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
VMariaS [17]
3 years ago
13

Find the unit rate. 6 2/5 revolutions in 2 2/3 seconds

Mathematics
2 answers:
topjm [15]3 years ago
7 0
1) Convert mixed fractions into fractions.

6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 =  8 / 3

2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
   From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
  32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.

 The unit rate is 12 / 5 = 2 2/5 revolutions per second.
<span>
</span>
mr_godi [17]3 years ago
6 0
(6 2/5) / (2 2/3) =
(32/5) / (8/3) =
32/5 * 3/8 =
96/40 = 2.4 revolutions per second
You might be interested in
I NEED HELP PLZ FAST!!! SHOW WORK​<br><br>Side: 4 cm<br>bottom: 7.5 cm
aleksandr82 [10.1K]

<em><u>Answer:</u></em>

Around 4 : 3 because the measurements might not be perfect.

<em><u>Step-by-step explanation:</u></em>

So the ratio of the NEW : ORIGINAL is just one side of the rectangle to the other side of the original one.

We know that the newer rectangle (or the larger one) has 4 cm as its side and that the original one (the smaller one) has 3cm as its side. Then we can create the ratio of NEW : ORIGINAL as: 4 : 3

5 0
3 years ago
An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 55 feet tall and has a base with a circumfere
yulyashka [42]

Answer:

4164.69504π

Step-by-step explanation:

So the volume of a cone is πr^2 * h / 3

r = 15.072 / π

h = 55

15.072 / π squared * π = 227.165184π

227.165184π * 55 / 3 = 4164.69504π

4 0
3 years ago
What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6))
Anastaziya [24]

Answer:

C. z = -20\sqrt{3}-i\,20

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

z = a+i\,b (1)

Where each coefficient can be determined as function of the polar components:

a = r\cdot \cos \theta (2)

b = r\cdot \sin \theta (3)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number, measured in radians.

If we know that r = 40 and \theta = \frac{7\pi}{6}, then the rectangular form of the number is:

a = 40\cdot \cos \frac{7\pi}{6}

a = -20\sqrt{3}

b = 40\cdot \sin \frac{7\pi}{6}

b = -20

The rectangular form of z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right) is z = -20\sqrt{3}-i\,20. The correct answer is C.

4 0
3 years ago
What is the approximate volume of the cone. wit a height of 8 cm and the radius of 12 cm?
Ludmilka [50]
V≈1206.37cm³ Hope this helps you:)
3 0
4 years ago
What's the gradient of y=3x+1
Salsk061 [2.6K]

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

4 0
3 years ago
Other questions:
  • True Or False?
    10·1 answer
  • A: 2x - 3y = 6
    10·1 answer
  • Find two equivalent fractions for 2/12
    10·2 answers
  • What does it mean if your inference is valid
    12·2 answers
  • Given the isosceles trapezoid below, find AG.<br> Show all the work
    13·1 answer
  • Help PLZ Answer Questions Below
    5·2 answers
  • A. write the equation of the line of best fit
    7·2 answers
  • Which expression is equivalent to the given expression? -2.12 + 8r - 9 + 40 + 712 + 2 O A. 512 + 12r - 7 OB.5.12 + 4x + 11 O C.
    9·1 answer
  • The amount of time that a customer waits on hold at a call center can be modeled by a uniform distribution on the interval from
    13·1 answer
  • What’s the preimeter to this?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!