Find three consecutive even integers if three times the first integer is two times the third

Mathematics

1 answer:

lara31 [8.8K]2 years ago

4 0

Solution:

Let's name the three consecutive numbers as y, y + 2, and y + 4.

Note that:

=> Equation formed: 3(y) = 2(y + 4)

Solve the equation to find the three consecutive numbers.

3(y) = 2(y + 4)
=> 3y = 2y + 8
=> 3y - 2y = 8
=> y = 8

The numbers are 8, 10, and 12.

You might be interested in

What is the area of this trapezoid?

kolezko [41]

Answer:

are of trapezoid =1/2×height(a+b)

Step-by-step explanation:

A=1/2×8(10+20)

=4×30

=120cm*

5 0

3 years ago

if you were to solve the following system by substitution what would be the best variable to solve and from what equation? 2x+8y

Nina [5.8K]

All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y

My choice would be to solve for x using the first equation.

_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35

4 0

3 years ago

Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?

Bad White [126]

Answer:

$\frac{3}{r}+\frac{3}{8}=1$

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Working together, Sam and Charlie can change all light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone. Which equation can be be used to solve for the rate 'r', for Sam to change all the light bulbs in the office building by himself.

Let Sam can change the bulbs in the office alone in 'r' hours

Per hour work done by Sam alone = $\frac{1}{r}$