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OLEGan [10]
3 years ago
10

If the hot dog eating champion's goal is to eat 1 hot dog every 13 seconds, how many whole hot dogs does he expect to eat in 12

minutes?
Mathematics
1 answer:
sweet [91]3 years ago
6 0
He wil eat a total of 55.2 hot  dogs. there 60 seconds in a minute . he plans to eat 1 hotdog in every  13 seconds . you divide 60 by 13 . he will eat 4.6 hot dogs in  a minute . then you multiply 4.6 by 12.
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Solve the system of equations.
guajiro [1.7K]

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

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The value of y varies directly with x. If x=3, then y=21. What is the value of x when y=105?
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