How do I find the Greatest Common Factor of 14m², 27a³, and 45a²?

Answers

Answer 1

Answer:
Exactly the way you do it with numbers:

-- List all the factors of the first one.
-- List all the factors of the second one.
-- List all the factors of the third one.

-- Make a short list, consisting of the factors that appear
on all three lists. Those are the 'common' factors.

-- The greatest item on the short list is the greatest common factor.

14m², 27a³, and 45a² don't have any common factor except ' 1 '.
Since ' 1 ' is their only common factor, it's also their greatest one.

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If m = 2 and n = 3, then m 2 + n 2 is equal to _____.256251013
Solve the system algebraically. Check your work. 4x + 2y = 10 3x + 2y = 6 Make sure there are NO SPACES in your answer. Be sure to include a comma.
10 Type the correct answer in the box. Use numbers instead of words. Use a calculator to help solve the problem. а A community garden consists of 1.75 acres of land. The community garden has 35 equal-sized plots of land for rent. The cost to rent a plot in the garden for a year is $0.06 per square foot. What does it cost to rent one plot of land in the community garden for 1 year?

If two angles are both vertical and supplementary, then the angles are

Answers

we know that

Supplementary angles are those angles whose sum is equal to $180$ degrees and vertical angles are angles that are congruent.

Let

x--------> the first angle

y--------> the second angle

$x=y$ --------> equation $1$

$x+y=180$ --------> equation $2$

Substitute equation $1$ in equation $2$

$x+[x]=180$

$2x=180$

$x=90$

$y=90$

therefore

the answer is

the angles are right angles

ur answer would be RIGHT angle!!!

Hope its right!

How many times does 5 go into 2000000?

Answers

All we have to do is divide 2,000,000 by 5
lets do the math :P
2,000,000 ÷ 5 = 400,000

Answer = 400,000 times

Select the property of equality used to arrive at the conclusion. If x = 3, then x 2 = 3x the multiplication property of equality

the division property of equality

the addition property of equality

the subtraction property of equality

Answers

Answer:

A.The multiplication property of equality

Step-by-step explanation:

We are given that

If x=3 then $x^2=3x$

We have to find that which property of equality used to arrive at the conclusion.

Let p: x=3

q: $x^2=3x$

There is q is conclusion is $x^2=3x$

If we multiply by x on both sides then we get

$x\cdot x=3\cdot x$

$x^2=3x$

Hence, the multiplication property of equality used to arrive at the conclusion.

Answer:A.The multiplication property of equality

I think it would be the Multiplication property of equality

What type of line would you mark the center of a two-way road

Answers

There are 2 types of line that you can mark the center of a two-way road.

1) passing permitted - it is a broken line marking found in the center of the two-way road. It means that passing other cars is permitted.

2) no passing zones and edge line - it is composed of a combination of solid yellow line, single broken-yellow line, double solid yellow line. It means overtaking or passing is never permitted.

Three machines A, B, and C produce respectively 50%, 30%, and 20% of the total number of items of a factory. The percentage of defective output of these machines is 3%, 4%, and 5% respectively. If an item is selected at random, find the probability that the item is non-defective.

Answers

Answer:

the probability that a randomly selected item is non-defective is approximately 96.3%.

Step-by-step explanation:

This involves finding the probability of an item being non-defective for each machine and then combining these probabilities based on the machine's contribution to the total production.

Let's calculate it step by step:

Probability that an item from Machine A is non-defective:

The probability of a defective item from Machine A is 3%, so the probability of a non-defective item from Machine A is 100% - 3% = 97%.

Probability that an item from Machine B is non-defective:

The probability of a defective item from Machine B is 4%, so the probability of a non-defective item from Machine B is 100% - 4% = 96%.

Probability that an item from Machine C is non-defective:

The probability of a defective item from Machine C is 5%, so the probability of a non-defective item from Machine C is 100% - 5% = 95%.

Now, we need to consider the contribution of each machine to the total production:

Machine A produces 50% of the items.

Machine B produces 30% of the items.

Machine C produces 20% of the items.

To find the overall probability that a randomly selected item is non-defective, we'll use a weighted average:

Probability (Non-Defective) = (Probability from A * Fraction from A) + (Probability from B * Fraction from B) + (Probability from C * Fraction from C)

Probability (Non-Defective) = (97% * 50%) + (96% * 30%) + (95% * 20%)

Now, calculate the weighted average:

Probability (Non-Defective) = (0.97 * 0.50) + (0.96 * 0.30) + (0.95 * 0.20)

Probability (Non-Defective) = 0.485 + 0.288 + 0.19

Probability (Non-Defective) = 0.963

So, the probability that a randomly selected item is non-defective is approximately 96.3%.

The probability that an item randomly selected from the production of machines A, B, and C is non-defective is 0.963 or 96.3%.

The question is about calculating the probability of an item being non-defective in a factory production environment. Here is how you can find the solution:

Determine the probability that an item is produced by each machine and it isn't defective.
Machine A: Probability = 0.50 (proportion of total items) x 0.97 (proportion of non-defective items) = 0.485
Machine B: Probability= 0.30 x 0.96 = 0.288
Machine C: Probability = 0.20 x 0.95 = 0.19
Add the probabilities from each machine. This is valid because the events are mutually exclusive; an item can only be produced by one machine. Therefore, the total probability that an item randomly selected is non-defective is: 0.485 + 0.288 + 0.19 = 0.963 or 96.3%.

Learn more about Probability here:

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Can someone help me and explain the equation

Answers

Answer:

Jason would have to work 60 hours.

Step-by-step explanation:

The equation you would use would be 450 + 12.50t = 1200.

1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.

You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!

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