The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.
Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:
We can make two linear equation in two variables:
0.05x + 0.3y = 31.5 ...(1)
0.2x + 0.5y = 105 ...(2)
After solving the above two linear equations by substitution method, we get:
x = 450 grams
y = 30 grams
Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.
Learn more about the linear equation here:
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-- The trains start moving at the same time.
-- The space between them is initially 252.5 miles.
-- They reduce the distance between them at the rate of (124.7+253.5)=378.2mph.
-- It will take them (252.5 / 378.2) = 0.6676 hour to meet.
That's 40min 3.49sec .
-- After tooting and puffing toward each other for 8 minutes, they still have <em>32min 3.49sec</em> to go before they meet each other. We're all hoping that they're on different tracks.
Age>8. I think ..............
<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>

where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>

<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>

<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)
Answer:
20
Step-by-step explanation:
All you need to do is find the highest number in this table. In this instance, the answer is 20.