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Ludmilka [50]
2 years ago
9

Find three consecutive odd integers such that the sum of the​ first, two times the second and three times the third is 82.

Mathematics
2 answers:
tigry1 [53]2 years ago
4 0
I think the answer is (A)
Gelneren [198K]2 years ago
3 0

Answer:

11, 13, 15

B) 6x + 16 = 82

Note: I just kept my wrong approach.

Step-by-step explanation:

Let first define an odd integer.

Considering x\in\mathbb{Z}: 2k+1, x is an odd integer.

Now, three consecutive odd integers are a_1 = 2k+1 , a_2 = 2k+3 and a_3 = 2k+5

The sum of the​ first, two times the second and three times the third can be written as

a_1  + 2a_2 + 3a_3 = 2k+1 + 2(2k+3)+3(2k+5)

Expanding and simplifying

2k+1 + 2(2k+3)+3(2k+5) = 2k+1 +4k+6+6k+15 = 12k+22

This is what I have done initially, but considering x to be an odd integer, three consecutive integers can be written as

x, x+2, x+4 such that x\in\mathbb{Z}: 2k+1

Therefore,

x+2(x+2)+3(x+4)=82 \implies x+2x+4+3x+12 = 82 \implies 6x+16 = 82

and 6x+16 = 82 \implies 6x = 66 \implies x = 11

The three consecutive odd integers such that the sum of the​ first, two times the second and three times the third is 82 are 11, 13, 15

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Maya reads that 0.63 of Oak School is female and 0.47 of Elm School is female. She says that Oak School must have more females.
-BARSIC- [3]

Answer:

No not correct

Step-by-step explanation:

We are given information that Maya came to know that 0.63 pf Pal school is female and 0.47 of Elm school is female.

Without knowing the total number of students in each school, we cannot conclude that 0.63 is greater than 0.47

For example, say number of students in Oak school be 100, and in Elm school be 200

Females in Oak school = 0.63(100) =63

Females in Elm school = 0.47(200) = 94

We find that there are more females in Elm school

So with the information given, we cannot conclude she is correct , there are chances for her being wrong also.

4 0
3 years ago
Alex is 12 years older than George. Carl is Three times older than Alex The sum of their ages is 68 Find the ratio of George’s a
earnstyle [38]

Ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

<em><u>Solution:</u></em>

Let "a" be the age of Alex

Let "g" be the age of George

Let "c" be the age of Carl

<em><u>Alex is 12 years older than George</u></em>

Therefore,

Age of Alex = 12 + Age of George

a = 12 + g

g = a - 12 ---- eqn 1

<em><u>Carl is Three times older than Alex</u></em>

Age of Carl = 3 x Age of Alex

c = 3a -------- eqn 2

<em><u>The sum of their ages is 68</u></em>

age of Alex + age of George + age of Carl = 68

a + g + c = 68 ----------- eqn 3

<em><u>Substitute eqn 1 and eqn 2 in eqn 3</u></em>

a + a - 12 + 3a = 68

5a - 12 = 68

5a = 12 + 68

5a = 80

a = 16

<em><u>Substitute a = 16 in eqn 2</u></em>

c = 3(16) = 48

c = 48

<em><u>Substitute a = 16 in eqn 1</u></em>

g = 16 - 12 = 4

g = 4

<em><u>Find the ratio of George’s age to Carl’s age to Alex’s age</u></em>

Ratio of George’s age to Carl’s age to Alex’s age = g : c : a

g : c : a = 4 : 48 : 16

Divide the above ratio by 4 to reduce to lowest terms

g : c : a - 1 : 12 : 4

Thus ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

6 0
3 years ago
What are the next two numbers in this pattern? 5, –30, 180, –1080, . . .
Amiraneli [1.4K]

6480 is the next one, and the second next one is -38880. You can determine this by multiplying the number twice by 36.

4 0
3 years ago
Read 2 more answers
3. Write an equation in slope-intercept form of the line that passes
kirill115 [55]

Answer:

B. y = 2x - 9

Step-by-step explanation:

All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.

You can tell by plugging the point into the equation and seeing if the result is true.

y = 2x - 9

-1 = 2(4) - 9

-1 = 8 - 9

-1 = -1

4 0
2 years ago
Read 2 more answers
ASAP HELP PLEASE! WILL GIVE BRAINLIEST
Mila [183]

Answer:

  1. Least Value = 2
  2. Median = 6
  3. Greatest Value = 10
  4. Third Quartile = 8
  5. Range = 8 (10 - 2 = 8)
  6. First Quartile = 5

Step-by-step explanation:

7 0
2 years ago
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