1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
netineya [11]
2 years ago
12

Of the songs in Brianna's music library, 1/3 are rock songs. Of the rock songs, 7/10 feature a guitar solo. What fraction of the

songs in Brianna's music library are rock songs that feature a guitar solo?
Mathematics
1 answer:
Marat540 [252]2 years ago
6 0

Answer:

7/30 of her music library

Step-by-step explanation:

We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top

and

bottom × bottom

1/3 × 7/10

is 1×7 on top, and

3×10 on the bottom.

= (1×7)/(3×10)

= 7/30

7/30 cannot be simplified, so that is the answer.

You might be interested in
What is 0.1554 divided by 74?
umka2103 [35]

Answer:

0.0021

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Alan drives 20.4 miles in 17 minutes.He passes a sign which gives the speed limit as 60mph.By how much in mph did Alan exceed th
Rzqust [24]
12 miles over the speed limit
7 0
2 years ago
The slope of the line below is-5. Which of the following is the point-slope
AleksandrR [38]
-5- is the correct answer
7 0
3 years ago
Solve for x using figure to the right. Pls answer this it is urgent
goldenfox [79]

Answer:

Therefore the value of x = 10 units

Step-by-step explanation:

Let label the Triangles first,

Δ ABC a right triangle at ∠ A =90°

Δ ADB andΔ ADC a right triangle at ∠ D =90°

Such that

AD = x

BD = 50

CD = 2

∴ BC = BD + DC = 50 + 2 = 52

To Find:

x = ?

Solution:

In right triangle  By Pythagoras Theorem,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

In right triangle Δ ADB andΔ ADC  By Pythagoras Theorem we will have,

AB² =  BD² + AD²

AB² = 50² + x²            ..................equation ( 1 )

and

AC² = DC² + AD²

AC² = 2² + x²             ...................equation ( 2 )

Now in right triangle Δ ABC,

BC² = AB² + AC²

Equating equation  (1 ) and ( 2 ) and the given value we get

52² = 50² + x² + 2² + x²

∴ 2x² = 2704 - 2504

∴ 2x² =200

∴ x^{2} =\frac{200}{2}\\\\\therefore x=\pm\sqrt{100} \\\\ \textrm{x cannot be negative}\\\therefore x= 10\ unit

Therefore the value of x = 10 units

8 0
3 years ago
A boy has 3 red , 2 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a line if: a) Marbles of the
Ilya [14]

Answer:

The total number of different arrangements is 560.

Step-by-step explanation:

A multiset is a collection of objects, just like a set, but can contain an object more than once.

The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.

Permutations of Multisets Theorem.

The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of n objects, where there are k kinds of objects and object kind 1 occurs with multiplicity n_1, object kind 2 occurs with multiplicity n_2, ... , and object kind k occurs with multiplicity n_k is:

                                                 \begin{equation*}\frac{n!}{n_1!*n_2!*\dots * n_k!}\end{equation*}

We know that a boy has 3 red, 2 yellow and 3 green marbles. In this case we have n = 8.

If marbles of the same color are indistinguishable, then the total number of different arrangements is

{8 \choose 3, 2, 3}  = \frac{8 !}{3 ! 2 ! 3 !} = \frac{8\cdot \:7\cdot \:6\cdot \:5\cdot \:4}{2!\cdot \:3!}=\frac{6720}{2!\cdot \:3!}=\frac{6720}{12}=560

8 0
3 years ago
Other questions:
  • Find the slope of a line that passes through the points (5,4) and (-2,-1)
    10·1 answer
  • A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?
    8·1 answer
  • Avril types essays for students from her home. On average, she can type a page in about 10 2/3 minutes. she spends 54 1/2 minute
    14·1 answer
  • Is f(x)=-3 an odd function?
    8·1 answer
  • The equation of a circle is given below. (x − 5) 2 + ( y + 2 ) 2 = 81 4 (x−5) 2 +(y+2) 2 = 4/81 What is its center? Radius?
    5·1 answer
  • Leroy's favorite basketball player is 20 inches taller than he is. If his favorite basketball player is 7 feet tall, how tall is
    10·2 answers
  • What is the value of x in the equation
    8·1 answer
  • How do i delete a question
    10·1 answer
  • The price of heating oil rose from $1.10 per gallon to $1.43 per gallon. What is the percent of
    6·1 answer
  • Don't spam...<br><br>Step by step explaination needed...​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!