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
Zielflug [23.3K]
3 years ago
8

A sport man runs 96m in 8seconds. Find the rate in metres per seconds

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

12m/s

Step-by-step explanation:

96/8 = 12

You might be interested in
A bunch of 6 bananas costs $3.54. What is the unit rate?
mr_godi [17]
Divide 6 by 3.54
The quotient would be 1.69
Your answer is that the unit rate is $1.69 per banana
7 0
3 years ago
The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.
andrezito [222]

Answer:

Given the equation: 3x^2+10x+c =0

A quadratic equation is in the form: ax^2+bx+c = 0 where a, b ,c are the coefficient and a≠0 then the solution is given by :

x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a} ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}

Simplify:

x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}

Also, it is given that the difference of two roots of the given equation is 4\frac{2}{3} = \frac{14}{3}

i.e,

x_1 -x_2 = \frac{14}{3}

Here,

x_1 = \frac{-10 + \sqrt{100- 12c}}{6} ,     ......[2]

x_2= \frac{-10 - \sqrt{100- 12c}}{6}       .....[3]

then;

\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}

simplify:

\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}

or

\sqrt{100- 12c} = 14

Squaring both sides we get;

100-12c = 196

Subtract 100 from both sides, we get

100-12c -100= 196-100

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve x_1 , x_2

x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}

or

x_1 = \frac{-10 + \sqrt{100- 96}}{6} or

x_1 = \frac{-10 + \sqrt{4}}{6}

Simplify:

x_1 = \frac{-4}{3}

Now, to solve for x_2 ;

x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}

or

x_2 = \frac{-10 - \sqrt{100- 96}}{6} or

x_2 = \frac{-10 - \sqrt{4}}{6}

Simplify:

x_2 = -2

therefore, the solution for the given equation is: -\frac{4}{3} and -2.


3 0
3 years ago
What is the next term in the sequence below?<br> -324,108,-36,12
STALIN [3.7K]

Answer:

-4

Step-by-step explanation:

bc it is

.......................

4 0
3 years ago
Slove for t : /3t - 6/=12​
koban [17]

Answer:

6 or -2

Step-by-step explanation:

|3t - 6| = 12

3t - 6 = 12

3t = 18

t = 6

3t - 6 = -12

3t = -6

t = -2

4 0
1 year ago
Michael lives in the northwest corner of Clark County. Clara
timama [110]

Answer:

About 0.41 hours

Step-by-step explanation:

THe distance between Michael and Clara is 44 km.

We know D = RT,

Where

D is distance

R is rate (speed)

T is time

For Michael, we can write:

D = 47t

For Clara, we can write:

D = 61t

If we let michael's distance be x, Clara's distance would be 44 - x

So, we can say:

x = 47t

and

44 - x = 61t

Putting first equation into 2nd, we get:

44 - 47t = 61t

SOlving:

44 - 47t = 61t

44 = 61t + 47t

44 = 108t

t = 44/108 = 0.41 hours

The commute took 0.41 hours

7 0
3 years ago
Other questions:
  • How to div602÷3 device
    8·1 answer
  • You are given a circle of radius 6. What is the segment area of an arc that is 60 degrees?
    11·2 answers
  • Y= 4x + 3<br> y= -x - 2<br><br> solve the system of linear equation by graphing
    14·1 answer
  • I will give brainliest!!!!
    7·2 answers
  • PLEASE HELP!! I WILL BRAINLIEST
    5·1 answer
  • 3 divided by 6 it hard
    12·2 answers
  • What is the radius of 16\pi
    9·1 answer
  • What is the average rate of change for the sequence shown below? (1 point)
    10·1 answer
  • What is the slope of the line that goes through (2,6) and (4,5)
    5·1 answer
  • Two fractiobs have a common denominator of 8 what could the two fractions be
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!