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Anastasy [175]
2 years ago
11

"The product of a number and -8, decreased by 13 is less than or equal to 27."

Mathematics
1 answer:
irinina [24]2 years ago
3 0

Answer: less than

So you have:

-8n - 13 ≤ 27Now, solve for n:

-8n -13+13 ≤ 27 + 13-8n ≤ 40

Now, to divide both sides by a negative number (-8), you must change the inequality to ≥

-8n/-8 ≥ 40/-8n ≥ -5

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There are 50 runners in a race. How many ways can the runners finish first, second, and third?
Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : P(n,r) = \frac{n!}{(n-r)!} where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ P(n,r) = \frac{n!}{(n-r)!}

⇒ P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}

⇒ P(50,3) = 50(49)(48)

⇒ P(50,3) = 1,17,600

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0
3 years ago
Solve for the variable in 28 = 25x<br> O A. 4<br> B. 100<br> O C.5<br> O D. 20
viktelen [127]
• Use opposite operation to isolate x
28 ➗ 25 = 25x

• Write the value of x
X = 1.12
7 0
3 years ago
A rhino can run 28 miles per hour. What is that speed in feet per second, to the nearest whole number?
Mrrafil [7]

Answer:

A rhino runs at a speed of about 28 miles per hour.

We need to determine the speed in feet per second.

Converting miles to feet:

The miles can be converted to feet by multiplying 5280 with 28 miles per hour.

Thus, we have;

28 x 5280 = 14784028 × 5280 = 147840

Thus, the speed of the rhino in feet per hour is 147840

Converting hours to seconds:

The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)

Thus, we get;

Speed=\frac{147840}{3600}Speed=

3600

147840

Speed = 41.066667Speed=41.066667

Rounding off to the nearest whole number, we get;

Speed = 41

Therefore, the speed of the rhino is 41 feet per second.

6 0
3 years ago
A baseball has a diameter of 6 centimeters. It is filled with a tightly-wound string. How much string does the baseball contain?
marusya05 [52]
Doce metros de cuerda

7 0
3 years ago
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6. Josh has a $250 gift card to Under Armour.
Komok [63]

Answer:

x=10  (22.5x+6.50=250)

Step-by-step explanation:

6 0
3 years ago
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