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fomenos
3 years ago
14

PLEASE HEP ME QUICK!!!!: Tom travels between the two mile markers shown and then finds his average speed in miles per hour. Sele

ct the three equations that represent this situation.

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

speed=\frac{195\ miles}{3\ hours}

3\ hours=\frac{195\ miles}{speed}

3\ hours*(speed)=195\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the distance in miles

y ----> the time in hours

speed=\frac{x}{y}

we have

The distance is equal to subtract 35 miles from 230 miles

x=230-35=195\ miles

The time is equal to subtract 1:30 pm from 4:30 pm

y=4:30\ pm-1:30\ pm=3\ hours

substitute in the formula of speed

speed=\frac{195\ miles}{3\ hours}

<em>Isolate 3 hours</em>

3\ hours=\frac{195\ miles}{speed}

<em>Isolate 195 miles</em>

195\ miles=3\ hours*(speed)

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Blizzard [7]

Number of items sold by Shelley = 3 items.

Let us assume cost of each item sold by Shelley = $ x each.

Total cost of 3 items for Shelly sold = 3*x = 3x.

Number of items sold by Billy Bob = 4 items.

The cost of each item sold by Billy Bob = $2.25 less than the items that Shelley bought = $(x-2.25) each.

Total cost of 4 items for Billy Bob sold = 4*(x-2.25) = 4(x-2.25).

Both Shelley and Billy Bob paid the same amount of money. So, we can setup an equation now.

a) Total cost of 4 items for Billy Bob sold=Total cost of 3 items for Shelly sold.

4(x-2.25) = 3x

b) Solving equation for x now.

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4x - 4*2.25 = 3x.

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Adding 9 on both sides, we get

4x -9+9 = 3x+9

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Subtracting 3x from both sides, we get

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4(x-2.25) = 3x  => 4(9-2.25)= 3*9

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We got left side = right side. So the solution x=9 is correct.

d) The cost of each item sold by Billy Bob = 9-2.25 = $6.75

Therefore, the cost of each item sold by Shelley is $9 and cost of each item sold by Billy Bob is $6.75.

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