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3 years ago

in how many different ways can t e letters of the word "LEADING" be arranged in such a way that vowels always come together?

2 answers:

5 0

The word 'LEADING' has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways. The vowels (EAI) can be arranged among themselves in 3! = 6 ways. <span> Required number of ways = (120 x 6) = 720. The word 'LEADING' can be arranged 720 different ways in such a way that vowels always come together. </span>

soldi70 [24.7K]3 years ago

5 0

We have 3 vowels. The number of ways we can arrange them so they are next to each other is 3!=6. Now we have to find the number of ways we can arrange these 3 vowels with the remaining letters. As the vowels have to come together, we can treat them as one letter. Therefore we have 5 letter altogether. The number of ways we can arrange the vowels with the remaining letters is 5!=120.

6*120=720

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Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.

maksim [4K]

X(4*1) because I’m just doing what I’m told.

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2 years ago

What is the product of 4 x 2/3

Genrish500 [490]

Answer:

Step-by-step explanation:

Remark

A good thing to understand is that when a whole number and a fraction are multiplied, the method is the same as multiplying 2 fractions. What that means is make the whole number into the numerator of a fraction and put a 1 where the denominator should be.

Solution

4/1 * 2/3 = 4*2 / 1 * 3 = 8/3

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2 years ago

How many terms are in the expression <br> 5x^3-8x^2y+4xy-4

bazaltina [42]

Answer:

<h2>4 terms</h2>

Step-by-step explanation:

Term 1: 5x^3

Term 2: 8x^2y

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3 years ago

Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the

Archy [21]

You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.

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3 years ago

Read 2 more answers

A system of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations.

Grace [21]

Answer:

(1,-1)

Step-by-step explanation:

The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.

That is also known as the intersecting points.

The top-right part is known as the 1st Quadrant in a coordinate system.

Top-left is 2nd Quadrant.

Bottom left is 3rd Quadrant.

Bottom right is 4th Quadrant.

The values of x and y (positive or negative) of each quadrant is shown below:

Quadrant 1: x +ve, y +ve
Quadrant 2: x -ve, y +ve
Quadrant 3: x -ve, y -ve
Quadrant 4: x +ve, y -ve

The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.

From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.

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2 years ago