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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Answer:
y=-40 and x is 2
Step-by-step explanation:
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The correct answer is: [D]: " <span>x-int : 1 , y-int: 0.5 " .
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Note:
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The "x-intercept" refers to the point(s) at which the the graph of a function (which is a "line", in this case) cross(es) the "y-axis".
In other words, what is (are) the point(s) of the graph at which "x = 0<span>" ?
</span>
By examining the graph, we see that when " x = 0" ; y is equal to: "1<span>" .
</span>
So; the "x-intercept" is at point: "(0, 1)" ; or, we can simply say that the
"x-intercept" is: "1" .
_________________________________________________________</span> Note:
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The "y-intercept" refers to the point(s) at which the the graph of a function (which is a line, in this case) cross(es) the "x-axis".
In other words, what is (are) the point(s) of the graph at which " y = 0 <span>" ?
</span>
By examining the graph, we see that when " y = 0 " ; x is equal to: "0.5<span>" .
</span>
So; the "x-intercept" is at point: "(0.5, 0)" ; or, we can simply say that the
"y-intercept" is: "0.5 " .<span>
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This would correspond to:<span>
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Answer choice: [D]: </span>" x-int: 1 , y-int: 0.5 " .
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{that is; The "x-intercept" is: "0" ; and the "y-intercept" is: "0.5 ".} .
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Answer:
-4,790
Step-by-step explanation:
60 x 389 = 23,340
18,550 - 23,340 = -4,790
