By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?
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The ratio for Rowan = <u>4:1</u>.
The ratio for Marcia = <u>10:1</u>.
The ratio for Jillian = <u>5:1</u>.
The ratio for Lulua = <u>6:1</u>.
The smallest ratio among these for purple to white flowers is for Rowan, that is, <u>4:1</u>.
Ratios are fractions in the simplest form representing the relationship between two quantities.
The ratio of purple to white flowers for each friend can be shown as:-
Rowan:
The number of purple flowers = 8
The number of white flowers = 2
Thus, the fraction of purple to white flowers = 8/2 = 4/1.
Thus, the ratio for Rowan = 4:1.
Marcia:
The number of purple flowers = 10
The number of white flowers = 1
Thus, the fraction of purple to white flowers = 10/1.
Thus, the ratio for Marcia = 10:1.
Jillian:
The number of purple flowers = 10
The number of white flowers = 2
Thus, the fraction of purple to white flowers = 10/2 = 5/1.
Thus, the ratio for Jillian = 5:1.
Lulua:
The number of purple flowers = 18
The number of white flowers = 3
Thus, the fraction of purple to white flowers = 18/3 = 6/1.
Thus, the ratio for Lulua = 6:1.
The smallest ratio among these for purple to white flowers is for Rowan, that is, <u>4:1</u>.
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The vibration period of the spring will be 0.2 seconds
<em><u>Explanation </u></em>
The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...
Given that, the weight(w) = 2.0 kilograms
So, <u>plugging w = 2.0</u> into the above equation, we will get...
So, the vibration period of the spring will be 0.2 seconds.