Which expression is equivalent to the given expression?

Mathematics

1 answer:

worty [1.4K]2 years ago

8 0

Answer:

omg its simple guys

Step-by-step explanation:

do the math.

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for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b

marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

⇒ 300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

= 101/2 (300+100)

= 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4

7 0

1 year ago

a tea company surveyed shoppers at two different malls. shoppers were asked whether they prefer sweetened or unsweetened tea. at

FromTheMoon [43]

First, let's create the ratios of sweetened to unsweetened. To do this, you would have to subtract the number of people that preferred unsweetened from the total.
Westside mall: 15:30 or $\frac{15}{30}$
Eastside mall: 13:26 or $\frac{13}{26}$

Now, you would divide to both ratios.
15 ÷ 30 = 0.5
13 ÷ 26 = 0.5

They have the same sum, meaning, they are the same.

Westside Mall shoppers are just as likely to prefer unsweetened tea as Eastside Mall shoppers.

I hope this helps!

8 0

3 years ago

Find the value of x plsss

mafiozo [28]

Answer:

x=10.8

Step-by-step explanation:

9²+6²=c²

81+36=c²

117=c²

√117=10.81

x=10.81