All categories

3 years ago

Find three consecutive odd integers such that the sum of the smallest and twice the second is 14 more than the third.

Mathematics

1 answer:

blondinia [14]3 years ago

3 0

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation. You have 3 integers x, y, and z.

x + 2y = z + 14.

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

You might be interested in

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (1,3) H (4,3) J (5,1) and K (2,1

Basile [38]

Answer: (3,2)

Step-by-step explanation: <u>Diagonal</u> is a line connecting two opposite points of a form. In parallelograms, there two diagonals and they bisect each other, i.e., the point where the diagonals meet divide them into two segments with the same measure. In short, diagonals meet at their midpoint.

The way to determine midpoint is given by

(x,y) = ${\frac{x_{1}+x_{2}}{2} },\frac{y_{1}+y_{2}}{2}$

(x,y) = ${\frac{1+5}{2} },\frac{3+1}{2}$

(x,y) = (3,2)

The coordinates where diagonals of parallelogram GHJK intersect are (3,2).

4 0

3 years ago

What is the solution of this system of linear equations? 3y=3/2x+6 1/2y-1/4x=3.

tensa zangetsu [6.8K]

Answer:

No solution

Step-by-step explanation:

Please, separate equations with a comma, or the word "and," or a semicolon.

Next, determine the LCD and multiply both equations by it, so as to elimiinate the fractional coefficients.

3y=3/2x+6 1/2y-1/4x=3

should be written as the system

3y=(3/2)x+6 Use parentheses around the fraction for clarity

(1/2)y-(1/4)x=3 Same: use parentheses

The LCDs here are 2 (for the first equation) and 4 (for the second equation). Multiply the first equation by 2 to eliminate the fractions:

3y=(3/2)x+6 → 6y = 3x + 12, and

4[ (1/2)y-(1/4)x=3 ] → 2y - x = 12

Let's use the substitution method to solve this system. Solve the 2nd equation for x, obtaining x = 2y - 12. Substitute 2y - 12 for x in the 1st equation 6y = 3x + 12:

6y = 3(2y - 12) + 12, or

6y = 6y - 36 + 12

This reduces to 0 = -24, which is never true. Thus,

this system has NO solution.

5 0

3 years ago

Hey! please help i’ll give brainliest!

user100 [1]

Answer:

the answer is c so hope this helps you best of the luck

5 0

3 years ago

Please help . Really need done . Thank you . Will mark Brainly .

Gekata [30.6K]

Answer:

(5,2)

Step-by-step explanation:

Answer (5,2)

N(2)

W E(5)

8 0

3 years ago

Please Help!

Makovka662 [10]

I think it is not because it’s also not proportional and they are basically identical except for what b is equal to

5 0

3 years ago