My teacher didn't go over this and we have to show work Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.

The three consecutive even integers are 6, 8, 10

Step-by-step explanation:

∵ The three consecutive even numbers are x, x + 2, x + 4

∵ The smallest number is x

∴ Twice the smallest number = 2x ⇒ (1)

∵ The largest number is x + 4

∴ Three times the largest number = 3(x + 4) = 3(x) + 3(4)

∴ Three times the largest number = 3x + 12 ⇒ (2)

∵ The sum of twice the smallest number and three times the largest is 42

→ Add (1), (2) and equate the sum by 42

∴ 2x + 3x + 12 = 42

→ Add the like terms

∴ 5x + 12 = 42

→ Subtract 12 from both sides

∴ 5x + 12 - 12 = 42 - 12

∴ 5x = 30

→ Divide both sides by 5

∵

∴ x = 6

∴ The smallest integer is 6

∴ The middle integer is 6 + 2 = 8

∴ The largest integer is 6 + 4 = 10

∴ The three consecutive even integers are 6, 8, 10

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.