A coin contains 1.25 grams of nickel and 3.75 grams of copper, for a total weight of 5 grams. What percentage of the metal in th
1 answer:
So,
To find the percentage that the copper comprises, just divide the amount of copper by the total amount of metal in the coin. In this case, we will change the denominator so that it is 100, which can easily be converted into a percentage, which is really just a fraction out of 100.
75%
75% of the metal in the coin is copper.
To find the percentage that the copper comprises, just divide the amount of copper by the total amount of metal in the coin. In this case, we will change the denominator so that it is 100, which can easily be converted into a percentage, which is really just a fraction out of 100.
75%
75% of the metal in the coin is copper.
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Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, . I chose the points (0, -1) and (-1, 0):
Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:
<span><u><em>Answer:</em></u>
Each will have passed 17 tests and it will take 3 weeks.
<u><em>Explanation: </em></u>
Let x be the number of weeks.
The number of tests <u>Travis</u> passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.
The number of tests <u>Jenifer</u> has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.
<u>Setting these equal, we have: </u>
11+2x=2+5x.
<u>Subtract 2x from each side: </u>
11+2x-2x=2+5x-2x;
11=2+3x.
<u>Subtract 2 from each side: </u>
11-2=2+3x-2;
9=3x.
<u>Divide both sides by 3:</u>
</span>
<span>;
3=x.
It will take <u>3 weeks</u>.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.</span>
Each will have passed 17 tests and it will take 3 weeks.
<u><em>Explanation: </em></u>
Let x be the number of weeks.
The number of tests <u>Travis</u> passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.
The number of tests <u>Jenifer</u> has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.
<u>Setting these equal, we have: </u>
11+2x=2+5x.
<u>Subtract 2x from each side: </u>
11+2x-2x=2+5x-2x;
11=2+3x.
<u>Subtract 2 from each side: </u>
11-2=2+3x-2;
9=3x.
<u>Divide both sides by 3:</u>
</span>
3=x.
It will take <u>3 weeks</u>.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.</span>