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lara [203]
3 years ago
15

Wildlife protection groups build houses to help save bats. One bat house holds about 300 bats. Larry says that 12 bat houses can

hold about 4,500 bats. Do you agree
Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

Answer: No, because 12 bat houses can hold about 3,600 bats.

Step-by-step explanation:

Let be "x" the number of bats that 12 bat houses can hold.

According to the information provided in the exercise, we know that one bat house can hold 300 bats.

Therefore, in order to calculate about how many bats can hold 12 bat houses, we can set up the following proportion:

\frac{300}{1}=\frac{x}{12}

Finally, we must solve for "x" to find is value:

(12)(300)=x\\\\x=3,600

Therefore, we can conclude that 12 bat houses can hold about 3,600 bats and not 4,500 bats.

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DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be pl
Dominik [7]

Answer:

Different playlists possible = 18287141644800

Step-by-step explanation:

Given - DJ Titus is making a playlist for a radio show; he is trying to

            decide what 10 songs to play and in what order they should be

            played.

            Step 1 of 2 : If he has his choices narrowed down to 7 blues,

                                 7 disco, 5 pop, and 7 reggae songs.

To find - He wants to play no more than 4 reggae songs.

              How many different playlists are possible ?

Proof -

Given that he wants to play no more that 4 reggae songs.

So the possibility of choice of reggae song is 0, 1, 2, 3, 4

Now,

Case I -

If 0 reggae song is selected

⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378

Case II -

If 1 reggae song is selected

⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646

Case III -

If 2 reggae song is selected

⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222

Case IV -

If 3 reggae song is selected

⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580

Case V -

If 4 reggae song is selected

⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620

So,

Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620

                               = 5,039,446

⇒Total possible ways = 5,039,446

Now,

Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )

∴ we get

Different playlists possible = 10! × 5,039,446

                                          = 18287141644800

⇒Different playlists possible = 18287141644800

6 0
3 years ago
A screwdriver set has a selling price per unit of $27.95. It also has fixed costs of $837,500, variable costs per unit of $3.25
Sergio [31]
A) $1,016,250 is the right answer

3 0
3 years ago
Read 2 more answers
Please help me out with this question thank you ❤️
devlian [24]

Answer:

log

2

8

=

3

→

8

=

2

3

Step-by-step explanation:

7 0
3 years ago
What angles are congruent to angle 4
NemiM [27]

Answer:

  1, 5, 8

Step-by-step explanation:

1 is a vertical angle with angle 4, so is congruent.

5 is an alternate interior angle with angle 4, so is congruent.

8 is a corresponding angle with angle 4, so is congruent.

7 0
3 years ago
A plane traveled 360 miles each way to Athens and back. The trip there was with the wind. It took 3 hours. The trip back was int
defon

Answer:

S=32.5

W=97.5

Step-by-step explanation:

S=speed of plane in still air

W=speed of wind

-----------------------------------------

3(S+W)=130

6(S-W)=130

-----------------------------------------

S+W=43.33333...

S-W=21.66666...

2S=64.999...

S=32.5(simplified)

-----------------------------------------

32.5+W=130

W=97.5

-----------------------------------------

5 0
3 years ago
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