In plain and short, we simply divide the "whole" by the sum of the ratios, and distribute accordingly.
now, 100% is the whole of any amount, so we'll divide 100% by (3+1).
9.2 kg of apples and pears combined
4/5 of 9.2 kg are apples
4/5=0.8=80%
100% 9.2 kg
80%. X kg
X= 80 • 9.2/100
X=736/100
X=7.36 kg of apples
9.2kg-7.36kg=1.84 kg of pears
We should each breakdown the probability first for scarves, gloves and hat.
Probability of choosing brown scarf = 1/4
<span>Probability of choosing black gloves = 1/3
</span>There may be no specification of the hat so it is still random, any color of the two hats is possible.
Multiply these probabilities together:
1/4 x 1/3 x 2 = 1/6
The probability of this combination of clothes together is 1/6
If we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².
<h3>What is a mathematical equation?</h3>
An equation must contain two sets of variables, the independent variable and the dependent variable separated by the equality sign.
In this case, the original system of equations are; y = 9x² and x + y = 5. It the follows that, if we substitute equation (2) into (1) then we have the equivalent equations; y = 5 - x and 5 - x = 9x².
Learn more about mathematical equations:
brainly.com/question/19939553
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