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Vlada [557]
3 years ago
13

Which point is a solution to this graphed system of inequalities?

Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

The solution has to be in the shaded area in order to be a solution. Only D. is in the shaded region, so that is your correct answer.

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So first write an inequality
360 + 90m > 810
-360             -360
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Read 2 more answers
A van travelled at an average speed of 65km/hr from town A. A 35 minutes later a car started from town A ans drove along the sam
kobusy [5.1K]

Answer:

91.6 km/h

Step-by-step explanation:

Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.

Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.

Since the car catches up with the van after it had moved a distance of 130 km,  d = d' = 130 km.

So d = v(t + 0.583)

Substituting d = 130 km and v = 65 km/h, we have

130 km = 65 km/h(t + 0.583)

130 km = (65t + 37.895 )km

subtracting 37.895 from both sides, we have

130 km - 37.895 km = 65t

92.105 = 65t

dividing both sides by 65, we have

t = 92.105/65

= 1.417 h

≅ 1.42 h

Since d = d' = v't,

v' = d'/t

= 130 km/1.42 h

= 91.55 km/h

≅ 91.6 km/h

So, the average speed of the car is 91.6 km/h

5 0
3 years ago
HELP Find the number of non-degenerate triangles whose vertices are three of the points on this six-point star.
andreyandreev [35.5K]

Answer:

20

Step-by-step explanation:

The number of combinations of 6 points taken 3 at a time is ...

6!/(3!·(6-3)!) = 6·5·4/(3·2·1) = 5·4 = 20

___

If you number the points 1–6, the points of the 20 triangles will be ...

123 124 125 126 134

135 136 145 146 156

234 235 236 245 246

256 345 346 356 456

7 0
4 years ago
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