Question

Can someone please help me please

Answer 1

`\mathrm{{\left[\begin{array}{ccc}\:\:&True&False\\10 : 18&x&\\6 : 10&&x\\30 : 54&x& \\27 : 15&&x\end{array}\right] }}\\`

Explanation:

The ratio of blue paint to yellow paint that makes the green paint is 5:9. This means that for every 5 gallons of blue paint, 9 gallons of yellow paint are used. To determine which of the given ratios will make the same shade of green paint, we can simplify them to see if they are equivalent to the ratio 5:9.

10:18 simplifies to 5:9 (dividing both sides by 2), so this ratio will make the same shade of green paint.

6:10 simplifies to 3:5 (dividing both sides by 2), so this ratio will not make the same shade of green paint.

30:54 simplifies to 5:9 (dividing both sides by 6), so this ratio will make the same shade of green paint.

27:15 simplifies to 9:5 (dividing both sides by 3), so this ratio will not make the same shade of green paint.

So, the ratios that will make the same shade of green paint are 10:18 and 30:54.