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
Anastaziya [24]
3 years ago
6

Express the distance traveled as a function of the number of hours at the average speed. The morris family is traveling from pro

vidence to Fredericksburg. Given city traffic they will average 45 mph
Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer:

Dist = 45 m/h * x h

Step-by-step explanation:

We know a speed is a measure of distance over time:  speed = dist / time

In this case, we are looking for a distance expressed in terms of time.

So, we only need to modify the formula a bit: dist = speed * time

We don't know the time (which will be a variable), but we know their speed.  So, the formula becomes:

Dist = 45 m/h * x h

Enter the number of hours in the formula and that will give you an approximation of the distance traveled within that time (approximation since our result will be rely on an average).

You might be interested in
The price p (in dollars) that a camera manufacturer is able to charge for a camera is given by p = 100 - 10x² where x is the num
Alla [95]

Answer:

10x^3-70x+60=0

x=1, x=2.

Step-by-step explanation:

x is the number (in millions) of cameras produced

The price is  p=100 - 10x²

Profit= 60 (in millions)

It costs 30 to make a camera.

So we have:

Profit=x(price-cost)

60=x( [100-10x²] - 30)

60=100x-10x^3 -30x

60=70x-10x^3

10x^3-70x+60=0

⇒x^3 -7x+6=0 is the equation we were looking for.

Solving:

The independent term of the equation is 6.

the divisors of 6 are {1,-1, 2,-2, 3,-3, 6,-6}

Substituting each divisor in the equation we have:

x=1

(1)^3 -7(1)+6=0

1-7+6=0

0=0

⇒x=1 is a solution.

x=-1

(-1)^3 -7(-1)+6=0

-1+7+6=0

12=0 this is not true

⇒x=1 is not a solution.

x=2

(2)^3 -7(2)+6=0

8-14+6=0

0=0

⇒x=2 is a solution.

x=-2

(-2)^3 -7(-2)+6=0

-8+14+6=0

12=0 this is not true

⇒x=-2 is not a solution.

x=3

(3)^3 -7(3)+6=0

27-21+6=0

12=0 this is not true

⇒x=2 is not a solution.

x=-3

(-3)^3 -7(-3)+6=0

-27+21+6=0

0=0

⇒x=-3 is a solution.

x=6

(6)^3 -7(6)+6=0

216-42+6=0 this is not true

⇒x=6 is not a solution.

x=-6

(-6)^3 -7(-6)+6=0

-216+42+6=0 this is not true

⇒x=-6 is not a solution.

The solutions of the equation are x=-3,x=1,x=2.

However, it is not possible to produce -3 millions of cameras.

So the only possible solutions are x=1 and x=2.

4 0
3 years ago
Read 2 more answers
if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?
suter [353]

Answer:

936 quarts

Step-by-step explanation:

n=24*39=936quarts

5 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
Lerok [7]

Answer:

1 + 2x = f(x) i believe

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help me find the measures
Ronch [10]
Angle B=118 degrees
angle D=118 degrees
angles C=62 degrees
angle A=62 degrees
angle G=118 degrees
angle K=62 degrees
angle P=62 degrees
angle L=62 degrees
angle N=118 degrees
angle M=118 degrees
angle W=62 degrees
angle I=118 degrees
angle F=62 degrees
angle J=62 degrees
angle E=49 degrees
angle H=118 degrees
angle R=53 degrees
angle U=71 degrees
angle T=109 degrees
angle V=109 degrees
angle S=35.5
angle Q=35.5
7 0
4 years ago
Plz help i need help on this i do not get it
Andrej [43]
Area of circle 1 = πr² 
Area of circle 1 = π (10)²
Area of circle 1 = 100π km²

Area of circle 2 = πr²
Area of circle 2 = π (5)²
Area of circle 2 = 25π km²

Number of times the bigger circle is greater than the smaller circle 
\dfrac{100 \pi }{25 \pi } = 4

------------------------------------------------------------------------------------
Answer: The big circle is 4 times greater than the small circle.
------------------------------------------------------------------------------------




6 0
3 years ago
Read 2 more answers
Other questions:
  • A dealer paid $10000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction pric
    7·1 answer
  • A​ student's course grade is based on one midterm that counts as 15​% of his final​ grade, one class project that counts as 25​%
    11·2 answers
  • What's the algebraic expression of "The greatest possible value of 3y is 30"
    10·2 answers
  • HELP! What is VT?<br><br><br> Geometry (10 pts)
    10·1 answer
  • Which of the following is not a type of propaganda?
    5·1 answer
  • There are 24 students in a class. Only -- of the students remembered to bring their hat and mittens to class.
    15·2 answers
  • Help me plz !! need it plz
    6·1 answer
  • Evaluate -2(|2|-(-3)(-4))
    13·1 answer
  • What number must be subtracted from 25 for the
    6·1 answer
  • What is the line of reflection in the figure below? reflection over y axis a. y = x b. x-axis c. y-axis d. origin
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!