Answer:
2 numbers could be 10 and 12
or - 12 and - 10
Step-by-step explanation:
let the 2 numbers be x and x + 2
since they are 2 consecutive even numbers, the difference between them is 2
the difference between the reciprocals is 1/60
we have to mulitply the 2 denominators x and (x+2) to get a common denominator for the 2 fractions
=
we can then remove the brackets from the numerator and denominator
and then cross multiply
60 * 2 = x² + 2x
120 = x² + 2x
x² + 2x - 120 = 0
we have a quadratic equation which needs to be solved
x² + 12x - 10x - 120 = 0
x (x + 12) - 10(x + 12) = 0
(x - 10) (x + 12) = 0
x - 10 = 0 or x + 12 = 0
x = 10 x = -12
<h3>The constant of variation is
</h3><h3>The equation is
</h3>
<em><u>Solution:</u></em>
Given that,
The conversion of square feet to square yards can be represented by direct variation
Let y represent the number of square yards
Let x be the number of square feet
y = kx ------ eqn 1
Where, "k" is the constant of variation
Three square yards are equivalent to 27 square feet
Substitute, y = 3 and x = 27 in eqn 1
Thus the constant of variation is
<em><u>What is the equation representing the direct variation?</u></em>
Substitute k = 1/9 in eqn 1
Thus the equation is found
Number of cups you have / number of friends to share it between = 6/8
You can simplify 6/8 by dividing both the numerator and the denominator by 2.
6/8 = 3/4 or 0.75 of a cup
