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3 years ago

Janie has $180. She spends 50% of her money on a new pair of ice skates. How much does she spend on ice skates?

Mathematics

2 answers:

Zigmanuir [339]3 years ago

5 0

--|- $90 spent. -|--

spin [16.1K]3 years ago

4 0

180 ÷ 2

since 50% is 1/2 of 100%

180 ÷ 2 = 90

$90

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Answer:

Following system of equations have exactly one solution:

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Step-by-step explanation:

Given 4 system of equations:

1st

$4 x + 2 y = 8\\ -4 x -2 y = 3$

2nd

$-5 x + y = 6\\ 5 x - y = - 6$

3rd

$- 3 x + 4 y = 2\\ 3 x - 4 y = 0$

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To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

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1. No solution:

There exists no solution if:

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2. Infinite solutions:

There exist infinitely many solutions if:

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3. One solution:

There exists one solution if:

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1st system of equations:

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So, no solution.

2nd system of equations:

The ratio:

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So, infinitely many solutions.

3rd system of equations:

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4th system of equations:

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Hence, only one solution.

So, the answer is:

Following system of equations have only one solution:

$2 x + 4 y = 6\\ 3 x - 4 y = 9$

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