a simple way to do away with denominators, is we can simply multiply both sides by the LCD, in this case the LCD is 3, so let's multiply both sides by 3.

$\bf 3\left( \cfrac{1}{3}x+y \right)=3(4)\implies x+3y=12\implies 3y=12-x
\\\\\\
y=\cfrac{12-x}{3}\implies \stackrel{\textit{distributing the denominator}}{y=\cfrac{12}{3}-\cfrac{x}{3}}\implies y=4-\cfrac{1}{3}x$

6 0

3 years ago

At a red-tag sale, all items with red tags have been marked down by 49%. What should be the sale price of a DVD player having a

ss7ja [257]

The answer is 119.8245. 49% of $234.95 is 115.1255 (.49 • 234.95 = 115.1255). Subtract $115.1255 from $234.95 to get the answer to get 119.8245 (234.95 – 115.1255 = 119.8245).

6 0

3 years ago

A bag contains 10 marbles:

Len [333]

Total number of marble = 10
3green
2red
5 blue
Probability that the first marble is red = 2/10

Probability that the second is blue = 5/9(a reduction in the total number of marbles, because after the first marble was picked it wasn't replaced)

Probability of 1st and 2nd being red and blue respectively = 2/10 × 5/9
=1/9....

Hope this helped...?

6 0

3 years ago