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pentagon [3]
3 years ago
11

Robert ran a race that was 2/3 of a mile in length. If he has completed 5/6 of the race, how far has he run in miles?

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

5/9

Step-by-step explanation:

Let's begin by determining the factors of the problem. We know that Robert ran a race that is 2/3 of a mile long. Therefore, we know that 2/3 is a factor in the equation. We also know that, of the 2/3 mile, he ran 5/6 of it. Now the tricky part is deciding how the two fractions are related.

To make this easier, let's substitute a different number for 5/6. We'll say 2.

If he has completed TWICE the length of the race, how would you determine how far he ran?

You would multiply 2/3 by 2! This same principle can be applied to the problem.

To determine the total distance run in miles, we can write it as 2/3 * 5/6

(NOTE that * is known as "times" or "multiplied by")

With this, you multiply the numerators (2 * 5 = 10) and the denominators (3 * 6 = 18) and then make your fraction... 10/18!

But you're not done yet. Always remember to simplify when possible. Both terms are divisible by 2. Therefore, it can be written as 5/9.

Hope this helped!

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In a basketball game Anya makes 14 baskets. Some of these baskets were worth 2-points and others were worth 3-points. In total s
Tems11 [23]

Answer:

She made 12 two point basket.

Step-by-step explanation:

Assuming the number of 2 point basket is x and that of 3 point basket is y.

Based on the question the total numbers of basket is 14, that is x + y = 14 , and the total numbers of points is 30, which helps us with our second equation 2(x) +3(y)=30.

x + y = 14 eqn 1

2(x) +3(y)=30 eqn 2

Using elimination method multiplying eqn 1 by -3 and adding it to equation 2

-3x-3 y = -42 adding to eqn 2 gives

-x= -12

x=12. Which gives the number of the 2 points basket she made .

7 0
3 years ago
mr.ross is building playroom.he is going to tile the flooring using 20cmx20cm tiles. the floor measures 2mx4m in area. how many
Valentin [98]

Answer:

200 tiles

Step-by-step explanation:

area of the floor = 2m×4m

the tile=20cm×20cm

the tiles needed to complete the job will be

2m×4m

——–—–

20cm×20cm

change the meters to centimeters

200cm×400cm

————————

20cm×20cm

therefore the answer is 200tiles.

3 0
2 years ago
Which line represents the direct variation equation y equals 1/2 x
damaskus [11]

Answer:

line c

Step-by-step explanation:

The graph representing a direct variation equation always passes through the origin. This could be graphs (a) or (c)

given y = \frac{1}{2} x

with slope = \frac{1}{2}

Since graph (a) slopes down from left to right it's slope is negative

Hence it is not graph (a) as the slope given in the equation is positive.

Hence the required graph is (c)



6 0
4 years ago
You are a volunteer at a physical therapy clinic. a set of stairs you use to help patients is shown with it's dimensions. What i
vazorg [7]
The volume formula is area of base×height. In this case, we are working with rectangles, so the formula is l×w×h. We have to find the volume of each block and add them together. Top rectangle: 12×30×4=1440. Middle rectangle: 30×36×4=4320. Bottom rectangle: 30×60×4=7200. 7200+4320+1440=12960 inches squared.
8 0
3 years ago
Arabica coffee costs $28 per pound and Robusta coffee
Soloha48 [4]

Given parameters:

Cost per pound of Arabica coffee  = $28 per pound

Cost of Robusta coffee = $8.75

Given number of pounds of Robusta Coffee = 3 pounds

Total cost of blend per pound = $15.50

Unknown:

Number of pounds of Arabica coffee  = ?

Solution:

Let the number of pounds of Arabica coffee  = A;

  We have to interpret this problem algebraically and solve;

  28A + 8.75(3) = 15.5(A + 3)

Now solve the expression above for A;

       28A + 26.25 = 15.5A + 46.5

       28A - 15.5A  = 46.5 - 26.25

          12.5A = 20.25

                 A  = 1.62

Number of pounds of Arabica Coffee is 1.62 pound

3 0
3 years ago
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