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Vanyuwa [196]
3 years ago
13

Step by step plz on how to do this

Mathematics
2 answers:
maria [59]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

Step 1: you have to replace y with x-6 to make it all one equation (as seen in the picture below)  

Step 2: write it all together so: x-6= -2x+3

Step 3: add 2x on both sides to cancel out the negative so: x+ 2x and -2x+2x

Step 4: add 6 on both sides to cancel out the negative so: -6+ 6 and 3+6

Step 5: divide 3 by 3x and 9 to get x

Zinaida [17]3 years ago
3 0
X = 3 had to put this for points
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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed
Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

s = \frac{d}{t}

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that s = 77.8

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for  the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

d = 89.5t1 + 0 = 89.5t1

The total time is the time traveling t and the stoppage time 0.37. So

t = t1 + 0.37

We want to find t1, which is the time that the person was driving.

So

s = \frac{d}{t}

77.8 = \frac{89.5t1}{t1 + 0.37}

77.8t1 + 77.8*0.37 = 89.5t1

11.7t1 = 28.786

t1 = \frac{28.786}{11.7}

t1 = 2.46

The total time is

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The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

s = \frac{d}{t}

77.8 = \frac{d}{2.83}

d = 77.8*2.83 = 220.17

The person travels 220.17 kilometers.

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