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maksim [4K]
4 years ago
8

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of people paid $204.00

for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of child tickets purchased?
Mathematics
2 answers:
Reika [66]4 years ago
4 0
X + y = 12

21.50x + 14.75y = 204
german4 years ago
4 0

Step-by-step explanation and the Answer:

Let x= the number of adult tickets purchased and let y= the number of child tickets purchased. We know that 1) A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. 2) A group of 12 people paid $204 for tickets. So x+y=12 is equation 1 and 21.50x+14.75y=204 is equation 2. So therefore the answer is D. x+y=12\\21.50x+14.75y=204

OR

Even though you didn't provide options from which to choose, you don't need them to figure out the system.  We need an equation that involves the NUMBER of people and then we need an equation that involves the MONEY earned.  Two different things here. As for the number of people, we know that the number of adult tickets + the number of children = 12 people, so x+y=12 is the first equation. Now for the money 21.50x + 14.75y = 204 is the 2nd equation.  So therefore your system is D. x+y=12\\21.50x+14.75y=204

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3 years ago
1+2-3+4+5-6+7+8-9...+97+98-99
zaharov [31]

Answer:

  1584

Step-by-step explanation:

The sum of this sequence can be found a number of ways. One way is to recast it as the series whose terms are groups of three terms of the given series.

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<h3>series of partial sums</h3>

The partial sums, taken 3 terms at a time, are

  1+2-3 = 0

  4+5-6 = 3

  7+8-9 = 6

...

  97+98-99 = 96

So the original series is equivalent to ...

  0 +3 +6 +... +96 = 3×1 +3×2 +... +3×32 = 3×(1 +2 +... +32)

That is, the sum is 3 times the sum of the consecutive integers 1..32.

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<h3>consecutive integers</h3>

The sum of integers 1..n is given by the equation ...

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<h3>series sum</h3>

Using this to find the sum of our series, we find it to be ...

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<em>Alternate solution</em>

The given series is the sum of integers 1-99, with 6 times the sum of integers 1-33 subtracted. That is, ...

  1 + 2 - 3 + 4 + 5 - 6 = 1+2+3+4+5+6 -2(3 +6) = 1+2+3+4+5+6 -6(1+2)

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3 0
2 years ago
Mrs. Piper is driving Anna, Jo, and Mai home from school. All of them want to ride in the front seat. How can she make a fair de
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6 0
4 years ago
Read 2 more answers
2) What is the slope of a line perpendicular to the line y = 2x – 3 ?
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Answer:

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7 0
3 years ago
Read 2 more answers
When two six-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is not 5.
zaharov [31]

Answer:

p(Not\ 5) = \frac{8}{9}

Step-by-step explanation:

Given:

Txo six-sided dice are rolled.

Total number of outcomes n(S) = 36

We need to find the probability that the sum is not equal to 5 p(Not 5).

Solution:

Using probability formula.

P(E)=\frac{n(E)}{n(S)}  ----------------(1)

Where:

n(E) is the number of outcomes favourable to E.

n(S) is the total number of equally likely outcomes.

The sum of two six-sided dice roll outcome is equal to 5 as.

Outcome as 5: {(1,4), (2,3), (3,2), (4,1)}

So, the total favourable events n(E) = 4

Now, we substitute n(E) and n(s) in equation 1.

P(5)=\frac{4}{36}

p(5) = \frac{1}{9}

Using formula.

p(Not\ E) + p(E) = 1

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p(Not\ 5) = \frac{8}{9}

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