MATHEMATICS MIDDLE SCHOOL

your model train has one engine and eight train cars. find the total number of ways you can arrange the train. (the engine must be first.

Answers

Answer 1
Answer:

Answer:

40,320

Step-by-step explanation:

We are given that there are 8 train cars and 1 engine.

We will fix the first place for the engine.

So, we are left with 8 options for the next place.

Now, if we fix the second place for any one of the train cars.

We will be left with 7 options for the next place.

Going on this way until there is no place left for the train cars, we get the relation,

Total number of ways to arrange the train = 1 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

i.e. Total number of ways to arrange the train = 1 × 8! = 8! = 40,320

Hence, the total number of ways to arrange the train is 40,320.
Answer 2
Answer: This is called a permutation. You would solve this in the following way: 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. This could also be written as 8!. The answer would be 40,320. Hope this helps.

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Simplify 4/16 to lowest terms and find and equivalent fraction that has a denominator of 32
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Write an expression for the sequence of operations described below.double h, then divide g by the result Do not simplify any part of the expression.
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Wesley and Mia deposit $800.00 into a savings account which earns 15% interest compounded annually. They want to use the money in the account to go on a trip in 2 years. How much will they be able to spend?where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.

Answers

Answer:

1,058

Step-by-step explanation:

Interest= 800(.15)= 120 1 yr interest

A= 800 + 120= 920 on the 1st year

920 (.15)= 138 int. on the 2nd year

Therefore, 920+ 138= 1,058 final amount after 2 yrs.

What is the median of the following data values?
11,12,15,16,17, 22, 24, 29, 33, 38

Answers

Final answer:

The median of the data set 11, 12, 15, 16, 17, 22, 24, 29, 33, 38 is 19.5.

Explanation:

The median of a data set is the middle value when the data is arranged in ascending order. In your data set: 11, 12, 15, 16, 17, 22, 24, 29, 33, 38, the values are already arranged in ascending order.

Since we have even number of values (10), we need to take the mean (average) of the middle two values.

The middle two values are 17 and 22.

To obtain the median, add the two middle numbers and divide by 2.

Median = (17 + 22)/2

Median = 19.5

Learn more about Median here:

brainly.com/question/32773662

#SPJ3

Answer: 19.5

Step-by-step explanation:

Suppose Monica Walks 1 kilometer every 15 minutes. How many meters further can she walk in 1 hour at this new rate? EXPLAIN how you found your answer

Answers

Well every 15 minutes he walks 1 step. So divide an hour which is 60minutes by 15 minutes. Then the answer to that you multiply by 1. So the equation would be (60/15)x1= and you will find the answer.

a gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs, 61 yellow gumballs, and 30 pink gumballs. what percentage of the gumballs are red?

Answers

24 percent are red of the gumballs

The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 173 units2 253 units2 277 units2 325 units2 A rectangle with a length of 25 and a height of 5. Two triangles and a rectangle are atop the first rectangle. The triangles have sides touching the first rectangle with measurements of 6 and sides touching the second rectangle with measurements of 8.

Answers

Here, Area of a Triangle = 1/2 * b * h
A = 1/2 * 6 * 8
A = 1/2 * 48
A = 24

Area of two traingles = 2(24) = 48

Now, Area of a rectangle = 25 * 5 = 125

Now, Total area of the figure = 125 + 48 = 173 units2

In short, Your Answer would be Option A

Hope this helps!

Answer:

277 units2 is correct

Step-by-step explanation:

I got this from reviewing my answers at the end of the test and got this as the answer and it was marked correct

The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?

Answers

Answer:

The area of flour tortilla is:

113.04 square inches.

Step-by-step explanation:

The flour tortilla is in the shape of a circle.

Hence we need to find the area of as circle whose diameter is 12 inches.

As we know that the diameter and radius are related as:

Diameter=2×Radius.

This implies,

12=2×Radius

⇒  Radius=6 inches.

The area of circle is given as:

Area=π×(Radius)²

      =3.14×6²

     =113.04 square inches.

Hence, the area of flour tortilla is:

113.04 square inches.

Answer:

113.04

Step-by-step explanation:
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