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Ira Lisetskai [31]
3 years ago
10

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books from this s

helf include at least one paperback?
Mathematics
1 answer:
trapecia [35]3 years ago
8 0

\displaystyle \binom{6}{3}\cdot2+\binom{6}{2}=\dfrac{6!}{3!3!}\cdot2+\dfrac{6!}{2!4!}=\dfrac{4\cdot5\cdot6}{2\cdot3}\cdot2+\dfrac{5\cdot6}{2}=40+15=55

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Jeraldo works for a homeless shelter. He paid $450 for bed frames and needed to buy 32 beds. What's the most he can spend per be
Travka [436]
3500-450= 3050
3050/32 = 95.31 per bed
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3 years ago
What is the surface area of a cube that is 5 cm long?
notka56 [123]
25, 27374747474894992827
7 0
3 years ago
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Luke’s basketball team went to an amusement park at the end of the season. The cost of the admission for 5 coaches and 12 player
Finger [1]

Answer:

The admission cost for each player was <u>22.50</u>.

Step-by-step explanation:

Given:

Luke’s basketball team went to an amusement park at the end of the season.

The cost of the admission for 5 coaches and 12 players was 407.50.

The admission cost for each coach was 27.50.

Now, to find the admission cost for each player.

Total admission cost = 407.50.

Number of coaches = 5.

Admission cost for each = 27.50.

So, the cost of admission of all coaches:

27.50\times 5

=137.50.

Then, we deduct the cost of admission of all coaches from the total admission cost:

407.50-137.50

=270.

<em>Remaining cost = 270.</em>

Number of player = 12.

Now, to get the admission cost for each player we divide the remaining cost  by number of players:

270\div 12

=22.50.

Therefore, the admission cost for each player was 22.50.

7 0
3 years ago
A device in your school Lab releases gas at a rate of, which means 0.25 of a liter of gas is released every second. The density
Snezhnost [94]

Answer:

143.26 sec

Step-by-step explanation:

Density = 4.3 g/l

Volume flow rate = 0.25 l/s

Mass flow rate = density x volume flow rate

= 4.3 x 0.25 = 1.075 g/s

This means 1.075 grams of the gas is released in 1 sec, therefore,

Time taken for leakage of 154 g of gas is

t = 154/1.075 = 143.26 sec

3 0
3 years ago
Read 2 more answers
let f(x)=2x^2+7x-4/x^3-1 what is the domain,range,roots,end behavior and intersect the y-axis of f(X)
victus00 [196]
Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]

<u>Domain</u>
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1

<u>Range
</u>
<u />Resulting f(x) values: all Real Numbers<u>
</u>
<u>Roots
</u>
x = 1/2 & -4

<u>Axis interception points</u>
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)

<u>Asymptotes</u>
Vertical: x = 1
Horizontal: y = 0
3 0
3 years ago
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