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4 years ago

Miss bonika drives 450 miles on her vacation. If she drives for 9 hours, how many miles does she average per hour ?

Mathematics

1 answer:

fgiga [73]4 years ago

7 0

Answer:

50 miles per hour

Step-by-step explanation:

to find the speed you do the distance divided by the time and that makes the equation

450/9 which gives you the answer of 50 mph

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A drawer contains unmatched socks. There are 7 black, 4 blue, and 5 white. What is the probability that you will select a white

kotykmax [81]

Answer:

Step-by-step explanation:

8.3

6 0

3 years ago

Two men ask you to guess their ages based on the following clues:

Stells [14]

Lets make x equal the the age of the younger man and y equal the age of the older man.
You are given x+y=76 and you can make the equation 2x+16=y since we are told that the older one is 16 more than twice the age of the younger one. Since we have 2 equations and with the same variable and one has y already written in terms of x (y=2x+16) i will use substitution and make the given equaton all in terms of x.
x+(2x+16)=76 (solve this for x)
3x+16=76
3x=60
x=20
Then you can solve for y using the equation the equaion x+y=76 since we now know x=20.
20+y=76
y=56

Second equation is y=2x+16 (can also be written as y-2x=16)
x=20
y=56

I hope this helps. If anything is unclear or you just want further explanation please let me know in the comments.

6 0

3 years ago

What's 24 -3 (7-5) to the power of two over (+8) (-6) ÷ (+12)?

Marysya12 [62]

Answer:

45%

Step-by-step explanation:

45%

4 0

3 years ago

A police cruiser is traveling at 20.0 m/s when the officer spies a speeder. The cruiser accelerates at 3.0 m/s^2 for 5.0 seconds

Tema [17]

For the first 5.0 seconds, the cruiser covers a distance of

$\left(20.0\dfrac{\rm m}{\rm s}\right)(5.0\,\mathrm s)+\dfrac12\left(3.0\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s)^2=137.5\,\mathrm m$

At this point, the cruiser will have achieved a velocity of

$\left(20.0\dfrac{\rm m}{\rm s}\right)+\left(3.0\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s)=35\dfrac{\rm m}{\rm s}$

The cruiser will take

$\left(35\dfrac{\rm m}{\rm s}\right)-\left(5.0\dfrac{\rm m}{\mathrm s^2}\right)t=0\implies t=7.0\,\mathrm s$

to come to a stop as it decelerates. It will have covered a total distance of

$(137.5\,\mathrm m)+\left(35\dfrac{\rm m}{\rm s}\right)(7.0\,\mathrm s)+\dfrac12\left(-5.0\dfrac{\rm m}{\mathrm s^2}\right)(7.0\,\mathrm s)^2=\boxed{260\,\mathrm m}$

8 0

3 years ago

Find the rational roots f(x) =3x3+ 2x2 + 3x + 6

Ann [662]

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

<h3>How to determine the rational root of the function f(x)?</h3>

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 3

b = 6

The factors of 3 and 6 are

a = 1 and 3

b = 1, 2, 3 and 6

So, we have:

Rational roots = ±(1, 2, 3, 6)/(1, 3)

Split the expression

Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3

Evaluate the quotient

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)

Remove the repetition

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)

Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)