The post If a number is an integer, then it is rational. True or False If false provide a counter ex. appeared first on EduHawks.com.

]]>If a number is an integer, then it is rational. True or False If false provide a counter ex.

The post If a number is an integer, then it is rational. True or False If false provide a counter ex. appeared first on EduHawks.com.

]]>The post For any nonzero real number a, the __________ of a is 1 over 8 . integer whole number multiplicative inverse absolute value appeared first on EduHawks.com.

]]>**Answer:**

**C.$ 623**

**Step-by-step explanation:**

We are given that Sophia is saving money for a new bicycle.

The bicycle will cost atleast $623.

Sophia makes $8.22 per hour.

We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.

Let Sophia works h hours to make enough money to buy a new bicycle.

Sophia makes money per hour =$8.22

Total money made by Sophia in h hours =

According to question

**$623**

**Hence, option C is true.**

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]]>The post The sum of two consecutive even integers is 234. what is the larger integer? appeared first on EduHawks.com.

]]>The sum of two consecutive even integers is 234. what is the larger integer?

The post The sum of two consecutive even integers is 234. what is the larger integer? appeared first on EduHawks.com.

]]>The post When the string class ____ method is used to compare two strings, it provides additional information to the user in the form of an integer value? appeared first on EduHawks.com.

]]>When the string class CompareTo() method is used to compare two strings, it would provide additional information to the user in the form of an integer value. This method would compare a certain string to another object. The two objects are converted to a Unicode value in order to be compared. If they are equal, then the output would be 0 or else it would return a negative or a positive value.

The post When the string class ____ method is used to compare two strings, it provides additional information to the user in the form of an integer value? appeared first on EduHawks.com.

]]>The post The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6. Applying Newton’s cooling model, the temperature of the tea after 2 hours will be ___ ºF. round to the nearest integer. appeared first on EduHawks.com.

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You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

The post The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6. Applying Newton’s cooling model, the temperature of the tea after 2 hours will be ___ ºF. round to the nearest integer. appeared first on EduHawks.com.

]]>The post Find three consecutive integers such twice the greatest integer is 2 less than 3 times the least integer appeared first on EduHawks.com.

]]>
127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to

120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:

n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.

You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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]]>The post The mean life of pairs of shoes is 40 months with a standard deviation of 8 months. if the life of the shoes is normally distributed, how many pairs of shoes out of one million will need replacement before 30 months? round your answer to the nearest integer. appeared first on EduHawks.com.

]]>
You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

The post The mean life of pairs of shoes is 40 months with a standard deviation of 8 months. if the life of the shoes is normally distributed, how many pairs of shoes out of one million will need replacement before 30 months? round your answer to the nearest integer. appeared first on EduHawks.com.

]]>The post The next even integer that is larger than 2n, if 2n is an even integer. appeared first on EduHawks.com.

]]>**Answer:**

The third number in the sequence 31, 32, 33, 34 is 33

**Step-by-step explanation:**

let first number be the smallest number be x.

**Consecutive numbers are those numbers that follow each other in order and they should have a difference of 1 between every two numbers.**

Then, the four consecutive integers are x , (x+1), (x+2) , (x+3)

** Given**: the sum of 4 consecutive integers is 130.

From the given condition we have,

**Like terms states that contain the same variables raised to the same power.**

Combine like terms we get,

Subtract 6 from both the sides, we get

Simplify we get,

Divide both sides by 4;

On simplify we get, the value of x i.e,

the sequence we have, 31, 32, 33, 34,

**therefore, the third number in the sequence is, 33.**

The post The next even integer that is larger than 2n, if 2n is an even integer. appeared first on EduHawks.com.

]]>The post If 52/x is a positive integer, how many integer values are possible for x? appeared first on EduHawks.com.

]]>
127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to

120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:

n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.

You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

The post If 52/x is a positive integer, how many integer values are possible for x? appeared first on EduHawks.com.

]]>The post Find the greatest possible pair of numbers such that one integer is 5 more than twice the other and the sum is less than 30. appeared first on EduHawks.com.

]]>
1. We assume, that the number 78.65 is 100% – because it’s the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 78.65 is 100%, so we can write it down as 78.65=100%.

4. We know, that x is 325% of the output value, so we can write it down as x=325%.

5. Now we have two simple equations:

1) 78.65=100%

2) x=325%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

78.65/x=100%/325%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

2. We assume, that x is the value we are looking for.

3. If 78.65 is 100%, so we can write it down as 78.65=100%.

4. We know, that x is 325% of the output value, so we can write it down as x=325%.

5. Now we have two simple equations:

1) 78.65=100%

2) x=325%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

78.65/x=100%/325%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 325% of 78.65

78.65/x=100/325

(78.65/x)*x=(100/325)*x – we multiply both sides of the equation by x

78.65=0.307692307692*x – we divide both sides of the equation by (0.307692307692) to get x

78.65/0.307692307692=x

255.6125=x

x=255.6125

now we have:

325% of 78.65=255.6125

1. We assume, that the number 67.5 is 100% – because it’s the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 67.5 is 100%, so we can write it down as 67.5=100%.

4. We know, that x is 26.8% of the output value, so we can write it down as x=26.8%.

5. Now we have two simple equations:

1) 67.5=100%

2) x=26.8%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

67.5/x=100%/26.8%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.8% of 67.5

67.5/x=100/26.8

(67.5/x)*x=(100/26.8)*x – we multiply both sides of the equation by x

67.5=3.73134328358*x – we divide both sides of the equation by (3.73134328358) to get x

67.5/3.73134328358=x

18.09=x

x=18.09

now we have:

26.8% of 67.5=18.09.

Hope this helped

The post Find the greatest possible pair of numbers such that one integer is 5 more than twice the other and the sum is less than 30. appeared first on EduHawks.com.

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