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DedPeter [7]
3 years ago
6

On Monday, Avi walked from his home to the school track and walked 4 laps around the track for a total of 3.5 miles. On Saturday

, Avi ran from his home to the school track, ran 2 laps, and then ran home for a total of 4 miles. Let x represent the distance from Avi’s home to the school track, and let y represent the distance of one lap around the track. Write a system of equations to represent this situation.
Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

3.5 = x + 4*y

4 = 2x + 2*y

Step-by-step explanation:

The total distance ran by Avi is the sum of the distance from his house to the track, and the total distance ran in the tracks (that is, the distance of one lap times the number of laps Avi ran).

If we call 'd' the total distance and 'k' the number of laps, we have the equation:

d = x + k*y

So with the data given, we can have the following system:

3.5 = x + 4*y

4 = 2x + 2*y

In the second equation, we have 2x because Avi ran from his home to the track, and in the end ran back home, so Avi ran the distance x two times.

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Solve x2 - 8x = 20 by completing the square<br> {-22, 14}<br> {-14, 22}<br> {-10.2)<br> -(2.10)
alexgriva [62]
-10,2 is your answer when you simplify it
6 0
3 years ago
Help i made it worth a lot of points
raketka [301]

Answer:

36x^6/y^10

Step-by-step explanation:

First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6

y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r

final answer should be 36x^6/y^10

hope this helps :')

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -
Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

 x +   y =  9

2x - 3y = 8.

Let's solve this system by elimination.  Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y =    8

-------------------

5x = 35, so that x = 7.  Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).


6 0
3 years ago
Lindsay needs a jewelr To repair her earrings jewelry is offering her services for an initial $125 in addition to $15 per hour j
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They charge the same amount in 5 hours.
4 0
3 years ago
Help is really needed!
RideAnS [48]

Answer:

The First table is going by 6 on the top, the bottom is going by 1.5.

<u>  6          12          18          24</u>

1.5          3          4.5           6

The Second table is going by multiplying by 2 on the top, the bottom is doing the same thing(from least to greatest).

<u>112.8          56.4          28.2          14.1 </u>

5,640      2,820         1,140          570

The cost per pound of apples on sale is $1.50.

3÷2= 1.50

You can buy 12 pounds of apples for $18.00.

18.00÷1.5= 12

Since 1 pound=16 ounces, so there are about 3 apples in each pound.

16÷5= 3.2

You can buy approximately 36 apples with $18.00.

12×3= 36

8 0
3 years ago
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