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Nadya [2.5K]
4 years ago
8

A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

There are half as many adults as there are children. If the total ticket sales was $ 1100, How many children, students, and adults attended? Children Attended= ? Students Attended= ? Adults Attended=? PLEASE ANSWER ASAP
Mathematics
1 answer:
Katena32 [7]4 years ago
3 0

Answer:

x (children) = 58

y (students) = 66

z (adults) = 29

Step-by-step explanation:

Step 1: Write system of equations

x + y + z = 153

5x + 7y + 12z = 1100

1/2x = z

The best way to solve the systems of equations is to use an augmented matrix:

Top row: [1 1 1 | 153]

Middle row: [5 7 12 | 1100]

Bottom row: [1/2 0 -1 | 0]

And then put it in RREF form:

Top row: [1 0 0 | 58]

Middle row: [0 1 0 | 66]

Bottom row: [0 0 1 | 29]

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F=f (1-v/s) change the subject of the formula into v
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Changing the subject of the formula into v means expressing v in terms of the other given variables. So given the original equation, as shown below, we can rearrange it so that we have v isolated on one side.

F = f(1 - \frac{v}{s})
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\frac{v}{s} = 1 - \frac{F}{f}

To isolate v, we can just multiply s to both sides and come up with the final equation below.

v = s(1 - \frac{F}{f})

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3 years ago
I need helphdhhd;hhdhdjdjieieieiieieii
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The answer is:  " 2x¹⁶ y " .
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This is the "most simplified" version of the expression given.
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Explanation:
________________________________________

Given:  "2xy (x⁵)³ " ;  Simplify .
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Note:  (x ⁵) ³ = x⁽ ⁵ * ³ ⁾  =  x ⁽¹⁵⁾ ;
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Rewrite:  

2xy (x⁵)³ = 2xy x⁽¹⁵⁾ ; 

Rewrite:

2 * x * x⁽¹⁵⁾ * y ;

Note:   "x * x⁽¹⁵⁾ = x¹  *  x¹⁵  = x⁽¹ ⁺ ¹⁵⁾ = x¹⁶ ;

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3 years ago
Solve the system of equations using the substitution method.
Delicious77 [7]

Answer:

x = 14

y = -3

Step-by-step explanation:

Given

2x + 8y =4

x = -3y + 5

Required

Solve

Substitute x = -3y + 5 in 2x + 8y =4

2(-3y + 5) + 8y =4

Open bracket

-6y + 10 + 8y =4

Collect like terms

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Divide both sides by 2

y = -3

Substitute y = -3 in x = -3y + 5

x = -3 * -3 + 5

x = 9+ 5

x = 14

8 0
3 years ago
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