MATHEMATICS MIDDLE SCHOOL

Write the set {14,21,28,35,42,98} in the set-builder form

Answers

Answer 1
Answer: To solve this problem you must apply the proccedure shown below: 
 1. You have the following set {14,21,28,35,42...98}.
 2. As you can see, the numbers are multiples of 7 and they are greater than 7 and less than 100. 
 3. Therefore, you can write the set, which we will call Z, in the set-builder form as following: 
 Z={x:x ∈ N, x is multiple of 7 greater than 7 and less than 100}
 The answer is: Z={x:x ∈ N, x is multiple of 7 greater than 7 and less than 100}
Answer 2
Answer:

Final answer:

The set {14, 21, 28, 35, 42, 98} can be written in the set-builder form as {x | x is a multiple of 7, 14 ≤ x ≤ 98} signifying all multiples of 7 between 14 and 98.

Explanation:

The given set is {14, 21, 28, 35, 42, 98}. To write this set in set-builder notation, we need to find a common property that all the elements of the set share. An initial examination of the set shows that all numbers are multiples of 7. Hence, we can say that the set represents all multiples of 7. Here, we can see that 98 is the maximum number in the set. Thus, this allows us to put an upper boundary on the set.

Therefore, the given set can be written in set-builder form as: {x | x is a multiple of 7, 14 ≤ x ≤ 98}. This reads as 'the set of all x such that x is a multiple of 7 and x is between 14 and 98, inclusive'.

Learn more about Set-Builder Notation here:

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What operation can you use to solve the equation? Explain. x + 8 = 4 A. Addition; addition is the opposite of subtraction. B. Subtraction; subtraction is the opposite of addition. C. Addition; the equation has a plus sign. D. Division; division gets the variable alone on the left side.

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B. Subtraction; subtraction is the opposite of addition (to cancel out the 8)

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The answer is B because there are 8 sections and only 3 are blue so the chances are 3/8
b is the correct answer

What does 2/3 x 2 equal! Someone please help as soon as possible!

Answers

The first step we have to do is: 2/3 × 2. If it is multiplying a whole number to a fraction, multiply the whole number by the numerator. In this case, the numerator is 2, so we can do: 2 × 2 to get 4.

From multiplying, our new fraction would look like: 4/3. You can keep it as an improper fraction or you can turn it into a mixed fraction. To do so, divide the numerator by the denominator (4 ÷ 3) to get the answer of 1.3333, Keep the original denominator, write the remainder as the numerator, and whatever whole number you get, goes in front of the fraction. Since 4 ÷ 3 = 1 with a remainder of 1, we can keep the denominator, and switch out the numerator with 1, and also the whole number. 

The answer as an improper fraction: 4/3
The answer as a mixed fraction: 1 1/3
The answer as a decimal: 1.3333

A triangular pyramid has a base that is 31 feet and a height that is three times its base. What is the volume of the triangular pyramid?

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Answer:

2,883

Step-by-step explanation:

Well the base of the triangle is

According to the pedometer i move 27 5/8 inches when i walk How many feet i will travel in 96 steps?

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I am assuming that is how far you move per step? So, what I did was first multiply 27 5/8 by your 96 steps ( I also converted 5/8 into a decimal so it would be easier so it's 27.625) 27.625*96= 2,652. I divided that by 12 so I could turn that into feet instead of inches; 221 feet. 

Which number is between 0.6 and 7/9

A 23/27
B 31/45
C 14/27
D 1/3

Answers

The best way to find the answer is to convert the fractions to decimals using a calculator.
(7/9) is (0.7777). This means that we are looking for a number between 0.6 and 0.7777.
A. (23/27) is .8519. This is not the answer.
B. (31/45) is .6889. This falls in between 0.6 and 0.777 because 0.6 is less than 0.6889 and 0.7777 is greater than 0.6889.

There is no reason to look at C and D because we know that B is the answer.
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