First statement : Six more than three times a number is less than or equal to 96.
Let us assume number be n.
We can repharse above statement as :
"6 more than 3 times of n is less than or equal to 96".
Therefore, we can write an ineuality as.
3 times of n = 3n
6 more than 3 times of n = 3n+6.
3n+6 ≤ 96.
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Statement 2: Five less then half the distance from Jerod’ s home to the mall is more then 6 miles.
Let us distance from Jerod’ s home to the mall is d.
We can repharse above statement as:
5 less than 1/2 of d is more than 6 miles.
5 less than 1/2 of d = 1/2d -5 .
Therefore, we can write an ineuality as.
12d -5 > 6.
Answer:

Step-by-step explanation:
Given that,
The value of 
We need to find an expression for
. To find it, put the value of n as (n-1). So,

Hence, the value of S(n-1) is equal to
.
Answer:
Look below.
Step-by-step explanation:
Good ol' Pythagorean Theorem.
To find the short side of the larger triangle, we'll use this equation:

You can solve the rest on your own.
Use the same type of equation for the smaller triangle, except your b would be the hypotenuse, so that equation would look something like this:

Hope it helped! Also, there seems to be a help video, if you didn't understand this explanation, why don't you go ahead and watch it?
Answer:
The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).
Step-by-step explanation:
We know that sum of an Arithmetic Progression(A.P.) is given by:
where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.
Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.
image with explanation
Hence, sum of even numbers from 1 to 100 is 2550.
Also the series of odd numbers is an A.P. with a common difference of 2.
sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99
.
Hence, the sum of all the odd numbers from 1 to 100 is 2500.
Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).
Hence the statement is incorrect.
Step-by-step explanation:
Hopes this helps:
Answer: D.
1. Simplify 12/18 to 2/3.
2/3 = 16/24
2. Simplify 16/24 to 2/3.
2/3 = 2/3
3. Some both sides equal, there are infinitely many solutions.