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
-Dominant- [34]
3 years ago
5

Divide 32 in the ratio 3:1

Mathematics
1 answer:
Igoryamba3 years ago
3 0
------------------------------------------------
Ratio
------------------------------------------------
3 : 1

------------------------------------------------
Find total parts
------------------------------------------------
3 + 1 = 4

------------------------------------------------
Split the 32 according to the parts
------------------------------------------------
4  parts = 32
1 part = 32 ÷ 4
1 part = 8
 3 part = 8 x 3 = 24

------------------------------------------------
Split the 32 into the ratio
------------------------------------------------
24 : 8

------------------------------------------------
Answer: 24 : 8 
------------------------------------------------
You might be interested in
The real numbers $x$ and $y$ are such that \begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{
tamaranim1 [39]

You get everything you need from factoring the last expression:

x^4-y^4=-176\sqrt7

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

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

Plug in everything you know and solve for x-y:

-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}

4 0
3 years ago
Read 2 more answers
Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
adoni [48]

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

7 0
2 years ago
Find the value of x in the triangle shown below.<br> =<br> २०<br> 14<br> 14<br> 50°<br> 18
Alexandra [31]

Answer:

x = 87

Step-by-step explanation:

37 + 56 = 93

triangles always equal to 180

180 - 93 = 87

5 0
2 years ago
Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g
Ilia_Sergeevich [38]

a. The \vec k component tells you the particle's height:

3t=16\implies t=\dfrac{16}3

b. The particle's velocity is obtained by differentiating its position function:

\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k

so that its velocity at time t=\frac{16}3 is

\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k

c. The tangent to \vec r(t) at t=\frac{16}3 is

\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t

4 0
3 years ago
Mervin had some cartons of milk he sold 2/5 of the cartons of milk in the morning he then sold 2/4 of the remainder in the morni
agasfer [191]
4/5 mervin had at first


3 0
2 years ago
Other questions:
  • How many ways are there to choose a committee of 3 people from a group of 5 people? A. 10 B. 12 C. 60 D. 70
    11·1 answer
  • What is the equivalent of pi over 6 radians in degrees?
    8·1 answer
  • A phone company needs to know how tall a cell tower is, so it decides to use a 2 m pole and shadows cast by the sun, as shown in
    9·2 answers
  • B) By selling
    6·1 answer
  • florin(x) contains the point (0,1), so the inverse of florin(x) must contain the point , which is not on the line g(x). The func
    9·1 answer
  • Need help plz ASAP!!!
    11·1 answer
  • When 2 probabilities are Mutually Exclusive, they do not have any outcomes in common.
    9·1 answer
  • Harrison pays $22.36 each month for his phone bill.
    7·1 answer
  • You work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the
    5·1 answer
  • What is the mean absolute deviation for this set 65 95 85 70 70 95 55
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!