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valentinak56 [21]
3 years ago
11

The sum of two consecutive integers is less than 55. The pair of integers with the greatest sum are 26 and 27.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

26 and 27

Step-by-step explanation:

The first integer = x

Therefore the second integer = x + 1

according to the statement we obtain the equation

(x) + (x + 1) <55

x + x + 1 <55

2 * x + 1 <55

We subtract 1 from both sides, we get:

2x <54

divide both sides by 2 we get:

x <27

Therefore the first integer is 26, since it has to be better than 27.

the second integer = x + 1

= 26 + 1

= 27

If we add 26 + 27 = 53, which is less than 55 and the condition is met

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Answer with work pls
viktelen [127]

Answer:

50 students

Step-by-step explanation:

Hello!  

To solve this question, we would first need to look at the data. In this data, there are people who chose their favorite sport, and the number of people who chose that response. In order to solve the problem, we would have to find the ratio of how many people choose baseball over the other sports.

By this, we can add the number of students together. 30+10+5+15=60. Out of those 60 students, only 5 people chose baseball.

Since the ratio of the people who chose baseball is 5/60 (meaning that it is a 5/60 % chance someone would pick this sport), we would need to find the amount of people assumed to pick baseball in 600 student survey.

We can make a relationship with these two numbers.

\frac{5}{60} =\frac{x}{600}, since the ratio of the students who chose baseball remain the same.

You can see that the ratio on the denominators just add a zero on the bottom, so the top should add 0 as well, to get 50 for x, what we needed.

You can also solve that relationship by cross multiplication.

5(600)=x(60

3000=60x

50=x

Regardless, the answer is 50 students who would choose baseball in a 600 persons survey.

5 0
2 years ago
Round 36.319 to the nearest tenth
vampirchik [111]
36.3 because the digit in the hundredths place is not 5 or greater
3 0
3 years ago
Read 2 more answers
How many different primes are in the prime factorization of 65529009
Tems11 [23]

Answer:

6 different primes.

3, 7, 13, 29, 31 , 89.

Step-by-step explanation:

Try dividing by primes starting with 3:

3 ) 65529009

3 )  21843003

7)  7281001

13)  1040143

29)  80011

31 (  2759

             89.   89 is a prime number.

7 0
3 years ago
Which of the following most commonly influences weather?
astraxan [27]
The answer should be jet streams. :)
6 0
3 years ago
What is the solution set of x2 + 5x + 1 = 0?
DerKrebs [107]

Answer:

\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}

Step-by-step explanation:

x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}

\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}

3 0
3 years ago
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