Since Sylvanite only contains 28% gold by mass, then to obtain 81.0 grams of gold, x amounts of sylvanite must be mined. To determine x, we divide 81 grams by 28%. This equation is shown below:
0.28X = 81
X = 81/0.28
X = 289.29 grams
Therefore, 289.29 grams of sylvanite must be dug up to obtain 81 grams of gold.
Answer:
The equation in the slope-intercept form will be:

Step-by-step explanation:
Given
As we know that the equation of a line in point-slope form is

substituting the values m = -5/4 and point = (8, -9)


Writing the equation in slope-intercept form

where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes

subtract 9 from both sides


Therefore, the equation in the slope-intercept form will be:

$1000 - ($20 + $20) = $60
$60 / $10 = 6 paper weights
The integer that represents Omar's score is -14.
<h3>What is the integer represents Omar’s score?</h3>
Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.
When Omar wins, the points are added and when he losses, the points are subtracted.
0 + 8 - (6 x 4) + 2
0 + 8 - 24 + 2 = -14
To learn more about integers, please check: brainly.com/question/21493341
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Answer:
57 kilometers a day.
Step-by-step explanation:
I just divided 513 by 9 and got that.