Answer:
The family's average rate of travel for the day was 59.0 MPH.
Step-by-step explanation:
From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.
There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5
So, 6.5 hours and a total distance of 383.5 miles.
Velocity (MPH) = Distance (in miles) / Time (in hours)
MPH means Miles Per Hour
Variables:
Velocity (MPH) = x
Distance (in miles) = 383.5
Time (in hours) = 6.5
Plug in the variables into the formula
x = 383.5 / 6.5
Divide
x = 59.0 MPH
Answer:
for my answer i got 512 but it is not one of the answer choices
Step-by-step explanation:
2x+y = -5. Solve this for y. We get y = -2x - 5. Find y^2: 4x^2 + 20x + 25. Substitute 4x^2 + 20x + 25 for y^2 in the first equation:
x^2 + 4x^2 + 20x + 25 = 25
Then 5x^2 + 20x = 0, so that x = 0. Subst. 0 for x in the 2nd eqn and find the value of y. Write your solutions as shown above: ( , ) and ( , ).
suppose you wanted the tank to hold 100 gallons of water and it was 50 gallons per cubic feet. How many cubic feet would you need? Obviously, 2 cubic feet. How did you get that?? Well, you divided 100 by 50 to get 2.
O.K., now, let's try YOUR problem. 225000 gallons and 7.5 gallons per cubic feet. How many cubic feet do you need? Must be 225,000/7.5 = 30,000 cubic feet
O.K., now we're half way there. we (should) know that the volume of a prism is
l x w x h. We now know the volume must also be 30,000
so l x w x h = 30000
100 x 20 x h = 30000
you should be able to take it from there.
Problem #2
We approach it the exact same way.
It's too hard as stated. Let's make up an easier problem.
suppose 1 gallon took up 5 cubic feet. If you had 10 cubic feet, how many gallons would you have?
well, clearly, you would have 2 gallons. How did you get it?
Now, how many cubic feet in the cylinder? Well you (should) know that the volume of a cylinder is:
Pi r^2h = 3.14 x 25^2 h = 1962.5 h
Now we have a bit of a problem. You didn't tell me how high the tank is. Let us say it is 10 feet.
So, the tank had 19,625 cubic feet.
Go back to the start of this problem and you will know what to do next.
Knowing the GCF and LCM helps me when me add and subtract and multiply fractions by breaking the numbers in to 2 different sections and looking at my table of contents
