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jekas [21]
4 years ago
8

Wanda started walking along a path 2 minutes (120 seconds) before Dave. Wanda walked at a constant rate of 5 feet per second. Da

ve walked along the same path at a constant rate of 10 feet per second. Graph the system of linear equations. What are the equations?
Mathematics
1 answer:
sleet_krkn [62]4 years ago
7 0
<span>Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked along the same path at a constant rate of 4.5 feet per second. How long after Dave starts walking will he catch up with Wanda ?
***
let x=travel time of Dave
x+27=travel time of Wanda
speed*travel time=distance (same for both Wanda and dave)

..
4.5x=3(x+27)
4.5x=3x+81
1.5x=81
x=54
How long after Dave starts walking will he catch up with Wanda ? 54 sec</span>
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Larger number:<br> Smaller number:
3241004551 [841]

Let:

Larger number = x

Smaller number = y

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

x + y = 49

x - y = 21

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

Isolate the x in the first equation. Subtract y from both sides

x + y (-y) = 49 (-y)

x = 49 - y

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

Now that we know what x is, plug in 49 - y (which = x) into x in the other equation.

x - y = 21

(49 - y) -y = 21

Simplify.

49 -2y = 21

Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract 49 from both sides

-2y +49 (-49) = 21 (-49)

-2y = 21 - 49

-2y = -28

Next, divide -2 from both sides to isolate the y

-2y/-2 = -28/-2

y = -28/-2

y = 14

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

Now that we know what y is, plug into one of the equations.

x + y = 49

x + (14) = 49

Isolate the x. Subtract 14 from both sides

x + 14 (-14) = 49 (-14)

x = 49 (-14)

Simplify

x = 35

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

Answer:

Larger number: 35

Smaller number: 14

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

hope this helps

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3 years ago
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