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iren [92.7K]
3 years ago
6

Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p.m. traveling at an average rate of 5

5 miles per hour. The other car leaves at 4:00 p.m. traveling at an average rate of 75 miles per hour. Let x represent the number of hours after the first car leaves. How many hours after the first car leaves will the two cars be 380 miles apart?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
Let the first car travel east (to the right) and the second car west (to the left).  Call the distances traveled e and w respectively.  

The first car starts out an hour before the second car (that is, at hour 0), traveling at 55 mph.  During the first hour, this car travels 55 miles east.  A general equation for the distance traveled from the starting point as a function of x (time) is e=(55 mph)(1 hour) + (55mph)x

The other car starts out at time = 1 hour, at 75 mph.  A general equation for the distance traveled from the same starting point as a function of x is then w = (75 mph)x.

We want to know when the total distance traveled in opposite directions by the two cars is e + w = (55 miles) + (55 mph)x + (75 mph)x = 380 mi

Solve for x.  55 miles + (55+75)(mph)x = 380 miles
                                      (130 mph)x =     325 miles
                                    Divide both sides by (130 mph):

(130 mph) x              325 miles
------------------  =  -------------------- = 2.5 hours (answer)
 (130 mph)              13 mph
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7 0
3 years ago
Can someone please help me with this college math 1/4 of x is 6 =
erastovalidia [21]

1/4 of x is 6 ⇒ 1/4 x = 6

1/4 x = 6

<u>Multiply 4 on both sides:</u>

x = 24

Answer : x = 24

3 0
3 years ago
F(x) = x + 6 , find the ordered pair when x = -2.
Bogdan [553]
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5 0
2 years ago
Read 2 more answers
3.
kozerog [31]

9514 1404 393

Answer:

  13 units

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((5 -0)² +(8 -(-4))²) = √(25 +144) = √169

  d = 13

The length of AC is 13 units.

8 0
2 years ago
CAN YOU please help me ​
Tasya [4]

Answer:

x=12

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(x+42)+3x=90

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4x=48

x=48/4

x=12

8 0
3 years ago
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