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3 years ago

PLEASE HELP ASAP!!

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

Step-by-step explanation:

Given: $6x=24$

To find: x

Solution:

A equation is a statement that defines the equality of two expressions or numbers.

$6x=24$

Divides both sides by 6

$\frac{6x}{6}=\frac{24}{6}\\x=4$

Therefore,

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

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If a puppet requires 3/4 yard of material, how many puppets can be made from 9 yards of material?

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3 years ago

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While mining Fred found a large metal bar that contained 24 ounces of nickel. Fred also determined that the bar was 80% nickel.

frutty [35]

Answer:

Not that I'm a chemistry expert but mathematically,The total weight of the bar is directly proportional to the known weight of the bar and the given percentage. I worked it out and found that the the total weight of the bar is 30 ounces. This is how I did it

Step-by-step explanation:

80:24

100:n

80(n)=100×24

A little equation and after it's solve the variable (n) will be equal to 30

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2 years ago

How many solutions does 2/3 (3x - 15) = x - 10 have?

irina1246 [14]

Answer:

2/3 [3x - 15] =x-10

open the brackets first

[2/3 x3x] -[2/3 x15 =x - 15

2x - 10 =x - 10

put the like terms together

2x -x =-10 +10

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Step-by-step explanation:

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2 years 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 $\frac{1}{216000}$ .

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