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sveticcg [70]
3 years ago
7

Let i be the first of four consecutive integers. what is 3 less than the sum of those integers ?

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
The consecutive integers are i, i+1, i+2, i+3.

3 less than sum of the integers

= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3
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PLEASE help me answer this!!!
tia_tia [17]

Check the picture below.

8 0
2 years ago
Problem 2:
kifflom [539]

Answer:

The answers to the questions about problem 2 are:

  1. The fraction of the length after Priya stops two times is 3/4.
  2. The fraction of the length after Priya stops four times is 15/16.
  3. Priya will never reach the end of the hallway.

Step-by-step explanation:

The explanation about each answer is below:

1. In the first stop, Priya has walked half of the total length, and there would still be half the hallway, however, when she stops the second time, she has walked the half of the half, I mean:

\frac{1}{2}/2=\frac{1}{4}

If you add the two values you obtain the total distance traveled by Priya:

\frac{1}{2}+\frac{1}{4}= \frac{3}{4}

And the distance traveled in two stops is 3/4 of the total length of the hallway.

2. With four stops the system is the same, we know with two stops Priya travels 3/4 of the hallway, now with the third stop, she will travel half of the remaining distance:

\frac{1}{4}/2=\frac{1}{8}

And in the fourth stop she will travel half of the remaining, I mean:

\frac{1}{8}/2=\frac{1}{16}

Now, we add all the values of the distances obtained:

\frac{3}{4}+\frac{1}{8}+\frac{1}{16}= \frac{15}{16}

So, the distance traveled by Priya in the fourth stop is 15/16 of the total length of the hallway.

3. How we know, the numbers are infinite, in the same forms the distances, by this reason, how the problem says that Priya walks just half of the distance, she will never reach the end because despite she has very near of the end, she will continue walking just half and ever smaller distances.

3 0
3 years ago
What is the answer to 3/x-2 is ≥12
Tju [1.3M]

Answer:

The answer to your question is 0 < x ≤ 3/14

Step-by-step explanation:

Here are the steps to solve it.

First, you need to solve your inequality step-by-step:

3/x −2 ≥ 12

-2x + 3/x = ≥12

Next, find the critical points of the inequality:

2x + 3/x = 12

−2x + 3 = 12x (Multiply both sides by x)

−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)

−14x + 3 = 0

−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)

−14x = −3

-14x/ -14 = -3/ -14 (Divide both sides by -14)

So, that gives you your answer:

x = 3/14

3 0
3 years ago
9. Write an equation for the table in slope-
never [62]
The slope is going to be 1.6
So y = 1.6x - 5
6 0
3 years ago
What is the length of the unknown side?
777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

4 0
3 years ago
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