Alexander went to the store to buy some walnuts. The price per pound of the walnuts is $8 per pound and he has a coupon for $1 off the final amount. With the coupon, how much would Alexander have to pay to buy 2 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.
Answers
Final answer:
Alexander would have to pay $15 for 2 pounds of walnuts after using the coupon. The expression for the cost to buy p pounds of walnuts is (8 * p) - 1.
Explanation:
The price per pound of walnuts that Alexander is buying is $8. If he is buying 2 pounds, without the coupon he would have to pay 2 * $8 = $16. But since he has a $1 off coupon, he would have to pay $16 - $1 = $15.
To formulate an expression for the cost to buy p pounds of walnuts, we consider that each pound costs $8 and there is a $1 off from the total price. So for p pounds, the expression would be (8 * p) - 1.
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Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.
What is a cost function?
The functional connection between cost and output is referred to as the cost function. It examines the cost behaviour at various output levels under the assumption of constant technology. An essential factor in determining how well a machine learning model performs for a certain dataset is the cost function. It determines and expresses as a single real number the difference between the projected value and expected value.
Given that, the price per pound of walnuts is $8.
2 pounds x $8/pound = $16
Alexander would get $1 off the final amount.
Thus,
$16 - $1 = $15
So Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon.
The expression for the cost can be written as:
cost = ($8/pound) x pp - $1
Hence, Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.
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y = -7x - 20
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Answer:
x = -3
Step-by-step explanation:
3x + 10 = -7x -20
3x + 7x = -20 -10
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Step-by-step explanation:
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6+13=19
then I added 19+14=33
Then you know that it has to be a negative so...
-33 is the answer
Hope it helped :)
Final answer:
The value of the integer 'n' in the given equation 6n + 13 = -14 is -4.5
Explanation:
The problem seeks to determine an integer 'n' such that the product of 6 and 'n,' increased by 13, equals -14. This can be represented by the equation 6n + 13 = -14. To solve for 'n,' we begin by isolating it. First, we subtract 13 from both sides of the equation, resulting in 6n = -27. Then, we divide both sides by 6 to determine 'n.' Consequently, the value of 'n' is found to be -27/6, which simplifies to -4.5. However, it's worth noting that 'n' must be an integer, and -4.5 is not an integer. Therefore, there may be an issue with the problem statement or solution.
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Answers
Answer:
Approximately 9.90 units.
Step-by-step explanation:
The distance formula is:
Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.
Plug in the numbers:
Answers
Let the number = x
It would be: 2x+15 = 29
2x = 14
x = 7