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bagirrra123 [75]
3 years ago
15

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer

1/2 and -4/3

Step-by-step explanation:

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The perimeter of a square is represented by the expression 4(4.3 - 6). Which statement is true?O The perimeter can also be repre
lana66690 [7]

the perimeter is:

4(4x - 6)

Applying distributive property:

4(4x) - 4(6)

16x - 24

Then, the perimeter can also be represented by 16x - 24 because 4(4x - 6) can be simplified to 16x - 24

7 0
1 year ago
A certain three​-cylinder combination lock has 60 numbers on it. To open​ it, you turn to a number on the first​ cylinder, then
statuscvo [17]

Answer:

(a) The number of different lock combinations is 216,000.

(b) The probability of getting the correct combination in the first try is \frac{1}{216000}.

Step-by-step explanation:

The lock has three-cylinder combinations with 60 numbers on each cylinder.

The procedure of the opening lock is to turn to a number on the first​ cylinder, then to a second number on the second​ cylinder, and then to a third number on the third cylinder.

The numbers can be repeated.

(a)

There are three cylinder combinations on the lock, each with 60 numbers.

It is provided that repetitions are allowed.

Then each cylinder can take any of the 60 numbers.

So there are 60 options for the first cylinder.

There are 60 options for the second cylinder.

And there are 60 options for the third cylinder.

So the total number of possible combinations is:

Total number of combinations = 60 × 60 × 60 = 216000.

Thus, the number of different lock combinations is 216,000.

(b)

The events of getting a correct combinations of the three​-cylinder combination lock implies that all the three cylinder are set at the correct numbers.

Each cylinder has 60 numbers.

This implies that there are 60 possible ways to get a correct number for the first cylinder.

The probability of getting the correct number for the first cylinder is:

P (Number on 1st cylinder is correct) = \frac{1}{60}.

Similarly for the second cylinder the probability of getting the correct number is:

P (Number on 2nd cylinder is correct) = \frac{1}{60}.

And similarly for the third cylinder the probability of getting the correct number is:

P (Number on 3rd cylinder is correct) = \frac{1}{60}.

So the probability of getting the correct combination in the first try is:

P (Correct combination in the 1st try) = \frac{1}{60}\times \frac{1}{60}\times \frac{1}{60}=\frac{1}{216000}.

Thus, the probability of getting the correct combination in the first try is \frac{1}{216000}.

7 0
3 years ago
What is the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high?
vekshin1
The volume would be 9meters³

3x1.5x2
8 0
3 years ago
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Amy pays $2.70 for 3 apples and 2 bananas. One apple costs $0.40 more than one banana. Let a represent the price per apples.
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Answer:

Guess and Check Count by 5 Stop 5 10 15 20 25 2.70÷5 5.2 So then divide the .20 cents remaining and 6 cents more about per apple than banana

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3 years ago
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2,3,5,7,13,23,29,61 A prime number is a number that can be divided evenly by one and itself only.
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