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inysia [295]
3 years ago
6

Lulu found a recipe for her favourite snack: yogurt covered peanut clusters. Lulu wanted to make a large batch of peanut cluster

s, so she bought 4 pounds of peanuts for $14. How much would it cost to buy 10 pounds of peanuts? What is the cost per pound?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0

Answer:

How much would it cost to buy 10 pounds of peanuts?

Answer: $35

What is the cost per pound?

Answer: $3.50

Step-by-step explanation:

So first, to find the anser to the first question, we need to find out the second question. So, what is the cost per pound.

Well if she got 4 pounds for $14, we should try dividing 14 by 4.

14 divided by 4 = 3.5 ($3.50)

So the cost per pound is $3.50

Now to find out how much it costs if Lulu bought 10 pounds, we need to multiply.

10 x 3.5 = 35

So if she bought 10 pounds, she would play $35

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X^{2} - 8x + 7 = 0<br> Solve by completing the square. Also can you include steps?
iren [92.7K]

Answer:

{1, 7}

Step-by-step explanation:

Start with x^2 - 8x + 7 = 0.

We want to modify the first two terms to resemble x^2 - ax + b - b, where a is the coefficient (here -8) of the x term and b is the square of half of a.

Here, a = -8.  Half of that is -4.  The square of -4 is 16, and this is the value of b.

Write out x^2 - 8x     as    x^2 - 8x + 16 - 16.  This is the perfect square of -4, added to x^2 - 8x and then subtracted from the result

Then the original equation, x^2 - 8x + 7 = 0, can be rewritten as:

x^2 - 8x + 16 - 16 + 7 = 0, and then as (x - 4)^2 - 9, or (x - 4)^2 = 9.

We want to solve this result for x.  To do this, take the square root of both sides:

x - 4 = ±√9, or x - 4 = ±3.

Adding 4 to both sides, we get:

x = 4 ± 3.  Thus, the solutions are x = 4 + 3 = 7 and x = 4 - 3 = 1.

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