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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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Fifty six million eight hundred ninety three thousand
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Christopher is a graphic designer who creates business websites. It takes him 2.4 hours to complete one website page. He finds o
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4 years ago
What is the sum of two consecutive even integers divided by four is 189.5?
mixas84 [53]
Let us denote the smaller even integer by N.
Then, the next even integer must be N+2.

To verify, set N as any even number, say 174.
Then, the next even integer must be 2 more than this number, i.e. 174+2=176.

The sum of these two consecutive even integers can be expressed as:
                                    N+(N+2)=2N+2

We are told that this sum divided by four is 189.5, i.e.
                                     (2N+2)\div4=189.5

Multiplying both sides by 4 will reverse the division:
     (2N+2)\div4\times4=189.5\times4
     (2N+2)\times1=758

Subtracting 2 from each side will reverse the addition:
     2N+2-2=758-2
     2N=756

Dividing both sides by 2 will reverse the multiplication:
     2N\div2=756\div2
     N=378

Therefore, the two consecutive integers must be 378 and 380.

Check this:
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3 0
3 years ago
Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt h
Sophie [7]

Answer:

  • 6 hours

Step-by-step explanation:

<u>We know that:</u>

  • Samantha = 15 + 2x
  • Matt = 3 + 4x
  • Samantha = Matt
  • [x = Number of hours]

<u>Solution:</u>

  • 15 + 2x = 3 + 4x
  • => 15 - 3 = -2x + 4x
  • => 12 = 2x
  • => x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.

7 0
2 years ago
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