The bicyclists were 300 miles apart at 3 p.m. and were headed toward each other. If they met at 9 p.m. and one was traveling 20 miles per hour faster than the other, what was the speed of each bicyclists?

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Answer 1
Answer:

Answer:

one was traveling 35 mph and the other 15 mph

Step-by-step explanation:


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Bea is building a 1:120 scale model of a museum building. Her model has a rectangular base that is 3 feet wide and 2 feet long. What is the area of the base of the actual museum in square feet?

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Area of the base of the model 
3*2 = 6 square feet

Since the actual building 120 times bigger than the model, it should be multiplied with 120
6*120 = 720 square feet

1.25 inched represents 20 miles. long wood and milton are 5 inches apart on the map. what’s the actual distance between long wood and miltown

Answers

Hi!

Let's set up a proportion and cross-multiply.

(1.25)/(5) (20)/(x)

5 x 20 = 100

100/1.25 = 80

The actual distance is 80 miles.

Hope this helps! :)

-Peredhel

Ellen drove 357.9 miles. Her car gets about 21 miles per gallon. Which is the best estimate of how many gallons of gas Ellen used?

Answers

The best thing to do is to divide the amount she has driven (357.9) by the miles (21)
As you're looking for an estimate, you have to round them.
357.9 rounds to 360
21 rounds to 20
Therefore, you've got to divide them
360/20= 18
Therefore, Ellen has driven approximately 18 miles
Hope this helps :)

When looking for an estimate, you have to round your numbers 21 rounded would become 20 and 357.9 would become 360. So next you would divide the numbers.

360 ÷ 20 =  18

So, Ellen would have used approximately 18 gallons of gas.

Hope this helps you. :-) 

Hey guys PLEASE HELP ME SO THIS ONE IS TRICKY AND COMPLEX I APPRECIATE IF SOMEONE REACHES OUT AND HELPS. 2X+Y=-147X-4Y=-19 OK SO FAR I TOOK THE second equation and added 4y to both sides which then resulted in 7x=4y-19 did i do something wrong?

Answers

You can certainly start out that way, but when you solve that equation for x, it's a little more complex than if you started with the other equation.  I usually start with the most simple equation first.  Let's take the first equation and solve for y... that will leave us without any fractions to deal with.

2x + y = -14
y = -14 - 2x

Now we have a y value and we can substitute it back into the other equation.  So we will replace y in the second equation with (-14 - 2x).
That will leave us with just the x as a variable and we can solve for x.

7x - 4y = -19
7x - 4(-14 - 2x) = -19      multiply the -4 through the parentheses
7x + 56 + 8x = -19          combine like terms
15x + 56 = -19                subtract 56 from each side
15x = -75                         divide each side by 15
x = -5

Now we have a value for x that we can substitute back into either of the original equations and then solve for y.  I usually go with the easier equation, but it doesn't matter.  Let's use the first one...

2x + y = -14
2(-5) + y = -14              multiply the 2 through the parentheses
-10 + y = -14                 add 10 to each side
y = -4

So your ordered pair is

(-5, -4)

That is where the 2 lines are equal to one another, so that's the point where they they intersect.

Note***  You can start these problems with either equation and solving for either x or y... it doesn't matter.  After you substitute the values into the other equation it will work out the same.

How u solve this problem
7x-y=6 -7x+y=-6

Answers

\underline{+\left\{\begin{array}{ccc}7x-y=6\n-7x+y=-6\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad\qquad0=0\n\n\text{Infinitely many solutions}\n\n\left\{\begin{array}{ccc}x\in\mathbb{R}\ny=7x-6\end{array}\right

Painter A charges $376 plus $12 per hour and Painter B charges $280 plus $15 per hour. In how many hours will they cost the same?

Answers

20 because 4*5 is 20 so the answer is 20