Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds
9514 1404 393
Answer:
about $171,400
Step-by-step explanation:
William's total monthly debt is ...
$1012.84 +579.13 +250 +300 = 2141.97
On an annual basis, this is ...
12 × $2141.97 = $25,703.64
This will be 15% of (25703.64/0.15) = $171,357.60.
William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.
_____
<em>Additional comment</em>
A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.
Answer:
1/8
Step-by-step explanation:
x-8y=-1
First, put the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
-8y = -x-1
y = 1/8x +1/8
The slope is 1/8 and the y intercept is 1/8
The slope for parallel lines is the same for all parallel lines
1/8
A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.
<h3>How to calculate the slope of a line?</h3>
Mathematically, the slope of a line is given by the following formula;
For line RP, we have:
Slope RP = 7.
For line SQ, we have:
Slope SQ = negative one-sevenths.
For the midpoint, we have:
In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.
Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.
In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.
Read more on squares here: brainly.com/question/2882032
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