Given that a <span>store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.
Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then
Given that </span>t<span>he first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25
Also, given that </span>t<span>he second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75
To obtain the cost of </span><span>one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:

Therefore, </span><span>
one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.</span>
In the given system of equations, the value of x is 7.334 and the value of y is 7.714
<h3>Solving system of linear equations</h3>
From the question, we are to solve the given system of linear equations
The given system of linear equations is
3x + 7y = 76 ------------ (1)
9y + 5y = 108 ------------ (2)
From equation (2), solve for y
9y+ 5y = 108
14y = 108
y = 108/14
y = 7.714
Substitute the value of x into equation (1), to determine the value of x
3x + 7y = 76
3x + 7(7.714) = 76
3x + 53.998 = 76
Subtract 53.998 from both sides of the equation
3x + 53.998 - 53.998 = 76 - 53.998
3x = 22.002
Divide both sides of the equation by 3
3x/3 = 22.002/3
x = 7.334
Therefore,
x = 7.334 and y = 7.714
Learn more on Solving system of linear equations here: brainly.com/question/13729904
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So your answer according to these hints I provided for you, should lead you to your answer, which should in other words be,
The 1st. The 2nd. And I would say...The 4th. The reason why I say not the 3rd one is because the 4 has nothing to do with the 8, the 3 does because it's divided by it.
If it's not useful, feel free to report for mistake in answer. -_-
Answer: -26=p
Explanation: The slope formula is m=(y2-y1)/(x2-x1).
Thus, we have 6=(2-p)/(-10-(-6)).
Combining the xs gives us 6=(2-p)/-4.
Multiplying both sides by -4 leaves us with -24=2-p.
We do -24-2 to isolate p and find that p=-26.
Answer:
The answer to your question is m = -5/3
Step-by-step explanation:
Data
Point 1 = (1, -6)
Point 2 = (-8, 9)
Process
To find the slope just substitute the values in the formula and simplify.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Identify x1, y1, x2 and y2
x1 = 1 y1 = -6 x2 = -8 y2 = 9
-Substitution
m = (9 + 6) / (-8 - 1)
-Simplification
m = 15/-9
-Result
m = -5/3