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gizmo_the_mogwai [7]
3 years ago
11

How many elements are in the set​ {x | x is an even prime​ number, x<150}​?

Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

The set {x | x is an even prime number, x<150} has 1 element.

Step-by-step explanation:

Prime Numbers: The numbers which have no factors other than 1 and the number itself are called prime numbers.  

Even Numbers are those numbers which are completely divisible by 2.

So, the only EVEN PRIME NUMBER = 2

Now, Set = {x | x is an even prime number, x<150}

So, the set has {2} as its only element.

Hence, the total elements in the set is 1.

Or, the set {x | x is an even prime number, x<150} has 1 element.

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Solve the following equation:<br> 9n² - n - 2/3 = 0
KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - \frac{2}{9}

3 0
3 years ago
How do you do inequalities
fgiga [73]
So some quick tips for inequalities:
**What you do to one side you HAVE TO do it to the other 2**
**If you ever divide a negative number past the inequality signs, the signs FLIP!!**
(e.g. 2>-5x>25)
-2/5 <x < -5

I hope that this has helped!
8 0
2 years ago
Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
2 years ago
Please help me!!! I will give brainliest to the person who explains their answer the best!!
Basile [38]

Answer:

I think elimination with subtraction would be the best answer choice, since all the numbers are positive.

5 0
2 years ago
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Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
Katarina [22]

Answer: A

Step-by-step explanation:

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3 years ago
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