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egoroff_w [7]
2 years ago
8

Please help me with this problem

Mathematics
1 answer:
user100 [1]2 years ago
7 0

Answer:

Keisha bought 3 sandwiches and 5 lemonades.

Equations:  x + y = 8       2x + y = 11

Step-by-step explanation:

To solve a problem with two variables, you need to set up a system of equations comparing the two variables and solve using either substitution or elimination.  If 'x' represents the number of sandwiches and 'y' represents the number of lemonades, then x + y = 8 because they bought a total of 8 items.  Also, the cost of each item is given as well as the total amount of money spent.  So, our second equation is: 2x + y = 11.   We can use inverse operations to solve for 'y' in the first equation:  x + y - x = 8 - x which simplifies to: y = 8 - x.  We can then use this expression to substitute in for the variable 'y' in the second equation:  2x + 8 - x = 11.

Combine like terms:  x + 8 = 11

Inverse Operations: x +8 - 8 = 11 - 8

Solve:  x = 3, so Keisha bought 3 sandwiches

Solve for y:  y = 8 - 3 = 5, so Keisha bought 5 lemonades

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Answer:

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Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

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In this case:

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Open Bracket

17^2 = x^2 + 4x^2- 2x-2x + 1

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Collect Like Terms

5x^2 - 4x + 1 - 289 = 0

5x^2 - 4x - 288 = 0

Solving using quadratic formula:

x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

So:

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Since, x can't be negative, then:

x = 8

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Leg\ 1 = x

Leg\ 1 = 8

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