cm, if the decorative steel up of 6 stems and each stem is 45 cm.

Step-by-step explanation:

The given is,

           Decorative steel made from circular circle of 6 stems

           The length of the stem is 45 cm

Step:1

         We need to find the total length of the steel used in the decorative steel,

          Let,  T - Total length of the steel

                  L - Length of the stem

                  n - Number of stems used in steel frame

Step:2

       Formula to find the total length of the steel is,

                            [tex]T=[/tex] [tex]l[/tex] × [tex]n[/tex]

       From given,

                  [tex]l[/tex] = 45 cm

                 [tex]n[/tex] = 6 stems

       Substitute the values in formula,

                          [tex]T =[/tex] ( 45 × 6 )

                              = 270

                        [tex]T =[/tex] 270 cm

Result:

         The total length of the steel used in the frame is 270 cm.

Final answer:

The total length of steel used in the decorative steel frame, made with 6 stems of 45cm each, is 270cm.

Explanation:

To solve this question, we simply need to multiply the length of each stem by the number of stems used in the decorative steel. As stated, each stem measures 45cm, and there are 6 stems used in total.

Therefore, the total length of steel used in the frame would be calculated as follows:

Determine the length of an individual stem: 45cmDetermine the total number of stems: 6Multiply these two figures together: 45cm * 6 = 270cm

So, the total length of steel used in the frame is 270cm.

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(04.01 LC)

The coordinates of point A on a grid are (−3, −2). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, −2). (1 point)


Answers

Answer:

(3,-2)

Step-by-step explanation:

reflection over why axis will make the x coordinate positive.

Score: 0 O 1 PL
2.3.1
Solve the equation. Check your solution.
2x + 4x - 5= 37
x=
(Simplify your answer.)

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

combine 2x and 4x to get 6x. Add 5 to 37 to get 42. divide the 6 and 42 to get x=7

The variables x and y are related proportionally. When x = 6, y = 14. Find y when x = 48.
When x = 48, y =

Answers

Answer:

112

Step-by-step explanation:

When something is related proportionally, that means that multiply by some value constant k, will result in the output.

Thus, to find k, all you have to do is divide y/x

14/6 = 7/3 = k

kx = y

48*7/3 = y = 112

pls help me i’ll give u a brainlest

Answers

Answer:

6 inches

Step-by-step explanation:

The volume of a box can be calculated with the simple formula [tex]l\cdot w\cdot h[/tex], where l represents length, w represents width, and h represents height. You know that [tex]6\cdot 13\cdot h=468[/tex], so dividing both sides by 13 and 6 yields h=6 inches. Hope this helps!

Answer:

The height is 6

Step-by-step explanation:

468 divided by (13 x 6) = height

13 x 6 = 78

468 divided by 78 = 6

I need help with this

Answers

Answer: D.

Step-by-step explanation:

7 x (2+3) = 7 x (3+2)

7 x (5) = 7 x (5)

35 = 35

Due to the Commutative Property of Multiplication

Answer:

D

Step-by-step explanation:

7 times 5 equal 35,

and 7 times (3+2) equals 35,

so the D equation are right.



The resulting ΔR'S'T' is an example of what kind of transformation?

Answers

Answer:

reflecting across y-axis

Step-by-step explanation:

I hope this helps :)

what is the product of 4^4(4^-7)(4)

Answers

Answer:

0.0625

Step-by-step explanation:

Answer: [tex]4^{-2}[/tex]

Step-by-step explanation:

Equation:

[tex]4^4*4^{-7} *4^1[/tex]

When multiplying exponents with the same base, you can add the exponents together to find your answer:

4 + (-7) + 1

Anastasia thinks of a positive integer.
Barry doubles Anastasia's number.
Connor trebles Barry's number.
Damion multiplies Connor's number by 6.

Eve notices that the total of the four numbers is a perfect square.

What is the smallest positive integer that Anastasia could have thought of?

Answers

Answer:

6

Step-by-step explanation:

Anastasia thinks of a positive integer, say x

Barry doubles Anastasia's number.

Barry's Number=2x

Connor trebles Barry's number.

Connor's Number=3x

Damion multiplies Connor's number by 6.

Damions Number=6(3x)=18x

Total of the Four Numbers=x+2x+3x+18x=24x

To find the value of x that makes 24x the smallest  perfect square

First, express it as a product of prime factors

[tex]24x=2 X 2 X 2 X 3 X x=2^3X3Xx\\$Multiply both sides by 2 and 3 to make the powers even\\24 X 2 X 3=2^3X3X2 X 3=2^4X3^2\\$24 X [2 X 3]=144 which is a perfect square\\Therefore, x=6[/tex]

Final answer:

Anastasia's initial number could be denoted as 'a'. This number is modified by Barry, Connor, and Damion, and the sum of all these numbers is a perfect square. The smallest positive integer for 'a' that achieves this is 1.

Explanation:

Let's denote the number that Anastasia thought of as 'a'. Barry doubles this number, so his number becomes '2a'. Connor triples Barry's number, so his number becomes '6a'. Damion multiplies Connor's number by 6, so his number becomes '36a'. The total of these four numbers must be a perfect square. So the sum 'a + 2a + 6a + 36a' equals a perfect square. That simplifies to '45a', which is equal to a perfect square.

The smallest positive integer when multiplied by 45 and is a perfect square would be when 'a = 1' as 45 itself is not a perfect square. So, the smallest positive integer that Anastasia could have thought of is 1.

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Principal value of Arccos(-1)

Answers

You may have wondered what Euler's Identity means

[tex]e^{i \pi} = -1[/tex]

I hate to break it to you but it just means

[tex]\cos \pi + i \sin \pi = -1 + 0i[/tex]

Equating respective real and imaginary parts,

[tex]\cos \pi = -1, \qquad \sin \pi = 0[/tex]

which you probably already knew.

From the first part,

[tex]\pi = \arccos(-1)[/tex]

That's in the principal value range of cosine.

[tex]\pi = \textrm{Arccos}(-1)[/tex]

Answer: π

Use the distributive property to simplify the expression 15(14a)

Answers

Answer:

[tex]15(14a) = 210a[/tex]

Step-by-step explanation:

We want to simplify the expression 15(14a) using the distributive property.

We rewrite as:

[tex]15(14a) = 15(10a + 4a)[/tex]

According to the distributive property:

[tex]a(b + c) = ab + ac[/tex]

This implies that:

[tex]15(14a) = 15 \times 10a + 15 \times 4a[/tex]

We simplify to obtain:

[tex]15(14a) = 150a + 60a[/tex]

Add on the right to get:

[tex]15(14a) = 210a[/tex]

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