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arsen [322]
3 years ago
11

Cindy took her five grandchildren to the movies, where she offered to buy all of them popcorn and candy. A popcorn bag costs $4.

00, and a box of candy costs $2.50. Cindy ended up spending $35.00 and purchasing one more box of candy than bags of popcorn. Use a system of equations to model the situation above, and determine which of the following is a possible description of Cindy's purchase
Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0
5 bags of popcorn and 4 boxes of candy
tino4ka555 [31]3 years ago
5 0
The correct answer is 5 bags of popcorn and 6 boxes of candy, 4.00 times 5 is 20 and 2.50 is 15 making 35
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Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit​
andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. We can plug in 4\sqrt{2} = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\

(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2

32 = (4)^2 + (7-k)^2

32 = 16 + (7-k)^2

32 - 16 =  (7-k)^2

16 =  (7-k)^2

\sqrt{16} =  (7-k)

4 = 7-k

k = 3

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The difference of the given fraction is expressed as \frac{x^2+4x-1}{x(x+2)}

Given the expression:

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Take the LCM of the fraction to have:

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Hence the difference of the given fraction is expressed as \frac{x^2+4x-1}{x(x+2)}

Learn more on fractions here; brainly.com/question/78672

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