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Kruka [31]
3 years ago
6

A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 15

​mph, find the speed of the plane in still air.
Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

<em>161</em><em> </em><em>speed</em><em> </em><em>of</em><em> </em><em>plain</em><em> </em><em>in</em><em> </em><em>still</em><em> </em><em>air</em><em> </em>

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3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

5 0
3 years ago
I HAVE NO CLUE WHAT IS <br>7+9=?<br>I CANT FIND MY CALCULATOR AND RAN OUT OF FINGERS
Alecsey [184]

Answer:

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6 0
3 years ago
It takes 282828 minutes for 777 people to paint 777 walls. How many minutes does it take 141414 people to paint 141414 walls?
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Complete Question

It takes 28minutes for 7 people to paint 7 walls. How many minutes does it take 14 people to paint 14 walls?

Answer:

28 minutes

Step-by-step explanation:

It takes 28minutes for 7 people to paint 7 walls.

Hence, the today number of minutes for 1 person to paint the wall =>

7 people = 28 minutes

1 person = 28 minutes × 7 people =

198 people minutes = 7 walls

1 wall = 198 /7

1 wall = 28 people minutes

How many minutes does it take 14 people to paint 14 walls?

From the above calculation,

1 wall = 28 people minutes

14 walls =

= 14 walls × 28 people minutes/14 People

= 28 minutes

Therefore, it would take 28 minutes for 14 people to paint 14 walls.

6 0
2 years ago
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