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Brrunno [24]
2 years ago
14

find the three consecutive odd integers such that the sum of twice the first and three times the second is 67 more than twice th

e thirdz​
Mathematics
1 answer:
Elenna [48]2 years ago
4 0

Answer:

  23, 25, 27

Step-by-step explanation:

It can be convenient to work "consecutive integer" problems by using a variable to represent the middle one.

__

<h3>setup</h3>

Let x represent the middle integer. Then (x-2) is the first of the three odd integers, and (x+2) is the third. The given relation is ...

  2(x -2) +3x = 67 +2(x +2)

<h3>solution</h3>

  5x -4 = 2x +71 . . . . . simplify

  3x = 75 . . . . . . . . add 4-2x

  x = 25 . . . . . . . divide by 3

The three integers are 23, 25, 27.

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Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
nikdorinn [45]
13, I believe? Sorry if you get it wrong
8 0
3 years ago
Please help me with this :) i give 30 points .
Tatiana [17]

Answer:

2  B  4/75

3 B 1/7

Step-by-step explanation:

4 red, 3 blue, 2 yellow, 6 orange

total = 15

2.  P(red) = red/total = 4/15

replace it

so we still have 4 red, 3 blue, 2 yellow, 6 orange

total = 15

P(blue) = blue/total = 3/15 = 1/5

P(red, replace, blue) = 4/15 * 1/5 = 4/75

3 P(orange) = orange/total = 6/15 = 2/5

not replacing it

so we  have 4 red, 3 blue, 2 yellow, 5 orange

total = 14

P(orange) = orange/total = 5/14

P(orange, no replace, orange) = 2/5*5/14 = 2/14 = 1/7

6 0
3 years ago
Read 2 more answers
Page 1
scZoUnD [109]

Answer:

3x+4=28 This is the answer.

5 0
3 years ago
Hello, please help me ​
dem82 [27]

Answer:

The second answer is correct.

Step-by-step explanation:

1 quart = 0.95 litres

15 quarts = 15 quarts * 0.95 litres/quart, which is the second answer.

5 0
3 years ago
Which of the following points lie in the solution set to the following system of inequalities? y ≤ x − 5 y ≥ −x − 4
Strike441 [17]
Y ≤ x - 5
y ≥-x - 4

   x - 5 = -x - 4
+ x       + x
 2x - 5 = -4
     + 5  + 5
       2x = 1
        2     2
         x = ¹/₂
         y = x - 5
         y = ¹/₂ - 5
         y = -4¹/₂

The following points that lie in the solution set to the following system of inequalities is (¹/₂, -4¹/₂).
8 0
3 years ago
Read 2 more answers
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