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Vera_Pavlovna [14]
3 years ago
9

X-1/(x+1)(x-5) when x equals 3

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0

Step-by-step explanation:

the answer is in the above image

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Find the greatest number of students to whom 45 soccer balls and 60 tennis balls can be equally divided.
xeze [42]

Answer:

  • 15 students

Step-by-step explanation:

<u>Find GCF of 45 and 60:</u>

  • 45 = 3*3*5
  • 60 = 2*2*3*5

GCF(45,60) = 3*5 = 15

4 0
2 years ago
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Please help <br> thank you
LiRa [457]

Answer:

yes

Step-by-step explanation:

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2 years ago
In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times, then what is a reasonable pre
Mamont248 [21]
On a cube, you have 6 faces, therefore you have 1 chance to get 6 and 5 chances not to get 6.

Therefore, the overall probability not to get 6 is 5/6 = 0.8333

If you roll the cube 18 times, the prediction of unsuccessful rolls will be:
18 × 0.8333 = 15

Therefore, you expect to have 15 unsuccessful rolls over 18 total rolls.
7 0
3 years ago
A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro
USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}

After putting the given value, we get

cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}

x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20

  ∴ x = 247.12 m  

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}

After putting the given value, we get

cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}

∴ α = 148.759°

Hence, the  direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0
3 years ago
A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil. What would be a reasonabl
grigory [225]
Answer) $23
Explanation)
10 x 2.29 = 18.9
1.89 + 1.89 = 3.78
18.9 + 3.78 = 22.68
3 0
2 years ago
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