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motikmotik
2 years ago
5

Your school committee is planning an after school trip by 193 people to a competition at another school. There are 8 drivers ava

ilable and two types of vehicles, school buses and mini vans. The school buses seat 51 people each and the mini vans seat 8 people each.
How many buses and mini vans will be needed? Set up a system of equations to solve.
Mathematics
1 answer:
Lorico [155]2 years ago
3 0
B = no. of buses
v = no. of vans

b + v less than or equal to 8  ( there are only 8 drivers, but don't have to use them all)

51b + 8v greater than or equal to 193 (the number of seats must be at least 193 but there can be spares)

So these are the inequalities to solve. I did start doing a linear programming graph but the second inequality is horrible so I hope you don't need to actually solve them.
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A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air​ resistance, its heig
Over [174]

Answer:

After 3 seconds while going up and 6 seconds while coming down

Step-by-step explanation:

Since projectile is launched from ground level with an initial velocity of v 0 feet per second, initial height =0

Height is given by

h(t) = -16t^2+144t where v0 = initial velocity = 144

a) When h =288 ft.

288 = -16t^2+144t\\t^2-9t+18 =0\\t=6 or 3

At t= 3 or 6 seconds the projectile would be at height 288 ft.

So while going up after 3 seconds it wouldbe at a height of 288 ft and while coming after 6 seconds.

4 0
2 years ago
A building may fail by excessive settlement of the foundation or by collapse of the superstructure. Over the life of the buildin
patriot [66]

Answer:

0.1536

Step-by-step explanation:

The computation of probability that the building failure will occur over its life is shown below:-

P(building failure) is

P(ES \cup C)\\\\ = P(ES) + P(C) - P(ES\cap C)\\\\ = P(ES) + P(C) - P(ES) P (C | ES)\\\\ = 0.12 + 0.06 - 0.12 \times 0.22

now we will solve the above equation

= 0.18 - 0.0264

After solving the above equation we will get

= 0.1536

Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.    

3 0
2 years ago
Drag an answer to each box to complete this paragraph proof.
sveticcg [70]

1.) m∠P+m∠Q+m∠R=180

2.) x=10


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